Dr Tobias Berger

School of Mathematics and Statistics

Senior Lecturer

NJTech tutor, Programme Leader: European Programmes, Tutor for Erasmus Students

T.T.Berger@shef.ac.uk
+44 114 222 3791

Full contact details

Dr Tobias Berger
School of Mathematics and Statistics
J9
Hicks Building
Hounsfield Road
Sheffield
S3 7RH
Profile

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.

Publications

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Journal articles

All publications

Journal articles

Research group

Number Theory

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