Non-Euclidean Geometry Courses and Certifications

Insights into Mathematics

Visualizing Quadrance with Circles - Universal Hyperbolic Geometry - NJ Wildberger

Explore quadrance in universal hyperbolic geometry through circles, examining their appearance as ellipses, parabolas, or hyperbolas with different centers, enhancing understanding of this fundamental concept.

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

Insights into Mathematics

Reflections and Projective Linear Algebra - Universal Hyperbolic Geometry

Explore reflections in hyperbolic geometry through projective linear algebra. Learn about null points, reflection matrices, and the sl(2) Lie algebra. Gain insights into fundamental symmetries and their mathematical representations.

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

Institute for Advanced Study

Bounds in Renormalized Volume for Hyperbolic 3-Manifolds - Franco Vargas Pallete

Explore advanced geometric concepts in hyperbolic 3-manifolds, focusing on renormalized volume bounds, mean curvature, and variation formulas through rigorous mathematical analysis.

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

Applied Algebraic Topology Network

Hubert Wagner - Topological Data Analysis in Non-Euclidean Spaces

Explore topological data analysis in non-Euclidean spaces, focusing on techniques for applying TDA tools and their applications in detecting neural network backdoor attacks.

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

Institut des Hautes Etudes Scientifiques (IHES)

The Loewner Energy at the Crossroad of Random Conformal Geometry - Lecture 4

Explore the Loewner energy's role in random conformal geometry, connecting SLE, Weil-Petersson quasicircles, and diverse mathematical fields. Gain insights into curve roundness and its implications.

• YouTube
• 2 hours 5 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

The Loewner Energy at the Crossroad of Random Conformal Geometry - Lecture 2

Explore the Loewner energy's role in random conformal geometry, connecting SLE, Weil-Petersson quasicircles, and various mathematical branches. Gain insights into curve roundness and its implications.

• YouTube
• 1 hour 53 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

The Loewner Energy at the Crossroad of Random Conformal Geometry - Lecture 1

Explore the Loewner energy's role in random conformal geometry, connecting SLE, Weil-Petersson quasicircles, and various mathematical branches. Gain insights into curve roundness and its implications across multiple fields.

• YouTube
• 1 hour 52 minutes
• Self-Paced
• Free Video

Negatively Curved Crystals - Exploring Infinite Patterns

Explore the fascinating world of negatively curved crystals and their infinite patterns with Fields Medal winner Curtis McMullen in this engaging TEDx talk.

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

Insights into Mathematics

Rational Curvature of Polytopes and the Euler Number - Algebraic Topology Lecture 16

Explore the relationship between polyhedron curvature and Euler number using rational formulation. Learn about Harriot's theorem and analyze various polyhedra, including tetrahedron, cube, and dodecahedron.

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

Insights into Mathematics

Geometer's Sketchpad and Circles in Universal Hyperbolic Geometry - Lecture 25

Explore Geometer's Sketchpad for dynamic illustrations in universal hyperbolic geometry. Learn custom tools, construct point duals, and discover various circles, including equidistant curves, in hyperbolic space.

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

Insights into Mathematics

The Circle and Projective Homogeneous Coordinates in Universal Hyperbolic Geometry - Lecture 7b

Explores projective geometry as the foundation of universal hyperbolic geometry, focusing on the circle in projective homogeneous coordinates and its significance in mathematics and physics.

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

Google TechTalks

Pathwise Conditioning and Non-Euclidean Gaussian Processes

Explore advanced Gaussian process techniques for efficient Bayesian optimization, including pathwise conditioning and models on graphs and manifolds, enhancing decision-making in complex settings.

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

TipTut

Make an Impossible 3-Worlds-In-1 Pyramid in Blender - Eevee & Cycles

Learn to create a mind-bending 3-worlds-in-1 pyramid using Blender's view layers and compositing techniques. Master non-Euclidean geometry in both Eevee and Cycles rendering engines.

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

Mathemaniac

Why All Maps Are Wrong - Theorema Egregium

Explore Theorema Egregium's geometric proof, revealing why no world map can preserve both area and angles. Understand curvature, spherical areas, and the Gauss map in this mathematical journey.

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

International Mathematical Union

Groups Acting on Hyperbolic Spaces - A Survey

Explore group actions on hyperbolic spaces with Mladen Bestvina in this comprehensive survey, covering key concepts, recent developments, and applications in geometric group theory.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video