Math

Inverse Problems and Wave Propagation

Learn more: https://www.uta.edu/academics/faculty/profile?user=aktosun#Research

His research and professional interests lie in mathematics education with a focus on mathematical problem solving, mathematics-specific technology, increasing access to mathematics through improved preparation of mathematics teachers, program development, and curriculum development. He has been an essential contributor to the development and enhancement of mathematics standards and assessments for students and teachers. Dr. Álvarez's research and scholarly activity focuses on the following themes: mathematical problem solving, mathematical education of teachers, undergraduate mathematics achievement and mathematics program development, and school curriculum standards.

Learn more: https://www.uta.edu/academics/faculty/profile?user=james.alvarez

Research Interests

• Computerized Tomography

• Integral Geometry

• Inverse Problems

• Mathematical Problems of Imaging

Learn more: https://www.uta.edu/academics/faculty/profile?user=gambarts

https://websites.uta.edu/gambarts/research/

Research Interests

• Population Dynamics and Math Biology

• Numerical Methods for Deterministic and Random Differential Equations

• RTG: Vertically Integrated Interdisciplinary Training in Mathematics for Human Health

Learn more: https://www.uta.edu/academics/faculty/profile?user=bmchen

Research Interests

• My research area is in Pure Mathematics and is at the intersection of Algebra, Geometry, Combinatorics, and Design of Experiments. More specifically, I study non-associative algebras and the projective planes they coordinatize. Non-associative algebras can be applied to many other branches of Mathematics and other Sciences either directly or using their particular methods. Some non-associative algebras, like, for example, Lie algebras, have significant applications in Physics.

• Finite Geometries

Learn more: https://mentis.uta.edu/explore/profile/minerva-cordero-epperson

Research Interests

• Inverse Spectral Geometry

Learn more: https://mentis.uta.edu/explore/profile/ruth-gornet

Research Interests

• Representations of Lie Algebras and Superalgebras

Learn more: https://www.uta.edu/academics/faculty/profile?user=grandim

Research Interests

• Numerical Linear Algebra, Random Matrix Theory, Radial Basis Function Approximation

• Dimensionality reduction, Subspace Clustering, Signal Processing, Approximation Theory

Learn more: https://keatonhamm.com/

• In the era of big data and artificial intelligence, massive quantities of data are being collected, calling for analyses based on advanced techniques. That leads to the emergence of data science, an interdisciplinary field integrating statistics, computer science and other domains. Dr. Jiang has general interests in developing dependable and scalable data science methods in statistical inference, information discovery and machine learning, with applications in biomedical research.

• His research includes the following aspects in general:

• 1. Enhancing dependability of data science methods from perspectives of resilience, interpretability and generalizability;

• 2. Developing scalable methods for analyzing large-scale, high-dimensional data;

• 3. Utilizing data science methods on multi-omics, EHR and image data to explore the molecular mechanisms of biological traits, particularly human diseases;

• 4. Exploring applications of data science methods in different domains.

Learn more: https://www.uta.edu/academics/faculty/profile?user=wei.jiang

• Commutative Algebra

Learn more: https://www.uta.edu/academics/faculty/profile?user=djorgens

• Mathematical Education of Teachers

Learn more: https://www.uta.edu/academics/faculty/profile?username=tjorgens

• At present, Dr. Kojouharov is the director of the NSF-funded RTG: Vertically Integrated Interdisciplinary Training in Mathematics for Human Health program at UTA, which provides advanced research opportunities for students at all levels.

• Numerical Analysis: Numerical Solution of Ordinary and Partial Differential Equations/Systems: Nonstandard Finite Difference Methods

• Mathematical Biology: Mathematical Modeling and Analysis of Complex Biological Systems: Microbial Biofilms, Population Interactions, Bone Formation and Growth, the Human Immune System, and Gut Microbiomes

Learn more: https://hristo.utasites.cloud/#gs

https://www.uta.edu/academics/faculty/profile?user=hristo

• Probability Theory and Stochastic Processes

• Probability, Random Processes, Stochastic Analysis.

Applications: Risk Modeling & Finance, Queueing Theory, Dynamic Network Reliability, Random Graphs, Path Integrals, Quantum Mechanics, Monte Carlo Simulation.

Learn more: https://mentis.uta.edu/explore/profile/andrzej-korzeniowski

I have two research programs: in mathematical population biology, mostly epidemiology and ecology using dynamical systems, and in mathematics education, with particular interest in the teaching and learning of rational numbers and in mathematics classroom discourse analysis.

