# Geometry, Topology and Mathematical Physics

Geometry and topology are branches of pure mathematics that constitute a highly active area of central importance in the current mathematical landscape. Geometry is one of the most ancient academic disciplines. Geometers and topologists are concerned with the shape, size and abstract properties of spaces and spatial relationships. Mathematical physicists give a rigorous mathematical framework to physical theories of the natural world.

Modern research in geometry, topology and mathematical physics includes many subdisciplines that employ techniques from neighboring branches of mathematics, including algebra and representation theory, combinatorics and discrete mathematics, or analysis.

## Research and Application

Our research group has interests in algebraic geometry, low-dimensional topology and knot theory, geometric measure theory and analysis, string theory and conformal field theory. Members of our department also investigate the applications of these areas to the study of structures in theoretical physics, quantum computing, superconductivity, molecular biology and materials science.

## Faculty

- Marco Aldi, Ph.D.
- Allison Moore, Ph.D.
- Nicola Tarasca, Ph.D.
- Ihsan Topaloglu, Ph.D.