Hyperbolic Geometry Courses and Certifications

Insights into Mathematics

Midpoints and Bisectors - Universal Hyperbolic Geometry

Explore midpoints and bisectors in hyperbolic geometry, including reflections, perpendicularity, and geometric constructions. Learn key differences from Euclidean geometry in this advanced mathematical exploration.

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

IMSA

Homology Cobordism and the Geometry of Hyperbolic Three-Manifolds

Explore the interaction between hyperbolic geometry and homology cobordism using monopole Floer homology, focusing on subgroups generated by hyperbolic homology spheres.

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

International Centre for Theoretical Sciences

Hyperbolic Geometry, the Modular Group and Diophantine Approximation - Lecture 1

Explore hyperbolic geometry, modular groups, and Diophantine approximation in this advanced lecture. Delve into fundamental concepts, geodesic flows, and subgroups of SL(2,R), with proofs and examples.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Open Data Science

From Hyperbolic Geometry to Data Clustering

Explore how hyperbolic geometry and knot theory inspire innovative data clustering algorithms, bridging abstract mathematics with practical data science applications.

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

Centre de recherches mathématiques - CRM

Efficiently Chopping a Hyperbolic Surface in Two - Cheeger Constants and Spectral Geometry

Explore the Cheeger constant of hyperbolic surfaces, its relation to spectral gaps, and recent findings on its upper bound for large genus surfaces. Gain insights into cutting Riemannian manifolds efficiently.

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

Centre International de Rencontres Mathématiques

The Geometry of Random Genus-0 Hyperbolic Surfaces via Trees

Explore the geometry of random genus-0 hyperbolic surfaces through tree structures in this advanced mathematical lecture by Timothy Budd.

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

Hausdorff Center for Mathematics

Probabilistic Methods in Hyperbolic Geometry

Explore probabilistic approaches to solve geometric and topological questions in hyperbolic manifolds, bridging mathematics domains through innovative analytical techniques.

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

BIMSA

Hyperbolic Summation and Hyperbolic Convex Geometry

Explore hyperbolic summation and develop hyperbolic convex geometry, extending classical Euclidean concepts to hyperbolic space through innovative mathematical frameworks.

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

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups (2025)

Explore cutting-edge developments in hyperbolic geometry and group theory through expert lectures and hands-on minicourses from leading mathematicians worldwide.

• YouTube
• 1 day 6 hours 39 minutes
• On-Demand
• Free Video

ICTP Mathematics

Advanced School and Workshop on Geometry of Discrete Actions

Explore discrete group actions in geometry through hyperbolic spaces, complex dynamics, Teichmüller theory, and holomorphic dynamics with leading mathematicians.

• YouTube
• 1 day 16 hours 38 minutes
• On-Demand
• Free Video

IIT Kanpur;  NPTEL

An Introduction to Hyperbolic Geometry

Explore hyperbolic geometry and its applications in group theory, covering models, isometries, Fuchsian groups, and hyperbolic surfaces, with insights into geometric group theory.

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

International Centre for Theoretical Sciences

Hyperbolic Surfaces and Their Teichmüller Spaces - Lecture 2

Explore hyperbolic surfaces, Teichmüller spaces, and surface group representations. Delve into geometric structures, developing maps, and holonomy representations in this advanced mathematics lecture.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups

Delve into advanced hyperbolic geometry concepts through an exploration of manifolds, submanifolds, and fundamental groups, with insights from leading mathematician Monika Kudlinska.

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

Hausdorff Center for Mathematics

Some Comments on the Fundamental Gap of the Dirichlet Laplacian in Hyperbolic Space

Explore the fundamental gap of convex domains in hyperbolic space, comparing it with Euclidean space and examining different types of convexity in this advanced mathematical analysis.

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

QuantumTopology

On Volumes of Compact and Non-Compact Right-Angled Hyperbolic Polyhedra

Explore the mathematical intricacies of right-angled hyperbolic polyhedra, examining volume calculations for both compact and non-compact forms in this advanced geometry lecture.

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