A lot of our research is concerned with the spectral theory (mostly of partial differential and difference equations). A significant proportion of our work concentrates on borderline areas between analysis and other fields, such as: geometry, number theory, mathematical physics and probability theory. More specifically, within our group we have people working in the following areas:

- Spectral geometry;
- Periodic and almost-periodic spectral problems;
- Toeplitz operators;
- Spectral theory of automorphic forms;
- Geometric scattering theory;
- Random operators;
- Matrix-valued operators (in particular, Dirac operators);
- Integrable systems;
- Nevanlinna Theory;
- Statistical Mechanics.

#### Group Members

**Academic Staff:**

Prof Rod Halburd, Professor of Mathematics

Prof Leonid Parnovski, Professor of Mathematics

Prof Yiannis Petridis, Professor of Mathematics

Dr Nadia Sidorova, Reader in Mathematics

Prof Alex Sobolev, Professor of Pure Mathematics

Prof Alan Sokal, Professor of Statistical Mechanics & Combinatorics

Prof Dmitri Vassiliev, Professor of Mathematics

**Researchers:**

Dr Ali Feizmohammadi

Dr Jean Lagace