Berger, Tobias, Dr

Dr Tobias Berger

School of Mathematical and Physical Sciences

Senior Lecturer in Number Theory

Chair of Examiners

t.t.berger@sheffield.ac.uk
+44 114 222 3791

J9, Hicks Building

Full contact details

Dr Tobias Berger
School of Mathematical and Physical Sciences
J9
Hicks Building
Hounsfield Road
91ֱ��
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 91ֱ�� 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

Show: Featured publications All publications

Berger T & Bertina A (2022) . Annales de l'Institut Fourier, 72(3), 901-961.
Berger T & Klosin K (2020) . American Journal of Mathematics, 142(6), 1821-1875.
Berger T & Klosin K (2019) . Transactions of the American Mathematical Society.
Berger T, Dembele L, Pacetti A & Sengun MH (2015) . Journal of the London Mathematical Society, 92(2), 353-370.
Berger T & Klosin K (2015) . International Mathematics Research Notices, 2015(20), 10525-10562.
Berger T, Klosin K & Kramer K (2014) . Mathematical Research Letters, 21(1), 71-82.

Berger T & Bertina A (2022) . Annales de l'Institut Fourier, 72(3), 901-961.
Berger T & Klosin K (2022) $R=T$ theorems for weight one modular forms. Transactions of the American Mathematical Society.
Berger T & Klosin K (2020) . American Journal of Mathematics, 142(6), 1821-1875.
Berger T & Klosin K (2019) . Transactions of the American Mathematical Society.
Berger T & Klosin K (2019) . Glasgow Mathematical Journal, 61(1), 85-114.
Berger T (2018) . International Journal of Number Theory, 14(5), 1329-1345.
Berger T, Dembele L, Pacetti A & Sengun MH (2015) . Journal of the London Mathematical Society, 92(2), 353-370.
Berger T & Klosin K (2015) . International Mathematics Research Notices, 2015(20), 10525-10562.
Berger T, Klosin K & Kramer K (2014) . Mathematical Research Letters, 21(1), 71-82.
Berger T (2014) . Manuscripta Mathematica, 143(3-4), 389-417.
Berger T & Klosin K (2012) . Mathematische Annalen, 1-38.
Berger TT & Klosin K (2010) . Mathematische Annalen, 349(3), 675-703.
Berger T & Klosin K (2009) . J INST MATH JUSSIEU, 8(4), 669-692.
Berger T (2009) . COMPOS MATH, 145(3), 603-632.
Berger T (2008) . MANUSCRIPTA MATH, 125(4), 427-470.
Berger T & Harcos G (2007) . INT MATH RES NOTICES.
Berger T & Klosin K () Irreducibility of limits of Galois representations of Saito-Kurokawa type. Research in Number Theory.
Berger T & Weiss A () Lafforgue pseudocharacters and parities of limits of Galois representations. manuscripta mathematica.

Berger T & Weiss A (2020) , arXiv.
Berger T & Klosin K (2020) Irreducibility of limits of Galois representations of Saito-Kurokawa type, arXiv.
Berger T & Betina A (2019) .
Berger T & Klosin K (2018) Modularity of residual Galois extensions and the Eisenstein ideal, arXiv.
Berger T & Klosin K (2017) Deformations of Saito-Kurokawa type and the Paramodular Conjecture (with an appendix by Cris Poor, Jerry Shurman, and David S. Yuen), arXiv.
Berger T & Klosin K (2016) On lifting and modularity of reducible residual Galois representations over imaginary quadratic fields, arXiv.
Berger T & Klosin K (2016) , arXiv.
Berger T, Dembele L, Pacetti A & Sengun MH (2014) , arXiv.
Berger T & Klosin K (2007) , arXiv.
Berger T (2007) , arXiv.
Berger T (2006) , arXiv.

Grants

Current grants, as Principal Investigator
	EPSRC
Past grants, as Principal Investigator
Paramodularity Conjecture Travel Grant	LMS
	EPSRC