My research interests lie in Number Theory, in particular topics related to elliptic curves, hypergeometric functions, modular forms and theory of partitions.

Submitted/Published articles

1. Pandey BV, Modular forms and Ellipsoidal T-Designs, The Ramanujan Journal, arxiv link, (2022)

2. De Las Penas Castano A, Pandey BV, Inversion Formulas for the j-function Around Elliptic Points Archiv der Mathematik, arxiv link, (2022)

3. Pandey BV, Higher Turán Inequalities for the Plane Partition Function Research in Number Theory, (pdf) arxiv link, (2024)

4. Mono A, Pandey BV, Linear congruence relations for exponents of Borcherds products, arxiv link, (2023)

5. Bringmann K, Pandey BV, Biases among classes of rank-crank partitions modulo 11 Journal of Mathematical Analysis and Applications, arxiv link, (2024)

6. Bringmann K, van-Ittersum J-W, Craige W, Pandey BV, Limiting behaviour and modular completions of MacMahon-like q-series, arxiv link, (2024)

7. Jin S, Singh A, Pandey B, Certain infinite products in terms of MacMahon type series, arxiv link, IJNT (recommended for publication) (2024)

8. Bringmann K, Pandey BV, Traces of partition Eisenstein series and almost holomorphic modular forms, Research in Number Theory, arxiv link, (2024)

9. Bringmann K, van-Ittersum J-W, Pandey BV, Mock Eisenstein series associated to partition ranks, arxiv link, (2025)

10. Nazaroglu C, Pandey BV, Singh A, Quasimodularity and Limiting Behavior for Variations of MacMahon Series, arxiv link, (2025)

Articles in preparation

1. Pandey BV, to be determined

2. Bringmann K, Ono K, Pandey B, Partitions satisfy Benford's law at primes with bounded gaps

3. Bringmann K, Franke J, Pandey BV, to be determined

4. Bringmann K, Gupta R, Pandey BV to be determined

5. Bringmann K, van-Ittersum J-W, Pandey BV, to be determined

6. Bringmann K, van-Ittersum J-W, Kalia V, Pandey BV, to be determined

PhD Thesis

• Pandey B, On Higher Turan inequalities for the Plane Partitions, Ellipsoidal T-Designs, and j-inversion, LIBRA, University of Virginia, (2022)

Expository papers

1. Elliptic curves, Elliptic functions, and Complex multiplication

2. Calculating Hilbert class field of Imaginary quadratic extensions

3. Primes of the form x^2+ny^2 and Hilbert class field

Research Talks

• Mock Eisenstein series associated to partition ranks, OeMG-DMV annual meeting 2025, September 02, 2025

• Limiting behaviour and modular completions of MacMahon-like q-series, IIT Gandhinagar, March 19, 2025

• Limiting behaviour and modular completions of MacMahon-like q-series, IIT BHU, March 05,2025

• Biases among classes of rank-crank partitions modulo 11, Circle method and related topics, November 08, 2024

• Limiting behaviour and modular completions of MacMahon-like q-series, Building Bridges: 6th EU/US Summer School  & Workshop on Automorphic Forms and Related Topics (BB6), September 11, 2024

• Linear congruence relations for exponents of Borcherds products, HRI Prayagraj, March 04, 2024

• Linear congruence relations for exponents of Borcherds products, IISc Bangalore, March 01, 2024

• Linear congruence relations for exponents of Borcherds products, ISI Bangalore, February 27, 2024

• Biases among classes of rank-crank partitions modulo 11, International Conference on Number Theory & the SASTRA-Ramanujan Award ceremony, December 21, 2023

• Biases among classes of rank-crank partitions modulo 11, Number Theory and Combinatorics Seminar UT Tyler, September 26, 2023

• Linear congruence relations for exponents of Borcherds products, 35th Automorphic Forms Workshop, May 2023

• 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 Bangalore, 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

• Dirichlet series and character of abelian groups, Seminar on Chebotarev's Density Theorem, May 30, 2023

• Kronecker's Jugendtraum, Summer Seminar Series, June 29, 2022

• Hilbert class polynomials, UVa Undergraduate Math Club, March 03, 2020.

Conferences and Travel schedule

• Circle method and related topics, The International Centre for Theoretical Sciences (ICTS) Bengaluru, November 04-08, 2024

• Building Bridges: 6th EU/US Summer School & Workshop on Automorphic Forms and Related Topics (BB6) 

École et Atelier sur les formes automorphes et interactions, September 9-13, 2024

• International Conference on Number Theory & the SASTRA-Ramanujan Award ceremony, December 18-23, 2023

• 1st Analytic Number Theory & Automorphic Forms Conference in Patras, July 17-21, 2023

• 35th Automorphic Forms Workshop, May 22-27, 2023

• Virginia Mathematics Lecture: Martin Hairer (Imperial College London), November 29-December 1, 2022

• University of Cologne, September 26- October 2, 2022

• 100 Years of Mock Theta Functions, May 22-24, 2022 (attended virtually)

• Virginia Mathematics Lecture: Mikhail Khovanov (Columbia), April 18-20, 2022

• Virginia Mathematics Lecture: Curtis McMullen (Harvard), November 8-10, 2021

• 34th Automorphic Forms Workshop, May 11-15, 2020 (postponed)

• AMS Spring Southeastern Sectional Meeting, March 13-15, 2020(canceled)

• Madison Modulii Weekend, March 27-29, 2020 (postponed)

• 100 Years of Mock Theta Functions, March 18-19, 2020 (postponed)

• Virginia Mathematics Lecture: Greg Lawler (UChicago), February 12-14, 2020

• Virginia Mathematics Lecture: Peter Sarnak (IAS Princeton), November 4-9, 2019