Faculty Research Interests

Alfred Akinsete, Ph.D., University of Ibadan, Nigeria (Mathematical Statistics)
Research Summary: 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.
Email:  akinsete@marshall.edu

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 properties.
Email:  aluthge@marshall.edu

Basant Karna, Ph.D., Baylor University (Ordinary Differential Equations).
Research Summary: 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).
Email:  karna@marshall.edu
Webpage:  http://www.science.marshall.edu/karna

Bonita Lawrence, Ph.D., University of Texas, Arlington (Dynamical Systems)
Email:  lawrence@marshall.edu
Webpage:  http://www.science.marshall.edu/lawrence

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 models.
Email:  mummerta@marshall.edu
Webpage:  http://www.science.marshall.edu/mummerta

Carl Mummert, Ph.D., Pennsylvania State University (Mathematical Logic)
Research Summary: 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.
Email:  mummertc@marshall.edu
Webpage:  http://www.science.marshall.edu/mummertc

Elizabeth Niese, Ph.D., Virginia Polytechnic Institute and State University (Algebraic Combinatorics)
Research Symmary: 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.
Email:  niese@marshall.edu

Scott Sarra, Ph.D., West Virginia University (Numerical Analysis)
Research Summary: 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.
Email:  sarra@marshall.edu
Webpage:  http://www.scottsarra.org

Peter Saveliev, Ph.D., University of Illinois at Urbana-Champaign (Algebraic Topology)
Research Summary: 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).
Email:  saveliev@marshall.edu
Webpage:  http://PeterSaveliev.com

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.
Email:  schroederm@marshall.edu
Webpage:  http://www.science.marshall.edu/schroederm

 
 
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