Combinatorics Courses and Certifications

Applied Algebraic Topology Network

Data Complexes, Obstructions, Persistent Data Merging

Explore data complexes, topological obstructions in database JOIN operations, and persistence levels in data alignment. Learn about measure theory, homotopy, and homology in the context of data integration.

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

Hausdorff Center for Mathematics

Growth in Linear Algebraic Groups and Permutation Groups

Exploración de límites de diámetro en grupos simétricos y algebraicos lineales, con énfasis en técnicas simplificadas y conexiones entre diferentes enfoques matemáticos.

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

Hausdorff Center for Mathematics

Monica Vazirani- Representations of the Affine BMW Category

Explore Walker's TQFT-motivated construction of affine BMW category representations, their combinatorial description, and implications for affine BMW algebra representations in this advanced mathematics lecture.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Marina Iliopoulou- Three Polynomial Methods for Point Counting, Lecture III

Explore advanced polynomial techniques for solving geometric problems, including Dvir's method, polynomial partitioning, and slice rank method in finite-field settings.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

International Centre for Theoretical Sciences

It Is Entropy That Counts by Jaikumar Radhakrishnan

Explore Shannon entropy's applications in combinatorics and computer science, including randomized two-party communication complexity and quantum communication complexity of Set Disjointness problem.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Universes as Bigdata- From Geometry, to Physics, to Machine-Learning

Explore the intersection of string theory, geometry, and machine learning in physics, examining how AI aids mathematical research across various fields.

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

Applied Algebraic Topology Network

Topology of Complexes and Distributed Computing

Exploring simplicial models in distributed computing, focusing on chromatic subdivisions and Weak Symmetry Breaking, with insights into combinatorial-simplicial questions and related mathematical challenges.

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

Applied Algebraic Topology Network

Topology and Combinatorics of Fair Division

Explore the intersection of topology and combinatorics in fair division problems, examining mathematical techniques for equitable resource allocation and distribution.

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

International Mathematical Union

Joel Kamnitzer- Perfect Bases in Representation Theory- Three Mountains and Their Springs

Exploration of perfect bases in representation theory, examining three approaches and their combinatorial implications for tensor product multiplicities in semisimple groups.

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

Applied Algebraic Topology Network

Wanted- Topologists for Autonomous Robots Community

Exploring topological complexity in robotics: from path planning to task spaces. Insights into rigorous formulations for robotic autonomy, emphasizing environment topology and combinatorics in cooperative motion.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Introduction to Cluster Algebras and Their Types - Lecture 1

Explore cluster algebras: quivers, mutations, exchange graphs. Learn foundations and key concepts of this algebraic framework with applications across mathematics.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Khan Academy

Introduction to the Normal Distribution - Probability and Statistics

Explore the normal distribution in statistics, understanding its key concepts and applications. Learn to analyze data patterns and make informed predictions using this fundamental probability model.

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

Ruby Central

The Math Every Programmer Needs

Explore practical applications of discrete math in programming, including Boolean algebra, combinatorics, and graph theory, to enhance your coding skills and problem-solving abilities.

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

Simons Institute

Random Restrictions and Fourier Concentration - Part 2

Explore advanced concepts in Fourier analysis and random restrictions, focusing on their applications in theoretical computer science and mathematical analysis.

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

Simons Institute

Random Restrictions and Fourier Concentration - Part 1

Explore random restrictions and Fourier concentration in analysis and theoretical computer science with MIT researcher Esty Kelman.

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