Dr. Balesh Kumar

Assistant Professor
  • Department of Mathematics
  • Indian Institute of Technology Ropar
  • Rupnagar, Punjab - 140001, India
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I have obtained my Doctoral degree from Harish-Chandra Research Institute, Allahabad, India. After this, I joined the Institute of Mathematical Sciences, Chennai as a Post Doctoral Fellow. Before joining IIT Ropar, I was a Post Doctoral Fellow at the National Institute of Science Education and Research Bhubaneswar, India. My research interest is in Number Theory. More precisely, I am interested in the arithmetic and analytic aspects of automorphic forms (Modular forms, Hilbert modular forms, Jacobi and Siegel modular forms).
  • Ph.D., Harish-Chandra Research Institute, Prayagraj, India, 2011-2017.
  • M.Sc., Banaras Hindu University, Varanasi, India, 2009-2011.
  • December, 2019 till present: Assistant Professor, Indian Institute of Technology Ropar, Punjab, India.
  • 2019: Post Doctoral Fellow, National Institute of Science Education and Research Bhubaneswar, India.
  • 2017-2019: Post Doctoral Fellow, Institute of Mathematical Sciences, Chennai, India.

16. Vaibhav Kalia and Balesh Kumar, Regularized inner products and modular invariants for real quadratic fields, Trans. Amer. Math. Soc., Published online.

15. Balesh Kumar, On the size of the Fourier coefficients of Hilbert cusp forms, The Ramanujan Journal, Published online.

14. Balesh Kumar, Manickam Murugesan and Karam Deo Shankhadhar, Simultaneous nonvanishing of central L-values with large level, Forum Mathematicum 2025, Vol 37, no. 2, 503–514.

13. Vaibhav Kalia and Balesh Kumar, Traces of Poincar´e series at square discriminants and Fourier coefficients of Mock modular forms, Acta Arith. 2024, Vol 216, 1-18.

12. Balesh Kumar and Biplab Paul, Additive twists of L2-norm of Fourier-Jacobi coefficients of Siegel cusp forms, J. Number Theory 2023, Vol 251, 70-83.

11. Balesh Kumar and Biplab Paul, “Ramanujan-Petersson conjecture for Fourier-Jacobi coefficients of Siegel cusp forms, Bull. Lond. Math. Soc. 2021, Vol 53, no. 1, 274-284.

10. Balesh Kumar and Biplab Paul, On the Petersson inner products of Fourier-Jacobi coefficients and Hecke eigenvalues of Siegel cusp forms, Acta Arith. 2021, Vol 197, no. 1, 21-35.

9. Balesh Kumar, Jay Mehta and G. Kasi Viswanadham Some remarks on Fourier coefficients of cusp forms, Int. J. Number Theory 2020, Vol 16, no. 9, 1935-1943.

8. Balesh Kumar, Level aspect of simultaneous nonvanishing for the central L-values associated to cusp forms, Proc. Amer. Math. Soc., 2020, Vol 148, 979-991.

7. Balesh Kumar, On Fourier coefficients of Niebur Poincar´e series, J. Number Theory, 2019, Vol 204, 579-598.

6. Sanoli Gun, Balesh Kumar and Biplab Paul, The first simultaneous sign change and non-vanishing of Hecke eigen values of newforms, J. Number Theory, 2019, Vol 200, 161-184.

5. Balesh Kumar and Manickam Murugesan, On Doi-Naganuma and Shimura liftings, Ramanujan J., 2019, Vol 48, 279-303.

4. Balesh Kumar and G. Kasi Viswanadham, Angular changes of Fourier coefficients at primes, Ramanujan J., 2019, Vol 49, 641-651.

3. Balesh Kumar and Manickam Murugesan, On newforms of half-integral weight and Jacobi forms, J. Number Theory, 2018, Vol 193, 128-153.

2. Pallab Kanti Dey and Balesh Kumar, An analogue of Artin’s primitive root conjecture, Integers, 2016, Vol. 16, Paper No. A67, 7 pp.

1. Balesh Kumar and Manickam Murugesan, On Doi-Naganuma lifting, Tsukuba J. Math., 2016, Vol 40, 125-137.

2. Balesh Kumar, Non-vanishing of symmetric square L-function of cusp forms, To appear in the RMS-Lecture Notes Series.

1. Balesh Kumar, Jaban Meher and Sudhir Pujahari, Some remarks on the coefficients of symmetric power L-functions, In Automorphic forms and related topics, Contemporary Math., Amer. Math. Soc., Providence, RI, 2019, Vol 732, 155-164.

List of invited talks will be updated soon.

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