Alfred Akinsete, Ph.D., University of Ibadan, Nigeria (Mathematical Statistics)
The research interests of Dr. Akinsete are in stochastic processes, applied probability, and distribution functions. He is
currently interested in the distributions and applications of beta-compounded random variables, queuing networks, statistics of
stable marriages, and the statistical analyses of sports data.
Ari Aluthge, Ph.D., Vanderbilt University (Functional Analysis, Operator Theory)
Research Summary: Dr. Aluthge's research interest includes p-hyponormal operators and
operator inequalities. He is mainly interested in properties of p-hyponormal
operators. His recent research involves results related to spectral
Basant Karna, Ph.D., Baylor University (Ordinary Differential Equations).
The research interests of Dr. Karna are Boundary
Value Problems for Ordinary Differential Equations and Dynamical Equations.
Currently, he is involved in finding positive solution(s) for multipoint
boundary value problems using different fixed point theorems, comparing
smallest eigenvalues for mulitipoint boundary value problems, and
characterizing the first extremal point. He is also working on these
problems on Time Scale(s) (A Time Scale is a closed subset of the reals).
Bonita Lawrence, Ph.D., University of Texas, Arlington (Dynamical Systems)
Anna Mummert, Ph.D., Pennsylvania State University (Dynamical
Systems, Mathematical Biology).
Research Summary: The research interests of Dr. Mummert
are Epidemiological Modeling (Mathematical Biology) and
Dynamical Systems. Currently, she is involved in studying the
inverse problem of recovering the time-dependent transmission
rate of an epidemiological model given incidence data,
determining potential mathematical functions corresponding to
biological reasoning that would result in two waves of infection
as seen in the 2009 - 2010 H1N1 influenza outbreak, and studying
the dynamical systems properties of a new type of
mathematical model that mixes deterministic and stochastic
Carl Mummert, Ph.D., Pennsylvania State University (Mathematical Logic)
Dr. Mummert's research is in mathematical logic, particularly in reverse mathematics, an area of logic
seeks to determine which axioms are necessary to prove well-known theorems of mathematics. His reverse mathematics research has focused on
principles from topology, choice principles, and countable combinatorics. He has also published papers in pure topology, and has mentored student
research in logic, real analysis, and latin squares.
Elizabeth Niese, Ph.D., Virginia Polytechnic Institute and State University (Algebraic Combinatorics)
Dr. Niese studies symmetric and quasisymmetric functions. These functions have many connections to both algebra and combinatorics. Dr. Niese’s current research
includes working on generalizations of quasisymmetric Schur functions and combinatorial properties of Macdonald polynomials.
Scott Sarra, Ph.D., West Virginia University (Numerical Analysis)
Dr. Sarra is an active researcher in numerical analysis. His research is
with high-order methods for the numerical solution of partial differential
equations (PDEs). The methods include radial basis function methods (RBFs)
and pseudospectral methods. He is also involved with
post-processing methods that reduce or eliminate the Gibbs phenomenon.
Peter Saveliev, Ph.D., University of Illinois at Urbana-Champaign (Algebraic Topology)
Dr. Saveliev's work is in Computational Topology and its applications in sciences and engineering. Of particular
interest are such areas as digital image analysis and computer
vision, topology of data, discrete exterior calculus (PDEs and flows on networks).
Michael Schroeder, Ph.D., University of Wisconsin–Madison (Combinatorics, Graph Theory)
Research Summary: Dr. Schroeder’s areas of research include combinatorics (the study of cleverly counting things) and graph theory.
Most recently, this includes completing latin squares (similar to completing Sudoku puzzles) with certain initial conditions, and graph decompositions.