# People

Faculty

Sigurd AngenentProfessor University of Leiden, 1986 angenent at math dot wisc dot edu Research Interests: nonlinear partial differential equations, geometric analysis, mathematics in biology Research Description: My recent research has been on classifying Ancient Solutions and finding soliton solutions to Ricci flow and Mean Curvature flow.Â I am also interested in mathematical modeling of systems in cell biology. |

Sergey DenisovProfessor Moscow State University, 1999 denissov at math dot wisc dot edu Research Interests: Analysis, Mathematical Physics Research Description: I work on problems in approximation theory,Â complex and harmonic analysis, and spectral theory. I also study mathematical theory of fluidsÂ and wave propagation. |

Mikhail FeldmanProfessor UC Berkeley, 1994 feldman@math.wisc.edu Research Interests: Nonlinear PDEs Research Description: I am interested in nonlinear PDE and free boundary problems. My recent research include study of shock reflection in gas dynamics, which involves study of free boundary problems for nonlinear degenerate-elliptic equations. I also work on semigestrophic system of PDE, which models atmospheric flows, and this work involves methods related to Monge-Kantorovich mass transport theory. |

Xianghong GongProfessor gong {at} math {dot} wisc {dot} edu Research Description: My research is in several complex variables and dynamical systems. I have worked on normal formsÂ of real submanifolds in C^n. I am interested in derivative estimates for solutions of the d-bar equationÂ on domains whose boundaries have minimum smoothness.Â My recent research includes using d-bar solution operatorsÂ to study the stability of deformations of complex structures on a domain. |

Shaoming GuoAssistant Professor University of Bonn 2015 shaomingguo {at} math {dot} wisc {dot} edu Research Interests: Harmonic Analysis Research Description: My research is in harmonic analysis and its connections to analytic number theory and geometric measure theory. Â |

Mihaela Ifrim Associate Professor UC Davis 2012 ifrim {at} math {dot} wisc {dot} edu Research Interests: Nonlinear PDEs, Dispersive Equations, Fluid Dynamics Research Description: Mihaela's research is in partial differential equations, more precisely she is interested in nonlinear hyperbolic PDEâ€™s with an emphasis on fluid dynamics. Over the years her mathematical interests have broadened, extending in many directions, from incompressible to compressible flowsÂ within fluid dynamics, but also from fluids to other nonlinear dispersive hyperbolic models. Â Her recent work has roughly been following two threads (i) the analysis of the two-dimensional water wave equations, which govern the evolution of a free fluid surface, or of the interface betweenÂ two fluids, and (ii) the analysis of freeÂ boundary problems for several compressible Euler type flows. In addition to these two main research directions, Mihaela's research interests have also extended to theÂ field of nonlinear wave equations, which ties directly to very interesting projects related to in General Relativity. Â |

Chanwoo KimAssociate Professor Brown University 2011 chanwoo.kim {at} math {dot} wisc {dot} edu Research Interests: Applied PDEs (kinetic theory, fluid dynamics) Research Description: I am interested in applied PDEs in the fields of kinetic theory and related areas.Â My recent research include study of hydrodynamic limit from the Boltzmann equation toward various fluid models. Â I also work on long time behavior of the Vlasov equation, which models plasma and galaxies. |

Simon MarshallAssociate Professor Princeton University, 2010 marshall {at} math {dot} wisc {dot} edu Research Interests: Automorphic forms, symmetric spaces Research Description: I study problems in the analytic theory of automorphic forms, and harmonic analysis on symmetric spaces. These include questions about counting the number of automorphicÂ forms in families, and understanding the asymptotic behaviour of eigenfunctions with large eigenvalue. |