https://wiki.math.wisc.edu/api.php?action=feedcontributions&user=Boston&feedformat=atomUW-Math Wiki - User contributions [en]2024-03-28T18:01:19ZUser contributionsMediaWiki 1.39.5https://wiki.math.wisc.edu/index.php?title=Colloquia/Fall18&diff=14191Colloquia/Fall182017-09-21T00:29:57Z<p>Boston: </p>
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<div>__NOTOC__<br />
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= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
<!-- ==[[Tentative Colloquia|Tentative schedule for next semester]] == --><br />
<br />
==Fall 2017==<br />
<br />
{| cellpadding="8"<br />
!align="left" | Date <br />
!align="left" | Speaker<br />
!align="left" | Title<br />
!align="left" | Host(s)<br />
|-<br />
|September 8<br />
| [https://sites.google.com/a/wisc.edu/theresa-c-anderson/home/ Tess Anderson] (Madison)<br />
|[[#September 8: Tess Anderson (Madison) | A Spherical Maximal Function along the Primes ]]<br />
| Yang<br />
|<br />
|-<br />
|September 15<br />
|<br />
|[[#| ]]<br />
|<br />
|<br />
|<br />
|-<br />
|September 22, '''9th floor'''<br />
| Jaeyoung Byeon (KAIST)<br />
|[[#September 22: Jaeyoung Byeon (KAIST) | Patterns formation for elliptic systems with large interaction forces ]]<br />
| Rabinowitz & Kim<br />
|<br />
|-<br />
|September 29<br />
|<br />
|[[# TBA| TBA ]]<br />
|<br />
|<br />
|-<br />
|October 6<br />
| [http://www3.nd.edu/~jhauenst/ Jonathan Hauenstein] (Notre Dame)<br />
|[[#October 6: Jonathan Hauenstein (Notre Dame) | Real solutions of polynomial equations ]]<br />
| Boston<br />
| <br />
|-<br />
|October 13<br />
|Tomoko L. Kitagawa (Berkeley)<br />
|[[# TBA| TBA ]]<br />
| Max<br />
|<br />
|-<br />
|October 20<br />
| [http://cims.nyu.edu/~pgermain/ Pierre Germain] (Courant, NYU) <br />
|[[# TBA| TBA ]]<br />
| Minh-Binh Tran<br />
|<br />
|-<br />
|October 27<br />
|Stefanie Petermichl (Toulouse)<br />
|[[# TBA| TBA ]]<br />
| Stovall, Seeger<br />
|<br />
|-<br />
|We, November 1<br />
|Shaoming Guo (Indiana)<br />
|[[# TBA| TBA ]]<br />
|<br />
|<br />
|-<br />
|November 3<br />
|Alexander Yom Din (Caltech)<br />
|[[# TBA| TBA ]]<br />
|<br />
|<br />
|-<br />
|November 10<br />
| Reserved for possible job talks<br />
|[[# TBA| TBA ]]<br />
|<br />
|<br />
|-<br />
|November 17<br />
| Reserved for possible job talks<br />
|[[# TBA| TBA ]]<br />
|<br />
|<br />
|-<br />
|November 24<br />
|'''Thanksgiving break'''<br />
|[[# TBA| TBA ]]<br />
|<br />
|<br />
|-<br />
|December 1<br />
| Reserved for possible job talks<br />
|[[# TBA| TBA ]]<br />
|<br />
|<br />
|-<br />
|December 8<br />
| Reserved for possible job talks<br />
|[[# TBA| TBA ]]<br />
|<br />
|<br />
|-<br />
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|}<br />
<br />
== Fall Abstracts ==<br />
=== September 8: Tess Anderson (Madison) ===<br />
Title: A Spherical Maximal Function along the Primes<br />
<br />
Abstract: Many problems at the interface of analysis and number theory involve showing that the primes, though deterministic, exhibit random behavior. The Green-Tao theorem stating that the primes contain infinitely long arithmetic progressions is one such example. In this talk, we show that prime vectors equidistribute on the sphere in the same manner as a random set of integer vectors would be expected to. We further quantify this with explicit bounds for naturally occurring maximal functions, which connects classical tools from harmonic analysis with analytic number theory. This is joint work with Cook, Hughes, and Kumchev.<br />
<br />
<br />
=== September 22: Jaeyoung Byeon (KAIST) ===<br />
Title: Patterns formation for elliptic systems with large interaction forces<br />
<br />
Abstract: Nonlinear elliptic systems arising from nonlinear Schroedinger systems have simple looking reaction terms. The corresponding energy for the reaction terms can be expressed as quadratic forms in terms of density functions. The i, j-th entry of the matrix for the quadratic form represents the interaction force between the components i and j of the system. If the sign of an entry is positive, the force between the two components is attractive; on the other hand, if it is negative, it is repulsive. When the interaction forces between different components are large, the network structure of attraction and repulsion between components might produce several interesting patterns for solutions. As a starting point to study the general pattern formation structure for systems with a large number of components, I will first discuss the simple case of 2-component systems, and then the much more complex case of 3-component systems.<br />
<br />
===October 6: Jonathan Hauenstein (Notre Dame) ===<br />
Title: Real solutions of polynomial equations<br />
<br />
Abstract: Systems of nonlinear polynomial equations arise frequently in applications with the set of real solutions typically corresponding to physically meaningful solutions. Efficient algorithms for computing real solutions are designed by exploiting structure arising from the application. This talk will highlight some of these algorithms for various applications such as solving steady-state problems of hyperbolic conservation laws, solving semidefinite programs, and computing all steady-state solutions of the Kuramoto model. <br />
<br />
== Spring 2018 ==<br />
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== Spring Abstracts ==<br />
<br />
=== <DATE>: <PERSON> (INSTITUTION) ===<br />
Title: <TITLE><br />
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Abstract: <ABSTRACT><br />
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== Past Colloquia ==<br />
<br />
[[Colloquia/Blank|Blank Colloquia]]<br />
<br />
[[Colloquia/Spring2017|Spring 2017]]<br />
<br />
[[Archived Fall 2016 Colloquia|Fall 2016]]<br />
<br />
[[Colloquia/Spring2016|Spring 2016]]<br />
<br />
[[Colloquia/Fall2015|Fall 2015]]<br />
<br />
[[Colloquia/Spring2014|Spring 2015]]<br />
<br />
[[Colloquia/Fall2014|Fall 2014]]<br />
<br />
[[Colloquia/Spring2014|Spring 2014]]<br />
<br />
[[Colloquia/Fall2013|Fall 2013]]<br />
<br />
[[Colloquia 2012-2013|Spring 2013]]<br />
<br />
[[Colloquia 2012-2013#Fall 2012|Fall 2012]]</div>Bostonhttps://wiki.math.wisc.edu/index.php?title=NTS_ABSTRACT&diff=12229NTS ABSTRACT2016-09-07T16:14:19Z<p>Boston: /* Oct 6 */</p>
<hr />
<div>Return to [https://www.math.wisc.edu/wiki/index.php/NTS NTS Spring 2016]<br />
<br />
== Sep 8 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Arunabha Biswas'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Limiting values of higher Mahler Measure and cyclotomic polynomials.<br />
|-<br />
| bgcolor="#BCD2EE" | We consider the k-higher Mahler measure m_k(P) of a Laurent polynomial P as the integral of log^k |P| over the complex unit circle. In number theory, Lehmer's conjecture and the appearance of higher Mahler measures in L-functions are the main sources of motivation for studying various properties of m_k(P). Beyond number theory, Mahler measure has connections with topological entropies of dynamical systems and polynomial knot invariants. In this talk I shall present (1) an explicit formula for the value of |m_k(P)|/k! as k approaches infinity, (2) some asymptotic results regarding m_k(P) and (3) a scheme to approximate special values of a class of L-functions.<br />
<br />
|} <br />
</center><br />
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<br><br />
<br />
== Sep 15 ==<br />
<br />
<center><br />
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| bgcolor="#F0A0A0" align="center" style="font-size:125%" |<br />
|-<br />
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|-<br />
| bgcolor="#BCD2EE" | <br />
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</center><br />
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<br><br />
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== Sep 22 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Alex Smith'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | title coming soon<br />
|-<br />
| bgcolor="#BCD2EE" | abstract coming soon<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Sep 29 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" |'''Steve Lester'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | title coming soon<br />
|-<br />
| bgcolor="#BCD2EE" | abstract coming soon<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Oct 6 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" |'''Nicole Looper'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Arboreal Galois representations of higher degree polynomials and Odoni's Conjecture<br />
|-<br />
| bgcolor="#BCD2EE" | Since the mid-1980s, when the study of arboreal Galois representations first began, most results have concerned the representations induced by quadratic rational maps. In the higher degree case, by contrast, very little has been known. I will discuss some recent results pertaining to higher degree polynomials over number fields. This will include a partial solution to a conjecture made by R.W.K. Odoni in 1985.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
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== Oct 13 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" |'''Ling Long'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | title coming soon<br />
|-<br />
| bgcolor="#BCD2EE" | abstract coming soon<br />
<br />
|} <br />
</center><br />
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<br><br />
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== Oct 20 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Jack Klys'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | title coming soon<br />
|-<br />
| bgcolor="#BCD2EE" | abstract coming soon<br />
<br />
|} <br />
</center><br />
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<br><br />
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== Oct 27 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''William Duke'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" |<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
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|} <br />
</center><br />
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<br><br />
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== Nov 3 ==<br />
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== Nov 10 ==<br />
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<br><br />
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== Nov 17 ==<br />
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<br><br />
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== Dec 1 ==<br />
<br />
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<br><br />
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== Dec 8 ==<br />
<br />
<center><br />
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|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" |<br />
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</center> <br />
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<br><br />
<br />
== Dec 15 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Efrat Bank'''<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Primes in short intervals on curves over finite fields<br />
|-<br />
| bgcolor="#BCD2EE" | abstract coming soon<br />
<br />
<br />
|} <br />
<br />
