Prof Abhishek Saha
Professor of Mathematics
REF and Reputation Lead
School of Mathematical Sciences
Queen Mary University of London
Queen Mary University of London
Research
automorphic forms, number theory, Siegel modular forms, L-functions
Interests
My research interests lie in number theory and automorphic forms.Publications
Publications of specific relevance to the Centre for Combinatorics, Algebra and Number Theory2024
Jaasaari J, Lester S and Saha A (2024). Mass equidistribution for Saito-Kurokawa lifts. Geometric And Functional Analysis, Springer 23-07-2024
Saha A (2024). Equality, Diversity and Inclusion in the Mathematics Community: A Perspective on Data and Policy. European Review, Cambridge University Press (CUP), 1-13. 04-06-2024
2023
Cesnavicius K, Neururer M and Saha A (2023). The Manin constant and the modular degree. Journal of the European Mathematical Society, EMS Press 15-09-2023
2022
Paul B and Saha A (2022). On Fourier coefficients and Hecke eigenvalues of Siegel cusp forms of
degree 2. International Mathematics Research Papers, Oxford University Press 15-11-2022
Horinaga S, Pitale A, Saha A and Schmidt R (2022). The special values of the standard L-functions for GSp2n × GL1. Transactions of the American Mathematical Society, American Mathematical Society 29-07-2022
Pitale A, Saha A and Schmidt R (2022). Integrality and cuspidality of pullbacks of nearly holomorphic Siegel Eisenstein series. Publicacions Matemàtiques, Universitat Autonoma de Barcelona vol. 66, 405-434. 01-01-2022
2021
Pitale A, Saha A and Schmidt R (2021). Lowest weight modules of Sp4(R) and nearly holomorphic Siegel modular forms. Kyoto Journal of Mathematics, Duke University Press vol. 61 (4) 01-12-2021
Jääsaari J, Lester S and Saha A (2021). ON FUNDAMENTAL FOURIER COEFFICIENTS OF SIEGEL CUSP FORMS OF DEGREE 2. Journal of the Institute of Mathematics of Jussieu, Cambridge University Press (CUP) vol. 22 (4), 1819-1869. 12-11-2021
2020
Hu Y and Saha A (2020). Sup-norms of eigenfunctions in the level aspect for compact arithmetic
surfaces, II: newforms and subconvexity. Compositio Mathematica, Foundation Compositio Mathematica 01-11-2020
Pitale A, Saha A and Schmidt R (2020). 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, Springer (part of Springer Nature) 06-05-2020
2019
Hu Y, Nelson PD and Saha A (2019). Some analytic aspects of automorphic forms on GL(2) of minimal type. Commentarii Mathematici Helvetici, European Mathematical Society - EMS - Publishing House vol. 94 (4), 767-801. 18-12-2019
Saha A (2019). Sup-norms of eigenfunctions in the level aspect for compact arithmetic
surfaces. Mathematische Annalen, Springer (part of Springer Nature) 01-11-2019
DICKSON M, PITALE A, Abhishek S and SCHMIDT R (2019). Explicit refinements of Böcherer's conjecture for Siegel modular forms of squarefree level. Journal of the Mathematical Society of Japan, Mathematical Society of Japan (Project Euclid) vol. 72 (1) 01-10-2019
Corbett A and Saha A (2019). On the order of vanishing of newforms at cusps. Mathematical Research Letters, International Press vol. 25 (6), 1771-1804. 25-03-2019
2017
Saha A (2017). On sup-norms of cusp forms of powerful level. Journal of the European Mathematical Society, European Mathematical Society vol. 19 (11) 01-11-2017
Pitale A, SAHA A and Schmidt R (2017). A note on the growth of nearly holomorphic vector-valued Siegel modular forms. Contributions in Mathematical and Computational Sciences 16-10-2017
Saha A (2017). Hybrid sup-norm bounds for Maass newforms of powerful level. Algebra and Number Theory, Mathematical Sciences Publishers vol. 11 (5), 1009-1045. 12-07-2017
Pitale A, Saha A and Schmidt R (2017). Local and global Maass relations. Mathematische Zeitschrift, Springer Verlag vol. 287 (1-2), 655-677. 09-01-2017
2015
Saha A (2015). Large Values of Newforms on GL(2) with Highly Ramified Central Character. International Mathematics Research Notices vol. 2016 (13), 4103-4131. 01-10-2015
Pitale A, Saha A and Schmidt R (2015). Representations of SL_2(R) and nearly holomorphic modular forms. 02-01-2015
2014
Pitale A, Saha A and Schmidt R (2014). Transfer of Siegel cusp forms of degree 2. Memoirs of the American Mathematical Society, American Mathematical Society vol. 232 (1090) 01-11-2014
2013
Nelson PD, Pitale A and Saha A (2013). Bounds for Rankin--Selberg integrals and quantum unique ergodicity for
powerful levels. Journal of the American Mathematical Society, American Mathematical Society 06-08-2013
Saha A (2013). A relation between multiplicity one and Bocherer's conjecture. The Ramanujan Journal, Springer Verlag 02-07-2013
Saha A and Schmidt R (2013). Yoshida lifts and simultaneous non-vanishing of dihedral twists of modular L
-functions. Journal of the London Mathematical Society, Wiley vol. 88 (1), 251-270. 18-04-2013
2012
Kowalski E, Saha A and Tsimerman J (2012). Local spectral equidistribution for Siegel modular forms and applications. Compositio Mathematica, Wiley vol. 148 (2), 335-384. 21-02-2012
2011
Saha A (2011). Siegel cusp forms of degree 2 are determined by their fundamental
Fourier coefficients. 25-06-2011
2010
2009
Saha A (2009). Pullbacks of Eisenstein series from GU(3,3) and critical L-values for
GSp(4) X GL(2). 26-04-2009
Saha A (2009). L-Functions for Holomorphic Forms on GSp(4) x GL(2) and Their Special Values. International Mathematics Research Notices 13-02-2009
2008
Achimescu S and Saha A (2008). Hilbert modular forms of weight 1/2 and theta functions. Journal of Number Theory, Elsevier BV vol. 128 (12), 3037-3062. 01-12-2008
Grants
Grants of specific relevance to the Centre for Combinatorics, Algebra and Number TheoryFourier coefficients, periods and L-functionsAbhishek Saha
£75,827 EPSRC Engineering and Physical Sciences Research Council (18-12-2024 - 17-12-2025)
Automorphic Forms and L-Functions of Higher Rank WorkshopAbhishek Saha
£3,000 London Mathematical Society (LMS) (01-09-2023 - 30-09-2023)
EPSRC Small Grant - New bounds towards Fourier coefficients of Siegel modular formsAbhishek Saha
£80,624 EPSRC Engineering and Physical Sciences Research Council (01-11-2021 - 31-07-2022)
Automorphic Forms On Higher Rank Groups: Fourier Coefficients, L-functions, and arithmeticAbhishek Saha and Stephen Lester
£388,041 EPSRC Engineering and Physical Sciences Research Council (15-06-2020 - 14-12-2023)
New investigations in automorphic formsAbhishek Saha
£293,684 Leverhulme Trust (01-09-2019 - 31-05-2024)
Collaborative research with Professor A. Pitale , USAAbhishek Saha
£1,000 London Mathematical Society (LMS) (01-06-2019 - 30-06-2019)