**FACULTY MEMBERS BY FIELD OF INTEREST****ALGEBRA**
**R.G. Burns**, Ph.D. (A.N.U.). Combinatorial group
theory, general group theory.
**D. Solitar**, Ph.D. (N.Y.U.), F.R.S.C. Group theory,
mathematics education, computer algebra.
**A.P. Trojan**, Ph.D. (M.I.T.). Representation theory
of finite groups, coding theory.
See also S.D. Promislow (under Analysis); J.M.N. Brown
(under Geometry); D.H. Pelletier, J. Steprans and W. Tholen (under
Foundations); and N. Bergeron (under Combinatorics).
**ANALYSIS**
**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); and K.M.A. Bugajska and L.S. Hou (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). Combinatorial and
discrete geometry, incidence polytopes.
**W.J. Whiteley**, Ph.D. (M.I.T.). Discrete geometry and
its applications, rigidity (static and kinematics) of frameworks, multivariate splines,
polyhedral combinatorics, matroid theory, logic and invariant theory, geometric reasoning.
See also N. Bergeron (under Combinatorics); and K.M.A.
Bugajska (under Applied Mathematics).
**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**
**A.S. Dow**, Ph.D. (Manitoba). Axiomatic set
theory, forcing and independence, set-theoretic topology.
**D.H. Pelletier**, Ph.D. (Illinois). Set theory, large
cardinals, infinitary combinatorics, forcing, Boolean-valued models, non-standard
analysis, linear algebra, logic.
**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.
**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.
See also P. Rogers (under History of Mathematics and
Mathematics Education).
**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.
**D. Salopek**, Ph.D. (Carleton), finance, real and
stochastic analysis.
**D.L. Tanny**, Ph.D. (Cornell). Branching processes
in a random environment, multitype processes, stationary sequences, mathematical
statistics, ergodic theory.
**STATISTICS**
**M. Asgharian**, Ph.D. (McGill). Changepoint
problems, survival analysis, nonparametric Bayesian inference.
**S.R. Chamberlin**, Ph.D. (Waterloo). Statistical
inference.
**C. Czado**, Ph.D. (Cornell). Generalized linear
models. Monte Carlo Markov Chain Methods, Correlated binary data, Nonparametric
equivalence.
**G.E. Denzel**, Ph.D. (Washington). Graphical
analysis.
**D.A.S. Fraser**, Ph.D. (Princeton), D. Math.
(Waterloo), F.R.S.C., F.I.M.S., F.R.S.S., F.I.S.I., F.A.A.S., F.A.S.A. Foundations of
statistics, asymptotics, differential methods, statistical computer graphics,
implementations of theoretical methods.
**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.H. Peskun**, Ph.D. (Toronto). Survey sampling
techniques, Monte Carlo sampling methods, random number generation, goodness-of-fit
techniques.
**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 and D.L. Tanny (under Probability and
Stochastic Processes).
**APPLIED MATHEMATICS**
**K.M.A. Bugajska**, Ph.D. (Silesian University). Mathematical
physics, string theory, relativity.
**J.H. Elder**, Ph.D. (McGill). Computational modelling, vision,
attention, synthetic images, coding.
**L.S. Hou**, Ph.D. (Carnegie Mellon). Numerical solutions of
partial differential equations, computational fluid mechanics, control of fluids.
**C. Hruska**, Ph.D. (Charles U., Prague). Linear and nonlinear
theory of continua, tensors of propagation of waves in crystals, experimental work in
piezoelectricity, measurement methods and equipment design.
**K.R. Maltman**, Ph.D. (Toronto). Theoretical physics.
**R.P. McEachran**, Ph.D. (Western Ontario). Atomic and molecular
collisions and structures.
**J. M. McNamee**, Ph.D. (London). Numerical analysis, especially
roots of polynomials.
**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.
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.
**P. Rajagopal**, Ph.D. (Cambridge). History of mathematics.
**P. Rogers**, Ph.D. (London). Mathematical education, model theory.
**A. Shenitzer**, Ph.D. (N.Y.U.). History and philosophy of
mathematics and their uses in the teaching of mathematics.
See also D. Solitar (under Algebra), W. Whiteley, and M. Walker (under
Geometry) |