Research Areas
The Department has active research in the following main domains. Click links below or to the left to find out more about a given domain, including faculty members and students involved, publications, etc.

Algebra and algebraic geometry

A. Clay studies geometric group theory and group actions on ordered sets. J. Chipalkatti's interests are in algebraic geometry, as well as classical invariant theory. S. Kirkland works in matrix theory and graph theory, with particular interest in the theory and applications of nonnegative matrices, combinatorial matrix theory, and spectral graph theory. T. Kucera studies injective modules and related concepts in module theory and ring theory. Yang Zhang's interests are algebra, computer algebra and applications.

Analysis

R. Clouatre works in operator theory and operator algebras. C. Cowan works in the area of partial differential equations. E. Schippers works in complex analysis, Teichmuller theory and two-dimensional conformal field theory. Yong Zhang works in Banach algebras and Harmonic analysis. N. Zorboska works in operator theory, complex analysis and spaces of analytic functions.

Approximation theory

K. Kopotun works in approximation theory with particular interest in various topics in nonlinear approximation, constrained approximation, measures of smoothness, weighted approximation, adaptive algorithms, and other related areas. A. Prymak works in approximation theory and geometric methods in analysis, with particular interest in shape-preserving approximation, measures of smoothness and approximation, and relations to other areas of analysis and mathematics.

Combinatorics (finite and discrete mathematics)

K. Gunderson works in random graph theory. S. Kirkland works in matrix theory and graph theory, with particular interest in the theory and applications of nonnegative matrices, combinatorial matrix theory, and spectral graph theory.

Foundations (logic and set theory)

T. Kucera studies problems in model theory, in particular applications of model-theoretic techniques to problems in module theory and ring theory.

Geometry and Topology

A. Clay studies the relationship between geometry of 3-manifolds and the algebraic properties of their fundamental groups. D. Krepski's interests are in symplectic geometry and quantization, as well as the topology of smooth Deligne-Mumford stacks.

Mathematical biology

J. Arino focuses mainly on mathematical epidemiology, F. Magpantay works with differential equations and stochastic systems for modeling biological systems, while S. Portet's work deals with cellular structure.

Numerical and computational mathematics

S. Lui works in numerical analysis, in particular numerical PDEs and numerical linear algebra and F. Magpantay works on numerical aspects of delay differential equations.

Graduations

Congratulations to our October, 2017 graduates: Colin Desmarais (M.Sc.), Serhii Dovhyi (M.Sc.), Avleen Kaur (M.Sc.), Negin Pasban (M.Sc.).

Important Date

October 5 – October 6: Fall Term break (No classes)

Upcoming Seminars

Rings and Modules seminar: R. Padmanabhan: Circle-realizable \( (n_4) \)-configurations — Tuesday, September 26 at 14:40, 418 Machray Hall.

Functional Analysis seminar: Ievgen Bilokopytov: Continuity and Holomorphicity of Symbols of Weighted Composition Operators — Tuesday, September 26 at 15:00, Building 205 Armes.

Functional Analysis seminar: Kristin Courtney: TBA — Monday, October 2 at 15:00, 415 Machray Hall.

Colloquium talk: Steve Reinhardt: TBA — Friday, November 3 at 08:00.