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Research Groups

The department’s research activities encompass a wide range of applied mathematics and statistics. These set the tone for the faculty’s individual and collaborative research, the master’s doctoral dissertations of the graduate students, and a very active undergraduate research program.

Some, but certainly not all, of the faculty’s research interests are listed in the groupings below in no particular order.

Numerical Analysis and Computational Mathematics

Andrei Draganescu
Numerical analysis, PDE-constrained optimization
Matthias Gobbert
Numerical analysis, scientific and parallel computing, industrial and computational mathematics
Florian Potra
Numerical optimization, simulation of multibody systems, numerical solution of nonlinear differential and integral equations, bioinformatics
Muruhan Rathinam
Numerical approximation of stochastic dynamical systems, stochastic dynamics in biochemistry and financial markets, geometric nonlinear control theory
Rouben Rostamian
Partial differential equations, mathematical modeling, fluid and solid mechanics, programming of computational algorithms
Bedřich Sousedík
Computational mathematics, numerical analysis, scientific computing, uncertainty quantification, stochastic finite elements, domain decomposition, multigrid
Manil Suri
Numerical analysis, partial differential equations

Differential Equations and Dynamical Systems

Animikh Biswas
Analysis of PDEs, mathematical fluid dynamics
Matthias Gobbert
Numerical analysis, scientific and parallel computing, industrial and computational mathematics
Kathleen Hoffman
Calculus of variations, differential equations, mathematical biology, singular perturbation theory
Jacob Kogan
Control theory, optimization, data/text mining, machine learning
James Lo
Computational intelligence, intelligent systems, neural networks approach to systems control and signal processing, stochastic systems
Brad Peercy
Mathematical biology, differential equations, bifurcation theory, perturbation theory
Florian Potra
Numerical optimization, simulation of multibody systems, numerical solution of nonlinear differential and integral equations, bioinformatics
Muruhan Rathinam
Numerical approximation of stochastic dynamical systems, stochastic dynamics in biochemistry and financial markets, geometric nonlinear control theory
Rouben Rostamian
Partial differential equations, mathematical modeling, fluid and solid mechanics, programming of computational algorithms
Thomas Seidman
Control theory, non-linear partial differential equations, inverse problems
Jinglai Shen
Control theory, nonsmooth switching systems, continuous and dynamic optimization, nonlinear and geometric control theory

Mathematical Modeling and Simulation

Matthias Gobbert
Numerical analysis, scientific and parallel computing, industrial and computational mathematics
Kathleen Hoffman
Calculus of variations, differential equations, mathematical biology, singular perturbation theory
Hye-Won Kang
Stochastic modeling, analysis, and simulation of biological systems
Brad Peercy
Mathematical biology, differential equations, bifurcation theory, perturbation theory
Florian Potra
Numerical optimization, simulation of multibody systems, numerical solution of nonlinear differential and integral equations, bioinformatics
Muruhan Rathinam
Numerical approximation of stochastic dynamical systems, stochastic dynamics in biochemistry and financial markets, geometric nonlinear control theory
Rouben Rostamian
Partial differential equations, mathematical modeling, fluid and solid mechanics, programming of computational algorithms
Thomas Seidman
Control theory, non-linear partial differential equations, inverse problems

Mathematical Biology

Matthias Gobbert
Numerical analysis, scientific and parallel computing, industrial and computational mathematics
Kathleen Hoffman
Calculus of variations, differential equations, mathematical biology, singular perturbation theory
Hye-Won Kang
Stochastic modeling, analysis, and simulation of biological systems
Brad Peercy
Mathematical biology, differential equations, bifurcation theory, perturbation theory

Optimization and Control

Muddappa Gowda
Applied analysis, optimization
Osman Guler
Convex programming, computational complexity, interior-point methods, mathematical programming
Jacob Kogan
Control theory, optimization, data/text mining, machine learning
James Lo
Computational intelligence, intelligent systems, neural networks approach to systems control and signal processing, stochastic systems
Florian Potra
Numerical optimization, simulation of multibody systems, numerical solution of nonlinear differential and integral equations, bioinformatics
Thomas Seidman
Control theory, non-linear partial differential equations, inverse problems
Jinglai Shen
Control theory, nonsmooth switching systems, continuous and dynamic optimization, nonlinear and geometric control theory

Probability and Stochastic Processes

Thomas Armstrong
Functional analysis and measure theory, probability, mathematical economics
Hye-Won Kang
Stochastic modeling, analysis, and simulation of biological systems
Weining Kang
Probability theory, stochastic processes, and their applications
Muruhan Rathinam
Numerical approximation of stochastic dynamical systems, stochastic dynamics in biochemistry and financial markets, geometric nonlinear control theory

Computational Statistics

Nagaraj Neerchal
Time series analysis, overdispersion models, environmental statistics, data analysis
Anindya Roy
Time series, econometrics, multivariate methods, mathematical finance

Bayesian Statistics

Anindya Roy
Time series, econometrics, multivariate methods, mathematical finance
Bimal Sinha
Multivariate analysis, statistical inference, linear models, decision theory, robustness and asymptotic theory

Decision Theory and Inference

Yaakov Malinovsky
Design theory, stochastic ordering, sampling, group testing, and nonparametric methods
Thomas Mathew
Inference in mixed models, multivariate analysis, exposure data analysis, tolerance regions, bioequivalence testing
Bimal Sinha
Multivariate analysis, statistical inference, linear models, decision theory, robustness and asymptotic theory

Environmental Statistics

Nagaraj Neerchal
Time series analysis, overdispersion models, environmental statistics, data analysis
Bimal Sinha
Multivariate analysis, statistical inference, linear models, decision theory, robustness and asymptotic theory

Multivariate Statistics

Thomas Mathew
Inference in mixed models, multivariate analysis, exposure data analysis, tolerance regions, bioequivalence testing
Bimal Sinha
Multivariate analysis, statistical inference, linear models, decision theory, robustness and asymptotic theory

Time Series Analysis

James Lo
Computational intelligence, intelligent systems, neural networks approach to systems control and signal processing, stochastic systems
Nagaraj Neerchal
Time series analysis, overdispersion models, environmental statistics, data analysis
Anindya Roy
Time series, econometrics, multivariate methods, mathematical finance