Institute for Advanced Study Courses

A Survey on the Restriction Conjectures

Explore restriction conjectures in harmonic analysis through a comprehensive mathematical survey by Hong Wang from IHES and NYU.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

A Sampling of Minimization Problems

Explore fundamental minimization problems in mathematics with Abel Prize winner Karen Uhlenbeck, covering key concepts and applications in this advanced mathematical lecture.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Quintics, Braids and Billiards, After Abel

Explore the intricate connections between quintic equations, braid theory, and billiard dynamics in this advanced mathematical lecture by Curtis McMullen from Harvard University.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Topological Versions of the Rokhlin Lemma

Explore topological extensions of the classical Rokhlin Lemma for amenable group actions on compact spaces, bridging ergodic theory and topological dynamics with modern applications.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

Non-Squeezing and Other Rigidity Results in LCS Geometry

Explore rigidity phenomena in locally conformally symplectic geometry, including non-squeezing theorems and spectral selectors for Hamiltonian diffeomorphisms on specific manifolds.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Modularity of Special Cycles II

Explore advanced mathematical concepts in special cycles and their modular properties through expert analysis and theoretical frameworks in this specialized research seminar.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Dynamics of Stellar Binaries in the Centers of Galaxies

Explore stellar binary dynamics in galactic centers, covering hypervelocity stars, tidal disruption events, and theoretical predictions for binary evolution near supermassive black holes.

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

The Communication Complexity of Distributed Estimation

Explore advanced communication complexity theory through distributed estimation problems, where parties hold probability distributions rather than singleton inputs.

• YouTube
• 1 hour 49 minutes
• Self-Paced
• Free Video

Munsee Delaware Story Evening - "Éenda Pumchéhlayeengw Lakehead Shkoolíikaan" - Story 2 of 3

Discover traditional Munsee Delaware storytelling with Kristin Jacobs sharing "Éenda Pūmchéhlayeengw Lakehead Shkoolíikaan" in both Munsee and English languages.

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

Munsee Delaware Story Evening - First Kiss of Snow - Story 3 of 3

Discover Munsee Delaware storytelling traditions through "First Kiss of Snow" and cultural narratives shared by Indigenous storytellers and artists in both Munsee and English languages.

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

2025 Munsee Delaware Story Evening - NEEKAAWA KIHTAACHIIMUWAK WULAAKWUNUWII

Experience traditional Munsee Delaware storytelling with native speakers sharing three stories in both Munsee and English, plus insights into language preservation and artistic interpretation.

• YouTube
• 1 hour 26 minutes
• Self-Paced
• Free Video

Abel at IAS - Welcome Remarks on Mathematical Excellence and the Future of the Abel Prize

Discover insights into mathematical excellence and the Abel Prize's future as IAS Director David Nirenberg and Committee Chair Helge Holden discuss emerging computational tools reshaping mathematics.

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

Tropical Wave-Fronts and Nodal Tangles

Explore tropical geometry applications to symplectic 4-manifolds and toric fibrations, examining moduli spaces and connectivity through advanced mathematical techniques.

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

Open Gromov-Witten Invariants for Even-Dimensional Lagrangians

Explore genus zero open Gromov-Witten invariants for even-dimensional Lagrangians using canonical bounding cochains with non-commutative coefficients and quadric computations.

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

Equidistribution of Expanding Horospheres in the Space of Translation Surfaces

Explore equidistribution of expanding horospheres in translation surfaces, proving Forni's conjecture and extending Eskin-Mirzakhani results with applications to rational angle billiards.

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