# Dr Tobias Berger

 Position: Senior lecturer Home page: http://tberger.staff.shef.ac.uk/ Email: T.T.Berger@shef.ac.uk Telephone: work (0114) 2223791 Office: J9 Hicks building

## Teaching:

 MAS406 Mathematics and Statistics Project Information MAS430 Analytic Number Theory Information

## Research:

 Interests: Cohomology of arithmetic groups, automorphic forms, Galois representations, Bloch-Kato conjecture Research group: Number Theory Publications: ArXiv, MathSciNet

### Grants

 Past grants, as Principal Investigator Deformations of Saito-Kurokawa type Galois representations EPSRC Paramodularity Conjecture Travel Grant LMS Arithmetic applications of Kudla-Millson theta lifts EPSRC

## Roles:

My research area is algebraic number theory, more precisely the connections between modular forms and Galois representations and applications of this, in particular, to conjectures about special values of $L$-functions. Establishing the precise links between modular forms (or more generally, automorphic representations) and Galois representations is part of the famous programme designed by Langlands that spans number theory, algebraic geometry and representation theory. My particular focus is the study of automorphic forms and Galois representations over imaginary quadratic fields, an interesting case in which previously developed tools from algebraic geometry are not applicable. This case is therefore an important testing ground for finding new techniques that could apply in the general context of the Langlands programme.