Combinatorial Mathematics Courses and Certifications

Institute for Advanced Study

Combinatorial Inequalities and Combinatorial Interpretations - Part I

Explore classical inequalities in enumerative and algebraic combinatorics, their combinatorial interpretations, and their impact on the field. Gain insights into complexity theoretic aspects.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Jeremy Klassen

Combinations with Restrictions - Lesson 1.3.1

Master solving complex combination problems with restrictions through step-by-step methods and practical examples that enhance your mathematical problem-solving abilities.

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

Fields Institute

Jets of Clutters in Algebraic Geometry

Dive into the mathematical theory of jets and clutters, exploring advanced concepts and applications through expert analysis from Cleveland State University mathematics research.

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

Institute for Advanced Study

Quasipolynomial Bounds for Some Problems in Extremal Combinatorics

Explore quasipolynomial bounds in extremal combinatorics with Zander Kelley, examining key problems and recent advancements in this mathematical field.

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

Combinatorial Mathematics | 组合数学

2 reviews

探索组合数学的基础理论和应用，从古代故事到现代算法，掌握离散元素分析的关键技能，为计算机科学奠定基础。

• edX
• 12 weeks, 4-6 hours a week
• On-Demand
• Free Online Course (Audit)

Centre International de Rencontres Mathématiques

Descriptive Graph Combinatorics and Advanced Topics in Combinatorial Mathematics

Explore advanced mathematical topics through expert lectures on graph theory, random structures, algebraic combinatorics, and their applications in modern mathematics.

• YouTube
• 1 week 2 days 20 hours 33 minutes
• On-Demand
• Free Video

BIMSA

Spread Approximations and Intersection Problems

Explore the spread approximation method and its applications to intersection problems in combinatorics, including recent results on spanning trees, permutations, and forbidden sunflowers.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Random Cayley Graphs and Additive Combinatorics from a Combinatorial Perspective

Explore random Cayley graphs and additive combinatorics from a combinatorial perspective in this lecture by Huy Tuan Pham at the 2nd Brazilian School of Combinatorics.

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

Hausdorff Center for Mathematics

Panorama of Mathematics - A Panoramic Tour Through Combinatorial Optimization

Explore combinatorial optimization with Michel Goemans in this insightful lecture, covering new trends, results, and challenges in mathematical sciences.

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

Wrath of Math

The Mathematics Behind an Impossible Card Trick - A Combinatorial Analysis

Uncover the mathematical secrets behind a seemingly impossible card trick through combinatorial analysis and learn a practical method to perform this mind-bending illusion yourself.

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

Institute for Advanced Study

Beyond the g-Conjecture in Combinatorial Mathematics

Delve into McMullen's g-conjecture, its historical significance, and recent breakthroughs in combinatorics, including the 2020 proof involving anisotropy of quadratic forms in characteristic 2.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Insights into Mathematics

The Deep Structure of the Rational Numbers - Real Numbers and Limits Math Foundations

Explores the deep structure of rational numbers, focusing on their layered nature within [0,1]. Covers key concepts like Farey sequences and Ford circles, emphasizing rationals' importance in modern mathematics.

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

Simons Institute

Real-Rooted Polynomials

Explore real-rooted polynomials, their properties, and connections to combinatorics in this comprehensive lecture covering fundamental theorems, root interlacing, and applications to random spanning trees.

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

Crossing Number Inequality in Graph Theory and Combinatorics

Explore the probabilistic method in combinatorics and its application to graph theory, focusing on proving the crossing number inequality in graph drawings.

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

Hausdorff Center for Mathematics

On Circuit Imbalance Measures and Their Role in Circuit Augmentation Algorithms

Explore new combinatorial condition numbers for linear and integer programs, their relation to existing measures, and their impact on circuit diameter bounds and simplex methods.

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