</center></div>Bostonhttps://wiki.math.wisc.edu/index.php?title=NTS&diff=12228NTS2016-09-07T16:12:51Z<p>Boston: /* Fall 2016 Semester */</p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B235 (Note the new room)<br />
*Please join the NTS mailing list: [mailto:join-nts@lists.wisc.edu join-nts@lists.wisc.edu]<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
= Fall 2016 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Sep 8<br />
| bgcolor="#F0B0B0" align="center" | [http://www.mast.queensu.ca/~biswas/ Arunabha Biswas] (Queen's University)<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACT#Sep_8 ''Limiting values of higher Mahler Measure and cyclotomic polynomials.'']<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Sep 15<br />
| bgcolor="#F0B0B0" align="center" | Naser T Sardari (UW Madison)<br />
| bgcolor="#BCE2FE"| "Discrete Log problem for the algebraic group PGL_2"<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Sep 22<br />
| bgcolor="#F0B0B0" align="center" | Alex Smith (Harvard)<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACT#Sep_22 ''title coming soon'']<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Sep 29<br />
| bgcolor="#F0B0B0" align="center" | [http://people.kth.se/~sjlester/ Steve Lester] (KTH)<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACT#Sep_29 ''title coming soon'']<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Oct 6<br />
| bgcolor="#F0B0B0" align="center" | Nicole Looper (Northwestern)<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACT#Oct_6 ''Arboreal Galois representations of higher degree polynomials and Odoni's Conjecture'']<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Oct 13<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.lsu.edu/~llong/ Ling Long] (LSU)<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACT#Oct_13 ''title coming soon'']<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Oct 20<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.toronto.edu/cms/klys-jack/ Jack Klys] (Toronto)<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACT#Oct_20 ''title coming soon'']<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Oct 27<br />
| bgcolor="#F0B0B0" align="center" | [http://www.math.ucla.edu/~wdduke/ William Duke] (UCLA)<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACT#Oct_27 ''title coming soon'']<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Nov 3<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Nov 10<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Nov 17<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Nov 24<br />
| bgcolor="#F0B0B0" align="center" | ''Thanksgiving''<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Dec 1<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Dec 8<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Dec 15<br />
| bgcolor="#F0B0B0" align="center" | [http://www-personal.umich.edu/~ebank/ Efrat Bank] (Michigan)<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACT#Dec_15 ''Primes in short intervals on curves over finite fields'']<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Dec 22<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|-<br />
|}<br />
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</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~grizzard/ Bobby Grizzard]<br />
----<br />
The seminar webpage for next semester, Spring 2017 is [[NTS_Spring_2017|here]].<br><br />
<br />
The seminar webpage for last semester, Spring 2016 is [[NTS_Spring_2016|here]].<br><br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Bostonhttps://wiki.math.wisc.edu/index.php?title=NTS&diff=12059NTS2016-08-15T16:09:15Z<p>Boston: /* Fall 2016 Semester */</p>
<hr />
<div>= Number Theory / Representation Theory Seminar, University of Wisconsin - Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30 PM – 3:30 PM<br />
*'''Where:''' Van Vleck B129 (SUBJECT TO CHANGE)<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
There is also an accompanying [https://www.math.wisc.edu/wiki/index.php/NTSGrad graduate-level seminar], which meets on Tuesdays.<br><br />
<br />
= Fall 2016 Semester =<br />
<br />
<center><br />
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{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker''' (click for homepage)<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title''' (click for abstract)<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Sep 8<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Sep 15<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Sep 22<br />
| bgcolor="#F0B0B0" align="center" | <br />
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|- <br />
| bgcolor="#E0E0E0" align="center" | Sep 29<br />
| bgcolor="#F0B0B0" align="center" | <br />
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|- <br />
| bgcolor="#E0E0E0" align="center" | Oct 6<br />
| bgcolor="#F0B0B0" align="center" | Nicole Looper<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Oct 13<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.lsu.edu/~llong/ Ling Long]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACT#Oct_13 ''title coming soon'']<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Oct 20<br />
| bgcolor="#F0B0B0" align="center" | [https://www.math.toronto.edu/cms/klys-jack/ Jack Klys]<br />
| bgcolor="#BCE2FE"| <br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Oct 27<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Nov 3<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Nov 10<br />
| bgcolor="#F0B0B0" align="center" | <br />
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|-<br />
| bgcolor="#E0E0E0" align="center" | Nov 17<br />
| bgcolor="#F0B0B0" align="center" | <br />
| bgcolor="#BCE2FE"|<br />
|-<br />
| bgcolor="#E0E0E0" align="center" | Nov 24<br />
| bgcolor="#F0B0B0" align="center" | ''Thanksgiving''<br />
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|- <br />
| bgcolor="#E0E0E0" align="center" | Dec 1<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Dec 8<br />
| bgcolor="#F0B0B0" align="center" |<br />
| bgcolor="#BCE2FE"| <br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Dec 15<br />
| bgcolor="#F0B0B0" align="center" | [http://www-personal.umich.edu/~ebank/ Efrat Bank]<br />
| bgcolor="#BCE2FE"| [https://www.math.wisc.edu/wiki/index.php/NTS_ABSTRACT#Dec_15 ''Primes in short intervals on curves over finite fields'']<br />
|- <br />
| bgcolor="#E0E0E0" align="center" | Dec 22<br />
| bgcolor="#F0B0B0" align="center" | <br />
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|}<br />
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</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~grizzard/ Bobby Grizzard]<br />
----<br />
The seminar webpage for last semester, Spring 2016 is [[NTS_Spring_2016|here]].<br><br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Bostonhttps://wiki.math.wisc.edu/index.php?title=Applied_and_Computational_Mathematics&diff=6525Applied and Computational Mathematics2014-02-01T16:14:17Z<p>Boston: </p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* '''Leland Jefferis''' (Ph.D. student of Shi Jin) was awarded an NSF Postdoctoral Fellowship and will be a postdoc at Department of Mathematics, Stanford University starting in Fall 2014. <!-- Added by jeanluc 2014-02-01 --><br />
<br />
* '''Qin Li''' (student of Shi Jin) graduated in Summer 2013. She was awarded an ''Excellence in Research'' award by the math department and has accepted a von Karman Instructor position at Caltech. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
* '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow]. Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows]. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
<br><br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Mondays at 3:40pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)<br />
<!-- * Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811) --><br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)<br />
* [http://www.cs.wisc.edu/category/event-types/wid-dow-presentation-series WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
* [http://www.aos.wisc.edu/calendar/colloquium.htm AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)<br />
<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis<br />
and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology.<br />
<br />
[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
[http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials<br />
<br />
<br><br />
<br />
== Postdoctoral fellows and researchers ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/30-majid-arabgol Majid Arabgol:]<br />
HPC & Visualization Research Scholar<br />
<br />
[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)<br />
<br />
[http://mbudisic.wordpress.com Marko Budi&#x161;i&#x107;:] (UC Santa Barbara, 2012) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)<br />
<br />
[http://www.math.wisc.edu/~sqchen/ Shengqian "Chessy" Chen:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics<br />
<br />
[http://www.math.wisc.edu/~shottovy/ Scott Hottovy:] (Arizona, 2013) probability, stochastic processes, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]<br />
(University of Waterloo, 2011) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~ogrosky/ Reed Ogrosky:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jhao8/ Jing Hao:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~leili/ Lei Li:] Student of Saverio Spagnolie.<br />
<br />
Liu Liu: Student of Shi Jin<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie.<br />
<br />
[http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~nan/ Ting-Ting Nan:] Student of Nigel Boston.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.<br />
<br />
Yun Sun: Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~wen/ Huanyu Wen:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
[http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.<br />
<br />
<!-- Past students: --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<!--Zhan Wang: Student of Paul Milewski.--><br />
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.--><br />
<!--Peng Qi: Student of Shi Jin. --><br />
<!--Li (Aug) Wang: Student of Shi Jin. --><br />
<!--Li Wang: Student of Leslie Smith. --><br />
<!--David Seal: Student of James Rossmanith. --><br />
<!--E. Alec Johnson: Student of James Rossmanith. --><br />
<!--Hesam Dashti: MSc Student of Amir Assadi.--><br />
<!--Qiang Deng: Student of Leslie Smith.--><br />
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.--><br />
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.--><br />
<!--Yongtao Cheng: Student of James Rossmanith.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault. --><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===<br />
<br />
* Math 605: Stochastic Methods for Biology (David Anderson)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===<br />
<br />
<br />
* Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)<br />
* Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie)<br />
<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===<br />
<br />
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) --><br />
<br />
<!-- === Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) --><br />
<br />
<br />
<!--<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Bostonhttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=5727Algebra2013-08-30T15:24:53Z<p>Boston: </p>
