Main 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 number theory

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. S. Sankaran's interests include number theory, modular and automorphic forms and arithmetic algebraic geometry. 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)

R. Craigen studies orthogonal matrices and related objects in the field of Combinatorial Matrix Theory. 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. F. Magpantay works on numerical aspects of delay differential equations. R. M. Slevinsky works in numerical methods for singular integral equations.

News

MathCamp 2017 information is online.

In an effort to help students, the Math department has put together the LevelUp program. See details here. Video explaining registration process is here.

Events

Friday, August 4th, 2017 at 15:30, 418 Machray Hall
Jose Aguayo
TBA
(Seminar series : Colloquium)