FACULTY MEMBERS BY FIELD OF
INTEREST

Algebra, Analysis, Geometry, Algebraic & Differential
Topology, Foundations, Discrete Mathematics, Probability &
Stochastic Processes, Statistics, and Applied Mathematics.

**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.

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**

**D. Ghisa**, Ph.D. (Bucharest). Complex analysis, quasi-conformal
mappings, Riemann surfaces.

**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 J. Wick Pelletier (under
Foundations); D. Spring (under Algebraic Topology); L.S. Hou, 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**

**J. Wick Pelletier**, Ph.D. (McGill). Category theory, functional
analysis, applications of category theory 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.

**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).

**PROBABILITY AND STOCHASTIC PROCESSES**

**S. Guiasu**, Ph.D. (Bucharest). Information theory, statistical
mechanics, multivariate analysis, stochastic models in operations
research.

**N. Madras**,
Ph.D. (Cornell). Random walks, mathe-matical models in physics and
biology, combinatorics, Monte Carlo methods.

**G.L. O'Brien**,
Ph.D. (Dartmouth), F.I.M.S. Stationary sequences, extreme value
theory, stochastic inequalities, weak and strong limit theorems, large
deviation theory.

**T.S. Salisbury**,
Ph.D. (U.B.C.). Brownian motion, Markov processes.

**STATISTICS**

**S.R. Chamberlin**, Ph.D. (Waterloo). Statistical inference.

**A. Gibbs**,
Ph.D. (Toronto). Markov chain Monte Carlo methods with applications to
image restoration; applied statistics.

**G.J. Jiang, Ph.D. **(Western
Ontario). Financial econometrics, statistical inference of financial
models, risk measurement and management.

**H. Massam**,
Ph.D. (McGill). Differential techniques in inference, optimization in
statistics.

**G. Monette**,
Ph.D. (Toronto). Statistical inference, interactive statistical
graphics.

**P. Ng**,
Ph.D. (Toronto), Application of statistics in problem solving,
development of health measurement scales, experimental design.

**P. Song**,
Ph.D. (UBC). Generalized linear models, time series.

**A.C.M. Wong**,
Ph.D. (Toronto). Statistical inference.

**Y. Wu**,
Ph.D. (Pittsburgh). Multivariate analysis, robust statistics,
statistical signal processing.

See also S. Guiasu (under Probability
and Stochastic Processes).

**APPLIED MATHEMATICS**

**J.H. Elder**, Ph.D. (McGill). Computational modelling, vision,
attention, synthetic images, coding.

**H. Huang**,**
**Ph.D. (UBC). Scientific computing, numerical analysis,
computational fluid dynamics, mathematical modeling, industrial
mathematics.

**D. Liang, Ph.D.**
(Shandong). Numerical analysis of partial differential equations,
numerical simulations, scientific computing, computational fluid
dynamics.

**K.R. Maltman**,
Ph.D. (Toronto). Theoretical physics.

**A.D. Stauffer**,
Ph.D. (London). Numerical methods in mathematical physics, solution of
integro-differential equations and their asymptotic development.

**E.J.J. van Rensburg**,
Ph.D. (Cambridge). Mathematical modelling in physics and biology.

**H. Wilson**,
Ph.D. (Chicago). Mathematical modelling and analysis of neural
networks, nonlinear dynamics in neuroscience.

See also N. Madras (under Probability),
W. Whiteley (under Geometry), and J. Wu (under Analysis).

**HISTORY OF
MATHEMATICS AND MATHEMATICS EDUCATION**

**I. Kleiner**, Ph.D. (McGill). Nineteenth and early twentieth
century mathematics, relations between the history and the pedagogy/teaching
of mathematics.

**M. Sinclair**,
Ph.D. (OISE/UT). Dynamic geometry, diagrammatic reasoning, use of
technology in mathematics, and mathematics education.

See also W. Whiteley, and M. Walker
(under Geometry)