# Analysis

Analysis is a broad branch of mathematics that encompasses many fields, generally sharing a basis in calculus. Historically, it has played a crucial role in solving problems in physics and engineering; recent years have seen surprising applications to solve problems in other mathematical fields like the Poincaré Conjecture in topology.

In our Department, research in analysis is conducted in various subfields: partial differential equations, dynamical systems, mathematical physics, geometric analysis, and ergodic theory.

**Partial Differential Equations & Dynamical Systems**

Maxim Braverman

Robert McOwen

Martin Schwarz

Peter Topalov

Solomon Jekel

Ting Zhou

**Mathematical Physics**

Maxim Braverman

Chris King

Martin Schwarz

**Geometric Analysis**

Maxim Braverman

Robert McOwen

Peter Topalov

**Ergodic Theory**

Stanley Eigen

Arshag Hajian