Current Faculty Research Areas
Algebra and Discrete Mathematics
Dr. Matt Insall
Logic, nonstandard methods, nonstandard models, algebra
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
Dr. Jason Murphy
Harmonic analysis and nonlinear dispersive PDEs
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. Daozhi Han
Applied analysis of PDEs, numerical analysis and computation, fluid dynamics
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. Vy Le
Nonlinear differential equations, bifurcation, and calculus of variations
Dr. Jason Murphy
Harmonic analysis and nonlinear dispersive PDEs
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. Daozhi Han
Applied analysis of PDEs, numerical analysis and computation, fluid dynamics
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. 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
High-dimensional statistics, statistical machine learning, optimization
Dr. Gayla Olbricht
Statistical genomics and epigenomics, hidden Markov models, modeling dependent data, mixed models
Dr. Robert Paige
Statistical shape analysis, topological data 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