# Current Faculty Research Areas

## Algebra and Discrete Mathematics

Dr. Matt Insall

Logic, nonstandard methods, nonstandard models, algebra

Dr. Ilene Morgan

Discrete mathematics and combinatorics, finite fields and their applications

## Analysis

Dr. Stephen Clark

Differential and difference equations, operator theory, direct and inverse spectral theory, inequalities

Dr. David Grow

Analysis, Fourier analysis, lacunary series

Dr. Vy Le

Nonlinear differential equations, bifurcation, and calculus of variations

## Differential and Difference Equations

Dr. Elvan Akin

Dynamic equations on time scales, differential equations, difference equations, oscillation, boundary value problems

Dr. Martin Bohner

Ordinary differential equations, dynamic equations on time scales, difference equations, Hamiltonian systems, variational analysis, boundary value problems, control theory, oscillation

Dr. Stephen Clark

Differential and difference equations, operator theory, direct and inverse spectral theory, inequalities

Dr. David Grow

Analysis, Fourier analysis, lacunary series

Dr. Xiaoming He

Finite elements, Interface problems, numerical methods for partial differential equations, computational fluid dynamics, computational electromagnetism, stochastic partial differential equations, extrapolations, boundary integral equations, feedback control

Dr. Wenqing Hu

Stochastic Analysis, Stochastic Differential Equations, Random Dynamical Systems, (Stochastic) Partial Differential Equations

Dr. Nan Jiang

Numerical Methods for Partial Differential Equations

Dr. Vy Le

Nonlinear differential equations, bifurcation, and calculus of variations

Dr. John Singler

Computational methods for reduced order modeling, control and sensitivity analysis of partial differential equations, numerical analysis, applied mathematics, fluid dynamics

Dr. Yanzhi Zhang

Multiscale modeling and simulations in material science, optimal control problems in superconductivity and superfluidity, Bose-Einstein condensation, quantized vortex dynamics, numerical algorithms for partial differential equations

## Scientific Computing and Numerical Analysis

Dr. Xiaoming He

Finite elements, Interface problems, numerical methods for partial differential equations, computational fluid dynamics, computational electromagnetism, stochastic partial differential equations, extrapolations, boundary integral equations, feedback control

Dr. Nan Jiang

Numerical Analysis, Computational Fluid Dynamics, Turbulence Modeling

Dr. John Singler

Computational methods for reduced order modeling, control and sensitivity analysis of partial differential equations, numerical analysis, applied mathematics, fluid dynamics

Dr. Yanzhi Zhang

Multiscale modeling and simulations in material science, optimal control problems in superconductivity and superfluidity, Bose-Einstein condensation, quantized vortex dynamics, numerical algorithms for partial differential equations

## Statistics and Probability

Dr. Akim Adekpedjou

Recurrent event data analysis, stochastic processes, survival analysis

Dr. Wenqing Hu

Probability, Stochastic Analysis, Stochastic Differential Equations, Random Dynamical Systems, (Stochastic) Partial Differential Equations

Dr. Gayla Olbricht

Statistical genomics and epigenomics, hidden Markov models, modeling dependent data, mixed models

Dr. Robert Paige

Statistical shape analysis

Dr. V. A. Samaranayake

Reliability, time series analysis, statistical applications in biology, economics, and engineering

Dr. Xuerong (Meggie) Wen

Nonlinear and nonparametric regression, regression graphics, computational statistics and statistical genetics, with an emphasis on sufficient dimension reduction in the context of regression

## Topology

Dr. Wlodzimierz Charatonik

Topology, continuum theory, hyperspaces and inverse limits

Dr. Matt Insall

Topological algebra, topological model theory

Dr. Robert Roe

Chaotic dynamical systems, topological dynamics, geometric topology, geometric analysis