# Research

### Algebra, Geometry & Topology

Algebraic Geometry

Combinatorics

Commutative Algebra

Complex Manifolds

Lie Groups and Algebra

Mathematical Physics

Representation Theory

Singularity Theory

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### Analysis & PDEs

Complex Analysis

Dynamical Systems

Ergodic Theory

Harmonic Analysis

Operator Theory

Mathematical Relativity

Micro Local Analysis

Partial Differential Equations

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### Applied & Computational Math

Applied and Stochastic Analysis

Climate Modeling

Biophysics

Neuroscience

Computational Methods

Fluid Dynamics

Mathematical Biology

Material Science

Network Science

Nonlinear Optics

Soft and Active Matter

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