# Topology and Geometry

Geometry is the study of figures in a space of a given number of dimensions and of a given type. Modern Geometry is a rapidly developing field, which vigorously interacts with other disciplines such as physics, analysis, biology, number theory, to name just a few. In recent years geometers encountered a significant number of groundbreaking results and fascinating applications. From progress in the Poincaré conjecture, geometric representation theory, quantization, to the mirror symmetry, string theory, applications in optics, biology, quantum computing — the ubiquity of geometry is impossible to overestimate. People in our group work in several important directions. We maintain strong contacts and collaboration with other groups in our department.

## Members

## Sergey Cherkis

## Hermann Flaschka

Professor, Mathematics

## David Glickenstein

Professor

## Jack Hall

## Yi Hu

## Anton Izosimov

## Jingchen Niu

## Douglas M Pickrell

Associate Professor, Mathematics

## Dulip Piyaratne

## Douglas L Ulmer

Professor, Mathematics