# Research Overview

## 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

One PhD is in progress.

## Analysis and Dynamical Systems

Qingying Bu: functional analysis, in particular Banach space theory.

Gerard Buskes: functional analysis, operator theory, ordered algebraic structures.

Saša
Kocić: dynamical systems (renormalization, KAM theory, rigidity theory).

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 have been completed within the group since 2003.
Three more are in progress.

## Combinatorics

Stan Dziobiak: structural graph theory, graph minors.

Adam
Gray: matroid theory, graph theory, combinatorics.

Torina
Lewis: matroid theory.

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).

Sixteen PhDs have been completed in the group since 2003. Five more
are in progress.

## Statistics

Ali
Al-sharadqah: probability theory and statistics, statistical computer vision: statistical
optimization for geometric fitting, numerical linear algebra.

Xin
Dang:
nonparametric and robust multivariate analysis, data mining, outlier
detection, depth functions.

Hailin
Sang: time series modeling, asymptotic statistics, empirical processes.

Nine PhDs have been completed within the group since 2003. Three more
are in progress.

## Visiting Faculty

Ali Al-sharadqah: probability theory and statistics, statistical computer vision: statistical
optimization for geometric fitting, numerical linear algebra.

Stan
Dziobiak:
structural graph theory, graph minors.

Adam
Gray:
matroid theory, graph theory, combinatorics.

Torina
Lewis:
matroid theory.

## Upcoming Conferences

2013 Spring Southeastern Section Meeting of the American Mathematical Society

## Past Conferences

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

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