Talks

A partial list of talks is available here, arranged topic wise.
A slightly more comprehensive, but potentially still-not-up-to-date, list of talks is listed here.

To see talks arranged temporally, click here.

Upcoming talks and lectures

1. Computing Sato-Tate groups and distributions (OIST Okinawa, Jan 2026, Remote)
2. Modularity theorems for certain non-hypergeometric motives (Potsdam, Jan 2026)

School Lectures

1. K3 surfaces in physics (ICTP Winter School on Number Theory and Physics, November 2025) [Video Recording]

Math Seminars and Talks

Includes workshop talks, conference talks and seminar invites.

Number theory/arithmetic geometry

1. Modularity theorems beyond elliptic curves (Tokyo, September 2025)
2. Introduction to Complex Multiplication (ICTS Bangalore, June 2025)
3. Arithmetic geometry of rational vertex operator algebras (Mainz, March 2025)
4. Complex Multiplication: History, Theory, Computation and Application (Mainz, January 2025)
5. The Siegel-Weil theorem (Vienna, April 2024)
6. Rational point counts and Feynman integrals (Leipzig, March 2024)
7. Algebraic and arithmetic aspects of abelian varieties (Potsdam Math Dept, February 2024)
8. Introduction to the Birch & Swinnerton-Dyer Conjecture (Cambridge, October 2023)
9. The Katz-Sarnak Philisophy (Tokyo, April 2023)
10. Lectures on automorphic forms and L-functions (ICTS Bangalore, April 2023)

Computational number theory/arithmetic geometry

1. Data driven discoveries in modern mathematics (Tokyo, September 2025)
2. Murmurations (Leipzig, March 2024)
3. New trends in computational number theory (Eindhoven, December 2024)
4. Arithmetic statistics of weight 2 Hecke eigencusp forms (Lisbon, October 2024)
5. Computational aspects of the Langlands program (Zurich, August 2024)
6. Hyperelliptic curve invariants, Siegel modular functions and applications (Cambridge, October 2023)

Algebraic geometry and representation theory

1. Siegel and mock-modularity of enumerative invariants of K3 surfaces (Mainz, December 2024)
2. Noether-Lefschetz theory and counting nodal curves on K3 surfaces (Stony Brook, November 2022)
   
3. Calabi-Yau manifolds and sporadic groups ( University of Vienna and IMSc Chennai, November 2017; Indian Institute of Science, December 2017)

Math Colloquia

1. Advances in computer assisted number theory and arithmetic geometry (Reyjkavik, October 2024)
2. Data driven discoveries in modern mathematics (Tokyo, September 2025)
3. New advances in computer assisted number theory and arithmetic geometry (Potsdam, May 2024)

Mathematical Physics Seminars and Talks

Workshop talks and seminars in mathematical physics (mostly on the interface of number theory, arithmetic geometry and physics).

Eisenstein series

1. Real analytic Eisenstein series in string theory and holography (GGI Florence, May 2024)
2. Eisenstein series over generic groups, and physical applications (Uni Vienna, April 2024)
3. Generalized Siegel-Weil theorem and holography (Lisbon, September 2021)
4. Generalized Siegel-Weil formula, 3d Gravity, & Chern-Simons invariants (Vienna, June 2021)

Automorphic forms

1. Hilbert modular forms, Niemeier Lattices and Octonionic black holes (Trieste, June 2022 + Cornell, November 2022)
2. Application of mock modular forms in string theory (Stony Brook, November 2022)

Periods and Zeta functions

1. Periods in quantum field theory (IISc Bangalore, June 2025 & Reykjavik, October 2025)
2. Modularity and L-values of BPS black holes from arithmetic statistics (AEI Potsdam, December 2024)
3. Arithmetic structures in physics (AEI Potsdam, February 2024 + CNRS Montpellier, March 2024)
4. Zeta and L-functions in physics (Lehigh, November 2022)
5. Arithmetic chaos, zeroes of \(\zeta(s)\) and topological recursions (TU Wien, September 2019)

BPS objects in string theory

1. Gravitational path integrals for N = 4 black holes (IISc Bangalore, April 2023)
2. Hilbert modular forms, Niemeier Lattices and Octonionic black holes (Tokyo, May 2022)
3. Origin of mock modular forms in supergravity (Poincare Inst., June 2022, DESY, May 2022 + Munich, Nov2021 + Nagoya October 2021)
4. Supersymmetric localization and BPS state counting in SCFTs (IPMU, October 2020)
5. Mock modular black hole entropy from half BPS states (Video file) (Lisbon, September 2020)
6. 1/4 BPS black hole degeneracies from 1/2-BPS black hole degeneracies (Stanford, January 2020 + ICTP, January 2020 + Rutgers March 2020)
7. Number theory and geometry for black holes (Stanford University, Mar 2019)
8. DMZ revisited: Comments on negative discriminat states and exact black hole degeneracies (University of Amsterdam, February 2019)
9. Exact entropy and Rademacher series for orbifolded BPS black holes @ Moonshine (ESI Vienna, September 2018)

Vertex operator algebras

1. Rethinking complex multiplication (Bhubaneshwar, December 2025)
2. When is a vertex operator algebra with an abelian variety target space rational? (ICTS Bangalore, June 2025)
3. An introduction to moonshine and vertex operator algebras (Hannover, April 2022)
4. An introduction to topological modular forms, N = 1 VOA’s and error correction codes, (Lisbon, Dec 2021 + Vienna, November 2021)

Moonshine

1. Introduction to moonshine (Istanbul, December 2020)
2. The Mathieu 24 group and the elliptic genus of superconformal field theory @ Workshop on supersymmetric quantum field theories in the non-perturbative regime (GGI Florence, May 2018)
3. BPS algebras and Moonshine (IST Lisbon , October 2018)

Wall crossing

1. Wall crossing and BPS jumping in string and supersymmetric field theories (TU Wien/Uni Wien, October 2019) 1. An introduction to wall crossing and Stokes phenomena (Hannover, April 2022) 1. \(\Gamma_0(N)\), quantum black holes and wall crossing (IST Lisbon , October 2018) 1. Dyon wall crossing, automorphic forms and exact entropy of CHL black holes (MPP Munich , November 2018)

Mathematical Physics Colloquia

1. BPS Partition Functions: From physics, to number theory, to geometry (Hannover, May 2022)
2. Auguries of Physical Mathematics: What is quantum gravity trying to tell us? (TU Wien, November 2018)