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)
