College of Liberal Arts and Sciences

Department of Mathematics

 

Research Areas

Algebra and Logic

Bergman, Clifford - algebra, logic, cryptology, steganography
Gregorac, Robert
Hentzel, Irvin
Hogben, Leslie - combinatorial matrix theory, matrix completion problems, minimum rank of a graph, spectral graph theory, spectrally arbitrary sign patterns, matrix stability
Maddux, Roger - relation algebras, logic, species-area relationship
Ng, Siu-Hung (Richard) - Quantum Group, Hopf algebra and their representations
Smith, Jonathan
Song, Sung - Association schemes, combinatorial designs, graphs and digraphs, character tables

Analysis, Functional Analysis and Topology

Johnston, Elgin
Lieberman, Gary - boundary value problems, regularity, elliptic PDEs, parabolic PDEs, variational inequalities
Peters, Justin - Functional Analysis, Operator Algebras
Poon, Yiu
Weber, Eric - Harmonic Analysis, Wavelets, Information Processing
Willson, Stephen - phylogenetic trees, supertrees, phylogenetic network
Wilson, James - special functions, orthogonal polynomials, combinatorial sums

Applied Mathematics and Mathematical Modeling

Boushaba, Khalid
D'Alessandro, Domenico
Dahiya, Rajbir
Evans, Jim - non-equilibrium statistical mechanics; modeling of thin film morphology and surface reactions
Gautesen, Arthur
Hansen, Scott
Hou, L. Steven
Keinert, Fritz - wavelets, numerical analysis
Levine, Howard - partial differential equations, transport problems in biology, ill posed problems
Liu, Hailiang - Numerical Analysis, Applied PDEs
Sacks, Paul - partial differential equations, inverse problems
Su, Bo
Tidriri, Moulay
Yan, Jue - numerical analysis, high order numerical methods for PDEs

Control Theory

D'Alessandro, Domenico
Hansen, Scott
Kliemann, Wolfgang

Dynamical Systems and Ordinary Differential Equations

Alexander, Roger
D'Alessandro, Domenico
Dahiya, Rajbir
Kliemann, Wolfgang
Murdock, James - normal forms, method of averaging

Graph Theory and Combinatorics

Axenovich, Maria - graph theory, combinatorics, coloring problems, Ramsey-type problems
Hogben, Leslie - combinatorial matrix theory, matrix completion problems, minimum rank of a graph, spectral graph theory, spectrally arbitrary sign patterns, matrix stability
Martin, Ryan - extremal graph theory, combinatorics, probabilistic methods
Smith, Jonathan
Song, Sung - Association schemes, combinatorial designs, graphs and digraphs, character tables
Willson, Stephen - phylogenetic trees, supertrees, phylogenetic network

Mathematical Biology

Boushaba, Khalid
Levine, Howard - partial differential equations, transport problems in biology, ill posed problems
Smiley, Michael - partial differential equations, mathematical biology
Smith, Jonathan
Su, Bo
Willson, Stephen - phylogenetic trees, supertrees, phylogenetic network
Wu, Zhijun - Bio-Molecular and Bio-Systems Modeling and Simulation

Number Theory and Cryptography

Bergman, Clifford - algebra, logic, cryptology, steganography
Davidson, Jennifer - image processing, steganography, steganalysis
Long, Ling - Number Theory and its applications
Roettger, Christian - asymptotic counting problems, discrete dynamical systems, exponential sums and uniform distribution, finite fields, Galois rings
Song, Sung - Association schemes, combinatorial designs, graphs and digraphs, character tables

Numerical Analysis and Scientific Computation

Alexander, Roger
Hou, L. Steven
Keinert, Fritz - wavelets, numerical analysis
Liu, Hailiang - Numerical Analysis, Applied PDEs
Luecke, Glenn - Performance evaluation of high performance computers; parallel computing; mathematics and high performance computing; parallel linear algebra.
Smiley, Michael - partial differential equations, mathematical biology
Tidriri, Moulay
Wu, Zhijun - Bio-Molecular and Bio-Systems Modeling and Simulation
Yan, Jue - numerical analysis, high order numerical methods for PDEs

Partial Differential Equations

Boushaba, Khalid
Hansen, Scott
Hou, L. Steven
Levine, Howard - partial differential equations, transport problems in biology, ill posed problems
Lieberman, Gary - boundary value problems, regularity, elliptic PDEs, parabolic PDEs, variational inequalities
Liu, Hailiang - Numerical Analysis, Applied PDEs
Sacks, Paul - partial differential equations, inverse problems
Smiley, Michael - partial differential equations, mathematical biology
Su, Bo
Tidriri, Moulay
Yan, Jue - numerical analysis, high order numerical methods for PDEs

Probability and Stochastic Processes

Athreya, Krishna
Evans, Jim - non-equilibrium statistical mechanics; modeling of thin film morphology and surface reactions
Kliemann, Wolfgang
Martin, Ryan - extremal graph theory, combinatorics, probabilistic methods
Sethuraman, Sunder
Suh, Jiyeon
Weerasinghe, Ananda - Stochastic Control Theory, Mathematics of Finance.

steganography

Mathematicians Jennifer Davidson and Cliff Bergman have developed software that detects stegagography, or the presence of secret files in images.

 

"The human contribution is the essential ingredient. It is only in the givig of oneself to others that we truly live." --Ethel Percy Andrus