Prof Abhishek Saha
Professor of Mathematics
REF and Reputation Lead
School of Mathematical Sciences
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 Theory
2024

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.
04-06-20242023

Cesnavicius K, Neururer M and
Saha A (2023).
The Manin constant and the modular degree. Journal of the European Mathematical Society,
EMS Press 15-09-20232022

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.
01-01-20222021

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.
12-11-20212020

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) 06-05-20202019

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.
25-03-20192017
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.
09-01-20172015
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. 02-01-20152014

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)
01-11-20142013

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
Saha A (2013).
On ratios of Petersson norms for Yoshida lifts. 21-03-20132012
Saha A (2012).
Determination of modular forms by fundamental Fourier coefficients. 30-07-2012
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.
21-02-20122011
Saha A (2011).
Siegel cusp forms of degree 2 are determined by their fundamental
Fourier coefficients. 25-06-20112010
Saha A (2010).
Prime density results for Hecke eigenvalues of a Siegel cusp form. 27-07-20102009
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 13-02-20092008

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 Theory
Fourier coefficients, periods and L-functions
Abhishek Saha£75,827
EPSRC Engineering and Physical Sciences Research Council18-12-2024 - 17-12-2025
Automorphic Forms and L-Functions of Higher Rank Workshop
Abhishek Saha£3,000
London Mathematical Society (LMS)01-09-2023 - 30-09-2023
EPSRC Small Grant - New bounds towards Fourier coefficients of Siegel modular forms
Abhishek Saha£80,624
EPSRC Engineering and Physical Sciences Research Council01-11-2021 - 31-07-2022
Automorphic Forms On Higher Rank Groups: Fourier Coefficients, L-functions, and arithmetic
Abhishek Saha and Stephen Lester
£388,041
EPSRC Engineering and Physical Sciences Research Council15-06-2020 - 14-12-2023
New investigations in automorphic forms
Abhishek Saha£293,684
Leverhulme Trust01-09-2019 - 31-05-2024
Collaborative research with Professor A. Pitale , USA
Abhishek Saha£1,000
London Mathematical Society (LMS)01-06-2019 - 30-06-2019