Dr Abhishek Saha
Lecturer in Number Theory
Email: abhishek.saha@qmul.ac.ukTelephone: +44 (0)20 7882 3914Room Number: Queens’ Building, Room: CB312Website: http://www.maths.qmul.ac.uk/~asaha/ Office Hours: Please email for an appointment
Profile
Abhishek Saha is a Lecturer in Number Theory at Queen Mary University of London, School of Mathematical Sciences. As of 2018-2019, Saha is also the Deputy Director of Research in the School of Mathematical Sciences at Queen Mary.
Prior to joining Queen Mary, he was a Lecturer in Number Theory at the University of Bristol. He obtained his PhD from the California Institute of Technology in 2009.
Saha's research interests include number theory and automorphic forms, with close connections to spectral theory, representation theory, and geometry. 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.
Research
Research Interests:
Number theory, classical and higher rank modular forms, representations of p-adic groups, automorphic representations, L-functions
Publications
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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). Local and global Maass relations Mathematische Zeitschrift.
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(2017). Hybrid sup-norm bounds for Maass newforms of powerful level Algebra and Number Theory.
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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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(2013). Yoshida lifts and simultaneous non-vanishing of dihedral twists of modular L -functions Journal of the London Mathematical Society.
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(publicationYear). A relation between multiplicity one and Bocherer's conjecture The Ramanujan Journal.
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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.