Harald Grobner

Principal Investigator

Personal:
Date of birth: 4th December 1980
Nationality: Austria
Academic titles: Priv.-Doz. (Habilitation), Ph. D., M. S.

Professional Address:
Faculty of Mathematics
University of Vienna
Oskar-Morgenstern-Platz 1
A-1090 Wien
AUSTRIA
Email
Homepage 

Main areas of research:
My main scientific interests are located within the vital area of cohomological automorphic forms and their applications to number theory. I am particularly interested in the arithmetic and analytic theory of L-functions. This includes local and global representation theory and aspects in the geometry of arithmetically defined varieties.

Academic Education:

  • Oct 2014: Priv.-Doz. (Habilitation) at the Faculty of Mathematics, University of Vienna, Austria
  • March 2008: Dr. rer. nat. (Ph. D.) with highest possible honours (sub auspiciis praesidentis rei publicae)
  • 2005 – 2007: Ph. D. student, at the Faculty of Mathematics, University of Vienna, Austria.
    Thesis: On the Cohomology of Arithmetic Subgroups of Sp(2,2) and its maximal Levi Subgroups
    Advisor: Joachim Schwermer
  • 2005: ERASMUS-stay at the University Paris VI, France.
  • Jan 2005: Mag. rer. nat. (M. S.) with highest honours
  • 2000 – 2005: Diploma student, Faculty of Mathematics, University of Vienna, Austria.

Career Development:

  • Aug 2016 – current: Permanent member of the Faculty of Mathematics, University of Vienna, Austria, and head of the START-prize Y966 of the the Austrian Science Fund (FWF)
  • Oct 2013 – Oct 2016: Habilitated Project-Leader of the Research Project P25974 of the Austrian Science Fund (FWF) at the Department of Mathematics, University of Vienna, Austria
  • Oct 2012 – Oct 2013: Senior Post-Doc and Project-Leader of the Erwin Schrödinger Grant J3076 of the Austrian Science Fund (FWF) at the Department of Mathematics, University of Vienna, Austria
  • Oct 2010 – Oct 2012: Postdoctoral Fellow at the Institut de mathématiques de Jussieu, Paris, France at the Max-Planck-Insitut für Mathematik, Bonn, Germany and at the Department of Mathematics, Oklahoma State University, OK, USA. Employed by the Schrödinger Grant J3076 of the Austrian Science Fund (FWF)
  • Jan 2009 – June 2010: Postdoctoral Research Assistant at the Department of Mathematics, University of Vienna, Austria. Employed by the Research Project P21090 of the Austrian Science Fund (FWF)
  • Jan 2008 – Dec 2008: Postdoctoral Fellow at the Erwin Schrödinger Institute for Mathematical Physics, Vienna, Austria and the Max-Planck-Insitut für Mathematik, Bonn, Germany
  • Jan 2007 – Dec 2007: Holder of a Research Scholarship funded by the University of Vienna, Austria. (grant no F124-N)
  • Jul 2006 – Dec 2006: Research Assistant at the Department of Mathematics, University of Vienna, Austria. Employed by the Research Project P16762 of the Austrian Science Fund (FWF)

Bibliography (For papers written in course of this project, see “Publications”):

Whittaker periods, motivic periods, and special values of tensor product L-functions (joint with M. Harris), J. Inst. Math. Jussieu 15 (2016) pp. 711-769

Whittaker rational structures and special values of the Asai L-function (joint with M. Harris and E. Lapid), Contemp. Math. 664 (2016) pp. 119-134

A note on the arithmetic of residual automorphic representations of reductive groups, Math. Res. Letters 22 (2015) pp. 93-109

A cohomological injectivity result for the residual automorphic spectrum of GL(n), Pacific J. Math. 268 (2014) pp. 33-46

On some arithmetic properties of automorphic forms of GL(m) over a division algebra (together with A. Raghuram) Int. J. Number Theory 10 (2014) pp. 963-1013

On the arithmetic of Shalika models and the critical values of L-functions for GL(2n) (together with A. Raghuram; with an appendix by Wee Teck Gan) Amer. J. Math. 136 (2014) pp. 675-728

Residues of Eisenstein Series and the Automorphic Cohomology of Reductive Groups, Compos. Math. 149 (2013) pp. 1061–1090

The residual Eisenstein Cohomology of Sp(4) over a totally real number field (together with N. Grbac), Trans. Amer. Math. Soc. 365 (2013) pp. 5199-5235

On the Eisenstein Cohomology of Odd Orthogonal Groups (together with G. Gotsbacher), Forum Math. 25 (2013) pp. 283-311

Automorphic Forms, Cohomology and CAP Representations. The Case GL(2) over a definite quaternion algebra, J. Ramanujan Math. Soc. 28 (2013) pp. 19-43

An Explicit Growth Condition for Middle-Degree Cuspidal Cohomology of Arithmetically Defined Quaternionic Hyperbolic n-Manifolds, Monatshefte Math. 159 (2010) pp. 335-340

Regular and Residual Eisenstein Series and the Automorphic Cohomology of Sp(2,2), Compos. Math. 146 (2010) pp. 21-57

The Automorphic Cohomology and the Residual Spectrum of Hermitian Groups of Rank One, Int. J. Math. 21 (2010) pp. 255-278

Links to all of the above papers can be found here.