Combinatorics Courses and Certifications

Kimberly Brehm

Discrete Math II - Combinatorics

Explore advanced combinatorics, including permutations, generating functions, recurrence relations, graph theory, and algorithms, enhancing problem-solving skills in discrete mathematics.

• YouTube
• 12 hours
• On-Demand
• Free Video

statisticsmatt

Combinatorial Results

Explore combinatorial principles and their applications in probability, including dice games, card probabilities, and lottery analysis, with practical examples and derivations.

• YouTube
• 6 hours
• On-Demand
• Free Video

Alan Turing Institute

Learning From Ranks, Learning to Rank - Jean-Philippe Vert, Google Brain

Explore differentiable approaches to integrate permutations, sorting, and ranking in machine learning, focusing on embedding techniques and relaxation of ranking operators.

• YouTube
• 42 minutes
• On-Demand
• Free Video

Insights into Mathematics

The S3 Character Table - A New Meaning - Diffusion Symmetry

Explore the S3 character table from a diffusion symmetry perspective, uncovering new interpretations in group theory, combinatorics, and algebraic structures.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Insights into Mathematics

Higher Data Structures - Data Structures in Mathematics Math Foundations

Explore advanced mathematical data structures, including nested combinations of lists, ordered sets, multisets, and sets. Learn their applications in combinatorics, graph theory, and other mathematical fields.

• YouTube
• 27 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Spacetime and Quantum Mechanics; Particles and Strings; Polytopes, Binary Geometries and Quiver Categories - Nima Arkani-Hamed

Explore connections between particle physics and mathematics, revealing how spacetime and quantum mechanics emerge from fundamental mathematical structures in combinatorics, algebra, and geometry.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

Institute for Advanced Study

An Introduction to Determinantal Point Processes - John C Urschel

Explore determinantal point processes: definition, examples, and applications in random matrix theory, combinatorics, and machine learning. Survey key results and open questions.

• YouTube
• 2 hours 10 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Representation Theory & Combinatorics of the Symmetry Group and Related Structures - Monica Vazirani

Explore symmetry group representation theory and combinatorics, focusing on cycle notation, permutations, and linearization techniques for advanced mathematical analysis.

• YouTube
• 56 minutes
• On-Demand
• Free Video

IEEE

Explicit Near-Fully X-Ramanujan Graphs

Explore finite graphs resembling infinite ones, focusing on Ramanujan graphs and spectral properties. Learn about matrix-weighted polynomials and permutation-based approaches.

• YouTube
• 22 minutes
• On-Demand
• Conference Talk

IEEE

A Deterministic Algorithm for Counting Colorings with 2Δ Colors

Explore a deterministic algorithm for counting colorings, delving into phase transitions, partition functions, and entropy conditions in graph theory.

• YouTube
• 22 minutes
• On-Demand
• Conference Talk

Joint Mathematics Meetings

Algebraic Structures on Polytopes

Explore algebraic structures on polytopes, delving into combinatorics, Hopf monoids, and generalized permutahedra. Gain insights into mathematical applications and current research directions.

• YouTube
• 58 minutes
• On-Demand
• Conference Talk

Society for Industrial and Applied Mathematics

Families of Polynomials in Biochemical Reaction Networks

Exploring polynomial systems in biochemical reaction networks, focusing on computational techniques for analyzing families of polynomials with combinatorial structures derived from reaction digraphs.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Let's Code Physics

The Lonely Runner Conjecture - Simulation and Explanation

Explore the intriguing Lonely Runner Conjecture through simulation, understanding its simplicity and the challenge of proving it conclusively.

• YouTube
• 15 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Chirality and Quantifying Embeddability

Explore chirality, embeddings, and non-embeddability in topology, with applications to chemical structures and generalizations of classical results.

• YouTube
• 42 minutes
• On-Demand
• Free Video

Fields Institute

Stability and Combinatorics in Pure Model Theory - Lecture 11

Explore stable graph regularity, stability, and homogeneity in pure model theory, with insights on bipartite graphs and function control.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Video