# [draft] Analysis and PDEs

# Analysis and PDEs

The research conducted by the affiliated faculty covers a wide range of fields, including dynamical systems, ergodic theory, geometric analysis, harmonic analysis, mathematical physics, microlocal analysis, and partial differential equations. If you’d like to learn more about the seminars, conferences, and mini-schools organized by members of the research group, please explore the links provided below:

- Ergodic Theory Seminar
- M. E. Taylor Analysis and PDE Seminar
- NSF RTG: “Partial Differential Equations on Manifolds” Website

Ergodic theory, probability, harmonic analysis, operator theory

Geometric analysis, nonlinear partial differential equations

Partial differential equations, semiclassical analysis, mathematical physics, spectral theory, differential geometry

Partial differential equations, spectral geometry, microlocal analysis, quantum chaos

Partial differential equations and probabilistic models from fluid dynamics, material science, statistical and optical physics, and quantum mechanics

Partial differential equations, microlocal analysis

Partial differential equations, mathematical physics, continuum mechanics