# Full-Time Faculty

## Janusz Adamus

Associate Professor

**Research Interests / Specializations: **Local analytic geometry, singularities, local algebra

**Biography: **Ph.D., University of Toronto (2003)

## Tatyana Barron

Associate Professor

**Research Interests / Specializations: **Analysis on manifolds, complex geometry, symplectic geometry, automorphic forms, quantization

## Dan Christensen

Professor Associate Chair (Graduate)

**Research Interests / Specializations: ** Algebraic topology, homotopy type theory, derived categories, modular representation theory, mathematical physics, algebraic and scientific computation

**Biography: **Professor Ph.D. MIT 1997

## Graham Denham

Associate Professor

**Research Interests / Specializations: **Algebraic combinatorics; arrangements of hyperplanes and subspaces; configuration spaces; combinatorial aspects of rational homotopy theory

**Biography: **PhD at the University of Michigan in 1999

## Ajneet Dhillon

Associate Professor

**Research Interests / Specializations: **Algebraic geometry, algebraic stacks, moduli of bundles, essential dimension and derived categories. Currently I am studying derived categories of root stacks with a view to applications in arithmetic geometry.

## Matthias Franz

Associate Professor

**Research Interests / Specializations: **Transformation groups, toric topology, homological algebra, computer algebra

## Chris Hall

Associate Professor

**Research Interests / Specializations: **Number Theory, Arithmetic Geometry

## John Jardine

Professor, Chair

**Research Interests / Specializations: **Homotopy theory and its applications, algebraic geometry, category theory

## Chris Kapulkin

Assistant Professor

**Research Interests / Specializations: **Category Theory, Homotopy Theory, Homotopy Type Theory, Categorical Representation Theory, Cryptography

## Masoud Khalkali

Professor

**Research Interests / Specializations: **Noncommutative geometry, mathematical physics, noncommutative spectral geometry and geometric analysis, cyclic cohomology, operator algebras, quantum groups and Hopf algebras.

## Nicole Lemire

Associate Professor

**Research Interests / Specializations: ** Associate Professor Birational invariant theory, multiplicative invariants, algebraic groups, Galois cohomology, Lie theory, representation theory, lattices, essential dimension, vector bundles over curves

## Ján Mináč

Professor

**Research Interests / Specializations: **Class field theory, Galois cohomology, absolute Galois groups, group cohomology, motivic cohomology, anabelian geometry, Langlands program

## Vicki Olds

Assistant Professor

## Martin Pinsonnault

Associate Professor Ph.D. UQAM, 2002

**Research Interests / Specializations: **Symplectic geometry, Gromov-Witten invariants, Hamiltonian groups actions, low dimensional topology

**Teaching: **Metric Space Topology, Lie Groups

## Lex E. Renner

Professor

**Research Interests / Specializations: **Algebraic groups and monoids, related combinatorics. Algebraic transformation groups, invariant theory. Standard canonical form for linear transformations over DVRs.

**Biography: **Ph.D., University of British Columbia, 1982

## David Riley

Professor Associate Chair (Undergraduate), Faculty Scholar

**Research Interests / Specializations: **Associative algebra, Lie algebra, and group theory; the relationship between identities, gradings, and actions.

## Rasul Shafikov

Associate Professor

**Research Interests / Specializations: **Several complex variables: holomorphic mappings and CR geometry; polynomial and rational convexity and approximation theory; Levi-flat sets.

## Gordon Sinnamon

Professor

**Research Interests / Specializations: **Hardy inequalities, Fourier inequalities, function spaces, positive operators