<hr />
<div>== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)<br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. <br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2005) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Combinatorics, representation theory and special functions. <br />
<br />
[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.--><br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<!--<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.--><br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups<br />
<br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
Applied Algebra Seminar (Thursdays 11)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<br />
Lie Theory Seminar (Mondays at 1:20 in VV901)<br />
<!--<br />
[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
Midwest Algebraic Geometry Conference for Graduate Students -- watch this space!<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), and UT-Austin, to tenure-track jobs at McGill, Wake Forest, Bucknell, the University of New Mexico, Chennai Mathematical Institute (India), and the University of South Carolina, and to non-academic positions at places such as Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Richard Askey <br />
John Bascom Professor, Ph.D Princeton (1961) <br />
Research: Special Functions<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
Hiroshi Gunji <br />
Professor, Ph.D. Johns Hopkins University (1962) <br />
Research: Algebraic geometry<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
Arnold Johnson <br />
Professor, Ph.D. University of Notre Dame (1965) <br />
Research: Classical Groups<br />
<br />
Lawrence Levy <br />
Professor, Ph.D. University of Illinois at Urbana-Champaign (1961) <br />
Research: Commutative and noncommutative ring theory<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Hans Schneider <br />
J. J. Sylvester Professor of Mathematics, Ph.D. University of Edinburgh (1952) <br />
Research: Linear algebra and matrix theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Bostonhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2013&diff=4802NTS Spring 20132012-12-15T05:39:29Z<p>Boston: </p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' TBD <br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
= Spring 2013 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Jan 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.technion.ac.il/~tamarzr/ Tamar Ziegler] <br> (Technion)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#January 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Jan 31 (Thurs.)<br />
| bgcolor="#F0B0B0"| Reserved <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#January 31 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 7 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#February 7 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 14 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#February 14 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 21 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#February 21 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 28 (Thurs.)<br />
| bgcolor="#F0B0B0"| David Perry <br> (NSA)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#February 28 | <font color="black"><em>The Cracking of Enigma</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 7 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#March 7 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 14 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.columbia.edu/~xuehang/ Hang Xue]<br> (Columbia)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#March 14 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 21 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who?<br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#March 21 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 28 (Thurs.)<br />
| bgcolor="#F0B0B0"| No seminar<br> (Spring break!)<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Spring break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Apr 4 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://hobbes.la.asu.edu/ John Jones]<br> (Arizona State)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#April 4 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 11 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.mit.edu/~asnowden/ Andrew Snowden] <br>(MIT)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#April 11 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 18 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br>(Where?) <br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#April 18 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 25 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#April 25 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 2 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.columbia.edu/~who/ Wei Ho] <br> (Columbia/Princeton)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#May 2 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 9 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.wisdom.weizmann.ac.il/~gelbar/ Stephen Gelbart] <br> (Weizmann Institute)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#May 9 | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Fall 2012|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Bostonhttps://wiki.math.wisc.edu/index.php?title=NTS_Spring_2013&diff=4801NTS Spring 20132012-12-15T05:37:19Z<p>Boston: </p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays, 2:30pm–3:30pm.<br />
*'''Where:''' TBD <br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:] (you must be on a math department computer to use this link).<br />
<br />
= Spring 2013 Semester =<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| Jan 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.technion.ac.il/~tamarzr/ Tamar Ziegler] <br> (Technion)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#January 24 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Jan 31 (Thurs.)<br />
| bgcolor="#F0B0B0"| Reserved <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#January 31 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 7 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#February 7 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 14 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#February 14 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 21 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#February 21 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Feb 28 (Thurs.)<br />
| bgcolor="#F0B0B0"| David Perry <br> (NSA)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#February 28 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 7 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#March 7 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 14 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.columbia.edu/~xuehang/ Hang Xue]<br> (Columbia)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#March 14 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 21 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who?<br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#March 21 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Mar 28 (Thurs.)<br />
| bgcolor="#F0B0B0"| No seminar<br> (Spring break!)<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Spring break!</em></font><br />
|- <br />
| bgcolor="#E0E0E0"| Apr 4 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://hobbes.la.asu.edu/ John Jones]<br> (Arizona State)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#April 4 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 11 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.mit.edu/~asnowden/ Andrew Snowden] <br>(MIT)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#April 11 | <font color="black"><em>tba</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| Apr 18 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br>(Where?) <br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#April 18 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| Apr 25 (Thurs.)<br />
| bgcolor="#F0B0B0"| Who? <br> (Where?)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#April 25 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 2 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.columbia.edu/~who/ Wei Ho] <br> (Columbia/Princeton)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#May 2 | <font color="black"><em>tba</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| May 9 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.wisdom.weizmann.ac.il/~gelbar/ Stephen Gelbart] <br> (Weizmann Institute)<br />
| bgcolor="#BCE2FE"|[[NTS Spring 2013/Abstracts#May 9 | <font color="black"><em>tba</em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
= Organizer contact information =<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun]<br />
<br />
Sean Rostami<br />
<br />
----<br />
Also of interest is the [[NTSGrad|Grad student seminar]] which meets on Tuesdays.<br><br />
Last semester's seminar page is [[NTS Fall 2012|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Bostonhttps://wiki.math.wisc.edu/index.php?title=Group_Theory_Seminar&diff=4665Group Theory Seminar2012-11-05T19:46:15Z<p>Boston: </p>
<hr />
<div>The Group Theory Seminar meets in room B129 of Van Vleck Hall on Tuesdays at 4pm.<br />
<br><br />
For more information, contact [http://www.math.wisc.edu/~boston/ Nigel Boston].<br />
<br />
<br />
== Fall 2012==<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 4<br />
|<br />
|<br />
|<br />
|-<br />
|September 11<br />
|<br />
|<br />
|<br />
|-<br />
|September 18<br />
|<br />
|<br />
|<br />
|-<br />
|September 25<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, I.'']]<br />
|local<br />
|-<br />
|October 2<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, II.'']]<br />
|local<br />
|-<br />
|October 9<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, III.'']]<br />
|local<br />
|-<br />
|October 16<br />
|[http://www.math.wisc.edu/~isaacs/ Marty Isaacs] (Wisconsin)<br />
|[[#Marty Isaacs|<br />
''Character Theory, I.'']]<br />
|local<br />
|-<br />
|October 23<br />
|[http://www.math.wisc.edu/~isaacs/ Marty Isaacs] (Wisconsin)<br />
|[[#Marty Isaacs|<br />
''Character Theory, II.'']]<br />
|local<br />
|-<br />
|October 30<br />
|[http://www.math.wisc.edu/~isaacs/ Marty Isaacs] (Wisconsin)<br />
|[[#Marty Isaacs|<br />
''Character Theory, III.'']]<br />
|local<br />
|-<br />
|November 6<br />
|[http://www.math.wisc.edu/~jensen/ Sara Jensen] (Wisconsin)<br />
|[[#Sara Jensen|<br />
''Results on the Character Degree Graph of Finite Groups.'']]<br />
|local<br />
|-<br />
|November 13<br />
|[http://www.cs.wisc.edu/users/srich Sarah Rich] (Wisconsin)<br />
|[[#Sarah Rich|<br />
''An Introduction to the Grigorchuk Group and Groups like it.'']]<br />
|local<br />
|-<br />
| November 20 (week of Thanksgiving)<br />
|[http://www.cs.wisc.edu/users/srich Sarah Rich] (Wisconsin)<br />
|[[#Sarah Rich|<br />
''Self-Similar Groups and Amenability.'']]<br />
|local<br />
|-<br />
|November 27<br />
|<br />
|<br />
|<br />
|-<br />
|December 4<br />
|<br />
|<br />
|<br />
|-<br />
|December 11<br />
|<br />
|<br />
|<br />
|-<br />
|}<br />
<br />
== Fall Abstracts ==<br />
<br />
===Don Passman===<br />
''Group Rings''<br />
<br />
