Institute for Advanced Study Courses

The Universe Speaks in Numbers - Backstory - Graham Farmelo

Explore the profound connection between physics and mathematics, tracing its history from Newton to Einstein and examining its potential for unifying our understanding of the universe's fundamental laws.

• YouTube
• 34 minutes
• On-Demand
• Free Video

The Universe Speaks in Numbers - Robbert Dijkgraaf and Edward Witten in Conversation

Renowned physicists discuss the interplay between physics and mathematics, exploring their potential unification and the quest for fundamental laws of the universe.

• YouTube
• 22 minutes
• On-Demand
• Free Video

Uniform Rectifiability via Perimeter Minimization IV - Tatiana Toro

Explore advanced mathematical concepts in uniform rectifiability and perimeter minimization with expert Tatiana Toro in this in-depth lecture from the Women and Mathematics series.

• YouTube
• 57 minutes
• On-Demand
• Free Video

Viscosity Solutions Approach to Variational Problems - Daniela De Silva

Explore viscosity solutions for variational problems with Daniela De Silva. Learn about Laplace's equation, Harnack inequality, and discrete equations in this advanced mathematics lecture.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Fluctuations Look Like White Noise - Laure Saint-Raymond

Explore the fascinating world of fluctuations, white noise, and statistical physics with insights on collision operators and the Central Limit Theorem.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

A Recent Perspective on Invariant Theory - Viswambhara Makam

Explore recent advancements in invariant theory, covering graph isomorphism, matrix invariants, and tensor factors. Gain insights into succinct encoding, upper bounds, and degree bounds in this mathematical field.

• YouTube
• 1 hour
• On-Demand
• Free Video

The General Case? - Amie Wilkinson

Explore ergodicity, Boltzmann's ideas, and recent developments in dynamical systems with mathematician Amie Wilkinson in this engaging seminar on the concept of "the general case".

• YouTube
• 58 minutes
• On-Demand
• Free Video

A Brief Tour of Proof Complexity - Lower Bounds and Open Problems - Toniann Pitassi

Explore proof complexity, lower bounds, and open problems in computer science and discrete mathematics with insights on proof systems and their limitations.

• YouTube
• 1 hour 46 minutes
• On-Demand
• Free Video

Geometry of 2-Dimensional Riemannian Disks and Spheres - Regina Rotman

Explore 2D Riemannian geometry, focusing on disks and spheres. Learn about geodesics, sweep-outs, and curve shortening through examples and problem-solving.

• YouTube
• 1 hour
• On-Demand
• Free Video

Singularities of Teichmueller Harmonic Map Flow - Melanie Rupflin

Explore singularities in Teichmueller harmonic map flow, covering gradient flow, conformity, symmetries, and rescaled flow behavior in this advanced mathematical analysis.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Successes and Challenges in Neural Models for Speech and Language - Michael Collins

Explore neural models' impact on speech and language processing, examining successes, challenges, and key architectures in parsing, word embeddings, and transformers.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Reproducible, Reusable, and Robust Reinforcement Learning - Joelle Pineau

Explore reproducibility, reusability, and robustness in reinforcement learning. Delve into policy gradient methods, hyperparameter interplay, fair comparisons, and real-world applications of RL algorithms.

• YouTube
• 40 minutes
• On-Demand
• Free Video

The Epistemology of Deep Learning - Yann LeCun

Explore deep learning's scientific foundations with Yann LeCun, examining its biological inspirations, historical development, and theoretical underpinnings in pattern recognition and neural networks.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Troubling Trends in ML Scholarship - Zachary Lipton

Exploration of concerning trends in machine learning research, examining the balance between empirical and theoretical approaches, and discussing potential solutions for improving scientific rigor.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Brief Introduction to Deep Learning and the "Alchemy" Controversy - Sanjeev Arora

Explore deep learning's scientific foundations and the "Alchemy" debate, examining optimization, overfitting, and the interpreter problem in neural networks.

• YouTube
• 40 minutes
• On-Demand
• Free Video