Core Faculty

The following core faculty members have active research interests in pure mathematics and teach most program courses.

Amod Agashe

Number Theory

Arithmetic algebraic geometry, applications of elliptic curves in cryptography.

Amod Agashe
Ettore Aldrovandi

Algebraic Geometry, Homotopy Theory

K-Theory, intersection theory, category theory, mathematical physics.

Ettore Aldrovandi
Paolo Aluffi

Algebraic Geometry

Algebraic geometry, intersection theory, singularities, mathematical physics.

Paolo Aluffi
Sam Ballas

Geometric Topology

Low Dimensional Topology/Geometry, Projective Geometry.

Sam Ballas
Martin Bauer

Geometry

Infinte Dimensional Riemannin Geometry, Shape Analysis, Manifolds of Mappings, Geometric Mechanics, Medical Imaging.

Martin Bauer
Phil Bowers

Geometric Topology

Geometric Group Theory, Conformal Geometry.

Phil Bowers
Sergio Fenley

Geometric Topology, Dynamical Systems

Foliations, flows and laminations in 3-manifolds; Large scale geometry.

Sergio Fenley
Tyler Foster

Algebraic Geometry

Archimedean geometry, Tropical and Birational Geometry of algebraic varieties.

Tyler Foster
Wolfgang Heil

Geometric Topology

Topology of 3-manifolds, group actions, A-category classification.

Wolfgang Heil
Mark van Hoeij

Algebraic Geometry, Computational Algebra

Computer algebra and algorithms to solve differential equations, computations with algebraic curves.

Mark van Hoeij
Kyounghee Kim

Dynamical Systems

Automorphisms of complex projective varieties.

Kyounghee Kim
Eric Klassen

Differential Topology

Applications of differential topology in computer vision and pattern recognition.

Eric Klassen
Craig Nolder

Complex Analysis

Quasiconformal mappings, Dirac and Clifford analysis, financial mathematics.

Craig Nolder
Richard Oberlin

Analysis

Harmonic Analysis, specifically generalized Radon transforms and time-frequency analysis.

Richard Oberlin
Kathleen Petersen

Geometric Topology, Number Theory

Character varieties, arithmetic orbifolds, congruence subgroups, Artin's primitive root conjecture.

Kathleen Petersen
Alexander Reznikov

Analysis

Harmonic Analysis, Complex Analysis, Potential Theory.

Alexander Reznikov