• nonlinear partial differential equations
• machine learning
• computational mathematics
• fluid dynamics
• applications in biology and engineering

General Areas of Research
Statistics and Probability

Specific Research Interest
Recurrent event data analysis, stochastic processes, survival analysis

General Areas of Research
Differential and Difference Equations

Specific Research Interest
The Theory of Time Scales (Unification of Continuous and Discrete Analysis),  Infectious Disease Modeling on Time Scales (HIV-1, Swine Flu, Tuberculosis, COVID-19), Oscillation Theory, Dynamical Systems, Inequalities, Stability Theory, Boundary Value Problems, Control Theory

General Areas of Research
Analysis, Differential and Difference Equations

Specific Research Interest
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

Specific Research Interest
Resampling methods, Inference for High Dimensional Data, Time Series, Statistical Analysis of Real-Life Networks, Neuroimaging, Survey Methodology.

General Areas of Research
Differential and Difference Equations, Scientific Computing and Numerical Analysis

Specific Research Interest
Interface problems, multi-phase problems, computational fluid dynamics, computational plasma physics, data assimilation, stochastic PDE's, boundary integral equations, feedback control, Finite element methods, domain decomposition methods, lattice Boltzmann methods, extrapolations 

General Areas of Research

Numerical Analysis, Numerical PDEs, Applied and Computational Mathematics, Deep Learning. 

General Areas of Research
Differential and Difference Equations, Statistics and Probability

Specific Research Interest
Stochastic Analysis, Stochastic Differential Equations, Random Dynamical Systems, (Stochastic) Partial Differential Equations, High-dimensional statistics, statistical machine learning, optimization

General Areas of Research
Computational Mathematics and Applied Mathematics with the main focus on Numerical Analysis, Partial Differential Equations, Optimal transport, Optimization, and Scientific Computing

General Areas of Research
Statistics and Probability

Specific Research Interest
Statistical genomics and epigenomics, hidden Markov models, modeling dependent data, mixed models

General Areas of Research
Statistics and Probability

Specific Research Interest
Causal inference, data science, statistical shape analysis, topological data analysis

General Areas of Research
Differential and Difference Equations, Scientific Computing and Numerical Analysis

Specific Research Interest
Data-driven model order reduction of partial differential equations (PDEs), computational methods for control of PDEs, applications in control theory, engineering, and the sciences

General Areas of Research
Statistics and Probability

Specific Research Interest
Nonlinear and nonparametric regression, regression graphics, computational statistics and statistical genetics, with an emphasis on sufficient dimension reduction in the context of regression

• Optimization over probability measures
• Emergency response and resource allocation
• Mean-field control and multi-agent coordination
• Experimental design
• Simulation-based and derivative-free optimization
• Optimization in machine learning

General Areas of Research
Differential and Difference Equations, Scientific Computing and Numerical Analysis

Specific Research Interest
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