Ramsey Theory Courses and Certifications

BIMSA

Recent Progress in Ramsey Theory

Explore recent advancements in Ramsey Theory, focusing on new techniques and proofs related to Ramsey numbers and graph coloring. Gain insights into geometric, algebraic, probabilistic, and combinatorial methods.

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

Centre de recherches mathématiques - CRM

Ramsey Theory, Sparsity and Limits - Combinatorics and Model Theory

Explore Ramsey theory, graph sparsity, and structural limits in combinatorics and model theory. Discover connections between these diverse areas and uncover intriguing open problems.

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

Banach Center

Some Old and New Problems and Results in Ergodic Ramsey Theory

Explore the intersection of ergodic theory and combinatorics through classic and contemporary problems in Ergodic Ramsey Theory with insights from advanced mathematical research.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

Probabilistic Methods in Combinatorics

Master probabilistic methods in combinatorics and theoretical computer science, exploring random constructions, extremal set theory, and advanced mathematical concepts for proving existence of combinatorial objects.

• MIT OpenCourseWare
• On-Demand
• Free Online Course

IAS | PCMI Park City Mathematics Institute

Arithmetic Ramsey Theory - Part 2

Explore advanced Ramsey-theoretic questions in abelian groups, covering van der Waerden's theorem and modern additive combinatorics tools for density and partition regularity.

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

IAS | PCMI Park City Mathematics Institute

Arithmetic Ramsey Theory - Part 1

Explore arithmetic Ramsey theory fundamentals, covering van der Waerden's theorem and modern additive combinatorics tools to prove density and partition regularity of linear configurations.

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

IAS | PCMI Park City Mathematics Institute

Arithmetic Ramsey Theory - Part 3

Explore advanced Ramsey-theoretic questions in abelian groups, covering van der Waerden's theorem and modern additive combinatorics tools for proving density and partition regularity.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

BIMSA

Ergodic Ramsey Theory: Or, A New New Newtonian Dynamics

Explore the development of ergodic Ramsey theory from Newtonian dynamics, tracing intellectual advancements from Poincaré and Birkhoff to Furstenberg, with insights into recent trends and related research.

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

Instituto de Matemática Pura e Aplicada

Ramsey Theory and Random Graphs - Lecture 3

Explore Ramsey Theory and Random Graphs in this advanced doctoral lecture, delving into complex mathematical concepts and their applications in graph theory.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Ramsey Theory and Random Graphs - 2023

Explore advanced mathematical concepts connecting Ramsey theory with random graph structures through comprehensive doctoral-level instruction by Professor Rob Morris.

• YouTube
• 7 hours 22 minutes
• On-Demand
• Free Video

Numberphile

Schur Numbers - The World's Biggest Proof

Discover Schur numbers and explore the mathematical proof that became the world's largest, featuring combinatorial number theory and computational mathematics breakthroughs.

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

Instituto de Matemática Pura e Aplicada

Ramsey Theory and Random Graphs - Lecture 4

Explore Ramsey Theory and Random Graphs in this advanced doctoral lecture, delving into complex mathematical concepts and their applications in graph theory.

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

Probabilistic Methods in Combinatorics - Fall 2024

Discover powerful probabilistic techniques for solving complex combinatorial problems, including Ramsey theory, extremal set theory, and random graph analysis.

• YouTube
• 3 hours 37 minutes
• On-Demand
• Free Video

Insights into Mathematics

Combinatorics - Math History - NJ Wildberger

Explore combinatorics through historical examples, counting problems, graph theory, and generating functions. Delve into partitions, Fibonacci numbers, Catalan sequence, and famous theorems in this engaging mathematical journey.

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

Wrath of Math

Van der Waerden Numbers and Arithmetic Progressions in Integer Colorings

Explore Van der Waerden's theorem and Ramsey theory through 2-colorings of integers, discovering how arithmetic progressions emerge and understanding fundamental mathematical bounds and proofs.

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