These three talks will be an introduction to group rings.<br />
<br />
== Spring 2013 ==<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|January 22<br />
|<br />
|<br />
|<br />
|-<br />
|January 29<br />
|<br />
|<br />
|<br />
|-<br />
|February 5<br />
|<br />
|<br />
|<br />
|-<br />
|February 12<br />
|<br />
|<br />
|<br />
|-<br />
|February 19<br />
|<br />
|<br />
|<br />
|-<br />
|February 26<br />
|<br />
|<br />
|<br />
|-<br />
|March 5<br />
|<br />
|<br />
|<br />
|-<br />
|March 12<br />
|<br />
|<br />
|<br />
|-<br />
|March 19<br />
|<br />
|<br />
|<br />
|-<br />
|Spring Break<br />
|<br />
|<br />
|<br />
|-<br />
|April 2<br />
|<br />
|<br />
|<br />
|-<br />
|April 9<br />
|<br />
|<br />
|<br />
|-<br />
|April 16<br />
|<br />
|<br />
|<br />
|-<br />
|April 23<br />
|<br />
|<br />
|<br />
|-<br />
|April 30<br />
|<br />
|<br />
|<br />
|-<br />
|May 7<br />
|<br />
|<br />
|<br />
|-<br />
|}<br />
<br />
== Spring Abstracts ==</div>Bostonhttps://wiki.math.wisc.edu/index.php?title=Group_Theory_Seminar&diff=4664Group Theory Seminar2012-11-05T19:44:52Z<p>Boston: </p>
<hr />
<div>The Group Theory Seminar meets in room B129 of Van Vleck Hall on Tuesdays at 4pm.<br />
<br><br />
For more information, contact [http://www.math.wisc.edu/~boston/ Nigel Boston].<br />
<br />
<br />
== Fall 2012==<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 4<br />
|<br />
|<br />
|<br />
|-<br />
|September 11<br />
|<br />
|<br />
|<br />
|-<br />
|September 18<br />
|<br />
|<br />
|<br />
|-<br />
|September 25<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, I.'']]<br />
|local<br />
|-<br />
|October 2<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, II.'']]<br />
|local<br />
|-<br />
|October 9<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, III.'']]<br />
|local<br />
|-<br />
|October 16<br />
|[http://www.math.wisc.edu/~isaacs/ Marty Isaacs] (Wisconsin)<br />
|[[#Marty Isaacs|<br />
''Character Theory, I.'']]<br />
|local<br />
|-<br />
|October 23<br />
|[http://www.math.wisc.edu/~isaacs/ Marty Isaacs] (Wisconsin)<br />
|[[#Marty Isaacs|<br />
''Character Theory, II.'']]<br />
|local<br />
|-<br />
|October 30<br />
|[http://www.math.wisc.edu/~isaacs/ Marty Isaacs] (Wisconsin)<br />
|[[#Marty Isaacs|<br />
''Character Theory, III.'']]<br />
|local<br />
|-<br />
|November 6<br />
|[http://www.math.wisc.edu/~jensen/ Sara Jensen] (Wisconsin)<br />
|[[#Sara Jensen|<br />
''Results on the Character Degree Graph of Finite Groups.''<br />
|local<br />
|-<br />
|November 13<br />
|[http://www.cs.wisc.edu/users/srich Sarah Rich] (Wisconsin)<br />
|[[#Sarah Rich|<br />
''An Introduction to the Grigorchuk Group and Groups like it.'']]<br />
|local<br />
|-<br />
| November 20 (week of Thanksgiving)<br />
|[http://www.cs.wisc.edu/users/srich Sarah Rich] (Wisconsin)<br />
|[[#Sarah Rich|<br />
''Self-Similar Groups and Amenability.'']]<br />
|local<br />
|-<br />
|November 27<br />
|<br />
|<br />
|<br />
|-<br />
|December 4<br />
|<br />
|<br />
|<br />
|-<br />
|December 11<br />
|<br />
|<br />
|<br />
|-<br />
|}<br />
<br />
== Fall Abstracts ==<br />
<br />
===Don Passman===<br />
''Group Rings''<br />
<br />
These three talks will be an introduction to group rings.<br />
<br />
== Spring 2013 ==<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|January 22<br />
|<br />
|<br />
|<br />
|-<br />
|January 29<br />
|<br />
|<br />
|<br />
|-<br />
|February 5<br />
|<br />
|<br />
|<br />
|-<br />
|February 12<br />
|<br />
|<br />
|<br />
|-<br />
|February 19<br />
|<br />
|<br />
|<br />
|-<br />
|February 26<br />
|<br />
|<br />
|<br />
|-<br />
|March 5<br />
|<br />
|<br />
|<br />
|-<br />
|March 12<br />
|<br />
|<br />
|<br />
|-<br />
|March 19<br />
|<br />
|<br />
|<br />
|-<br />
|Spring Break<br />
|<br />
|<br />
|<br />
|-<br />
|April 2<br />
|<br />
|<br />
|<br />
|-<br />
|April 9<br />
|<br />
|<br />
|<br />
|-<br />
|April 16<br />
|<br />
|<br />
|<br />
|-<br />
|April 23<br />
|<br />
|<br />
|<br />
|-<br />
|April 30<br />
|<br />
|<br />
|<br />
|-<br />
|May 7<br />
|<br />
|<br />
|<br />
|-<br />
|}<br />
<br />
== Spring Abstracts ==</div>Bostonhttps://wiki.math.wisc.edu/index.php?title=Group_Theory_Seminar&diff=4604Group Theory Seminar2012-10-26T08:55:43Z<p>Boston: </p>
<hr />
<div>The Group Theory Seminar meets in room B129 of Van Vleck Hall on Tuesdays at 4pm.<br />
<br><br />
For more information, contact [http://www.math.wisc.edu/~boston/ Nigel Boston].<br />
<br />
<br />
== Fall 2012==<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 4<br />
|<br />
|<br />
|<br />
|-<br />
|September 11<br />
|<br />
|<br />
|<br />
|-<br />
|September 18<br />
|<br />
|<br />
|<br />
|-<br />
|September 25<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, I.'']]<br />
|local<br />
|-<br />
|October 2<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, II.'']]<br />
|local<br />
|-<br />
|October 9<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, III.'']]<br />
|local<br />
|-<br />
|October 16<br />
|[http://www.math.wisc.edu/~isaacs/ Marty Isaacs] (Wisconsin)<br />
|[[#Marty Isaacs|<br />
''Character Theory, I.'']]<br />
|local<br />
|-<br />
|October 23<br />
|[http://www.math.wisc.edu/~isaacs/ Marty Isaacs] (Wisconsin)<br />
|[[#Marty Isaacs|<br />
''Character Theory, II.'']]<br />
|local<br />
|-<br />
|October 30<br />
|[http://www.math.wisc.edu/~isaacs/ Marty Isaacs] (Wisconsin)<br />
|[[#Marty Isaacs|<br />
''Character Theory, III.'']]<br />
|local<br />
|-<br />
|November 6<br />
|<br />
|<br />
|<br />
|-<br />
|November 13<br />
|[http://www.cs.wisc.edu/users/srich Sarah Rich] (Wisconsin)<br />
|[[#Sarah Rich|<br />
''An Introduction to the Grigorchuk Group and Groups like it.'']]<br />
|local<br />
|-<br />
| November 20 (week of Thanksgiving)<br />
|[http://www.cs.wisc.edu/users/srich Sarah Rich] (Wisconsin)<br />
|[[#Sarah Rich|<br />
''Self-Similar Groups and Amenability.'']]<br />
|local<br />
|-<br />
|November 27<br />
|<br />
|<br />
|<br />
|-<br />
|December 4<br />
|<br />
|<br />
|<br />
|-<br />
|December 11<br />
|<br />
|<br />
|<br />
|-<br />
|}<br />
<br />
== Fall Abstracts ==<br />
<br />
===Don Passman===<br />
''Group Rings''<br />
<br />
These three talks will be an introduction to group rings.<br />
<br />
== Spring 2013 ==<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|January 22<br />
|<br />
|<br />
|<br />
|-<br />
|January 29<br />
|<br />
|<br />
|<br />
|-<br />
|February 5<br />
|<br />
|<br />
|<br />
|-<br />
|February 12<br />
|<br />
|<br />
|<br />
|-<br />
|February 19<br />
|<br />
|<br />
|<br />
|-<br />
|February 26<br />
|<br />
|<br />
|<br />
|-<br />
|March 5<br />
|<br />
|<br />
|<br />
|-<br />
|March 12<br />
|<br />
|<br />
|<br />
|-<br />
|March 19<br />
|<br />
|<br />
|<br />
|-<br />
|Spring Break<br />
|<br />
|<br />
|<br />
|-<br />
|April 2<br />
|<br />
|<br />
|<br />
|-<br />
|April 9<br />
|<br />
|<br />
|<br />
|-<br />
|April 16<br />
|<br />
|<br />
|<br />
|-<br />
|April 23<br />
|<br />
|<br />
|<br />
|-<br />
|April 30<br />
|<br />
|<br />
|<br />
|-<br />
|May 7<br />
|<br />
|<br />
|<br />
|-<br />
|}<br />
<br />
== Spring Abstracts ==</div>Bostonhttps://wiki.math.wisc.edu/index.php?title=Group_Theory_Seminar&diff=4582Group Theory Seminar2012-10-22T19:35:30Z<p>Boston: </p>
<hr />
<div>The Group Theory Seminar meets in room B129 of Van Vleck Hall on Tuesdays at 4pm.<br />
<br><br />
For more information, contact [http://www.math.wisc.edu/~boston/ Nigel Boston].<br />
<br />
<br />
== Fall 2012==<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 4<br />
|<br />
|<br />
|<br />
|-<br />
|September 11<br />
|<br />
|<br />
|<br />
|-<br />
|September 18<br />
|<br />
|<br />
|<br />
|-<br />
|September 25<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, I.'']]<br />
|local<br />
|-<br />
|October 2<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, II.'']]<br />
|local<br />
|-<br />
|October 9<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, III.'']]<br />
|local<br />
|-<br />
|October 16<br />
|[http://www.math.wisc.edu/~isaacs/ Marty Isaacs] (Wisconsin)<br />
|[[#Marty Isaacs|<br />
''Character Theory, I.'']]<br />
|local<br />
|-<br />
|October 23<br />
|[http://www.math.wisc.edu/~isaacs/ Marty Isaacs] (Wisconsin)<br />
|[[#Marty Isaacs|<br />
''Character Theory, II.'']]<br />
|local<br />
|-<br />
|October 30<br />
|<br />
|<br />
|<br />
|-<br />
|November 6<br />
|<br />
|<br />
|<br />
|-<br />
|November 13<br />
|[http://www.cs.wisc.edu/users/srich Sarah Rich] (Wisconsin)<br />
|[[#Sarah Rich|<br />
''An Introduction to the Grigorchuk Group and Groups like it.'']]<br />
|local<br />
|-<br />
| November 20 (week of Thanksgiving)<br />
|[http://www.cs.wisc.edu/users/srich Sarah Rich] (Wisconsin)<br />
|[[#Sarah Rich|<br />
''Self-Similar Groups and Amenability.'']]<br />
|local<br />
|-<br />
|November 27<br />
|<br />
|<br />
|<br />
|-<br />
|December 4<br />
|<br />
|<br />
|<br />
|-<br />
|December 11<br />
|<br />
|<br />
|<br />
|-<br />
|}<br />
<br />
== Fall Abstracts ==<br />
<br />
===Don Passman===<br />
''Group Rings''<br />
<br />
These three talks will be an introduction to group rings.<br />
<br />
== Spring 2013 ==<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|January 22<br />
|<br />
|<br />
|<br />
|-<br />
|January 29<br />
|<br />
|<br />
|<br />
|-<br />
|February 5<br />
|<br />
|<br />
|<br />
|-<br />
|February 12<br />
|<br />
|<br />
|<br />
|-<br />
|February 19<br />
|<br />
|<br />
|<br />
|-<br />
|February 26<br />
|<br />
|<br />
|<br />
|-<br />
|March 5<br />
|<br />
|<br />
|<br />
|-<br />
|March 12<br />
|<br />
|<br />
|<br />
|-<br />
|March 19<br />
|<br />
|<br />
|<br />
|-<br />
|Spring Break<br />
|<br />
|<br />
|<br />
|-<br />
|April 2<br />
|<br />
|<br />
|<br />
|-<br />
|April 9<br />
|<br />
|<br />
|<br />
|-<br />
|April 16<br />
|<br />
|<br />
|<br />
|-<br />
|April 23<br />
|<br />
|<br />
|<br />
|-<br />
|April 30<br />
|<br />
|<br />
|<br />
|-<br />
|May 7<br />
|<br />
|<br />
|<br />
|-<br />
|}<br />
<br />
== Spring Abstracts ==</div>Bostonhttps://wiki.math.wisc.edu/index.php?title=Group_Theory_Seminar&diff=4581Group Theory Seminar2012-10-22T19:00:24Z<p>Boston: </p>
<hr />
<div>The Group Theory Seminar meets in room B129 of Van Vleck Hall on Tuesdays at 4pm.<br />
<br><br />
For more information, contact [http://www.math.wisc.edu/~boston/ Nigel Boston].<br />
<br />
<br />
== Fall 2012==<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 4<br />
|<br />
|<br />
|<br />
|-<br />
|September 11<br />
|<br />
|<br />
|<br />
|-<br />
|September 18<br />
|<br />
|<br />
|<br />
|-<br />
|September 25<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, I.'']]<br />
|local<br />
|-<br />
|October 2<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, II.'']]<br />
|local<br />
|-<br />
|October 9<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, III.'']]<br />
|local<br />
|-<br />
|October 16<br />
|[http://www.math.wisc.edu/~isaacs/ Marty Isaacs] (Wisconsin)<br />
|[[#Marty Isaacs|<br />
''Character Theory, I.'']]<br />
|local<br />
|-<br />
|October 23<br />
|[http://www.math.wisc.edu/~isaacs/ Marty Isaacs] (Wisconsin)<br />
|[[#Marty Isaacs|<br />
''Character Theory, II.'']]<br />
|local<br />
|-<br />
|October 30<br />
|<br />
|<br />
|<br />
|-<br />
|November 6<br />
