Dr. Matt Insall

Logic, nonstandard methods, nonstandard models, algebra, topological algebra, topological model theory

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

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

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

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