Graph Theory Courses

NorthSec

Persōna Theory - Infiltration and Deception of Emerging Threat Groups

Explore advanced techniques for infiltrating threat actor groups using persona construction, linguistics, OPSEC, and social engineering with real ransomware case studies.

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

UofU Data Science

Graph Embeddings - MDS, Laplacians, and Graph Neural Networks - L23

Explore graph embeddings through MDS, Laplacians, and Graph Neural Networks while examining the ethics of embedding technologies in data science applications.

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

Institute for Advanced Study

Introduction to Non-abelian Hodge Theory

Discover Simpson's correspondence between complex local systems and semistable Higgs bundles, generalizing classical Hodge theory for smooth projective varieties.

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

Stony Brook Mathematics

100 Years of Morse Theory

Explore the evolution of Morse theory from its 1925 origins to modern applications in symplectic topology, covering Witten's formalism and Floer's developments.

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

Institut des Hautes Etudes Scientifiques (IHES)

Small Scale Index Theory, Scalar Curvature, and Gromov's Simplicial Norm

Explore how scalar curvature constrains manifold topology through small scale index theory and Gromov's simplicial norm in this advanced mathematical research talk.

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

GERAD Research Center

A Graph-Theoretical View of Chemistry

Explore graph theory applications in chemistry to model molecular structures and optimize degree-based topological indices for conjugated systems like alkenes and fullerenes.

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

NPTEL-NOC IITM

Summary of Electrode Theory

Grasp fundamental electrode theory principles and their applications in electrochemical systems through this concise overview.

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

AI Institute at UofSC - #AIISC

Data and Knowledge-Driven Processes for the Knowledge Graph Lifecycle

Explore data and knowledge-driven processes essential for managing the complete knowledge graph lifecycle with expert insights from Joey Yip.

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

INI Seminar Room 2

From Continuum to the Lattice in Conformal Field Theory

Explore the mathematical bridge connecting continuous and discrete formulations in conformal field theory with Prof. Runkel's expert analysis.

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

INI Seminar Room 2

A Mathematical Theory of the Gapped/Gapless Boundaries of 2+1D Topological Orders

Explore mathematical frameworks for understanding gapped and gapless boundaries in 2+1D topological quantum systems through advanced theoretical physics.

• YouTube
• 2 hours 28 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Computability and Definability - Theory and Application - Lecture 3

Explore advanced mathematical definability theory, covering computability, Turing jumps, arithmetic hierarchies, and applications to normality and Hausdorff dimension.

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

Hausdorff Center for Mathematics

Computability and Definability - Theory and Application - 2

Explore mathematical definability theory, covering computability, Turing jumps, arithmetic hierarchies, and applications to topological complexity and real number analysis.

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

Hausdorff Center for Mathematics

Computability and Definability - Theory and Application - 1

Explore mathematical definability theory, covering computability, Turing jumps, arithmetic hierarchies, and applications to topological complexity and real number analysis.

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

Hausdorff Center for Mathematics

Model Theory and Definability - Session 2

Explore model-theoretic methods in number theory, focusing on compactness, quantifier elimination, and definability of henselian valuations with practical applications.

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

Hausdorff Center for Mathematics

Model Theory and Definability - Session 1

Discover model-theoretic methods and their applications in number theory, covering first-order logic, compactness, quantifier elimination, and definability of henselian valuations.

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