Ritwik Pal
Ph.D., Indian Institute of Science, BengaluruRitwik Pal
Ph.D., Indian Institute of Science, BengaluruMy research interest lies in the theory of modular forms, theory of automorphic forms and Analytic number theory, especially on the automorphic L-functions associated with automorphic forms. In the past, I have worked on the injectivity property of direct sum of certain differential operators that maps the space of Jacobi forms to a direct sum of elliptic modular forms. I have also worked on Linnik-type problems on the location of first negative Hecke eigenvalue for Hilbert-Hecke newforms and Yoshida lifts, a certain type of Siegel-Hecke cusp form. I established asymptotic distribution of positive and negative Hecke eigenvalues of Hilbert-Hecke newforms. For non-Saito-Kurokawa lifts, I showed the existence of large Hecke eigenvalues and thereby established the optimum Omega–result for those eigenvalues. More recently, I established an asymptotic expression for a large family of products of Dirichlet character-twisted central values for two distinct newforms. From this I established a unique determination result for a pair of newforms from these twisted central values. In a recent work, I have studied the shifted convolution sum problems for GL(3)-autmorphic Fourier coefficients and established a non-trivial upper bound for such shifted convolution sums with an average over shifts. As an application I established a non-trivial upper bound for the non-linear additive twists of GL(3)-Fourier coefficients.
Ritwik Pal is a mathematician and an assistant professor at Chanakya University. Before joining Chanakya University, he was as a ANRF Research Associate at IIIT-Delhi for one year, funded by ANRF, Department of Science and Technology and NBHM postdoctoral fellow at ISI, Kolkata for three years, funded by NBHM, Department of Atomic Energy. Prior to that he earned his PhD in Mathematics from IISc, Bengaluru. His research interest lies in the Theory of modular forms, automorphic forms and Analytic Number Theory.
During his postdoctoral tenure at ISI, Kolkata he taught a course on Number theory in its B. Stat academic programme.
He has published in peer-reviewed journals such as Journal of Number Theory, Forum Mathematicum, Rsearch in Number Theory, The Ramanujan Journal.
- Ph.D., 2020, Indian Institute of Science, Bengaluru
- M.Sc., 2014, University of Hyderabad , Hyderabad
- B. E., Construction Engineering, 2011, Jadavpur University
- P. Anamby, R. Pal, “ Determination of a pair of newforms from the product of their twisted central values”, DOI: 10.1515/forum-2023-0373; Forum Mathematicum.
- P. Anamby, S. Das, R. Pal, “ Large Hecke eigenvalues and an omega result for non Saito-Kurokawa lifts”, The Ramanujan J., Volume 56, 2021, Pages 519-531.
- R. Pal, “On the signs of Fourier coefficients of Hilbert cusp forms”, The Ramanujan J., Volume 53, 2020, Pages 467–481.
- S. Das , R.Pal, “The first negative eigenvalue of Yoshida lifts”; Res. Number Theory, September 2019, 5:20
- S. Das, R. Pal, “Jacobi forms and differential operators: odd weights” J. Number Theory, Volume 179, October 2017, Pages 113–125.
Project 1
- Title: Small-scale statistics for equidistributed sequences in mesoscopic regimes
- Duration: Dec 2024 to Jan 2026
- Granting Agency: Anusandhan National Research Foundation
- PIs/Co PIs: Prof. Sneha Chaubey
- Status: Completed
- Grant Amount: 9 lakhs
- NBHM Post Doctoral Fellowship, 2021-2024.
- NBHM Ph.D. fellowship; 2014-2019.
- CSIR JRF NET Qualified; December, 2013 (did not avail).
- NBHM M.Sc. fellowship; 2012-2014.
- Reviewer at Mathscient World’s largest online archive of published papers in peer-reviewed journals owned by American Mathematical Society (Reviewer id: 144474).
- Life member of Ramanujan Mathematical Society, India.