Professor Abhishek Saha
Professor of Mathematics, Deputy Director of Research
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 three PDRAs: Han Wu, Jesse Jaasaari, and Biplab Paul as well as three PhD students: Félicien Comtat, Tim Davis, and Osmundur Justinussen.
Publications
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(2021). Lowest weight modules of Sp4(R) and nearly holomorphic Siegel modular forms Kyoto Journal of Mathematics.
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(2020). Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces, II: newforms and subconvexity Compositio Mathematica.
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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). Transfer of Siegel cusp forms of degree 2 Memoirs of the American Mathematical Society.
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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.