## Faculty Research

Dr. Akinsete’s research interests are in stochastic processes, applied probability, and distribution functions. He is currently interested in generating statistical distributions and their applications to real-life data. His other areas of research focuses on queuing networks, and the statistical analyses of sports data.

Email: akinsete@marshall.edu

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

Dr. Al-Aqtash’s research focuses on generating new families of T-X{Y} distributions by combining two existing distributions using a suitable link transformation, studying their mathematical properties and application to different real life phenomena. Other research interests include pattern recognition, data mining, time series, and regression modelling.

Email: alaqtash@marshall.edu

Webpage: http://science.marshall.edu/alaqtash

Email: duhona@marshall.edu

Webpage: http://www.science.marshall.edu/duhona

Email: elkadry@marshall.edu

Dr. Karna’s research interests are in 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 Scales (A Time Scale is a closed subset of the reals).

Email: karna@marshall.edu

Webpage: http://www.science.marshall.edu/karna

Dr. Lawrence’s research interests include calculus and analysis on time scales. This field generalizes discrete mathematics and continuous mathematics into a single system. Dr. Lawrence also heads the Marshall University Differential Analyzer Lab. This lab builds differential analyzers, which are analog machines for solving differential equations, and uses them to study differential equations and time scales calculus.

Email: lawrence@marshall.edu

Webpage: http://www.science.marshall.edu/lawrence

Dr. Mallick’s interests are distribution theory and statistical modeling, especially developing statistical methodologies for analyzing environmental and medical/biological data. Currently, his focus is analysis of censored survival data and its application in Medicine and Environmental Sciences. He is also working on developing inferential procedures for discrete inflated distributions and their applications. His other research interests include missing data analysis, especially multiple imputation and statistical meta-analysis.

Email: mallicka@marshall.edu

Webpage: http://www.science.marshall.edu/mallicka

Dr. Mummert’s research interests are in Epidemiological and Ecological 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 in stochastic differential equations, the prairie ecoregion, questions around fresh drinking water in Iowa and WV, and using dynamical systems tools to understand mathematical biology models.

Email: mummerta@marshall.edu

Webpage: http://www.science.marshall.edu/mummerta

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

Dr. Otunuga’s research interests include Stochastic Dynamical Systems and Analysis; Mathematical Biology (Deterministic and Stochastic Dynamics of Infectious Diseases); and Commodities Price Modeling and Analysis. Currently, he is involved in studying the global dynamics of multi-dimensional epidemic models with treatments. He is also focusing on a time varying parameter estimation scheme for a stochastic D.E. and modeling and analysis of financial data (energy commodity, U.S. Treasury Interest rate, U.S.-U.K. exchange rate, stock price data, etc.)

Email: otunuga@marshall.edu

Webpage: http://science.marshall.edu/otunuga

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

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

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

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