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