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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) 

 

Faculty of Graduate Studies - Department of Mathematics & Statistics - York University