Analysis

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

Dr Philippe Charron, Postdoctoral Research Fellow
Dr Jonah Duncan, Postdoctoral Research Fellow
Dr Yan-Long Fang, Postdoctoral Research Fellow
Dr Steven Flynn, Postdoctoral Research Fellow 
Dr Jeffrey Galkowski, Associate Professor in Pure Mathematics
Dr Antoine Gansemer, Postdoctoral Research Fellow
Dr Selim Ghazouani, Lecturer in Pure Mathematics
Prof Rod Halburd, Professor of Mathematics
Associate Prof Mahir Hadzic, Associate Professor in Mathematics
Dr Mikhail Karpukhin, Lecturer in Pure Mathematics
Dr Beatriz Navarro Lameda, Lecturer (Teaching)
Dr Yilin Ma, Postdoctoral Research Fellow
Dr Marcello Malagutti, Postdoctoral Research Fellow
Dr Felipe Marceca, Postdoctoral Research Fellow
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
Dr Alexander Walker, Heilbronn Research Fellow

Useful links

MPhil/PhD Applications