Tobias Berger


Lecturer

University of Sheffield, School of Mathematics and Statistics

E-mail: tberger(at)cantab(dot)net

New address from 20 September 2010:
School of Mathematics and Statistics, University of Sheffield, Hicks Building, Hounsfield Road, Sheffield S3 7RH

My webpage will move to here

Research Interests: Cohomology of arithmetic groups, automorphic forms, Galois representations, Bloch-Kato conjecture

 Picture of Tobias Berger

Publications and Preprints

(Note that the versions presented here may differ slightly from the published versions. Please contact me for latest version of preprints.)
  • An Eisenstein ideal for imaginary quadratic fields (PhD thesis, University of Michigan 2005) pdf
  • Denominators of Eisenstein cohomology classes for GL(2) over imaginary quadratic fields (manuscripta mathematica 125 (2008), 427-470) pdf
  • On the Eisenstein ideal for imaginary quadratic fields (Compositio Mathematica 145(3) (2009), 603-632) pdf
  • l-adic representations associated to modular forms over imaginary quadratic fields (joint with Gergely Harcos, Int. Math. Res. Not. 23 (2007), Art. ID rnm113, 16pp.) pdf
  • A deformation problem for Galois representations of imaginary quadratic fields
    • (joint with Kris Klosin, Journal de l'Institut de Math. de Jussieu 8(4) (2009), 669-692) pdf © Cambridge University Press.
  • Arithmetic properties of theta lifts (preprint) arXiv
  • An R=T theorem for imaginary quadratic fields (joint with Kris Klosin, to appear in Mathematische Annalen) pdf
    • The original publication is available at www.springerlink.com - click here to access the published version.
  • On deformation rings of (n-dimensional) residually reducible Galois representations and R^{red}=T theorems (joint with Kris Klosin, in preparation.)

Education and Experience

  • 1996-1999 BA(Hons)/MA Mathematics, Queens' College, University of Cambridge, England
  • 1999-2000 Certificate of Advanced Study (Part III), Queens' College, University of Cambridge, England
  • 2000-2005 PhD University of Michigan, Ann Arbor, USA, Advisor: Chris Skinner
  • 2005-2006 Post-doc, Max Planck Institute, Bonn, Germany
  • 2005-2008 Research Fellow, Queens' College, University of Cambridge, England
  • 2008-2010 College Lecturer and Assistant Director of Studies, Queens' College

Links


Talks


Teaching

Modular Forms (Lent 2007)