Faculty members in Pure Math Section
and their research interests
 

ALGEBRA

R.G. Burns, Ph.D. (A.N.U.). Combinatorial group theory, general group theory.

Y. Gao, Ph.D. ( Saskatchewan). Infinite dimensional Lie algebras, representation theory, vertex operators, homology of algebras, Lie algebras associated with the other nonassociative structures, mathematical physics.

M. Zabrocki, Ph.D. ( California at San Diego). Algebraic combinatorics.

See also S.D. Promislow (under Analysis); J.M.N. Brown (under Geometry); J. Steprans and W. Tholen (under Foundations); and N. Bergeron (under Combinatorics).

 

ANALYSIS

P.C. Gibson, Ph.D. ( Calgary). Applied harmonic analysis (time-frequency analysis and applications to seismic imaging, PDE and signal processing), inverse problems (matrix analysis, orthogonal polynomials, discrete geometry and applications to oscillating systems).

M.E. Muldoon, Ph.D. ( Alberta). Special functions, ordinary differential equations, approximations and expansions, functional equations.

S.D. Promislow, Ph.D. (U.B.C.) F.S.A. Functional analysis, group theory, actuarial mathematics.

M.W. Wong, Ph.D. ( Toronto). Functional analysis, pseudo-differential operators, partial differential equations.

J. Wu, Ph.D. ( Hunan). Functional differential equations, nonlinear functional analysis, dynamical systems, mathematical biology and neural networks.

See also D. Spring (under Algebraic Topology); and H. Huang (under Applied Mathematics).

 

GEOMETRY

J.M.N. Brown, Ph.D. (Harvard). Finite geometries, designs, error correcting codes, automorphism groups.

M.D. Walker, Ph.D. ( Toronto). Geometric modelling, solid modelling, spline surfaces, computer graphics, homotopy theory, history of mathematics.

A. Ivic Weiss, Ph.D. ( Toronto). Discrete and combinatorial geometry, regular polytopes.

W.J. Whiteley, Ph.D. (M.I.T.). Discrete geometry and its applications, rigidity (static and kinematic) of frameworks, multivariate splines, polyhedral combinatorics, matroid theory, logic and invariant theory, geometric reasoning.

See also N. Bergeron (under Combinatorics).

 

ALGEBRAIC AND DIFFERENTIAL

TOPOLOGY

S.O. Kochman, Ph.D. ( Chicago). Homology operations, cobordism theories, computer assisted computation of stable stems.

D. Spring, Ph.D. ( California at Berkeley). Topology of manifolds, knot theory, convex integration theory, partial differential equations.

See also M.D. Walker (under Geometry).

 

FOUNDATIONS

I. Farah, Ph.D. ( Toronto). Set theory, combinatorics, applications to analysis.

J. Steprans, Ph.D. ( Toronto). Set theory, infinitary combinatorics, forcing, applications to algebra.

P. Szeptycki, Ph.D. ( Toronto). Set-theoretic topology, applications of set-theoretic methods to general topology.

W. Tholen, Ph.D. (Münster). Category theory and its applications to algebra, topology and theoretical computer science.

G. Tourlakis, Ph.D. ( Toronto). Ordinary and higher recursion theory (computability), subrecursive hierarchies, computational complexity.

F. van Breugel, Ph.D. (V.U. Amst.). Quantitative verification of probabilistic transition systems exploiting measures, metric spaces and categories.

S. Watson, Ph.D. ( Toronto). Set-theoretic topology, general topology, set-theoretic combinatorics, counterexamples.

 

DISCRETE MATHEMATICS

N. Bergeron, Ph.D. ( California at San Diego). Algebraic combinatorics.

See also J.M.N. Brown, A. Ivic Weiss and W. Whiteley (under Geometry).