Department of Mathematics

Fields, Strings and Geometry Group

The group members are primarily interested in fundamental aspects of quantum field theory, string theory and general relativity, and in the interplay between mathematics and physics in these theories.

Quantum field theory is a framework that combines the laws of quantum mechanics and special relativity in a self-consistent manner, and underpins most of theoretical physics today. General relativity is a highly successful theory describing gravity at large scales such as the solar system but, so far, it has remained incompatible with the laws of quantum mechanics.

Over the past thirty years, string theory has emerged as the leading candidate for a theory describing all the fundamental forces of nature, including gravity, in a single unified self-consistent quantum mechanical framework. It assumes that all particles are different harmonics of small vibrating strings, much in the way the different harmonics of a guitar string correspond to different musical notes. Surprisingly, even though it started as a theory of just strings, it also accommodates consistently in a non-perturbative manner higher-dimensional extended objects called branes.

There is a rich and fruitful interplay between quantum field theory and string theory, and mathematics. New and sophisticated mathematical techniques have rendered many problems in string theory and quantum field theory tractable and in certain cases even exactly soluble. Conversely, string theory has also led to striking advances and conjectures in mathematics.

It is this synthesis between theoretical physics and mathematics that forms the foundation of the group's research.

Research Areas

The group's research interests include the following:

  • String Compactifications and Mirror Symmetry
  • Black Holes
  • Brane Solutions
  • AdS/CFT Duality
  • Topological String Theory
  • Integrability
  • Twistor Geometry
  • Geometric Analysis

Publications

Please see the arXiv or INSPIRE for recent publications of the Fields, Strings and Geometry Group.

Postdoc Applications

Postdoctoral Fellowships

There are several external funding sources through various funding agencies (e.g. the EPSRC and STFC). Visit our Doctoral College site for more information. If you would like to apply for any of these fellowships with us, please do contact any of the group's academic staff well ahead of the deadline.

PhD Applications

The group is currently accepting PhD applications. Please refer to the department's PGR webpage for details as how to apply.

Academic Staff

Teaching Staff

PhD Students

Events

Fields, Strings, and Geometry Seminars
SGSTAD 2017
SEMPS5
QINT 2014
MOST 2014
SMUK 2013