|<br />
|<br />
|<br />
|-<br />
|November 13<br />
|[http://www.cs.wisc.edu/users/srich] (Wisconsin)<br />
|[[#Sarah Rich|<br />
''An Introduction to the Grigorchuk Group and Groups like it.'']]<br />
|local<br />
|-<br />
| November 20 (week of Thanksgiving)<br />
|[http://www.cs.wisc.edu/users/srich] (Wisconsin)<br />
|[[#Sarah Rich|<br />
''Self-Similar Groups and Amenability.'']]<br />
|local<br />
|-<br />
|November 27<br />
|<br />
|<br />
|<br />
|-<br />
|December 4<br />
|<br />
|<br />
|<br />
|-<br />
|December 11<br />
|<br />
|<br />
|<br />
|-<br />
|}<br />
<br />
== Fall Abstracts ==<br />
<br />
===Don Passman===<br />
''Group Rings''<br />
<br />
These three talks will be an introduction to group rings.<br />
<br />
== Spring 2013 ==<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|January 22<br />
|<br />
|<br />
|<br />
|-<br />
|January 29<br />
|<br />
|<br />
|<br />
|-<br />
|February 5<br />
|<br />
|<br />
|<br />
|-<br />
|February 12<br />
|<br />
|<br />
|<br />
|-<br />
|February 19<br />
|<br />
|<br />
|<br />
|-<br />
|February 26<br />
|<br />
|<br />
|<br />
|-<br />
|March 5<br />
|<br />
|<br />
|<br />
|-<br />
|March 12<br />
|<br />
|<br />
|<br />
|-<br />
|March 19<br />
|<br />
|<br />
|<br />
|-<br />
|Spring Break<br />
|<br />
|<br />
|<br />
|-<br />
|April 2<br />
|<br />
|<br />
|<br />
|-<br />
|April 9<br />
|<br />
|<br />
|<br />
|-<br />
|April 16<br />
|<br />
|<br />
|<br />
|-<br />
|April 23<br />
|<br />
|<br />
|<br />
|-<br />
|April 30<br />
|<br />
|<br />
|<br />
|-<br />
|May 7<br />
|<br />
|<br />
|<br />
|-<br />
|}<br />
<br />
== Spring Abstracts ==</div>Bostonhttps://wiki.math.wisc.edu/index.php?title=Group_Theory_Seminar&diff=4580Group Theory Seminar2012-10-22T18:56:33Z<p>Boston: </p>
<hr />
<div>The Group Theory Seminar meets in room B129 of Van Vleck Hall on Tuesdays at 4pm.<br />
<br><br />
For more information, contact [http://www.math.wisc.edu/~boston/ Nigel Boston].<br />
<br />
<br />
== Fall 2012==<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 4<br />
|<br />
|<br />
|<br />
|-<br />
|September 11<br />
|<br />
|<br />
|<br />
|-<br />
|September 18<br />
|<br />
|<br />
|<br />
|-<br />
|September 25<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, I.'']]<br />
|local<br />
|-<br />
|October 2<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, II.'']]<br />
|local<br />
|-<br />
|October 9<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, III.'']]<br />
|local<br />
|-<br />
|October 16<br />
|[http://www.math.wisc.edu/~isaacs/ Marty Isaacs] (Wisconsin)<br />
|[[#Marty Isaacs|<br />
''Character Theory, I.'']]<br />
|local<br />
|-<br />
|October 23<br />
|[http://www.math.wisc.edu/~isaacs/ Marty Isaacs] (Wisconsin)<br />
|[[#Marty Isaacs|<br />
''Character Theory, II.'']]<br />
|local<br />
|-<br />
|October 30<br />
|<br />
|<br />
|<br />
|-<br />
|November 6<br />
|<br />
|<br />
|<br />
|-<br />
|November 13<br />
|[http://www.cs.wisc.edu/users/srich] (Wisconsin)<br />
|[[#Sarah Rich|<br />
''An Introduction to the Grigorchuk Group and Groups like it, I.'']]<br />
|local<br />
|-<br />
| November 20 (week of Thanksgiving)<br />
|<br />
|<br />
|<br />
|-<br />
|November 27<br />
|<br />
|<br />
|<br />
|-<br />
|December 4<br />
|<br />
|<br />
|<br />
|-<br />
|December 11<br />
|<br />
|<br />
|<br />
|-<br />
|}<br />
<br />
== Fall Abstracts ==<br />
<br />
===Don Passman===<br />
''Group Rings''<br />
<br />
These three talks will be an introduction to group rings.<br />
<br />
== Spring 2013 ==<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|January 22<br />
|<br />
|<br />
|<br />
|-<br />
|January 29<br />
|<br />
|<br />
|<br />
|-<br />
|February 5<br />
|<br />
|<br />
|<br />
|-<br />
|February 12<br />
|<br />
|<br />
|<br />
|-<br />
|February 19<br />
|<br />
|<br />
|<br />
|-<br />
|February 26<br />
|<br />
|<br />
|<br />
|-<br />
|March 5<br />
|<br />
|<br />
|<br />
|-<br />
|March 12<br />
|<br />
|<br />
|<br />
|-<br />
|March 19<br />
|<br />
|<br />
|<br />
|-<br />
|Spring Break<br />
|<br />
|<br />
|<br />
|-<br />
|April 2<br />
|<br />
|<br />
|<br />
|-<br />
|April 9<br />
|<br />
|<br />
|<br />
|-<br />
|April 16<br />
|<br />
|<br />
|<br />
|-<br />
|April 23<br />
|<br />
|<br />
|<br />
|-<br />
|April 30<br />
|<br />
|<br />
|<br />
|-<br />
|May 7<br />
|<br />
|<br />
|<br />
|-<br />
|}<br />
<br />
== Spring Abstracts ==</div>Bostonhttps://wiki.math.wisc.edu/index.php?title=Group_Theory_Seminar&diff=4520Group Theory Seminar2012-10-09T22:17:06Z<p>Boston: </p>
<hr />
<div>The Group Theory Seminar meets in room B129 of Van Vleck Hall on Tuesdays at 4pm.<br />
<br><br />
For more information, contact [http://www.math.wisc.edu/~boston/ Nigel Boston].<br />
<br />
<br />
== Fall 2012==<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 4<br />
|<br />
|<br />
|<br />
|-<br />
|September 11<br />
|<br />
|<br />
|<br />
|-<br />
|September 18<br />
|<br />
|<br />
|<br />
|-<br />
|September 25<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, I.'']]<br />
|local<br />
|-<br />
|October 2<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, II.'']]<br />
|local<br />
|-<br />
|October 9<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, III.'']]<br />
|local<br />
|-<br />
|October 16<br />
|[http://www.math.wisc.edu/~isaacs/ Marty Isaacs] (Wisconsin)<br />
|[[#Marty Isaacs|<br />
''Character Theory, I,'']]<br />
|local<br />
|-<br />
|October 23<br />
|[http://www.math.wisc.edu/~isaacs/ Marty Isaacs] (Wisconsin)<br />
|[[#Marty Isaacs|<br />
''Character Theory, II,'']]<br />
|local<br />
|-<br />
|October 30<br />
|<br />
|<br />
|<br />
|-<br />
|November 6<br />
|<br />
|<br />
|<br />
|-<br />
|November 13<br />
|<br />
|<br />
|<br />
|-<br />
| November 20 (week of Thanksgiving)<br />
|<br />
|<br />
|<br />
|-<br />
|November 27<br />
|<br />
|<br />
|<br />
|-<br />
|December 4<br />
|<br />
|<br />
|<br />
|-<br />
|December 11<br />
|<br />
|<br />
|<br />
|-<br />
|}<br />
<br />
== Fall Abstracts ==<br />
<br />
===Don Passman===<br />
''Group Rings''<br />
<br />
These three talks will be an introduction to group rings.<br />
<br />
== Spring 2013 ==<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|January 22<br />
|<br />
|<br />
|<br />
|-<br />
|January 29<br />
|<br />
|<br />
|<br />
|-<br />
|February 5<br />
|<br />
|<br />
|<br />
|-<br />
|February 12<br />
|<br />
|<br />
|<br />
|-<br />
|February 19<br />
|<br />
|<br />
|<br />
|-<br />
|February 26<br />
|<br />
|<br />
|<br />
|-<br />
|March 5<br />
|<br />
|<br />
|<br />
|-<br />
|March 12<br />
|<br />
|<br />
|<br />
|-<br />
|March 19<br />
|<br />
|<br />
|<br />
|-<br />
|Spring Break<br />
|<br />
|<br />
|<br />
|-<br />
|April 2<br />
|<br />
|<br />
|<br />
|-<br />
|April 9<br />
|<br />
|<br />
|<br />
|-<br />
|April 16<br />
|<br />
|<br />
|<br />
|-<br />
|April 23<br />
|<br />
|<br />
|<br />
|-<br />
|April 30<br />
|<br />
|<br />
|<br />
|-<br />
|May 7<br />
|<br />
|<br />
|<br />
|-<br />
|}<br />
<br />
== Spring Abstracts ==</div>Bostonhttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=4519Algebra2012-10-09T22:13:34Z<p>Boston: </p>
<hr />
<div>== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
Dima Arinkin: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)<br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. <br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2005) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Combinatorics, representation theory and special functions. <br />
<br />
[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.--><br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups<br />
<br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/webcalendar/month.php?user=alg_geom Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<br />
Lie Theory Seminar (Mondays at 1:20 in VV901)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
Midwest Algebraic Geometry Conference for Graduate Students -- watch this space!<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 21-23 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), and UT-Austin, to tenure-track jobs at McGill, Wake Forest, Bucknell, the University of New Mexico, and the University of South Carolina, and to non-academic positions at places such as Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Richard Askey <br />
John Bascom Professor, Ph.D Princeton (1961) <br />
Research: Special Functions<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
Hiroshi Gunji <br />
Professor, Ph.D. Johns Hopkins University (1962) <br />
Research: Algebraic geometry<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
Arnold Johnson <br />
Professor, Ph.D. University of Notre Dame (1965) <br />
Research: Classical Groups<br />
<br />
Lawrence Levy <br />
Professor, Ph.D. University of Illinois at Urbana-Champaign (1961) <br />
Research: Commutative and noncommutative ring theory<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Hans Schneider <br />
J. J. Sylvester Professor of Mathematics, Ph.D. University of Edinburgh (1952) <br />
Research: Linear algebra and matrix theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Bostonhttps://wiki.math.wisc.edu/index.php?title=Group_Theory_Seminar&diff=4513Group Theory Seminar2012-10-09T01:52:05Z<p>Boston: </p>
<hr />
<div>The Group Theory Seminar meets in room B129 of Van Vleck Hall on Tuesdays at 4pm.<br />
<br><br />
For more information, contact [http://www.math.wisc.edu/~boston/ Nigel Boston].<br />
<br />
<br />
== Fall 2012==<br />
<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|September 4<br />
|<br />
|<br />
|<br />
|-<br />
|September 11<br />
|<br />
|<br />
|<br />
|-<br />
|September 18<br />
|<br />
|<br />
|<br />
|-<br />
|September 25<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, I.'']]<br />
|local<br />
|-<br />
|October 2<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, II.'']]<br />
|local<br />
|-<br />
|October 9<br />
|[http://www.math.wisc.edu/~passman/ Don Passman] (Wisconsin)<br />
|[[#Don Passman|<br />
''Group Rings, III.'']]<br />
|local<br />
|-<br />
|October 16<br />
|<br />
|<br />
|<br />
|-<br />
|October 23<br />
|<br />
|<br />
|<br />
|-<br />
|October 30<br />
|<br />
|<br />
|<br />
|-<br />
|November 6<br />
|<br />
|<br />
|<br />
|-<br />
|November 13<br />
|<br />
|<br />
|<br />
|-<br />
| November 20 (week of Thanksgiving)<br />
|<br />
|<br />
|<br />
|-<br />
|November 27<br />
|<br />
|<br />
|<br />
|-<br />
|December 4<br />
|<br />
|<br />
|<br />
|-<br />
|December 11<br />
|<br />
|<br />
|<br />
|-<br />
|}<br />
<br />
== Fall Abstracts ==<br />
<br />
===Don Passman===<br />
''Group Rings''<br />
<br />
These three talks will be an introduction to group rings.<br />
<br />
== Spring 2013 ==<br />
<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|January 22<br />
|<br />
|<br />
|<br />
|-<br />
|January 29<br />
|<br />
|<br />
|<br />
|-<br />
|February 5<br />
|<br />
|<br />
|<br />
|-<br />
|February 12<br />
|<br />
|<br />
|<br />
|-<br />
|February 19<br />
|<br />
|<br />
|<br />
|-<br />
|February 26<br />
|<br />
|<br />
|<br />
|-<br />
|March 5<br />
|<br />
|<br />
|<br />
|-<br />
|March 12<br />
|<br />
|<br />
|<br />
|-<br />
|March 19<br />
|<br />
|<br />
|<br />
|-<br />
|Spring Break<br />
|<br />
