Current Faculty Research Areas

Algebra, Discrete Mathematics, and Topology

Dr. Matt Insall
Logic, nonstandard methods, nonstandard models, algebra, topological algebra, topological model theory

Analysis

Dr. Stephen Clark
Analysis, Operator theory

Dr. David Grow
Analysis, Fourier analysis, lacunary series

Dr. Martin Bohner 
Ordinary differential equations, dynamic equations on time scales, difference equations, Hamiltonian systems, variational analysis, boundary value problems, control theory, oscillation, analysis, fractional equations, applications to biology and economics

Dr. Vy Le
Nonlinear differential equations, bifurcation, and calculus of variations

Dr. Jason Murphy
Harmonic analysis, nonlinear differential, inverse problems

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, analysis, fractional equations, applications to biology and economics

Dr. Stephen Clark
Analysis, operator theory, spectral theory of linear operators associated with symplectic, Hamiltonian and Dirac differential and difference equations.

Dr. David Grow
Analysis, Fourier analysis, lacunary series

Dr. Xiaoming He
Interface problems, multi-phase problems, computational fluid dynamics, computational plasma physics, data assimilation, stochastic PDEs, boundary integral equations, feedback control; Finite element methods, domain decomposition methods, lattice Boltzmann methods, extrapolations

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, nonlinear partial differential equations, inverse problems

Dr. John Singler
Data-driven model order reduction of partial differential equations (PDEs), computational methods for control of PDEs, applications in control theory, engineering, and the sciences

Dr. Xiaoming Wang
Modern applied and computational mathematics and machine learning, with applications in fluid dynamics, groundwater research, geophysical fluid dynamics and turbulence, material science

Dr. Yanzhi Zhang
Fractional PDEs and nonlocal models, anomalous diffusion, data-informed modeling for seismic waves, machine learning algorithms and applications, Bose–Einstein superfluids, superconductivity, multiscale/multiphysics modeling and simulations, numerical dispersive PDEs

 

Scientific Computing and Numerical Analysis

Dr. Xiaoming He
Interface problems, multi-phase problems, computational fluid dynamics, computational plasma physics, data assimilation, stochastic PDEs, boundary integral equations, feedback control; Finite element methods, domain decomposition methods, lattice Boltzmann methods, extrapolations

Dr. John Singler
Data-driven model order reduction of partial differential equations (PDEs), computational methods for control of PDEs, applications in control theory, engineering, and the sciences

Dr. Xiaoming Wang
Modern applied and computational mathematics and machine learning, with applications in fluid dynamics, groundwater research, geophysical fluid dynamics and turbulence, material science

Dr. Yanzhi Zhang
Fractional PDEs and nonlocal models, anomalous diffusion, data-informed modeling for seismic waves, machine learning algorithms and applications, Bose–Einstein superfluids, superconductivity, multiscale/multiphysics modeling and simulations, numerical dispersive PDEs

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
Causal inference, data science, 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