# Areas of Expertise

A list of the general research areas of Department faculty is below. Further information about an individual faculty member may be found on that person's webpage.

### Actuarial Mathematics

- Dr. T. Bae (Financial mathematics, risk management)
- Prof. P. Douglas (Applied stochastic modelling)
- Prof. J.-P. Venter (Actuarial Science, Financial mathematics and investment theory, enterprise risk management, stochastic survival models)

### Algebra, Discrete Mathematics, and Number Theory

- Dr. S. Fallat (Linear algebra, combinatorial matrix theory)
- Dr. A. Herman (Group theory, representation theory, algebraic combinatorics)
- Dr. K. Meagher (Combinatorics and algebraic graph theory)
- Dr. R. McIntosh (Computational number theory, q- hypergeometric series, mock theta functions)
- Dr. S. A. Mojallal* (Spectral graph theory, matrix theory)
- Dr. F. Szechtman (Group theory, Lie algebras, representation theory, linear algebra)
- Dr. P. Vishwakarma* (Matrix analysis and positivity preservers, totally nonnegative matrices, and inverse eigenvalue problem for graphs)

### Analysis

- Dr. M. Argerami (Operator algebras, II
_{1}factors, operator systems) - Dr. J. Erlijman (von Neumann algebras, subfactors)
- Dr. D. Farenick (Operator algebras, operator theory, quantum information)
- Dr. R. Floricel (Operator algebras, quantum probability, noncommutative dynamics)
- Dr. C.-H. Guo (Numerical analysis, scientific computing, applied linear algebra)

### Geometry and Topology

- Dr. B. Gilligan (Symmetries of complex manifolds)
- Dr. M. Frankland (Algebraic topology, homotopy theory)
- Dr. A.-L. Mare (Lie groups, Riemannian symmetric spaces, homogeneous spaces)
- Dr. D. Stanley (Rational homotopy theory, category theory)
- Dr. T. So* (Homotopy theory, topology of gauge groups, Lie groups and polyhedral products)

### Statistics and Probability Theory

- Dr. D. Deng (Limit theory, generalized linear models)
- Dr. M. Kozdron (Probability, stochastic processes, statistical physics)
- Dr. A. Volodin (Statistical inference, limit theorems, distributions on abstract spaces, bootstrap)
- Dr. Y. Zhao (Applied statistics and biostatistics)

* Postdoctoral Fellow (PIMS) ** Postdoctoral Fellow