|<br />
|<br />
|-<br />
|April 2<br />
|<br />
|<br />
|<br />
|-<br />
|April 9<br />
|<br />
|<br />
|<br />
|-<br />
|April 16<br />
|<br />
|<br />
|<br />
|-<br />
|April 23<br />
|<br />
|<br />
|<br />
|-<br />
|April 30<br />
|<br />
|<br />
|<br />
|-<br />
|May 7<br />
|<br />
|<br />
|<br />
|-<br />
|}<br />
<br />
== Spring Abstracts ==</div>Bostonhttps://wiki.math.wisc.edu/index.php?title=NTS_Fall_2011/Abstracts&diff=2603NTS Fall 2011/Abstracts2011-09-13T18:46:36Z<p>Boston: /* September 29 */</p>
<hr />
<div>== September 8 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Alexander Fish''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Solvability of Diophantine equations within dynamically defined subsets of N<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Given a dynamical system, i.e. a compact metric space X, a homeomorphism T (or just a continuous map) and a Borel probability measure on X which is preserved under the action of T, the dynamically defined subset associated to a point x in X and an open set U in X is {n | T^n(x) is in U} which we call the set of return times of x in U. We study combinatorial properties of sets of return times for certain types of dynamical systems for generic points x in X. Among examples of such sets are normal sets which correspond to the system X = [0,1], T(x) = 2x mod 1, Lebesgue measure, U = [0, 1/2].<br />
We give a complete classification of linear Diophantine systems solvable within every normal set. The methods combine the probabilistic method together with the use of van der Corput's lemma. At the end of the talk we will discuss open problems<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 15 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Chung Pang Mok''' (McMaster)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Galois representation associated to cusp forms on GL<sub>2</sub> over CM fields<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: We generalize the work of Harris–Soudry–Taylor, and constructs<br />
the compatible system of 2-dimensional ''p''-adic Galois representations<br />
associated to a cuspidal automorphic representation of cohomological type<br />
on GL<sub>2</sub> over a CM field, whose central character satisfies an invariance<br />
condition. A local-global compatibility statement, up to<br />
semi-simplification, can also be proved in this setting. This work relies<br />
crucially on Arthur's results on lifting from the group GSp<sub>4</sub> to GL<sub>4</sub>.<br />
<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 22 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yifeng Liu''' (Columbia)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Arithmetic inner product formula<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will introduce an arithmetic version of the classical Rallis' inner product<br />
for unitary groups, which generalizes the previous work by Kudla, Kudla–Rapoport–Yang and<br />
Bruinier–Yang. The arithmetic inner product formula, which is still a conjecture for<br />
higher rank, relates the canonical height of special cycles on certain Shimura varieties<br />
and the central derivatives of ''L''-functions.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 29 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Nigel Boston''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Non-abelian Cohen-Lenstra heuristics.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: In 1983, Cohen and Lenstra observed that the frequency with which a given abelian p-group A (p odd) arises as the p-class<br />
group of an imaginary quadratic field K is apparently proportional to 1/|Aut(A)|. The Galois group of the maximal<br />
unramified p-extension of K has abelianization A and one might then ask how frequently a given p-group G arises. We<br />
develop a theory wherein this frequency is inversely proportional to the size of its automorphism group in a new category<br />
and then test this against computations. If time permits, I shall describe progress on the real quadratic case. This is<br />
joint work with Michael Bush and Farshid Hajir.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 6 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Zhiwei Yun''' (MIT)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 13 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Melanie Matchett Wood''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The probability that a curve over a finite field is smooth<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
<br />
Abstract: Given a fixed variety over a finite field, we ask what<br />
proportion of hypersurfaces (effective divisors) are smooth. Poonen's<br />
work on Bertini theorems over finite fields answers this question when<br />
one considers effective divisors linearly equivalent to a multiple of<br />
a fixed ample divisor, which corresponds to choosing an ample ray<br />
through the origin in the Picard group of the variety. In this case<br />
the probability of smoothness is predicted by a simple heuristic<br />
assuming smoothness is independent at different points in the ambient<br />
space. In joint work with Erman, we consider this question for<br />
effective divisors along nef rays in certain surfaces. Here the<br />
simple heuristic of independence fails, but the answer can still be<br />
determined and follows from a richer heuristic that predicts at<br />
which points smoothness is independent and at which<br />
points it is dependent.<br />
<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 20 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Jie Ling''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 3 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Zev Klagsburn''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 10 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Luanlei Zhao''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 17 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Robert Harron''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 1 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Andrei Calderaru''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 8 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Xinwen Zhu''' (Harvard)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 15 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Shamgar Gurevich''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Quadratic reciprocity and the sign of the Gauss sum via the finite Weil representation<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Organizer contact information ==<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich]<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Zev Klagsbrun<br />
<br />
[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood]<br />
<br><br />
<br />
<br />
<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Bostonhttps://wiki.math.wisc.edu/index.php?title=NTS_Fall_2011/Abstracts&diff=2602NTS Fall 2011/Abstracts2011-09-13T18:46:06Z<p>Boston: /* September 29 */</p>
<hr />
<div>== September 8 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Alexander Fish''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Solvability of Diophantine equations within dynamically defined subsets of N<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: Given a dynamical system, i.e. a compact metric space X, a homeomorphism T (or just a continuous map) and a Borel probability measure on X which is preserved under the action of T, the dynamically defined subset associated to a point x in X and an open set U in X is {n | T^n(x) is in U} which we call the set of return times of x in U. We study combinatorial properties of sets of return times for certain types of dynamical systems for generic points x in X. Among examples of such sets are normal sets which correspond to the system X = [0,1], T(x) = 2x mod 1, Lebesgue measure, U = [0, 1/2].<br />
We give a complete classification of linear Diophantine systems solvable within every normal set. The methods combine the probabilistic method together with the use of van der Corput's lemma. At the end of the talk we will discuss open problems<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 15 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Chung Pang Mok''' (McMaster)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Galois representation associated to cusp forms on GL<sub>2</sub> over CM fields<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: We generalize the work of Harris–Soudry–Taylor, and constructs<br />
the compatible system of 2-dimensional ''p''-adic Galois representations<br />
associated to a cuspidal automorphic representation of cohomological type<br />
on GL<sub>2</sub> over a CM field, whose central character satisfies an invariance<br />
condition. A local-global compatibility statement, up to<br />
semi-simplification, can also be proved in this setting. This work relies<br />
crucially on Arthur's results on lifting from the group GSp<sub>4</sub> to GL<sub>4</sub>.<br />
<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 22 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Yifeng Liu''' (Columbia)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Arithmetic inner product formula<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: I will introduce an arithmetic version of the classical Rallis' inner product<br />
for unitary groups, which generalizes the previous work by Kudla, Kudla–Rapoport–Yang and<br />
Bruinier–Yang. The arithmetic inner product formula, which is still a conjecture for<br />
higher rank, relates the canonical height of special cycles on certain Shimura varieties<br />
and the central derivatives of ''L''-functions.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== September 29 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Nigel Boston''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Non-abelian Cohen-Lenstra heuristics.<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: In 1983, Cohen and Lenstra observed that the frequency with which a given abelian p-group A (p odd) arises as the p-class<br />
group of an imaginary quadratic fi�eld K is apparently proportional to 1/|Aut(A)|. The Galois group of the maximal<br />
unrami�fied p-extension of K has abelianization A and one might then ask how frequently a given p-group G arises. We<br />
develop a theory wherein this frequency is inversely proportional to the size of its automorphism group in a new category<br />
and then test this against computations. If time permits, I shall describe progress on the real quadratic case. This is<br />
joint work with Michael Bush and Farshid Hajir.<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 6 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Zhiwei Yun''' (MIT)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 13 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Melanie Matchett Wood''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: The probability that a curve over a finite field is smooth<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
<br />
Abstract: Given a fixed variety over a finite field, we ask what<br />
proportion of hypersurfaces (effective divisors) are smooth. Poonen's<br />
work on Bertini theorems over finite fields answers this question when<br />
one considers effective divisors linearly equivalent to a multiple of<br />
