Graph Theory Courses

Applied Algebraic Topology Network

Greg Henselman - Matroids & Canonical Forms Theory and Applications

Explore matroids and canonical forms, their theoretical foundations, and practical applications in algebraic topology and related fields.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

International Mathematical Union

30 Years of Modularity - Number Theory Since the Proof of Fermat's Last Theorem

Explore advancements in number theory since Fermat's Last Theorem, focusing on modularity and its impact on mathematical research over the past three decades.

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

International Mathematical Union

Joel Kamnitzer- Perfect Bases in Representation Theory- Three Mountains and Their Springs

Exploration of perfect bases in representation theory, examining three approaches and their combinatorial implications for tensor product multiplicities in semisimple groups.

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

International Mathematical Union

Mean Curvature and Variational Theory

Explores recent developments in prescribing mean curvature equations, focusing on existence theory, min-max theory for CMC/PMC surfaces, and Morse theory for area functional. Includes solution to Multiplicity One Conjecture.

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

International Mathematical Union

Probability Theory for Random Groups Arising in Number Theory

Explores probability theory for random groups in number theory, topology, and combinatorics. Covers moment problems, universality theorems, and distributions of class groups and Selmer groups.

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

International Mathematical Union

Algebraic-Geometrical Methods in the Theory of Integrable Systems

Explore algebraic-geometrical methods in integrable systems theory with renowned mathematician Igor Krichever, delving into advanced mathematical concepts and their applications.

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

International Mathematical Union

The Geometry of Geometries - Matroid Theory, Old and New

Explore matroid theory's origins, connections, and recent geometric advances in combinatorial mathematics, highlighting matroid polytope, Bergman fan, and conormal fan models.

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

International Mathematical Union

Control Theory of Stochastic Distributed Parameter Systems - Some Recent Progresses

Recent advancements in stochastic distributed parameter control systems, focusing on controllability of hyperbolic equations and Pontryagin-type maximum principle for controlled stochastic evolution equations.

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

International Mathematical Union

Miklós Abert- Groups, Manifolds and Graph Limits

Explore connections between groups, manifolds, and graph limits in mathematics, uncovering fascinating relationships and applications in diverse areas of study.

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

International Mathematical Union

Measurable Graph Combinatorics

Explore measurable graph combinatorics with Andrew Marks, delving into advanced mathematical concepts and their applications in this insightful lecture.

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

International Mathematical Union

Homotopy Patterns in Group Theory

Explore homotopy patterns in group theory, delving into advanced mathematical concepts and their applications in topology and algebra.

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

Institute for Pure & Applied Mathematics (IPAM)

Density Functional Theory - IPAM at UCLA

Comprehensive exploration of density functional theory, covering advanced concepts and applications in materials science, presented by Prof. Vikram Gavini at IPAM's exascale mathematics workshop.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Density Functional Theory - IPAM at UCLA

Comprehensive introduction to density functional theory, exploring its principles and applications in materials science and computational physics.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Graph MLP-Mixer for Molecular Analysis - IPAM at UCLA

Explores Graph MLP-Mixer, a novel GNN architecture overcoming limitations in graph representation learning, offering improved long-range dependencies and efficiency for molecular analysis.

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

Institute for Pure & Applied Mathematics (IPAM)

Explainable Structured Machine Learning in Similarity, Graph and Transformer Models

Explores techniques for explaining complex machine learning models, focusing on similarity, graph, and transformer structures. Discusses applications in knowledge evolution, gender bias, and task-solving.

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