Machine Learning — Video Lectures Curated lectures on deep learning, ML for mathematics, and derived geometry.
Machine Learning for Mathematics (12 Lectures) Research talks exploring the intersection of machine learning and pure mathematics — from knot invariants to L-functions.
Machine learning smooth 4-genus of a knot — Giorgi Butbaia Learning the effective dynamics of complex systems — Petros Koumoutsakos Singularities in fluids — Tristan Buckmaster Learning the Topological Invariance of Knots — James Halverson Discovering New Mathematical Structures with ML — Kyu-Hwan Lee Generative modeling with flows & diffusions — Eric Vanden Eijnden AI for Mathematics: Digitization to Intelligentization — Bin Dong Image Generation by Score Diffusion & Renormalisation — Stephane Mallat Sparse subgraphs of the d-cube with diameter d — Wagner et al. Learning Euler factors of elliptic curves with transformers — Angelica Babei AI assisted mathematics — Yang Hui He Machine learning L-functions — Edgar Costa Deep Learning (11 Lectures) A full deep learning course covering neural network architectures, optimization, and modern techniques.
Deep Learning — Lecture 1 (9/10/2024) Deep Learning — Lecture 2 (9/12/2024) Deep Learning — Lecture 3 (9/17/2024) Deep Learning — Lecture 4 (9/19/2024) Deep Learning — Lecture 5 (9/24/2024) Deep Learning — Lecture 6 (9/26/2024) Deep Learning — Lecture 7 (10/1/2024) Deep Learning — Lecture 8 (10/8/2024) Deep Learning — Lecture 9 (10/11/2024) Deep Learning — Lecture 10 (10/15/2024) Deep Learning — Lecture 11 (10/22/2024) Derived Algebraic & Differential Geometry (12 Lectures) Special lecture series on derived algebraic and differential geometry — model categories, Grothendieck topologies, Artin stacks, and shifted symplectic structures.
Introduction: Derived Algebraic/Differential Geometry Lecture 1: Model and ∞-categories Lecture 2: Grothendieck topologies and homotopy descent Lecture 3: Derived Artin stacks Lecture 5: De Rham complexes and S¹-equivariant schemes Lecture 6: Chern character Lecture 7: Local structure of closed differential forms (Part I) Lecture 8: Local structure of closed differential forms (Part II) Lecture 9: Cyclic homology Lecture 10: Definition and existence results Lecture 11: Lagrangians and Lagrangian fibrations (Part I) Lecture 12: Lagrangians and Lagrangian fibrations (Part II)