Institute for Advanced Study Courses

Quasipolynomial Bounds for Some Problems in Extremal Combinatorics

Explore quasipolynomial bounds in extremal combinatorics with Zander Kelley, examining key problems and recent advancements in this mathematical field.

• YouTube
• 17 minutes
• Self-Paced
• Free Video

Homotopy Rigidity of Nearby Lagrangian Fibers

Explore homotopy rigidity of nearby Lagrangian fibers in this advanced mathematical talk by Yash Deshmukh, delving into complex geometric structures and topological relationships.

• YouTube
• 18 minutes
• Self-Paced
• Free Video

Top Heaviness in Combinatorics and Geometry

Explore top heaviness in combinatorics and geometry, examining its applications and implications in mathematical research.

• YouTube
• 19 minutes
• Self-Paced
• Free Video

What We Think We Know About Lyman Alpha Emitting Galaxies - Lecture

Explore high-redshift Lyman Alpha Emitting galaxies, examining common assumptions and their validity. Discover ongoing research methods to test these hypotheses about LAEs.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

The Isoperimetric Problem in Cubes and Torii

Explore the isoperimetric problem in cubes and torii, delving into geometric principles and mathematical concepts with Federico Glaudo's insightful analysis.

• YouTube
• 23 minutes
• Self-Paced
• Free Video

Arithmetic Quantum Unique Ergodicity for Hyperbolic Manifolds

Explore quantum unique ergodicity in hyperbolic manifolds, focusing on arithmetic aspects and their implications in mathematical physics and number theory.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Additive Structures in Subset Sums, Non-Averaging Sets and Convex Geometry

Explore additive structures in subset sums, non-averaging sets, and convex geometry with insights from postdoctoral research in advanced mathematics.

• YouTube
• 19 minutes
• Self-Paced
• Free Video

Gröbner Objects in Schubert Calculus

Explore Gröbner objects and their applications in Schubert calculus, delving into advanced algebraic geometry concepts.

• YouTube
• 19 minutes
• Self-Paced
• Free Video

KP Solutions from Algebraic Curves and the Positive Grassmannian

Explore KP solutions derived from algebraic curves and the positive Grassmannian in this advanced mathematical talk by Yelena Mandelshtam.

• YouTube
• 19 minutes
• Self-Paced
• Free Video

Chow Polynomials of Matroids

Explore the intriguing world of Chow polynomials in matroid theory with Luis Ferroni's concise presentation on this advanced mathematical concept.

• YouTube
• 15 minutes
• Self-Paced
• Free Video

K-Theory and Dualizable Categories

Explore K-theory and dualizable categories with Grigory Andreychev, delving into advanced mathematical concepts and their applications in theoretical physics.

• YouTube
• 19 minutes
• Self-Paced
• Free Video

Microlocalization and General Linear Combinations

Explore advanced mathematical concepts of microlocalization and general linear combinations in this concise talk by Bradley Dirks from the Institute for Advanced Study.

• YouTube
• 16 minutes
• Self-Paced
• Free Video

Non Abelian Hodge Theory in Positive Characteristic

Explore non-abelian Hodge theory in positive characteristic with Siqing Zhang, delving into advanced mathematical concepts and their applications.

• YouTube
• 19 minutes
• Self-Paced
• Free Video

Trees, Self Dual Gravity, and Gravity MHV Amplitudes - Lecture on Lw1+infinity Algebra

Explore self-dual metrics, tree diagrams, and their connection to graviton MHV scattering in Einstein gravity. Delve into the NSVW tree formula and Lw1+infinity algebra applications.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

A New Approach to Strong Convergence - Lecture 1

Explore a novel approach to strong convergence in graph theory, addressing Alon's conjecture and extending Friedman's theorem with applications to random graphs, geometry, and operator algebras.

• YouTube
• 2 hours 7 minutes
• Self-Paced
• Free Video