SOUMYA  BHATTACHARYA

     My specialization is in Number Theory. I did my Ph.D from Bonn under the supervision of Prof. Don Zagier.

Publications

• Finiteness of simple holomorphic eta quotients of a given weight, Advances in Mathematics,
  Vol. 308 (2017), 879-895, MR 3600077,  Zbl 06680466, dx.doi.org/10.1016/j.aim.2016.12.010

• Holomorpic eta quotients of weight 1/2, Advances in Mathematics,
  Vol. 320 (2017), 1185-1200, dx.doi.org/10.1016/j.aim.2017.09.017

• Finiteness of irreducible holomorphic eta quotients of a given level, The Ramanujan Journal,
  Vol. 48, 423-443, (2019), dx.doi.org/10.1007/s11139-017-9982-6

• Special factors of holomorphic eta quotients, Advances in Mathematics,
  Vol. 392 (2021), dx.doi.org/10.1016/j.aim2021.108019

• The minimum of the levels of the proper factors of a holomorphic eta quotient,
  Research in Mathematical Sciences, Vol. 8, No. 2  (2021), dx.doi.org/10.1007/s40687-021-00267-2

• The Probabilistic Pigeonhole Principle, The American Mathematical Monthly,
  Vol. 130, No. 7, 678 (2023), dx.doi.org/10.1080/00029890.2023.2219174

• Sum of Two Triangular Numbers, Resonance, Vol. 130,  857-861 (2024),
  dx.doi.org/10.1007/s12045-024-0857-z

• An upper bound on the divisor counting function, The American Mathematical Monthly, (2025), dx.doi.org/10.1080/00029890.2025.2543674
  
  

Theses

• On Drinfeld's non-archimedean upper half-plane, Master Thesis, ALGANT, 2008.

• Factorization of holomorphic eta quotients, Ph.D Thesis, Bonn University Library, 2014.

Teaching

  In the current semester
    Linear Algebra I

  In earlier semesters
   Analysis I, Probability I, Linear Algebra I, Commutative Algebra, Analytic Number Theory,
   Elementary Number Theory
   
Short lecture series
   GIAN Course on Zeros of L-functions at IISER Kolkata (June 2025)
    CIMPA School on Automorphic L-functions at IIT Ropar (July 2025)

Scripts
     Etalister.gp  (Lists holomorphic eta quotients of level N and weight k)