Dr Subhajit Jana

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

• Number Theory - Semester A, 2024/25

• Differential and Integral Analysis - Semester B, 2024/25

Past teaching

• MTH4*15: Vectors and Matrices - Semester B, 2022/23.

• MTH5130: Number Theory - Semester A, 2023/24.

Research

Research Interests:

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. to appear, 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; submitted, 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.

3. On Fourier asymptotics and effective equidistribution, joint with Shreyasi Datta: submitted, arXiv.