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 fourteen 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 seven 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
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