My successful research project has finally ended on October 19, 2016. My current research will be financed by my START-prize, sponsored by the Austrian Science Fund (FWF). This prize is the austrian equivalent of an ERC-Starting Grant.

Research project funded by the FWF

My successful research project has finally ended on October 19, 2016. My current research will be financed by my START-prize, sponsored by the Austrian Science Fund (FWF). This prize is the austrian equivalent of an ERC-Starting Grant.

A new preprint of mine is now online. In these short notes, entitled *“ Rationality for isobaric automorphic representations: The general case“,* I prove an extension of the main rationality result for ciritical values of Rankin-Selberg \(L\)-functions \(L(s,\Pi\times\Pi’)\) of section 3 in my paper with M. Harris. This extension concerns two major ingredients: Firstly, I generalize the ground-fields \(F\)

My paper with M. Harris and E. Lapid “*Whittaker rational structures and special values of the Asai L-function*” is now to appear in Contemp. Math.

My paper with M. Harris, “*Whittaker periods, motivic periods, and special values of tensor product L-functions*” is now to appear in *J. Inst. Math. Jussieu.*

Furthermore, another preprint of mine (with an appendix of N. Matringe) went online. It is entitled “*A rationality result for the exterior and the symmetric square L-function*” and submitted for publication.

In October 2014, I was habilitated at the Faculty of Mathematics, University of Vienna, Austria.

Some updates have been made: E.g., my paper “*A cohomological injectivity result for the residual automorphic spectrum of GL(n)*” has meanwhile appeared in the Pacific J. Math. and my paper “*A note on the arithmetic of residual automorphic representations of reductive groups*” is now in print.

Moreover, Michael Harris, Erez Lapid and I have written a joint article “*Whittaker rational structures and special values of the Asai L-function”, *which is now available online via the according link in *Project Publications.*

This is the webpage of the FWF Research Project, *“Automorphic forms, periods and L-values”, * P 25974.

Contents will grow as time evolves.

H.G.