Geometry and Physics

Where do Mathematics and Physics meet?

Here you can find some of the cutting-edge research that explores the boundary of the two subjects here at Uppsala University. 

We are a group of physicists and mathematicians working at Mathematics Department and the Theoretical Physics division of the Department of Physics and Astronomy.

About us

In the last twenty years, thanks to the prominent role of string theory, the interaction between mathematics and physics has led to significant progress in both subjects. String theory, as well as quantum field theory, has contributed to a series of profound ideas which gave rise to entirely new mathematical fields and revitalized older ones.

From a mathematical perspective some examples of this fruitful interaction are the Seiberg-Witten theory of four-manifolds, the discovery of Mirror Symmetry and Gromov-Witten theory in algebraic geometry, the study of Jones polynomial in knot theory, the advances in low dimensional topology and the recent progress in geometric Langlands program.

From a physical point of view, mathematics has provided physicists with powerful tools to develop their research. To name a few examples, index theorems of differential operators, toric geometry, K-theory and Calabi-Yau manifolds.

The main focus of the research in Geometry and Physics at our departments regards the following areas:

  • Contact geometry and supersymmetric theories

  • Enumerative geometry, representaiton theory, and correspondences

  • Symplectic geometry and topological strings

  • Symplectic geometry and physics interactions with low-dimensional topology

  • Higher structures in quantum field theories and their interplay with geometry

Links to our department websites

Last modified: 2023-11-08