a fixed ample divisor, which corresponds to choosing an ample ray<br />
through the origin in the Picard group of the variety. In this case<br />
the probability of smoothness is predicted by a simple heuristic<br />
assuming smoothness is independent at different points in the ambient<br />
space. In joint work with Erman, we consider this question for<br />
effective divisors along nef rays in certain surfaces. Here the<br />
simple heuristic of independence fails, but the answer can still be<br />
determined and follows from a richer heuristic that predicts at<br />
which points smoothness is independent and at which<br />
points it is dependent.<br />
<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== October 20 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Jie Ling''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 3 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Zev Klagsburn''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 10 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Luanlei Zhao''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== November 17 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Robert Harron''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 1 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Andrei Calderaru''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 8 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Xinwen Zhu''' (Harvard)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: tba<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== December 15 ==<br />
<br />
<center><br />
{| style="color:black; font-size:100%" table border="2" cellpadding="10" width="700" cellspacing="20"<br />
|-<br />
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Shamgar Gurevich''' (Madison)<br />
|-<br />
| bgcolor="#BCD2EE" align="center" | Title: Quadratic reciprocity and the sign of the Gauss sum via the finite Weil representation<br />
|-<br />
| bgcolor="#BCD2EE" | <br />
Abstract: tba<br />
<br />
|} <br />
</center><br />
<br />
<br><br />
<br />
== Organizer contact information ==<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich]<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Zev Klagsbrun<br />
<br />
[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood]<br />
<br><br />
<br />
<br />
<br />
----<br />
Return to the [[NTS|Number Theory Seminar Page]]<br />
<br />
Return to the [[Algebra|Algebra Group Page]]</div>Bostonhttps://wiki.math.wisc.edu/index.php?title=NTS_Fall_2011&diff=2601NTS Fall 20112011-09-13T18:44:07Z<p>Boston: /* Fall 2011 Semester */</p>
<hr />
<div>= Number Theory – Representation Theory Seminar, University of Wisconsin–Madison =<br />
<br />
<br />
*'''When:''' Thursdays at 2:30pm.<br />
*'''Where:''' Van Vleck Hall B203<br />
*Please join the [https://mailhost.math.wisc.edu/mailman/listinfo/nts NT/RT mailing list:]. <br />
<br />
<br />
<br />
== Fall 2011 Semester ==<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="0" cellpadding="14" cellspacing="5"<br />
|-<br />
| bgcolor="#D0D0D0" width="300" align="center"|'''Date'''<br />
| bgcolor="#F0A0A0" width="300" align="center"|'''Speaker'''<br />
| bgcolor="#BCD2EE" width="300" align="center"|'''Title (click to see abstract)'''<br />
|-<br />
| bgcolor="#E0E0E0"| September 8 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~afish/ Alexander Fish] <br> (Madison)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2011/Abstracts#September 8 | <font color="black"><em>Solvability of Diophantine equations within dynamically defined subsets of N</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 15 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.cuhk.edu.hk/~cpmok/ Chung Pang Mok] <br> (McMaster)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2011/Abstracts#September 15 | <font color="black"><em> Galois representation associated to cusp forms on GL(2) over CM fields</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 22 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.columbia.edu/~liuyf/ Yifeng Liu] <br> (Columbia U.)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2011/Abstracts#September 22 | <font color="black"><em>Arithmetic inner product formula</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| September 29 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~boston/ Nigel Boston] <br> (Madison)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2011/Abstracts#September 29 | <font color="black"><em>Non-abelian Cohen-Lenstra heuristics</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| October 6 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.mit.edu/~zyun/ Zhiwei Yun] <br> (MIT)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2011/Abstracts#October 6 | <font color="black"><em>Problem and Solution</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| October 13 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://math.stanford.edu/~mwood/ Melanie Matchett Wood] <br> (Madison)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2011/Abstracts#October 13 | <font color="black"><em>The probability that a curve over a finite field is smooth</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| October 20 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~ling/ Jie Ling] <br> (UW-Madison)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2011/Abstracts#October 20 | <font color="black"><em>Problem and Solution</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| October 27 (Thurs.)<br />
| bgcolor="#F0B0B0"|[http://www.technion.ac.il/~neftind/ Danny Neftin] <br> (Michigan)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2011/Abstracts | <font color="black"><em>Problem and Solution</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| November 3 (Thurs.)<br />
| bgcolor="#F0B0B0"| Zev Klagsbrun <br> (Madison)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2011/Abstracts#November 3 | <font color="black"><em>Problem and Solution</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| November 10 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~apache/gallery/grad.html Luanlei Zhao] <br> (UW-Madison)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2011/Abstracts#November 10 | <font color="black"><em>Problem and Solution</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| November 17 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~rharron/ Robert Harron] <br> (Madison)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2011/Abstracts#November 17 | <font color="black"><em>Problem and Solution</em></font>]]<br />
|-<br />
| bgcolor="#E0E0E0"| November 24 (Thurs.)<br />
| bgcolor="#F0B0B0"| No seminar <br> (Thanksgiving)<br />
| bgcolor="#BCE2FE"| <font color="black"><em>Thanksgiving</em></font><br />
|-<br />
| bgcolor="#E0E0E0"| December 1 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~andreic/ Andrei Calderaru] <br> (Madison)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2011/Abstracts#December 1 | <font color="black"><em>Problem and Solution</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| December 8 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.harvard.edu/~xinwenz/ Xinwen Zhu] <br> (Harvard)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2011/Abstracts#December 8 | <font color="black"><em>Problem and Solution</em></font>]]<br />
|- <br />
| bgcolor="#E0E0E0"| December 15 (Thurs.)<br />
| bgcolor="#F0B0B0"| [http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich] <br> (Madison)<br />
| bgcolor="#BCE2FE"|[[NTS Fall 2011/Abstracts#December 15 | <font color="black"><em> Quadratic reciprocity and the sign of the Gauss sum via the finite Weil representation </em></font>]]<br />
|}<br />
<br />
</center><br />
<br />
<br><br />
<br />
== Spring 2012 Semester ==<br />
<br />
:''The Spring 2012 seminar page is [[NTS Spring 2012|here]].''<br />
<br />
== Organizer contact information ==<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich]<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron]<br />
<br />
Zev Klagsbrun<br />
<br />
[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood]<br />
<br />
<br />
<br />
----<br />
Also of interest is the [[NTSGrad Fall 2011|Grad student seminar]] which meets on Tuesdays.<br><br />
Next semester's seminar page is [[NTS Spring 2012|here]].<br />
Last semester's seminar page is [[NTS spring 2011|here]].<br />
----<br />
Return to the [[Algebra|Algebra Group Page]]</div>Bostonhttps://wiki.math.wisc.edu/index.php?title=High_School_Math_Night&diff=1936High School Math Night2011-04-16T00:18:45Z<p>Boston: </p>
<hr />
<div>=What is it?=<br />
The UW-Madison math department organizes a series of talks aimed at high school students throughout the semester. Our goal is to present fun talks that give students a taste of interesting ideas in math and science. In the past we've had talks about plasma and weather in outer space, the way images are shaded in video games, and how credit card numbers are securely transmitted over the internet. <br />
<br />
'''Important:''' After each talk we'll have '''pizza''' provided by the department, and students will have an opportunity to mingle and chat with the speaker to ask questions about college, careers in science, etc.<br />
<br />
=Alright, I want to come!=<br />
Great! If you're a high school teacher, we hope you'll tell your students about these talks and organize a car pool to the UW (all talks take place in Van Vleck Hall on the UW campus). '''We'd also appreciate if you [mailto:math-night@math.wisc.edu email] us the dates that your group will be attending''', so we can purchase the appropriate amount of pizza.<br />
<br />
If you're a high school student, speak with your high school teacher about organizing a car pool to the math night (and tell us how many people are coming!)<br />
<br />
=Questions?=<br />
If you have any questions, suggestions for topics, or so on, just email the Math Night organizers: [mailto:math-night@math.wisc.edu math-night@math.wisc.edu].<br />
<br />
==Talks this semester==<br />
More details about each talk to follow. All talks are at 7pm in Van Vleck Hall B231.<br />
<br />
<center><br />
<br />
{| style="color:black; font-size:120%" border="1" cellpadding="14" cellspacing="0"<br />
|-<br />
! Date !! Speaker !! Talk (click for more info)<br />
|-<br />
| February 17th, 2011 '''still being held''' || Andrew Bridy || [[#Cryptography|Cryptography]]<br />
|-<br />
| March 10th, 2011 || Ed Dewey || [[#The 0.5th Dimension|The 0.5th Dimension]]<br />
|-<br />
| March 24th, 2011 || Lalit Jain || [[#Cutting & Pasting|Cutting & Pasting]]<br />
|-<br />
| April 7th, 2011 || Balazs Strenner || [[#Tilings|Tilings]]<br />
|-<br />
| April 28th, 2011 || Prof. Nigel Boston || [[#Face Recognition|Face Recognition]]<br />
|}<br />
<br />
</center><br />
----<br />
===Cryptography===<br />
<span style="background:#00FF00">February 17th, 2011</span> '''Update 2/16/11: still being held'''<br />
<br />
'''The science of code making and code breaking'''<br />
<br />
