Faculty Research Interests

	Kaan Akin PhD 1980 Brandeis University	Representation Theory of Linear Groups and Commutative Algebra
	John Albert PhD 1984 Chicago	Partial Differential Equations
	Boris Apanasov PhD 1976 USSR Academy of Sciences	Discrete Groups, Hyperbolic and Conformal Geometry, Differential Geometry
	Noel Brady PhD 1993 UC Berkeley	Geometric Group Theory
	Javier Alejandro Chávez-Domínguez PhD 2012 Texas A&M University	Banach Spaces, Nonlinear Functional Analysis and Operator Spaces.
	Roi Docampo PhD 2009 University of Illinois at Chicago	Algebraic Geometry
	Max Forester PhD 1999 University of Michigan	Geometric Group Theory, Low-Dimensional Topology
	Alexander Grigo PhD 2009 Georgia Institute of Technology	Dynamical systems, probability theory, ergodic theory, statistical mechanics
	Michael Jablonski PhD 2008 University of North Carolina	Riemannian geometry, geometry of homogeneous metrics, Einstein and Ricci soliton metrics
	Keri Kornelson PhD 2001 University of Colorado	Harmonic and functional analysis, particularly frames, wavelets, and iterated function systems
	Miroslav Kramar PhD 2009 Vrije Universiteit Amsterdam	Topological data analysis: computational algebraic topology, analysis of non-linear structures in high-dimensional data, manifold reconstruction, persistent homology. Non-linear dynamics: reconstruction of dynamics from data, pattern formation, Conley index theory, anomaly detection. Interdisciplinary research: dense granular media, turbulent flows, dynamics of silo deformation, protein structure and function, spreading processes on networks.
	Jonathan Kujawa PhD 2003 University of Oregon	Lie Theory, Representation Theory, Algebraic Combinatorics
	Lucy Lifschitz PhD 1998 Yale University	Algebraic Groups, Lie Groups and their Discrete Subgroups
	Justin Malestein PhD 2009 University of Chicago	Mapping Class Groups, Discrete Geometry, Low-Dimensional Topology, Geometric Group Theory
	Kimball Martin PhD 2004 CalTech	Number Theory, Automorphic Forms, Representation Theory
	Ricardo Mendes PhD 2011 University of Pennsylvania	Symmetry of Riemannian manifolds, in particular polar group actions; Non-negative sectional curvature and a variant called strongly non-negative curvature; Singular Riemannian foliations, especially in round spheres; Minimal surfaces
	Andy Miller PhD 1981 University of Connecticut	Geometric Topology, Low-Dimensional Topology
	Deborah Moore-Russo PhD 1995 Univeristy of Oklahoma	Research in Undergraduate Mathematics Education (especially, understanding of slope and vectors); Teacher Reflection; Digital Tools & Spaces in STEM learning communities; First-Year Mathematics Policies, Procedures, Supports, and Services.
	Greg Muller PhD 2010 Cornell University	Cluster Algebras, Combinatorics
	Murad Özaydin PhD 1984 Purdue University	Algebraic Topology, Combinatorics
	Nikola Petrov PhD 2002 University of Texas at Austin	Applications of Dynamical Systems, Differential Geometry and Analysis to Physics and Numerical Analysis
	Ameya Pitale PhD 2006 Ohio State University	Number Theory, Automorphic forms and Representations, Special Values and Integral Representations of L-functions, Siegel Modular Forms
	Tomasz Przebinda PhD 1987 Yale University	Representation Theory
	Christian Remling PhD 1996 Universität Osnabrück	Mathematical Physics, Spectral Theory, Harmonic Analysis
	Alan Roche PhD 1996 University of Chicago	Representation Theory of p-adic Groups
	Milos Savic PhD 2012 New Mexico State University	Math Education: investigating the teaching and learning of proof and proving
	Ralf Schmidt PhD 1998 Hamburg University	Number Theory, Automorphic Forms, Representation Theory
	Krishnan Shankar PhD 1999 University of Maryland	Riemannian Geometry, Group Actions on Non-Negatively Curved Manifolds
	Sepideh Stewart PhD 2008 University of Auckland	Research in Mathematics Education at University Level
	Jing Tao PhD 2009 University of Illinois at Chicago	Geometry
	Ying Wang PhD 2010 The Ohio State University	Scientific Computing, Mathematical Modeling, Applied Analysis, Hyperbolic Conservation Laws, Mathematical Biology, Image Processing, Computational Linear Algebra and Operations Research
	Shihshu Walter Wei PhD 1980 UC Berkeley	Differential Geometry, Partial Differential Equations
	Yilun (Allen) Wu PhD 2014 University of Michigan	Calculus of variations, bifurcation theory, nonlinear dispersive equations, inverse scattering transforms, with applications in fluid mechanics and stellar structure.
	Pengfei Zhang PhD 2011 University of Science and Technology of China	Smooth Ergodic Theory
	Meijun Zhu PhD 1996 Rutgers University	Partial Differential Equations, Calculus of Variations