Modular Bootstrap for BPS Black Holes
Explore modular bootstrap techniques for analyzing BPS black holes, uncovering insights into their quantum properties and thermodynamics.
Quantum Cosmology as Automorphic Dynamics
Explore quantum cosmology through automorphic dynamics, delving into advanced theoretical concepts and their implications for our understanding of the universe's origins and evolution.
Introduction to Sphere Packing Problems by Abhinav Kumar
Explore sphere packing in geometry, covering its history, applications, and recent advances. Learn about lattices, codes, bounds, and energy minimization in various dimensions.
GPPV Invariants and the Spectrum of Singularities
Explore complex surface singularities, their 3-manifold links, and GPPV invariants. Discover new connections between modular forms and singularity spectra for Brieskorn homology spheres and ADE singularity links.
An Interview with Neal Koblitz - Elliptic Curve Cryptography and Beyond
Renowned mathematician Neal Koblitz discusses his groundbreaking work in elliptic curve cryptography, its impact on modern security, and his insights on the field's evolution and future directions.
Symmetry, Almost
Explore mathematical symmetry, from abstract concepts to modular forms and quantum modular forms, with applications in various fields of mathematics and physics.
A Non-Formal Formula for the Rankin Cohen Deformation Quantization
Explore the Rankin-Cohen deformation quantization, its connections to modular forms and foliations, and discover a new oscillatory integral formula for Zagier's UDF.
Single-valued Integrals and Modular Forms
Delve into advanced mathematical concepts exploring the relationship between single-valued integrals and modular forms, with applications in analytic number theory and complex analysis.
Picard-Fuchs Equations and Modular Forms - Applications and Theory
Explore the intricate relationship between Picard-Fuchs equations and modular forms, examining their mathematical applications and theoretical foundations in algebraic differential equations.