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