Institute for Advanced Study Courses

The Polynomial Method and the Restriction Problem - Larry Guth

Explore the polynomial method and restriction problem in mathematics, featuring insights on visualizing concepts, analyzing proofs, and examining algebraic potential.

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

Math in the Real World - More Than Just a Numbers Game

Explore how mathematics shapes product lifecycles and impacts modern careers, with insights from industry leaders on its role in R&D, manufacturing, marketing, and supply chain.

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

Sovereign Power, Death, and Monuments - Zainab Bahrani

Explores ancient Mesopotamian monuments, examining their timeless significance in relation to law, sovereign power, and biopolitics through archaeological analysis and critical theory perspectives.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Integer-Valued Gromov-Witten Type Invariants - Guangbo Xu

Explore integer-valued Gromov-Witten type invariants in symplectic geometry, focusing on genus zero cases for symplectic manifolds. Learn about recent developments and their applications in mathematical research.

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

Stop Explaining Black Box Machine Learning Models for High Stakes Decisions and Use Interpretable Models Instead - Cynthia Rudin

Advocating for interpretable machine learning models in high-stakes decisions, highlighting their reliability and transparency compared to black box models with potentially misleading explanations.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Introduction to Interpretable Machine Learning II - Cynthia Rudin

Explore interpretable machine learning with a focus on decision trees, information theory, and analytical bounds. Gain insights into modern approaches and practical applications.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Introduction to Interpretable Machine Learning - Cynthia Rudin

Explore interpretable machine learning with Cynthia Rudin, covering classification, natural language processing, and decision trees. Gain insights into model complexity and information theory applications.

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

Neutrino Quantum Kinetics in Neutron Star Mergers - Sherwood Richers III

Explore neutrino quantum kinetics in neutron star mergers, focusing on flavor transformation, radiation transport, and their impact on heavy element formation and kilonova observations.

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

Spacetime, Quantum Entanglement and Black Holes

Explore quantum entanglement's role in resolving spacetime puzzles, focusing on black holes and their connections to various physics fields. Four researchers present fascinating insights.

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

Ultralight Dark Matter and Cosmological Condensed Matter Physics - Evan McDonough

Explore ultralight dark matter theories, their exotic phenomena, and experimental tests across cosmic scales. Delve into composite models and their observables, connecting to early dark energy and the Hubble tension.

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

Singularity Formation for Reduced Models of Fluid Equations - Mimi Dai

Explore singularity formation in reduced fluid equation models, focusing on electron magnetohydrodynamics and its connection to Euler equations. Gain insights into nonlinear dynamics and finite-time singularities.

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

Some Progress on Categorical Local Langlands - Linus Hamann

Exploration of categorical local Langlands correspondence, discussing recent progress, proofs, and implications for number theory and algebraic geometry.

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

Combinatorial Invariance: A Case Study of Pure Math / Machine Learning Interaction - Geordie Williamson

Explore the intersection of pure mathematics and machine learning through the lens of combinatorial invariance, featuring insights on neural networks and their application to mathematical conjectures.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Localization Schemes - A Framework for Proving Mixing Bounds for Markov Chains

Explore a unified framework for proving mixing bounds in Markov chains, connecting Spectral Independence and Stochastic Localization techniques through the concept of localization schemes.

• YouTube
• 2 hours 5 minutes
• Self-Paced
• Free Video

Random Matrix Models, 2D Quantum Gravity, and Holography - Part 1 - Clifford Johnson

Explore random matrix models, focusing on the Gaussian Unitary Ensemble and its applications to gravity, holography, and quantum physics. Discover new insights into discrete spectra and non-perturbative information.

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