Talks

Here are some of the talks that I have given in the past, or will give in the near future. Not all talks listed here.

A more comprehensive list of talks is listed here.

A partial list of talks is available here, arranged topic wise.

Math talks

Analyitc and computational number theory/ Arithmetic geometry
  1. Arithmetic statistics of weight 2 Hecke eigencusp forms (Lisbon, October 2024)
  2. Computational aspects of the Langlands program (Zurich, August 2024)
  3. The Siegel-Weil theorem, (Vienna, April 2024)
  4. Analytic number theory techniques for the applied mathematician: Rational point counts to Feynman integrals, (Leipzig, March 2024)
  5. Algebraic and arithmetic aspects of abelian varieties, (Potsdam Math Dept, Feb 2024)
  6. Introduction to the Birch & Swinnerton-Dyer Conjecture, (Cambridge, Oct 2023)
  7. Hyperelliptic curve invariants, Siegel modular functions and applications, (Cambridge, Oct 2023)
  8. The Katz-Sarnak Philisophy, (Tokyo, Apr 2023)
  9. Lectures on automorphic forms and L-functions, (ICTS Bangalore, Apr 2023)
  10. Noether-Lefschetz theory and counting nodal curves on K3 surfaces, (Stony Brook, Nov 2022)
  11. Calabi-Yau manifolds and sporadic groups ( University of Vienna and IMSc Chennai, Nov 2017; Indian Institute of Science, Dec 2017)

Mixed talks on 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, Sep 2021)
  4. Generalized Siegel-Weil formula, 3d Gravity, & Chern-Simons invariants (Vienna, Jun 2021)
Automorphic forms
  1. Hilbert modular forms, Niemeier Lattices and Octonionic black holes, (Trieste, June 2022 + Cornell, Nov 2022)
  2. Application of mock modular forms in string theory, (Stony Brook, Nov 2022)
Zeta functions
  1. Modularity and L-values of BPS black holes from arithmetic statistics (AEI Potsdamm, Dec 2024)
  2. Arithmetic structures in physics, (AEI Potsdam, Feb 2024 + CNRS Montpellier, Mar 2024)
  3. Zeta and L-functions in physics, (Lehigh, Nov 2022)
  4. Arithmetic chaos, zeroes of the Riemann \(\zeta(s)\) function and topological recursions (TU Wien, Sept 2019)
Black holes in string theory and supergravity
  1. Gravitational path integrals for N = 4 black holes, (IISc Bangalore, Apr 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, Nov 2021 + Nagoya Oct 2021)
  4. Supersymmetric localization and BPS state counting in SCFTs (IPMU, Oct 2020)
  5. Mock modular black hole entropy from half BPS states (Video file) (Lisbon, Sept 2020)
  6. 1/4 BPS black hole degeneracies from 1/2-BPS black hole degeneracies (Stanford, Jan 2020 + ICTP, Jan 2020 + Rutgers Mar. 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, Feb 2019)
  9. Exact entropy and Rademacher series for orbifolded BPS black holes @ Moonshine (ESI Vienna, Sep 2018)
Mathematical aspects of conformal field theory
  1. An introduction to moonshine and vertex operator algebras, (Hannover, Apr 2022)
  2. An introduction to topological modular forms, N = 1 VOA’s and error correction codes, (Lisbon, Dec 2021 + Vienna, Nov 2021)
Moonshine
  1. Introduction to moonshine (Istanbul, Dec 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 , Oct 2018)
Wall crossing
  1. Wall crossing and BPS jumping in string and supersymmetric field theories (TU Wien/Uni Wien, Oct 2019)
  2. An introduction to wall crossing and Stokes phenomena, (Hannover, Apr 2022)
  3. $\Gamma_0(N)$, quantum black holes and wall crossing (IST Lisbon , Oct 2018)
  4. Dyon wall crossing, automorphic forms and exact entropy of CHL black holes (MPP Munich , Nov 2018)
Colloquia
  1. Colloquium: New advances in computer assisted number theory and arithmetic geometry, Potsdam, May 2024
  2. BPS Partition Functions: From physics, to number theory, to geometry, (Hannover, May 2022) (Riemann Lecture)
  3. Colloquium: "Auguries of Physical Mathematics: What is quantum gravity trying to tell us?" (TU Wien, Nov 2018)