Combinatorial Mathematics Courses and Certifications

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

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

Combinatorial Mathematics

Explore counting, arrangements, and finite systems in mathematics. Learn applications in computer science, cryptography, and more. Develop problem-solving skills for various fields.

• Swayam
• 16 weeks
• On-Demand
• Free Online Course

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

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

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

Applied Algebraic Topology Network

Kohei Tanaka - Sectional Category for Maps of Finite Spaces

Explore combinatorial approaches to sectional category in finite T_0 spaces, examining McCord maps, weak homotopy equivalences, and Fadell-Neuwirth fibrations through computational examples.

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

Applied Algebraic Topology Network

Parametrized Topological Complexity of Hyperplane Arrangement Bundles

Exploring parametrized motion planning in hyperplane arrangement bundles, focusing on topological complexity under supersolvability conditions. Joint work with Dan Cohen.

• YouTube
• 51 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

IMSA

A Categorical Interpretation of the GKZ D-Module

Explore the categorical interpretation of GKZ D-modules in toric homological mirror symmetry, focusing on B-side categories and characteristic cycle strata.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Superport Networks: Generalizing Kirchhoff's Matrix-Tree Theorem

Exploration of multiport networks, generalizing Kirchhoff's theorem with novel mathematical approaches. Insights into electrical engineering applications and superport network theory.

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

Kolmogorov-Seminar

Rectangles, Complexity and Games in Communication Theory - December 4, 2023

Delve into communication complexity theory through rectangles, exploring inequality principles, combinatorial strategies, and their applications in computational game theory.

• YouTube
• 1 hour 58 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Geometry of Delta-Matroids

Explore advanced geometric constructions in delta-matroids, examining their relationship to matroids and proving ultra log-concavity of independent sets in mathematical structures.

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

Probabilidades e Combinatória

126 ratings at Udemy

Ideal para os alunos do 12º ano da disciplina de Matemática A

• Udemy
• 3-4 hours
• On-Demand
• Free Online Course

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)