Research

The UTA Department of Mathematics has a robust research program encompassing a wide variety of topics. Our faculty members receive funding for their research from numerous state and national organizations and agencies, including the National Science Foundation, National Security Agency, Air Force Office of Scientific Research, U.S. Department of Education, U.S. Department of Defense, and Texas Higher Education Coordinating Board, among others. Faculty members' research interests are classified into the following areas:

Algebra, Combinatorics and Geometry
Minerva Cordero Finite Geometries
Ruth Gornet Inverse Spectral Geometry
David Jorgensen Commutative Algebra
Dimitar Grantcharov Representations of Lie Algebras and Superalgebras
Barbara Shipman Differential Geometry
Michaela Vancliff Noncommutative Algebra and Noncommutative Algebraic Geometry
Applied Mathematics
Tuncay Aktosun Inverse Problems and Wave Propagation
Gaik Ambartsoumian Computerized Tomography, Integral Geometry
David Liu Partial Differential Equations
Merlynd Nestell Integral Equations
Souvik Roy Inverse problems in medical imaging, PDE optimal control
Barbara Shipman Hamiltonian Dynamical Systems
Jianzhong Su Partial Differential Equations
Pedro Maia Dynamical Systems and Scientific Computing
Computational Mathematics
Benito Chen-Charpentier Numerical Methods for Deterministic and Random Differential Equations
Hristo V. Kojouharov Numerical Solution of Ordinary and Partial Differential Equations
Ren-Cang Li Numerical Linear Algebra, Numerical Solution of Ordinary Differential Equations, Scientific Computing
Guojun Liao Adaptive Grid Generation
Chaoqun Liu Computational Fluid Dynamics
Souvik Roy Scientific Computing, Finite volume and finite element methods
Li Wang Optimization
Keaton Hamm Numerical Linear Algebra, Random Matrix Theory, Radial Basis Function Approximation
Data Science
Ren-Cang Li Online Algorithm, Dimensionality Reduction, Nonlinear Manifold Learning, Compressed Sensing, Numerical Linear Algebra, Reduced Order Modeling, High Performance Computing
Jianzhong Su Computational Neuroscience
Li Wang Machine Learning and Big Data
Pedro Maia Computational Neuroscience
Keaton Hamm Dimensionality reduction, Subspace Clustering, Signal Processing, Approximation Theory
Mathematical Biology
Benito Chen-Charpentier Population Dynamics
Hristo V. Kojouharov Population Ecology, Biofilms
Christopher Kribs Epidemiology
Jianzhong Su Neuronal Dynamics
Pedro Maia Computational Neuroscience
Souvik Roy Stochastic disease dynamics and control
Mathematics Education
James Álvarez Undergraduate Mathematics Education, Mathematical Education of Teachers, Curriculum and Program Development
Theresa Jorgensen Mathematical Education of Teachers
Christopher Kribs Elementary (preK-4) and Middle (4-8) Grades Mathematics Education
Probability and Statistics
A. Korzeniowski Probability Theory and Stochastic Processes
Shan Sun-Mitchell Mathematical Statistics
Suvra Pal Survival Analysis and Statistical Computing