Professor Abhishek SahaProfessor of Mathematics, REF and Reputation leadEmail: 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 appointmentProfileResearchPublicationsProfileAbhishek Saha is a Professor of Mathematics at the School of Mathematical Sciences. His research interests lie in number theory and automorphic forms. Saha's research is currently supported by grants from the Leverhulme Trust and the EPSRC.ResearchResearch 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.Publications Jaasaari J, Lester S, Saha A (2024). Mass equidistribution for Saito-Kurokawa lifts Geometric And Functional Analysis nameOfConference. 10.1007/s00039-024-00690-x https://qmro.qmul.ac.uk/xmlui/handle/123456789/97869 Saha A (publicationYear). Equality, Diversity and Inclusion in the Mathematics Community: A Perspective on Data and Policy European Review nameOfConference. 10.1017/s1062798724000152 https://qmro.qmul.ac.uk/xmlui/handle/123456789/97524 Cesnavicius K, Neururer M, Saha A (2023). The Manin constant and the modular degree Journal of the European Mathematical Society nameOfConference. 10.4171/jems/1367 https://qmro.qmul.ac.uk/xmlui/handle/123456789/82645 Paul B, Saha A (2022). On Fourier coefficients and Hecke eigenvalues of Siegel cusp forms of degree 2 International Mathematics Research Papers nameOfConference. 10.1093/imrn/rnac316 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/82537 Horinaga S, Pitale A, Saha A et al. (2022). The special values of the standard L-functions for GSp2n × GL1 Transactions of the American Mathematical Society nameOfConference. 10.1090/tran/8617 https://qmro.qmul.ac.uk/xmlui/handle/123456789/76573 Pitale A, Saha A, Schmidt R (2022). Integrality and cuspidality of pullbacks of nearly holomorphic Siegel Eisenstein series Publicacions Matemàtiques nameOfConference. 10.5565/publmat6612216 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/72142 Pitale A, Saha A, Schmidt R (publicationYear). Lowest weight modules of Sp4(R) and nearly holomorphic Siegel modular forms Kyoto Journal of Mathematics nameOfConference. 10.1215/21562261-2021-0012 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/57747 Jääsaari J, Lester S, Saha A (2023). ON FUNDAMENTAL FOURIER COEFFICIENTS OF SIEGEL CUSP FORMS OF DEGREE 2 Journal of the Institute of Mathematics of Jussieu nameOfConference. 10.1017/s1474748021000542 https://qmro.qmul.ac.uk/xmlui/handle/123456789/74421 Hu Y, Saha A (2020). Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces, II: newforms and subconvexity Compositio Mathematica nameOfConference. 10.1112/S0010437X20007460 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/66605 Pitale A, Saha A, Schmidt R (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 nameOfConference. 10.1007/s40316-020-00134-6 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/63530 Hu Y, Nelson PD, Saha A (2019). Some analytic aspects of automorphic forms on GL(2) of minimal type Commentarii Mathematici Helvetici nameOfConference. 10.4171/cmh/473 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/36522 Saha A (2019). Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces Mathematische Annalen nameOfConference. 10.1007/s00208-019-01923-3 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/60995 DICKSON M, PITALE A, Abhishek S et al. (publicationYear). Explicit refinements of Böcherer's conjecture for Siegel modular forms of squarefree level Journal of the Mathematical Society of Japan nameOfConference. 10.2969/jmsj/78657865 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/55308 Corbett A, Saha A (2019). On the order of vanishing of newforms at cusps Mathematical Research Letters nameOfConference. 10.4310/MRL.2018.v25.n6.a4 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/25208 Saha A (2017). On sup-norms of cusp forms of powerful level Journal of the European Mathematical Society nameOfConference. 10.4171/JEMS/746 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/28573 Pitale A, SAHA A, Schmidt R (2017). A note on the growth of nearly holomorphic vector-valued Siegel modular forms Contributions in Mathematical and Computational Sciences nameOfConference. 10.1007/978-3-319-69712-3_11 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/28523 Saha A (2017). Hybrid sup-norm bounds for Maass newforms of powerful level Algebra and Number Theory nameOfConference. 10.2140/ant.2017.11.1009 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/25407 Pitale A, Saha A, Schmidt R (2017). Local and global Maass relations Mathematische Zeitschrift nameOfConference. 10.1007/s00209-016-1840-5 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/25411 Saha A (2016). Large Values of Newforms on GL(2) with Highly Ramified Central Character International Mathematics Research Notices nameOfConference. 10.1093/imrn/rnv259 qmroHref Pitale A, Saha A, Schmidt R (2015). Representations of SL_2(R) and nearly holomorphic modular forms journal nameOfConference. 10.48550/arxiv.1501.00525 qmroHref Pitale A, Saha A, Schmidt R (2014). Transfer of Siegel cusp forms of degree 2 Memoirs of the American Mathematical Society nameOfConference. 10.1090/memo/1090 qmroHref Nelson PD, Pitale A, Saha A (2014). Bounds for Rankin--Selberg integrals and quantum unique ergodicity for powerful levels Journal of the American Mathematical Society nameOfConference. 10.1090/S0894-0347-2013-00779-1 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/25408 Saha A (publicationYear). A relation between multiplicity one and Bocherer's conjecture The Ramanujan Journal nameOfConference. 10.1007/s11139-013-9489-8 https://uat2-qmro.qmul.ac.uk/xmlui/handle/123456789/25409 Saha A, Schmidt R (2013). Yoshida lifts and simultaneous non-vanishing of dihedral twists of modular L -functions Journal of the London Mathematical Society nameOfConference. 10.1112/jlms/jdt008 qmroHref Saha A (2013). On ratios of Petersson norms for Yoshida lifts journal nameOfConference. doi qmroHref Saha A (2012). Determination of modular forms by fundamental Fourier coefficients journal nameOfConference. doi qmroHref Kowalski E, Saha A, Tsimerman J (2012). Local spectral equidistribution for Siegel modular forms and applications Compositio Mathematica nameOfConference. 10.1112/s0010437x11007391 qmroHref Saha A (2011). Siegel cusp forms of degree 2 are determined by their fundamental Fourier coefficients journal nameOfConference. doi qmroHref Saha A (2010). Prime density results for Hecke eigenvalues of a Siegel cusp form journal nameOfConference. doi qmroHref Saha A (2009). Pullbacks of Eisenstein series from GU(3,3) and critical L-values for GSp(4) X GL(2) journal nameOfConference. doi qmroHref Saha A (publicationYear). L-Functions for Holomorphic Forms on GSp(4) x GL(2) and Their Special Values International Mathematics Research Notices nameOfConference. 10.1093/imrn/rnp001 qmroHref Achimescu S, Saha A (2008). Hilbert modular forms of weight 1/2 and theta functions Journal of Number Theory nameOfConference. 10.1016/j.jnt.2008.04.001 qmroHref