MATHEMATICS

Research Overview


The Department of Mathematics has four research groups.

Algebra and Number Theory

Nathan Jones: Number Theory
Micah Milinovich
: analytic number theory, especially the theory of the Riemann zeta-function, L-functions, and multiplicative number theory.
Sandra Spiroff: commutative algebra, specializing in the topics of divisor class groups and Chow groups.

Analysis

Qingying Bu: functional analysis, in particular Banach space theory.
Gerard Buskes: functional analysis, operator theory, ordered algebraic structures.
Przemo Kranz: functional analysis, ordered algebraic structures.
Iwo Labuda: topological vector spaces, spaces of measurable functions, integral operators, vector measures, set-valued maps.
Erwin Miña-Díaz: approximation theory, orthogonal polynomials.

Six PhDs were completed within the group since 2003. One is in progress.

Combinatorics

Talmage James Reid: matroid theory and graph theory.
Laura Sheppardson: graph structures (including cycles, disjoint paths, and minors).
William Staton: graph theory; currently working on independence polynomials of graphs.
Bing Wei: structural properties of graphs including cycles, graph minors and domination.
Haidong Wu: matroid theory and graph theory (connectivity, matroid polynomials).

The group has sixteen PhDs completed since 2003. Four more are in progress.

Statistics

Xin Dang: nonparametric and robust multivariate analysis.
Sunil Mathur: statistical bioinformatics, biostatistics, computational statistics, Monte Carlo and nonparametric methods.
Mohammad Sepehrifar: non-parametric life testing, reliability theory.

Since 2003, the group has produced eight PhDs. Three more are in progress.

Visiting Faculty

Zhu Cao: number theory (including q-series, theta functions, and partitions).
Masayoshi Kaneda: functional analysis, especially operator spaces in the theory of operator algebra.
Vlad Timofte: Approximation Theory, Symmetric Polynomials, Functional Analysis, Shape Memory Alloys (study of mathematical models).

Conferences to be hosted by the Department:

23th Cumberland Conference on Combinatorics, Graph Theory and Computing (May 2010)

Past Conferences:

ORD05/UMS Conference on Lattice-Ordered Groups and f-Rings

15th Cumberland Conference on Combinatorics, Graph Theory, and Computing

2001 LA/MS Section Meeting of the Mathematical Association of America

9th Cumberland Conference on Combinatorics, Graph Theory, and Computing

Copyright 2008
Last Updated October 2, 2008