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Abhishek SahaGraduate studentAdvisor: Dinakar Ramakrishnan
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Current and Upcoming
- I have accepted a postdoctoral position at ETH Zurich. My employment begins on September 1.
- I will be travelling for much of the summer, including a trip to Hawaii in June and a road trip around the States in July.
Research Interests
- My research field is number theory. I am particularly attracted to this field because of the long history and deceptively simple nature of its motivating problems, the underlying richness of the modern theory and the unifying nature of its central conjectures.
- Central to my research are modular forms and their generalizations (collectively referred to as automorphic forms). My recent work is concerned with integral representations and special value results for the degree eight L-function associated to a pair (F, g) where F is a holomorphic genus 2 Siegel newform and g a holomorphic classical newform.
Preprints
- Pullbacks of Eisenstein series from GU(3,3) and critical L-values for GSp(4) × GL(2)
Submitted.
Papers - published or accepted
- L-functions for holomorphic forms on GSp(4) × GL(2) and their special values
Int. Math. Res. Notices, 2009(10):1773--1837, 2009.
Download a slightly longer version which gives more computational details:
- Hilbert modular forms of weight 1/2 and theta functions (with S. Achimescu)
J. Number Theory, 128(12):3037--3062, 2008.
- Sums of powers of the primitive roots of a prime
Resonance, 7(2):86--89, 2002.
Talks
- Number Theory Seminar, UC San Diego, February 12 2009.
- ETH Zurich, January 15 2009.
- Karcher Colloquium, University of Oklahoma, September 4 2008.
- OU-OSU Automorphic Forms Seminar, Oklahoma State University, September 3 2008.
Teaching
- I am currently not teaching any courses.
- Click here for a list of previous courses I have taught or graded.
Pictures
- Click here for some pictures from various places.