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
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

Show: Featured publications All publications

Journal articles

  • 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, 372(11), 8043-8065.
  • 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.

Preprints

  • Berger T & Betina A (2019) .

All publications

Journal articles

  • Berger T, Brown J & Klosin K (2025) . Canadian Journal of Mathematics.
  • Berger T & Klosin K (2023) . Transactions of the American Mathematical Society, 376, 8095-8128.
  • Berger T & Bertina A (2022) . Annales de l'Institut Fourier, 72(3), 901-961.
  • Berger T & Weiss A (2022) . manuscripta mathematica, 168(1-2), 225-256.
  • Berger T & Klosin K (2021) . Research in Number Theory, 7.
  • Berger T & Klosin K (2020) . American Journal of Mathematics, 142(6), 1821-1875.
  • Berger T & Klosin K (2019) . Transactions of the American Mathematical Society, 372(11), 8043-8065.
  • 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 (2009) . COMPOS MATH, 145(3), 603-632.
  • Berger T & Klosin K (2009) . J INST MATH JUSSIEU, 8(4), 669-692.
  • Berger T (2008) . MANUSCRIPTA MATH, 125(4), 427-470.
  • Berger T & Harcos G (2007) . INT MATH RES NOTICES.

Preprints

  • Berger T & Weiss A (2020) , arXiv.
  • Berger T & Klosin K (2020) , arXiv.
  • Berger T & Betina A (2019) .
  • Berger T & Klosin K (2018) , arXiv.
  • Berger T & Klosin K (2017) , arXiv.
  • Berger T & Klosin K (2016) , 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.
Research group

Grants

Current grants, as Principal Investigator
EPSRC

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

Links