Learn more: https://mentis.uta.edu/explore/profile/christopher-kribs

His research interest includes floating-point support for scientific computing, numerical linear algebra, reduced order modeling, large scale eigenvalue computations in electronic structure calculations, and unconventional schemes for ordinary differential equations, and, more recently, machine learning. He helped HP in developing its libm library for HP Itanium computers in 2001.

Numerical Linear Algebra, Linear/Nonlinear Eigenvalue Problems, High Performance Computing, Numerical Solution of Ordinary Differential Equations, Optimization on Manifolds, Linear Complementary Problem, Reduced Order Modeling, Large Scale Eigenvalue Problems from Electronic Structure Calculation, Superfast Sparse MRI via Compressed Sensing, Machine Learning, Optimization on Matrix Manifolds, System Support for Scientific Computations, Elementary Function Computations, IEEE Floating Point Arithmetics

Learn more: https://www.uta.edu/academics/faculty/profile?user=rcli

• Adaptive Grid Generation

Learn more: https://mentis.uta.edu/explore/profile/guojun-liao

• Computational Fluid Dynamics

Learn more: https://mentis.uta.edu/explore/profile/chaoqun-liu

• Partial Differential Equations

Learn more: https://mentis.uta.edu/explore/profile/yue-liu

• I am broadly interested in the emerging field of computational neurology, i.e., in using theoretical, computational, data analysis and mathematical methods to study pathologies in the brain.

• I am particularly interested in a pathological development in injured neurons referred to as Focal Axonal Swellings (FAS). They are present in a staggering number of incurable brain disorders such as:

• Alzheimer's Disease

• Concussions

• Creutzfeldt-Jakob Disease

• HIV Dementia

• Multiple Sclerosis

• Neuromyelitis Optica

• Neuropathies

• Parkinson's Disease

• Pelizaeus-Merzbacher Disease

• Traumatic Brain Injury

• Together, these neurological disorders are responsible for millions of deaths and hospitalizations worldwide. FAS nomenclature varies across the literature, with varicosities, bulbs, spheroids, torpedoes, and beadings being common synonyms. My goal is to develop theoretical and computational models to investigate how FAS and other neurodegenerative effects impact functionality in neuronal networks. 

• To tackle this extremely hard problem, I use a broad range of classic and modern Applied Mathematics methods, including Scientific Computing, Dynamical Systems, Network Analysis, Decision-Making Theory, Machine-Learning and Data-Driven Methods. 

Learn more: https://www.uta.edu/academics/faculty/profile?username=maiapd

https://sites.google.com/site/pedrodoriamaia/home

• Survival Analysis and Statistical Computing

• Survival Analysis; Cure Rate Modeling; Computational Statistics; Data Science; Statistical Machine Learning; Missing Data Imputation Based Estimation Algorithms; Cancer Treatment; Optimization Techniques; Wound Healing.

Learn more: https://www.uta.edu/academics/faculty/profile?user=suvra.pal

• Stochastic disease dynamics and control

• My specializations include partial differential equations (PDE), inverse problems in medical imaging and health sciences, with particular applications in detection and treatment of cancer.

Learn more: https://www.uta.edu/academics/faculty/profile?username=roys

https://roysouvik2.github.io/index.html

• Differential Geometry

• Hamiltonian Dynamical Systems

Learn more: https://www.uta.edu/academics/faculty/profile?user=bshipman

• Partial Differential Equations

• Computational Neuroscience

• Neuronal Dynamics

• His recent focus is data science in agriculture, EEG source reconstructions and brain dynamics, and inverse problems with applications in optical tomography. He has collaborated extensively with other scientists, engineers and medical doctors to pursue research in data-driven discovery and mathematical modeling in biomedical engineering, clinical science, neuroscience, agriculture and other areas.

Learn more: https://mentis.uta.edu/explore/profile/jianzhong-su

• Mathematical Statistics

Learn more: https://www.uta.edu/academics/faculty/profile?user=shan.sun

• Noncommutative Algebra and Noncommutative Algebraic Geometry

Learn more: https://www.uta.edu/academics/faculty/profile?user=vancliff

• Polynomial Optimization, low-rank tensor approximation, big data, structure learning

• Optimization and Data Science

Learn more: https://www.uta.edu/academics/faculty/profile?user=li.wang#About%20Me

• Bayesian Modeling and Learning

• Statistics in Artificial Intelligence

• Statistical Omics

• Meta-Analysis/Integrative Analysis

• Order Statistics-related Design, Theory and Inference

Learn more: https://www.uta.edu/academics/faculty/profile?user=xinlei.wang