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Dr Subhajit Jana

Subhajit

Lecturer in Number Theory

Email: s.jana@qmul.ac.uk
Telephone: +44 (0)20 7882 7138
Room Number: Mathematical Sciences Building, Room MB-G27
Website: https://sites.google.com/view/subhajit-jana
Office Hours: Please email for an appointment

Profile

Subhajit Jana is a lecturer in the Algebra and Number Theory group since 2022 September. Prior to that, he held a postdoctoral fellowship at Max Planck Institute for Mathematics in Bonn, Germany. He completed his Ph.D. in July 2020 from ETH Zurich, Switzerland.

Teaching

Current teaching

Past teaching

Research

Research Interests:

My research broadly lies in the fields of analytic number theory and automorphic forms. In particular, I am interested in problems regarding subconvexity estimates of L-functions, spectral theory of automorphic forms, and quantum unique ergodicity. I am also interested in the analysis of arithmetic manifolds, homogeneous dynamics, and representation theory. 

Publications

  • Analytic newvectors and related

  1. Analytic newvectors for GL(n,R), joint with Paul D. Nelson: submitted. arXiv.

  2. Applications of analytic newvectors for GL(n): Math. Ann. 380 (3), 915-952, (2021). arXiv.
  • Estimates of central L-values

  1. The second moment of GL(n) x GL(n) Rankin--Selberg L-functions: Forum Math. Sigma, vol.10, e47, (2022). arXiv.

  2. The Weyl bound for triple product L-functions, joint with Valentin Blomer and Paul D. Nelson: Duke Math J. 172 (6), 1173-1234, (2023). arXiv.

  3. Spectral reciprocity for GL(n) and simultaneous non-vanishing of central L-values, joint with Ramon Nunes; Amer. J. Math. 148 (2026), no. 1, 247-311. arXiv.

  4. Moments of L-functions via the relative trace formula, joint with Ramon Nunes; submitted. arXiv.

  5. Local integral transforms and global spectral decomposition, joint with Valentin Blomer and Paul D. Nelson; Geom. Funct. Anal. vol. 35,1051–1107, (2025). arXiv.
  • Bounds of automorphic forms

  1. Supnorm of an eigenfunction of finitely many Hecke operators: Ramanujan J. 48 (3), 623-638, (2019). arXiv.

  2. On the local L2-Bound of the Eisenstein series, joint with Amitay Kamber; Forum Math. Sigma, vol.12, e76, (2024). arXiv.

  • Equidistribution and Diophantine approximation
  1. Joint equidistribution on the product of the circle and the unit cotangent bundle of the modular surface: J. Number Theory 226C, 271-283, (2021). arXiv.

  2. Optimal Diophantine exponents for SL(n): joint with Amitay Kamber; Adv. Math. 443 (2024), Paper No. 109613. arXiv.

Supervision

PGR: Jakub Dobrowolski (October 2023 - current)

PDRA: Himanshi Chanana (September 2025 - current)

Grants

NIA: Moments of higher-rank L-functions
£188,990 Engineering and Physical Sciences Research Council
20-06-2025 - 19-06-2027

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