Wednesday 10 December 2025

Machine learning applied to the physical sciences (especially identification and control of quantum systems), dynamics, mechanics, numerical methods, and scientific comuting

Harmonic analysis, geometric measure theory, and educational data analysis

Mathematical modeling of biological systems, uncertainty quantification, machine learning, deep-learning, data-science

Linear and nonlinear waves, solar-energy conversion, PDEs asymptopic analysis & perturbation methods

Fluid-structure interactions, multiphase flows, numerical methods for PDEs, applications in ecology and oceanography

Waves in random media, inverse problems, asymptotic analysis and perturbation methods

Stochastic modeling, scientific computing, computational fluid dynamics, machine-learning-based surrogate modeling, chemical applications

Low-dimensional topology and geometry, mathematics education

Nonlinear optimization, numerical linear algebra, compressed sensing, and image processing

Partial differential equations (degenerate elliptic equations, free boundary problems, mathematics education (student learning in introductory and bridge courses, anxiety in the mathematics classroom)

Large-scale inverse problems, PDE-constrained optimization, uncertainty quantification, optimal experimental design

Mathematical and computational biology, machine learning, functional genomics

Mathematical modeling of biological systems, machine learning, inverse problems

Imaging with waves in complex media with applications in remote sensing, geophysics, microwave imaging and optics

Numerical analysis, structure-preserving discretizations, Bayesian inference, Hamiltonian Mote Carlo, scientific computing and machine learning