Combinatorial Geometry Courses and Certifications

Instituto de Matemática Pura e Aplicada

Combinatorial Synergies in Geometry and Number Theory - On the Degree of the Tropical 1-fold Abel-Prym Map

Delve into Giusi Capobianco's exploration of the degree of the tropical 1-fold Abel-Prym map, part of a workshop connecting combinatorial methods with algebraic geometry and number theory.

• YouTube
• 16 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

A Review of the Notion of Graph Rigidity and Recent Developments in Combinatorial Geometry

Explore the mathematical concept of graph rigidity, from fundamental definitions to recent developments in combinatorial geometry and Erdős-type problems in framework analysis.

• YouTube
• 2 hours 1 minute
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Combinatorial Synergies in Geometry and Number Theory

Explore toric equidistribution theory with Martín Sombra in this mathematical lecture that bridges combinatorial methods with algebraic geometry and number theory.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Combinatorial Synergies in Geometry and Number Theory - Mini-course - 04

Delve into Kris Shaw's fourth lecture on Combinatorial Geometry and Hodge Theory, exploring advanced mathematical concepts at the intersection of combinatorics, algebraic geometry, and number theory.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Symmetries and Chern Classes - From Combinatorial Geometry to Algebraic and Applied Topology

Explore how Chern classes connect three mathematical areas: Tverberg-Vrećica conjecture, complex line fields on manifolds, and persistent equivariant cohomology of circles.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Combinatorial Algebraic Geometry - Tropical and Real

Explore advanced tropical geometry, real algebraic geometry, and combinatorial methods through expert lectures covering polytopes, optimization, quantum field theory, and geometric applications.

• YouTube
• 1 day 14 hours 25 minutes
• Self-Paced
• Free Video

BIMSA

Degeneration of Singular Circle Patterns

Explore singular Euclidean circle patterns, cone-angle maps, and degeneration schemes. Analyze the structure of cone-angle polytopes and their relationship to admissible partial edge orientations.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Combinatorial Synergies in Geometry and Number Theory (2025)

Explore advanced combinatorial methods bridging algebraic geometry and number theory through expert lectures, mini-courses, and research presentations from leading mathematicians worldwide.

• YouTube
• 19 hours 39 minutes
• Self-Paced
• Free Video

Stanford Lecture - Don Knuth - "A Conjecture That Had To Be True"

Donald Knuth explores a fascinating problem in combinatorial geometry, presenting an intriguing formula and its unexpected universal application, showcasing the beauty of mathematical discovery.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

IMSA

On the Kontsevich Geometry of the Combinatorial Teichmüller Space

Explore combinatorial Teichmüller space, global Fenchel-Nielsen coordinates, and Kontsevich symplectic form. Learn about integrating geometric functions over combinatorial moduli spaces in this advanced mathematics lecture.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Geometric Vertex Decomposition in Combinatorial Algebraic Geometry

Delve into advanced mathematical concepts of geometric vertex decomposition, exploring its relationships with algebraic geometry, combinatorial theory, and Frobenius splitting.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Wrath of Math

His Homework's a Crazy Hard 100 Year Old Puzzle - Mrs. Perkin's Quilt Problem

Uncover the fascinating history behind Mrs. Perkin's Quilt, a century-old mathematical puzzle that connects primary school homework to advanced research in squaring problems.

• YouTube
• 18 minutes
• Self-Paced
• Free Video

Fields Institute

Geometric Constraint Systems

Explore rigidity theory, tropical geometry, matrix completion, and graphical models through comprehensive lectures on geometric constraint systems and their applications in data science.

• YouTube
• 20 hours 48 minutes
• Self-Paced
• Free Video

Wrath of Math

The Broken Stick Triangle Problem - Probability and Geometric Solutions

Explore the legendary 1854 Cambridge probability puzzle about breaking a stick and forming triangles, revealing common misconceptions and elegant solutions.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

International Mathematical Union

The Geometry of Geometries - Matroid Theory, Old and New

Explore matroid theory's origins, connections, and recent geometric advances in combinatorial mathematics, highlighting matroid polytope, Bergman fan, and conormal fan models.

• YouTube
• 46 minutes
• Self-Paced
• Free Video