School of Basic Sciences

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Department of
Mathematics
School of Basic Sciences

Dr. Biplab Paul

Assistant Professor
  • Office: 330, SBS
  • bpaul@iitbbs.ac.in
  • Department of Mathematics
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Research Interests:
Number Theory, in particular Analytic Number Theory; Modular Forms; Siegel Modular forms; Hermitian Modular forms; L-functions;
 Degree Discipline Year School
  BSc Honours in Mathematics 2012 Krishnagar Govt. College, University of Kalyani, WB
  MSc Pure Mathematics 2014 University of Calcutta, Kolkata, WB
  PhD Mathematics 2019 The Institute of Mathematical Sciences, HBNI, Chennai
Teaching at IIT Bhubaneswar:
  • Autumn 2024: Math-1 (MA1L001): BTech 1st sem, and Theory of Modular forms (MA7L030): MSc and PhD optional.
  • Spring 2024: Real Analysis (MA1L304): BSc-BEd (ITEP – Math Major) 2nd Sem.
  • Autumn 2023: Math-1 (MA1L001): BTech 1st Sem.
Teaching at CMI:
  • Spring 2023: Complex Analysis (MSc 2nd Sem; jointly with Prof. Purusottam Rath).
  • INSPIRE faculty fellowship; awarded by DST, India. (2023)
  • SERB-National Postdoctoral Fellowship; awarded by SERB, India. (2021)
  • JSPS international postdoctoral fellowship and Grant-in-Aid for JSPS fellows (under host Professor Masanobu Kaneko); awarded by Japan Society for the Promotion of Science (JSPS), Japan. (2019)
  • Qualified CSIR–UGC NET: Certificate of Junior Research fellowship in Mathematical Sciences; awarded by CSIR, India. (2014)
  • NBHM Ph. D. Scholarship; awarded by National Board for Higher Mathematics (NBHM), India (did not avail). (2014)
  • NBHM MA/MSc Scholarship; awarded by National Board for Higher Mathematics (NBHM), India. (2012)
  1. Balesh Kumar and Biplab Paul, Additive twists of L^2-norm of Fourier-Jacobi coefficients of Siegel cusp forms; J. Number Theory 251 (2023), 70 — 83.
  2. Biplab Paul and Abhishek Saha, On Fourier coefficients and Hecke eigenvalues of Siegel cusp forms of degree 2, To appear in IMRN (2022)
  3. Biplab Paul, On values of logarithmic derivative of L-function attached to modular form, Int. J. Number Theory 19 (2023), no. 03, 531–552.
  4. Sanoli Gun, V. Kumar Murty and Biplab Paul, Distinguishing newforms by their Hecke eigenvalues, Research in Number Theory 7 (2021), Paper No. 49, 24pp.
  5. Balesh Kumar and Biplab Paul, Ramanujan–Petersson conjecture for Fourier–Jacobi coefficients of Siegel cusp forms, Bull. Lond. Math. Soc. 53 (2021), no. 1, 274–284.
  6. Sanoli Gun, Winfried Kohnen and Biplab Paul, Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two, Ramanujan J. 54 (2021), no. 1, 43–62.
  7. Balesh Kumar and Biplab Paul, On the Petersson inner products of Fourier–Jacobi coefficients and Hecke eigenvalues of Siegel cusp forms, Acta Arith. 197 (2021), no. 1, 21–35.
  8. Biplab Paul and Ayyadurai Sankaranarayanan, On the error term and zeros of the Dedekind zeta function, J. Number Theory 215 (2020), 98–119.
  9. Sanoli Gun, Balesh Kumar and Biplab Paul, The first simultaneous sign change and non-vanishing of Hecke eigenvalues of newforms, J. Number Theory 200 (2019), 161–184.
  10. Sanoli Gun, Biplab Paul and Jyoti Sengupta, On Hecke eigenvalues of Siegel modular forms in the Maass space, Forum Math. 30 (2018), no. 3, 775–783.

SERB-National Postdoctoral Fellow at Chennai Mathematical Institute, Chennai, India. Postdoc at Queen Mary University of London, UK. JSPS postdoctoral Fellow at Kyushu University, Fukuoka, Japan. Visiting Fellow (Postdoc position) at Chennai Mathematical Institute, Chennai, India.

Postdoctoral Experiences
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