Dr Abhishek Saha
Reader in Mathematics
Email: abhishek.saha@qmul.ac.ukTelephone: +44 (0)20 7882 3914Room Number: Mathematical Sciences Building, Room: MB-514Website: http://www.maths.qmul.ac.uk/~asaha/ Office Hours: Please email for an appointment
Profile
Research
Research Interests:
Abhishek Saha's research interests include number theory, automorphic forms, classical and higher rank modular forms, representations of p-adic groups, automorphic representations, and L-functions. Broadly speaking, his current research has two main directions. One direction deals with the analytic properties of automorphic forms and their associated L-functions. The other direction investigates the arithmetic and algebraic properties of cohomological automorphic representations, especially those coming from classical or Siegel modular forms. Thus, Saha straddles a uniquely broad research portfolio, with expertise in the areas of modular forms, algebraic number theory, modern representation theoretic methods, as well as techniques of analytic number theory.
For a full list of his publications, click here.
Saha's research group currently includes two PDRAs, Han Wu and Jesse Jaasaari, as well as two PhD students, Félicien Comtat and Tim Davis.
Publications
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(publicationYear). On the standard $L$-function for $GSp_{2n} \times GL_1$ and algebraicity of symmetric fourth $L$-values for $GL_2$ Annales mathématiques du Québec.
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(2020). Explicit refinements of Böcherer's conjecture for Siegel modular forms of squarefree level Journal of the Mathematical Society of Japan.
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(2019). Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces Mathematische Annalen.
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(2019). On the order of vanishing of newforms at cusps Mathematical Research Letters.
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(2019). Some analytic aspects of automorphic forms on GL(2) of minimal type Commentarii Mathematici Helvetici.
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(2017). On sup-norms of cusp forms of powerful level Journal of the European Mathematical Society.
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(2017). A note on the growth of nearly holomorphic vector-valued Siegel modular forms Contributions in Mathematical and Computational Sciences.
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(2017). Hybrid sup-norm bounds for Maass newforms of powerful level Algebra and Number Theory.
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(2017). Local and global Maass relations Mathematische Zeitschrift.
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(2016). Large Values of Newforms on GL(2) with Highly Ramified Central Character International Mathematics Research Notices.
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(2014). Bounds for Rankin--Selberg integrals and quantum unique ergodicity for powerful levels Journal of the American Mathematical Society.
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(publicationYear). A relation between multiplicity one and Bocherer's conjecture The Ramanujan Journal.
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(2013). Yoshida lifts and simultaneous non-vanishing of dihedral twists of modular L -functions Journal of the London Mathematical Society.
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(2012). Local spectral equidistribution for Siegel modular forms and applications Compositio Mathematica.
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(publicationYear). L-Functions for Holomorphic Forms on GSp(4) x GL(2) and Their Special Values International Mathematics Research Notices.
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(2008). Hilbert modular forms of weight 1/2 and theta functions Journal of Number Theory.