Dr. Biplab Paul Assistant Professor
School of Basic Sciences

Research Interests

Number Theory, in particular Analytic Number Theory; Modular Forms; Siegel Modular forms; Hermitian Modular forms; L-functions;

Contact Details

  • Room No. 330, School of Basic Sciences, IIT Bhubaneswar
  • bpaul@iitbbs.ac.in, paulbiplab0@gmail.com

Other Profile Link(s)

Education

 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
 

Biosketch

 

Teaching

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).

 

Recent Publications (International Journals)

1Balesh 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.
2Biplab Paul and Abhishek Saha, On Fourier coefficients and Hecke eigenvalues of Siegel cusp forms of degree 2, To appear in IMRN (2022)
3Biplab Paul, On values of logarithmic derivative of L-function attached to modular form, Int. J. Number Theory 19 (2023), no. 03, 531--552.
4Sanoli Gun, V. Kumar Murty and Biplab Paul, Distinguishing newforms by their Hecke eigenvalues, Research in Number Theory 7 (2021), Paper No. 49, 24pp.
5Balesh 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.
6Sanoli 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.
7Balesh 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.
8Biplab Paul and Ayyadurai Sankaranarayanan, On the error term and zeros of the Dedekind zeta function, J. Number Theory 215 (2020), 98--119.
9Sanoli 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.
10Sanoli 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.

Conferences (International)

1Biplab Paul, Simultaneous sign changes of Fourier coefficients of half-integral weight newforms; In: Topics in Number Theory, 51--60. Ramanujan Math. Soc. Lect. Notes Ser., 26, Ramanujan Math. Soc., Mysore, 2020.
2Biplab Paul, Growth of Petersson inner products of Fourier--Jacobi coefficients of Siegel cusp forms; RIMS Kokyuroku No. 2197, RIMS, Kyoto University, Proceedings for the conference "Analytic, geometric and p-adic aspects of automorphic forms and L-functions", January 2020.
3Biplab Paul, On Values of logarithmic derivatives of L-functions; RIMS Kokyuroku No. 2196, RIMS, Kyoto University, Proceedings for the conference "Problems and Prospects in Analytic Number Theory", November 2020.
 

Academic Honors & Awards

  • 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)
 

Research Scholar

Record not found. Please check back later.

 

Professional Experience

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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