SOUMYA  BHATTACHARYA

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

Publications

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

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

•  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

•  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

•  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 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

Theses

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

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

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

Teaching

  In the current semester
    Analytic Number Theory   

  In earlier semesters
    Linear Algebra I  
    Analysis I
    Probability I
    Commutative Algebra
    Analytic Number Theory
    Elementary Number Theory