Analysis Research Group
Analysis seminar meets Fridays 3–4 in Carnegie 300, unless stated otherwise. It is organized by Leonid Kovalev and Jani Onninen.
Professors
Dan Coman works in the field of several complex variables. His main interests include pluripotential theory and complex dynamics in higher dimensions.
Tadeusz Iwaniec is interested in harmonic analysis and partial differential equations. In particular, he is investigating quasiconformal mappings in n-dimensions and their association with nonlinear equations utilizing variational integrals similar to those arising in nonlinear elasticity.
Leonid Kovalev works in geometric mapping theory and related areas of analysis. He is particularly interested in quasiconformal mappings and geometric analysis on metric spaces.
Jani Onninen's area of specialization is Nonlinear Analysis and Geometric Function Theory.
Eugene Poletsky specializes in complex analysis and works mainly with functions of several complex variables. Among his subjects of interest are invariant metrics, plurisubharmonic functions and holomorphic currents.
Gregory Verchota studies singular integral operators applied to elliptic boundary value problems for linear equations and systems defined in nonsmooth domains. His recent work has led to new maximum principles for higher order equations.
Andrew Vogel works in partial differential equations and studies regions on which there are solutions to overdetermined boundary value problems.
William Wylie is interested in geometric analysis. In particular, these interests include geometric partial differential equations on manifolds, geometric flows, and analysis on metric spaces.
Postdocs, Visitors, PhD Students
Dayal Dharmasena is a student of Eugene Poletsky working in the field of several complex variables.
S. Zeynep Ozal is a student of Dan Coman working in the field of several complex variables.
Özcan Yazici is a student of Dan Coman working in the field of several complex variables.
Khim Shrestha is at an early stage of working under the supervision of Eugene Poletsky.
Thomas Stearns is at an early stage of working under the supervision of Leonid Kovalev.