**Mohammad Akbar**

General theory of relativity, differential geometry, quantum gravity, Ricci flow.

**Larry Ammann**

Robust multivariate statistical methods, signal processing, statistical computing, applied probability, remote sensing.

**Maxim Arnold**

Asymptotic dynamics of large ensembles of particles, switching Hamiltonian systems, fluid dynamics.

Zalman Balanov

Professor

FO 2.408E

972-883-6591

balanov@utdallas.edu

**Zalman I. Balanov**

Nonlinear analysis (equivariant degree), dynamical systems with symmetries (bifurcation theory), mathematical theory of hysteresis, non-associative algebras.

**Michael Baron**

Sequential analysis, change-point problems, sequential methods in clinical trials, epidemiology, and finance.

**Swati Biswas**

Biostatistics, Statistical Genetics, Genetic Epidemiology, Cancer Genetics, Risk Prediction Models, Bayesian Clinical Trials.

**Yan Cao**

Medical image analysis, computational anatomy, computer vision, pattern theory, shape analysis and shape models.

**Bhargab Chattopadhyay**

U-Statistics, Nonparametric Methods, Applied Sequential Methods, Spatio-Temporal Modeling.

**Min Chen**

Genome wide association studies; eQTL mapping; Network based modeling; Next generation sequencing data analysis; Statistical preprocessing of genomic data; Cancer genetics/epigenetics; Integrative/meta analysis; Spatial modeling; Model selection; Ranked set sampling.

**Pankaj Choudhary**

Biostatistical inference, Statistical methodology, Method comparison studies.

**Mieczyslaw K. Dabkowski**

Knot invariants and 3-manifold invariants, applications of topology to biology, recursion theory.

**Ron Dearing**

Actuarial science, business analytics, economic decision analysis, multi-objective optimization decision problems under constraints using statistical simulation techniques, statistical analysis of discrete event modeling and simulation.

Vladimir Dragovic

Professor and Department Head

FO 2.410E

972-883-6402

MathDeptHead@utdallas.edu

**Vladimir Dragovic**

*Department Head*Integrable Dynamical Systems, Algebraic and Differential Geometry, applications to Classical and Statistical Mechanics.

**Sam Efromovich**

Information theory, optimization, probability, statistical inference, nonparametric curve estimation, time series analysis.

Yulia Gel

Yulia Gel

Time series analysis, spatio-temporal processes, regularization for weakly dependent data, high-dimensional inference, statistical inference for random graphs and networks, nonparametrics, bootstrap and resampling. Applications of statistics to environmental modeling, epidemiology, finance and legal studies.

**M. Ali Hooshyar**

Scattering theory, inverse scattering theory with geophysical and optical applications, fission.

Research Interests

**Qingwen Hu**

Dynamical systems; state-dependent delay differential equations and their applications in engineering and biology; equivariant degree theory and applications; nonlinear analysis; operations research.

**Natalia Humphreys**

Actuarial science, applied complex variable analysis, probability.

Frank Konietschke

Frank Konietschke

Nonparametric statistics, ranking procedures in factorial designs, multiple testing problems, resampling techniques, Biostatistics.

**Wieslaw Z Krawcewicz**

Topological methods in nonlinear analysis, symmetric differential equations and bifurcation problems.

Research Interests

**Yifei Lou**

Compressive sensing and its applications, Image analysis (medical imaging, hyperspectral, imaging through turbulence), numerical analysis and optimization algorithms.

**Wenyi**

**Lu**General research areas:

Actuarial science, statistics, assets and liabilities management, and experience study of insurance portfolio.

Research interests:

Statistical modeling of insurance portfolio, mathematics of financial instruments, and experience study of financial instruments.

**Oleg Makarenkov**

Nonsmooth dynamical systems, Moreau's sweeping processes, dispersing billiards, switching closed-loop control: oscillations, stability, bifurcations, regularization. Non-monotone population models.

**Susan Minkoff**

Scientific computing with primary emphasis to date on numerical modeling for geoscience problems (seismic imaging and wave propagation, reservoir simulation, and mechanical deformation modeling). Mathematics and numerical simulation to model the "real-world" as closely as possible given limitations in physics, mathematics, and computer science. Broad interests include not only earth science, but almost all physical,chemical, and biological problems that can benefit from the skills and insights of an applied mathematician.

**Tomoki Ohsawa**

Applications of differential geometry to problems in physics and engineering, particularly those problems described as Hamiltonian dynamical systems in a broad sense. They include semiclassical and quantum dynamics, nonholonomic dynamics, and optimal control theory.

**Felipe Pereira**

Mathematical modeling and numerical simulation of multiphase flows in porous media at the field, laboratory, and pore scales; Uncertainty quantification methods for applications related to CO2 storage, oil recovery, and contaminant transport; Pore network construction algorithms; Numerical methods for partial differential equations; High performance, parallel, scientific computing.

**Dmitry Rachinskiy**

Dynamical systems and systems with hysteresis, nonlinear analysis, applied mathematical modeling.

**Viswanath Ramakrishna**

Control, optimization, computation, applications in material and molecular sciences.

**Ivor Robinson**

General relativity theory, particularly exact solutions to Einstein's equations of gravitation. Gravitational radiation and the geometry of the null paths along which protons and gravitrons travel. He is currently working on twisting gravitational waves and on some applications of Clifford Algebra.

Robert Serfling

Robert Serfling

Statistical science, probability theory, stochastic processes, biostatistics, and related mathematics. Special focus on multivariate quantile and rank methods, nonparametric methods, functional data analysis, outlier detection, heavy tailed time series, asymptotic methods, and probability modeling for interpretation of prostate cancer biopsy results.

**Qiongxia (Joanne) Song**

Statistical inference, nonparametric methods, confidence bands problems, time-series analysis, probability theory.

**Anh Tran**

Quantum Topology and Knot Theory. I am particularly interested in the Jones polynomial, skein modules, character varieties, the A-polynomial, the Alexander polynomial, and left-orderability of fundamental groups.

**Janos Turi**

Functional differential equations, integral equations, approximation theory, optimal control theory, numerical analysis, applied functional analysis.

**John Van Ness**

Robust linear models, statistical classification, multivariate analysis, applications of statistics to the physical and medical sciences.

**Celestin Picasso Zemtsop**

Multiscale modeling and simulation of subsurface flows in porous media. Parallel implementation of numerical methods for partial differential equations.

**John Zweck**

Modeling, analysis, simulation, experimental validation, and design optimization of high performance optical systems and devices; Image analysis and applications of differential geometry.

- Updated: December 21, 2015