Graph Theory Courses

Institute for Advanced Study

A Geometric View on Iwasawa Theory - Mladen Dimitrov

Explore a geometric perspective on Iwasawa theory, covering higher dimensions, periodic representations, and key concepts in number theory with Mladen Dimitrov from Université de Lille.

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

Institute for Advanced Study

Using Discrepancy Theory to Improve the Design of Randomized Controlled Trials - Daniel Spielman

Explore discrepancy theory's application in randomized controlled trials, enhancing experimental design and statistical analysis for more accurate and efficient research outcomes.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Graph and Hypergraph Sparsification - Luca Trevisan

Explore graph and hypergraph sparsification techniques with Luca Trevisan, covering spectral definitions, irregular graphs, and unweighted graphs. Gain insights into advanced discrete mathematics concepts.

• YouTube
• 1 hour 34 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Lower Bounds in Complexity Theory, Communication Complexity, and Sunflowers - Toniann Pitassi

Explore lower bounds in complexity theory, communication complexity, and sunflowers. Delve into Boolean circuits, formulas, and key lemmas with expert insights from Toniann Pitassi.

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

Institute for Advanced Study

Proofs, Circuits, Communication, and Lower Bounds in Complexity Theory - Robert Robere

Explore advanced concepts in complexity theory, including proofs, circuits, and communication, with a focus on lower bounds and their implications for computational limits.

• YouTube
• 1 hour 59 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Lie Algebras and Homotopy Theory - Jacob Lurie

Explore connections between Lie algebras and homotopy theory, covering fundamental groups, Whitehead brackets, and Quillen's theorem in this advanced mathematics seminar.

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

Institute for Advanced Study

Extremal Set Theory - Andrey Kupavskii

Explore extremal set theory with Andrey Kupavskii, covering shifting techniques, partial orders, and the Katniss Theorem. Gain insights into minimizing shadows and analyzing complex cases in discrete mathematics.

• YouTube
• 1 hour 52 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Representational Power of Graph Neural Networks - Stefanie Jegelka

Explore the representational power of Graph Neural Networks, focusing on message passing, aggregation operations, and their impact on network structure and reasoning tasks.

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

Institute for Advanced Study

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
• Self-Paced
• Free Video

Institute for Advanced Study

Existence Theory of Minimal Hypersurfaces - Fernando Marquez

Explore the existence theory of minimal hypersurfaces, covering minimax theorems, space of cycles, and volume spectrum. Gain insights into Ricci curvature and generic metrics.

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

Security BSides San Francisco

Six Degrees of Infiltration - Using Graph to Understand Your Infrastructure and Optimize Security Decision Making

Explore graph-based solutions for consolidating security intelligence and improving decision-making in complex infrastructures, using tools like Neo4j to enhance visibility and risk assessment.

• YouTube
• 31 minutes
• Self-Paced
• Conference Talk

Hussein Nasser

On Graph Databases - The Backend Engineering Show

Explore database constraints, indexing, storage engines, and graph databases. Understand how different database types address various use cases and optimize performance.

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

Black Hat

Breaking the Attack Graph - How to Leverage Graphs to Strengthen Security in a Domain Environment

Explore how defenders can leverage graph-based thinking to strengthen security in domain environments, adapting to sophisticated attackers and enhancing prevention, detection, and investigation strategies.

• YouTube
• 26 minutes
• Self-Paced
• Conference Talk

ChariotSolutions

AI: A Return to Meaning - From Theory-Driven to Data-Driven Approaches

Explore AI's evolution from theory-driven to data-driven approaches, examining Watson's development and the future of machine learning, reasoning, and natural language understanding.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

3Blue1Brown

Group Theory, Abstraction, and the 196,883-Dimensional Monster

Explore group theory, abstraction, and the fascinating 196,883-dimensional monster group in this engaging introduction to mathematical symmetry and classification.

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