Research Interests

My research interests lies in Number Theory, in particular topics related to Elliptic curves and Modular Forms.

Papers

  1. Pandey B,Modular forms and Ellipsoidal T-Designs, The Ramanujan Journal, arxiv link
  2. De Las Penas Castano A, Pandey B, Inversion Formulas for the j-function Around Elliptic Points Archiv der Mathematik, arxiv link
  3. Pandey B, Higher Turán Inequalities for the Plane Partition Function (submitted), arxiv link
  4. Pandey B, Pujahari S, To be determined (in preparation)
  5. Mono A, Pandey B, Linear congruence relations for exponents of Borcherds products (submitted), arxiv link

PhD Thesis

  1. Pandey B,On Higher Turan inequalities for the Plane Partitions, Ellipsoidal T-Designs, and j-inversion, LIBRA, University of Virginia

Expository papers

  1. Elliptic curves, Elliptic functions, and Complex multiplication
  2. Calculating Hilbert class field of Imaginary quadratic extensions

Research Talks

  • Inversion of the Modular j-function, KSoM Kerala, February 02, 2023
  • Inversion of the Modular j-function, IMSc Chennai, January 25, 2023
  • Higher Turán Inequalities for the Plane Partitions, ISI Bangaluru, January 19, 2023
  • On Higher Turán Inequalities for the Plane Partitions, Ellipsoidal T-Designs, and j-Inversion, UVa graduate seminar, November 4, 2022
  • Inversion of the Modular j-function, Summer Seminar Series, July 2, 2022
  • Inversion of the Modular j-function, NISER, Bhubaneswar, May 27, 2022
  • Ellipsoidal T-design, 18th Nagoya combinatorial seminar, December 17, 2020.

    • General Talk

  • Kronecker's Jugendtraum , Summer Seminar Series, June 29, 2022
  • Hilbert class polynomials, UVa Undergraduate Math Club, March 03, 2020.

    • Conferences and Travel schedule