01

Research Interests

My research interests broadly lie in analytic number theory, specifically in moments, non-vanishing & correlation of L-functions, sub-convexity problems, extreme values of L-functions and problems related to multiplicative functions & equidistributions.

02

Career

• July 2024 - June 2025

  Postdoctoral Fellow

  Department of Mathematics, University of Genoa, Italy

  March 2024 - June 2024

  Postdoctoral Fellow

  Max-Planck Institute for Mathematics, Bonn, Germany

  February 2023 - February 2024

  Postdoctoral Fellow

  Institut de Mathématiques de Marseille, AMU, Marseille, France

03

Education

• July 2016 - December 2022

  Doctor of Philosophy

  Indian Statistical Institute, Kolkata, India

  Dissertation Title: On moments of certain families of L -functions

• 2014 - 2016

  M.Sc., Mathematics and Computing

  Indian Institute of Technology Guwahati, India

04

Publications & Preprints

• (with P. Darbar) Large values of quadratic Dirichlet L-functions, Mathematische Annalen, (2025).




• (with M. Aymone, O. Ramaré and P. Srivastav) Convolution of periodic multiplicative functions and the divisor problem, Canadian Journal of Mathematics, Vol. 00(0) (2024), pp. 1–19.




• (with P. Darbar) Large values of quadratic Dirichlet L-functions over monic irreducible polynomial in F_q [t], Proceedings of the American Mathematical Society, 152(8), (2024).




• (with K. Mallesham) Simultaneous non-vanishing of central values of GL(2) × GL(3) and GL(3) L-functions, Journal of Number Theory, 255 (2024), 62--84.




• Simultaneous Non-vanishing of Quadratic Dirichlet L-functions and twists of Hecke L-functions, Mathematische Zeitschrift, 303 (2023), no. 1, Paper No. 7, 13pp.




• (with P. Darbar) Correlation of shifted values of L-functions in the hyperelliptic ensemble, Finite Fields and Their Applications, 76 (2021), Paper No. 101928, 38pp.




• (with R. Acharya, S. Kumar and S. Singh) Subconvexity for GL(2) L-functions in t-aspect, Acta Arithmetica, 194 (2020), no. 2, 111--133.




• (with S. Ganguly) Short sums of products of two trace functions of distinct prime moduli, (2023),(Preprint).

05

Workshop & Conference

• Italy - France Analytic Number Theory Workshop, University of Genoa, 2024.




• Conference on Young Number Theorists, MPIM Bonn, 2023.




• 32th Journées Arithmétiques 2023, Nancy, 2023.




• Oberwolfach Seminar: Analysis of Automorphic Forms and L-Functions in Higher Rank, 2023.




• Conference on Analytic Number Theory, ISI Kolkata, 2023.




• Conference on Analytic Number Theory, ISI Kolkata, 2022.




• Discussion meeting on L-function, Circle Method and Applications, ICTS Bengaluru, 2022.




• Tutored in ‘IST - Analytic Number Theory’, IISER Berhampur, 2019.




• Workshop on L-functions, IIT Bombay, 2018.




• ATM Workshop on Analytic Number Theory, ISI Kolkata, 2017.

06

Presentations / Talks

• Number theory lunch seminar, Max-Planck Institute for Mathematics Bonn, Germany 2024.




• Seminar on Number Theory, ISI Kolkata, India 2024.




• Rencontres de théorie analytique et élémentaire des nombres, Institut Henri Poincaré Paris, France 2023.




• Arithmetic and Number Theory Seminar, Paul Painlevé Laboratory, Université de Lille, France 2023.




• Number Theory Seminar, Department of Mathematics, University of Genova, Italy 2023.




• Séminaire Ernest, Institut de Mathématiques de Marseille, Marseille, France 2023.




• Conference on Analytic Number Theory, ISI Kolkata, India 2023.




• Seminar on Number Theory, ISI Kolkata, India. 2022.

07

Honors & Awards

• UniGe Postdoctoral fellowship, 2024.




• MPIM Postdoctoral fellowship, 2024.




• NBHM Postdoctoral fellowship, 2023.




• ArithRand Postdoctoral fellowship, 2023.




• CSIR-UGC Ph.D fellowship (NET Exam), June 2015 (All India rank: JFR 10).




• CSIR-UGC Ph.D fellowship (NET Exam), December 2015 (All India rank: JFR 33).




• GATE Ph.D fellowship, 2016.

08

Contact Me

DIMA-Dipartimento di Matematica

Via Dodecaneso, 35

16146 Genova, Italy.

Email

g.gopaltamluk@gmail.com

gopal.maiti@dima.unige.it