**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.