
Explore random maps and 2D geometries, examining scaling limits, combinatorial tools, and connections to conformal random fields. Gain insights into discrete random metric surfaces and their convergence properties.

Explore integrability in condensed matter physics and quantum field theory through the quantum deformed Haldane Shastry model at q=i.

Explore integrability in condensed matter physics and quantum field theory through double scaling limits of rectangular fishnets.

Explore connections between modular forms and differential equations, from historical origins to modern applications in mathematics and physics.

Explore non-invertible symmetries and boundary conditions in quantum field theories, focusing on 1+1d conformal field theories and their applications in various physics phenomena.

Explore representation theory in non-unitary physical systems, focusing on reducible but indecomposable representations and their importance in statistical loop models and CFT.

Explore extensions of affine algebra VOAs, focusing on V(g,k) for simple Lie algebras. Learn about finite-index extensions, simple currents, and quantum subgroups in module category classification.

Explore a purely algebro-geometric proof of the Verlinde formula, examining recurrence relations for curve genus and parabolic points in generalized theta function spaces.

Explore the connection between Schramm-Loewner Evolution, Gaussian Free Field, and Liouville Quantum Gravity through a novel, accessible approach for non-specialists.

Explore quantum field theories in 6 dimensions, string theory concepts, and their implications for understanding fundamental physics, black holes, and geometric mathematics.

Dive into advanced string theory concepts, exploring the worldsheet approach to AdS3/CFT2 correspondence through detailed mathematical analysis and theoretical frameworks.

Delve into advanced string theory concepts and explore the intricate relationship between AdS3 and CFT2 through detailed worldsheet analysis and mathematical frameworks.

Delve into advanced string theory concepts and explore the intricate relationship between AdS3 and CFT2 through detailed worldsheet analysis and mathematical frameworks.

Delve into advanced string theory concepts and explore the intricate relationship between AdS3 and CFT2 through detailed worldsheet analysis and mathematical frameworks.

Delve into advanced string theory concepts and explore the intricate relationship between AdS3 and CFT2 through detailed worldsheet analysis and theoretical frameworks.

Delve into advanced mathematical concepts connecting conformal field theory with Bun_G geometry, exploring conformal blocks, Kac-Moody algebras, and non-abelian theta functions.

Delve into advanced mathematical concepts of vertex operator algebras, screening methods, W-algebras, and their applications in geometric Langlands theory and integrable systems with Boris Feigin.

Explore celestial holography, soft symmetries, and particle-like backgrounds in quantum field theory. Gain insights into celestial shockwave correlators and the celestial distance conjecture.

Explore holographic CFTs and strongly coupled AdS matter, focusing on recent developments in conformal field theory and their implications for quantum gravity and holography.

Explores distribution of ground states in JT gravity using random matrix models, discussing thermodynamics, string equations, and kernels. Offers insights into holography and quantum gravity foundations.

Explores isometric evolution in de Sitter gravity, focusing on boundary conditions, large diffeomorphisms, and wave functions. Discusses implications for higher-dimensional gravity and quantum mechanics.