Dr Tobias Berger


Position: Lecturer
Home page: http://tberger.staff.shef.ac.uk/
Email:
Telephone: (0114) 2223791
Office: J9 Hicks building
Photo of Tobias Berger

Teaching:

MAS346 Groups and Symmetry Information Home page (also MOLE)


Research:


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

Grants

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

Biography:

I received my Ph.D. at the University of Michigan in 2005, studying under Chris Skinner. After a year at the Max-Planck-Institute in Bonn I spent four years at Queens' College, Cambridge, as a Junior Research Fellow and College Lecturer. I joined the University of Sheffield as a lecturer in autumn 2010.

Research interests:

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.