School of Basic Sciences

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Department of
Mathematics
School of Basic Sciences

Dr. Biplab Paul

Assistant Professor
  • Office: 330, SBS
  • +91-674-713-5364
  • bpaul@iitbbs.ac.in
  • Department of Mathematics
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Research Interests:
Number Theory: Analytic Number Theory; Theory of L-functions; Algebraic Number Theory; Quadratic forms; Automorphic forms: Modular forms of integral and half-integral weight; Siegel Modular forms; Jacobi forms; Hermitian Modular forms; Langlands program;
 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 2025: Calculus and ODE (MA1L003) for BTech 1st Sem (course coordinator).
  • Spring 2025: Numerical Methods (MA2L304) for BSc-BEd (under ITEP – all major) 4th Sem.
  • Autumn 2024: Math-1 (MA1L001) for BTech 1st sem, and Theory of Modular forms (MA7L030) for MSc and PhD optional.
  • Spring 2024: Real Analysis (MA1L304) for BSc-BEd (under ITEP – Math Major) 2nd Sem.
  • Autumn 2023: Math-1 (MA1L001) for BTech 1st Sem.
Teaching at CMI:
  • Spring 2023: Complex Analysis (MSc 2nd Sem; jointly with Prof. Purusottam Rath).

to be modified

PhD Student:

  1. Neha Tiwari

MSc Students:

  1. Labanya
  2. Avinash
  3. Sayantan
  4. Anirban
  • 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. INSPIRE: to be added
  1. Biplab Paul and Sujeet Kumar Singh, Variants of Kohnen’s conjecture for hermitian modular forms, To appear in J. Number Theory (2025).
  2. 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.
  3. Biplab Paul and Abhishek Saha, On Fourier coefficients and Hecke eigenvalues of Siegel cusp forms of degree 2, International Mathematics Research Notices IMRN 2023 (2023), No 24, 21707 — 21760. 
  4. Biplab Paul, On values of logarithmic derivative of L-function attached to modular form, Int. J. Number Theory 19 (2023), no. 03, 531–552.
  5. Sanoli Gun, V. Kumar Murty and Biplab Paul, Distinguishing newforms by their Hecke eigenvalues, Research in Number Theory 7 (2021), Paper No. 49, 24pp.
  6. 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.
  7. 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.
  8. 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.
  9. Biplab Paul and Ayyadurai Sankaranarayanan, On the error term and zeros of the Dedekind zeta function, J. Number Theory 215 (2020), 98–119.
  10. 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.
  11. 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.

to be added

Postdoctoral Experiences
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