Sending information securely over the internet is an enormous practical problem. How can you be sure that no one is reading your email, or worse, stealing your credit card number when you buy something online? Cryptography is the art of encoding a message so it looks like a string of random letters or numbers, and decoding it on the other side to get the original message back. In this talk I'll show you some simple ways you can use math to encode and decode information, and how the same techniques can be used to attack codes and try to break them. The branch of math used is called number theory, and the problems that come up are very simple to state and very hard to solve, leading right to current research that mathematicians are working on today.<br />
<br />
====Speaker: [http://www.math.wisc.edu/~bridy Andrew Bridy]====<br />
Andrew is a third year math Ph. D. student studying algebra and computer science. Before coming to graduate school, he taught high school math for a year and was deployed with the Peace Corps to Honduras. Andrew is an avid video game fan - you should ask him to tell you about his favorite PC video games of the late 1990's.<br />
----<br />
===The 0.5th Dimension===<br />
<span style="background:#00FF00">March 10th, 2011</span><br />
<br />
'''A Harrowing Journey to the 0.5th Dimension'''<br />
<br />
We frequently think about two dimensional spaces, like a map of a country, or three dimensional spaces, like the Holodeck from Star Trek. But what exactly is "dimension", anyway? This turns out to be a surprisingly deep question, without a unique answer. But asking it is still useful, and leads us to the strange and beautiful notion of Hassdorf dimension, one of the fndamentals of fractal geometry, which gives a meaning to non-integer dimensions. We will discuss Haussdorf dimension and its motivation, and see an application to psychology. <br />
<br />
====Speaker: [http://www.math.wisc.edu/~dewey Ed Dewey]====<br />
Ed is a first year Ph. D. student in mathematics. He used to be in a ska band. <br />
<br />
----<br />
===Cutting & Pasting===<br />
<span style="background:#00FF00">March 24th, 2011</span><br />
<br />
<br />
The Bolyai-Gerwein theorem says that any two polygons of the same area have an "equi-dissection". In other words, there is a way to cut up one of the polygons into pieces (using straight line cuts) that can be rearranged to form the other. This deep theorem is surprisingly recent compared to much of classical geometry and has many interesting generalizations. During this weeks talk we will prove the theorem as a group using little more then argument by "scissors and glue."<br />
<br />
Here are some fun applets to see this in action:<br />
<br />
http://demonstrations.wolfram.com/AnExampleOfTheBolyaiGerwienTheorem/<br />
<br />
http://www.cut-the-knot.org/Curriculum/Geometry/TwoRectangles.shtml<br />
<br />
<br />
An example of dissecting a square into pieces that form a triangle of the same area.<br />
[[Image:TriangleSquare.jpg|200px]]<br />
<br />
<br />
====Speaker: [http://www.math.wisc.edu/~jain Lalit Jain]====<br />
Lalit is a first year Ph. D. student in mathematics interested in number theory and computer science. Before coming to graduate school, Lalit was a high school math teacher with [http://en.wikipedia.org/wiki/Teach_for_america Teach For America] in San Francisco. You should ask Lalit about who shot Frances in the video game Left 4 Dead.<br />
----<br />
<br />
===Tilings===<br />
<span style="background:#00FF00">April 7th, 2011</span><br />
<br />
'''Tilings'''<br />
<br />
Tilings in the mathematical sense mean non-overlapping, gap-free coverings of the plane by certain shapes. For instance, one can take (infinitely many) squares and place them on the infinite plane as they are on a chessboard, nicely fitting next to each other. This is maybe the simplest example. But if one takes regular pentagons, it is impossible to form a tiling using only them.<br />
<br />
The first class of interesting tilings we will discuss are the Penrose tilings. These involve two different shapes, the "kite" and the "dart". Not only it is fun to play with them and to try to make different arrangements, but these tilings have really interesting mathematical properties. Just to mention one of these: the ratio of the number of kites and darts - which I'll make precise - in all the possible arrangements is always the same, and it is the golden ratio!<br />
<br />
Tilings have an artistic nature as well. The Dutch graphic artist M. C. Escher is famous for his math-connected drawings, and in fact many of these are tilings with funny shapes, birds for example. Another series of masterpieces by him are the woodcuts Circle Limit I-IV which picture hyperbolic tilings of the disk using funny graphics again. We will talk about their mathematical background, and also about how to write a program that makes a hyperbolic tiling out of an arbitrary image file.<br />
<br />
[[Image:LW434.jpg]]<br />
[[Image:LW361A.jpg]]<br />
[[Image:kite and dart.gif]]<br />
<br />
<br />
====Speaker: [http://www.math.wisc.edu/~strenner/balazs/Home.html Balazs Strenner]====<br />
Balazs is a first year PhD student originally from Hungary, land of [http://en.wikipedia.org/wiki/Paul_Erd%C5%91s many] [http://en.wikipedia.org/wiki/Leo_Szilard fantastic] [http://en.wikipedia.org/wiki/John_von_Neumann mathematicians and scientists]. Balazs is quite merciless as the Deputy Sheriff in the card game [http://en.wikipedia.org/wiki/Bang! Bang!]<br />
<br />
----<br />
<br />
===Face Recognition===<br />
<span style="background:#00FF00">April 28th, 2011</span><br />
<br />
'''Invariant-Based Face Recognition'''<br />
<br />
I shall describe the main difficulties with automated face recognition and how our team of mathematicians, engineers, and computer scientists overcame some of them by using mathematical invariants. <br />
<br />
What are invariants? Invariants are features that do not change under 3D rotation and translation. An example is the curvatures at the tip of the nose. These curvatures do not change, regardless of what angle you look at the face from. The problem though in practice is that curvatures are very sensitive to small changes in the measurements used to compute them, so that simply rounding of the measurements can lead to very different, not invariant numbers. <br />
<br />
For this reason, invariants have been rejected in the past for recognizing faces because they were not robust to measurement error, and so we decided to come up with a new family of robust invariants. I shall report how our implementation of this won us 2nd place in the 3D section of the national Face Recognition Grand Challenge.<br />
<br />
====Speaker: [http://www.math.wisc.edu/~boston Professor Nigel Boston]====<br />
Nigel Boston is a Professor in the Departments of Mathematics and Electrical & Computer Engineering at UW-Madison. Nigel works in many interesting areas, including applying research from algebra and number theory to real world problems in engineering.</div>Bostonhttps://wiki.math.wisc.edu/index.php?title=Research_at_UW-Madison_in_Algebra&diff=326Research at UW-Madison in Algebra2010-07-27T15:20:42Z<p>Boston: /* Research at UW-Madison in algebra */</p>
<hr />
<div>== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)<br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) (arrives Fall 2011) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. <br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.ias.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2005) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
I. Martin Isaacs: (Harvard, 1964) Group theory, algebra.<br />
<br />
[http://www.math.wisc.edu/~ono/ Ken Ono]: (UCLA, 1993) (on leave 2010-11) Combinatorics and number theory involving elliptic curves, L-functions, modular forms, Maass forms, and partitions. <br />
<br />
[http://www.math.wisc.edu/~passman/ Donald Passman:] (Harvard, 1964) Ring theory, group theory, group rings and enveloping algebras of Lie algebras.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Combinatorics, representation theory and special functions. <br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<br />
[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.mcgill.ca/bcais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias. <br />
<br />
[http://www.math.wisc.edu/~mehrotra/ Sukhendu Mehrotra:] (Penn, 2005) Algebraic geometry, homological algebra and string theory,<br />
specifically, derived categories of coherent sheaves on algebraic varieties.<br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/webcalendar/month.php?user=alg_geom Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<br />
[http://www.math.wisc.edu/~passman/seminars.html Group Theory Seminar] (Mondays at 3:30)<br />
<br />
[http://www.math.wisc.edu/~masri/Spring2010a.html Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/~masri/Spring2010a.html Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
Graduate student conference in algebraic geometry, Fall 2010<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Imperial (UK), MIT, Princeton, Stanford, and UT-Austin, to tenure-track jobs at McGill, Wake Forest, Bucknell, the University of New Mexico, and the University of South Carolina, and to non-academic positions at places such as Credit Suisse and the Center for Communications Research, La Jolla.</div>Bostonhttps://wiki.math.wisc.edu/index.php?title=Research_at_UW-Madison_in_Algebra&diff=325Research at UW-Madison in Algebra2010-07-27T15:16:48Z<p>Boston: /* Research at UW-Madison in algebra */</p>
<hr />
<div>== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)<br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) (arrives Fall 2011) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. <br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.ias.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2005) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
I. Martin Isaacs: (Harvard, 1964) Group theory, algebra.<br />
<br />
[http://www.math.wisc.edu/~ono/ Ken Ono]: (UCLA, 1993) (on leave 2010-11) Combinatorics and number theory involving elliptic curves, L-functions, modular forms, Maass forms, and partitions. <br />
<br />
[http://www.math.wisc.edu/~passman/ Donald Passman:] (Harvard, 1964) Ring theory, group theory, group rings and enveloping algebras of Lie algebras.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Combinatorics, representation theory and special functions. <br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<br />
[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.mcgill.ca/bcais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias. <br />
<br />
[http://www.math.wisc.edu/~mehrotra/ Sukhendu Mehrotra:] (Penn, 2005) Algebraic geometry, homological algebra and string theory,<br />
specifically, derived categories of coherent sheaves on algebraic varieties.<br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/webcalendar/month.php?user=alg_geom Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<br />
[http://www.math.wisc.edu/~passman/seminars.html Group Theory Seminar] (Mondays at 3:30)<br />
<br />
[http://www.math.wisc.edu/~masri/Spring2010a.html Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/~masri/Spring2010a.html Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
Graduate student conference in algebraic geometry, Fall 2010<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Imperial (UK), MIT, Princeton, Stanford, MIT, and UT-Austin, to tenure-track jobs at McGill, Wake Forest, Bucknell, and the University of South Carolina, and to non-academic positions at places such as Credit Suisse and the Center for Communications Research, La Jolla.</div>Boston