Graph Theory Courses

Hausdorff Center for Mathematics

Towards the Taming Theorem of Jahnke and Kartas Which Applies the AKE-Theory

Explore advanced model theory through AKE principles for henselian valued fields, from classical equal characteristic cases to tame fields and the groundbreaking Taming Theorem.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Harvard CMSA

Non-Perturbative Aspects of Self-Dual Gauge Theory

Explore non-perturbative effects in self-dual gauge theory, including beta-function computations via Grothendieck-Riemann-Roch and holographic methods, plus novel QCD calculations.

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

Harvard CMSA

Graph Integrals on Kähler Manifolds

Explore convergence of graph integrals on analytic Kähler manifolds and their applications to constructing geometric invariants of Calabi-Yau metrics in holomorphic quantum field theory.

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

Isaac Newton Institute for Mathematical Sciences

Topological Quantum Field Theory - From Physics to Mathematics and Back

Explore the fascinating bridge between physics and mathematics through topological quantum field theory in this public lecture by Professor Ilka Brunner.

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

IPhT-TV

Determination and Validation of Modeling and Theory Uncertainties

Explore advanced techniques for determining and validating modeling and theory uncertainties in theoretical physics with expert insights from Stefano Forte.

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

Michael Penn

A Completely Average Number Theory Contest Problem

Dive into solving a typical number theory competition problem with step-by-step mathematical reasoning and problem-solving techniques.

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

Fields Institute

Trustworthy Virtual Brain Twins - From Theory to Clinical Applications

Discover how virtual brain twins bridge theoretical neuroscience with clinical practice for trustworthy medical applications.

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

M-Seminar, Kansas State University

Hyperbolic Localization in Donaldson-Thomas Theory - Part 3 of 3

Explore hyperbolic localization in Donaldson-Thomas theory, covering vanishing cycles, shifted symplectic geometry, and wall-crossing formulas for Calabi-Yau threefolds.

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

M-Seminar, Kansas State University

Hyperbolic Localization in Donaldson-Thomas Theory - Part 2 of 3

Explore hyperbolic localization in Donaldson-Thomas theory, focusing on perverse sheaves and critical loci of functions on Calabi-Yau threefold moduli spaces.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Bridging Scales in Materials Modeling with Atomistic Simulations, Information Theory, and Generative Models

Explore advanced techniques for bridging scales in materials modeling using atomistic simulations, information theory, and generative models in electrochemical systems.

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

Institute for Pure & Applied Mathematics (IPAM)

Algorithmic Differentiation for Plane-Wave Density Functional Theory

Discover algorithmic differentiation techniques for plane-wave density-functional theory, combining AD and DFPT for material inverse design and uncertainty propagation.

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

Institute for Pure & Applied Mathematics (IPAM)

Unified Quantum Theory of Electrochemical Kinetics by Coupled Ion-Electron Transfer

Explore a groundbreaking quantum theory unifying electrochemical kinetics through coupled ion-electron transfer, bridging quantum chemistry with battery and electrocatalysis applications.

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

NPTEL-NOC IITM

Covariance vs Invariance Principles - Metric as a Dynamical Variable in General Coordinate Invariant Theory

Explore the fundamental distinction between covariance and invariance principles in general relativity, examining how metrics function as dynamical variables.

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

Society for Industrial and Applied Mathematics

High-Performance Matrix-Based Graph Analysis

Explore cutting-edge matrix-based graph analysis techniques for large-scale networks through four expert talks covering hypersparse matrices, GraphBLAS, SparseBLAS, and Arachne framework.

• YouTube
• 2 hours 3 minutes
• Self-Paced
• Free Video

NCCR SwissMAP

On Connections Between Modular Forms and Coding Theory

Explore the fascinating connections between modular forms and coding theory in this mathematical workshop presentation by Jolanta Marzec-Ballestros.

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