Manifolds in Maryland
Exploring the fascinating world of geometry.
Kickstarted by Tamás Darvas (@tamdarv), the channel features insightful contributions from Jakob Hultgren, Dan Horstman (@howtuts6591), Elliot Kienzle (@chessapigbay), Yanir Rubinstein and other members of the Department of Mathematics at the University of Maryland.
Partially supported by the NSF.
Billiards and Moduli Spaces - Curtis McMullen
Entropy: From Algebraic Integers to Dynamics on Surfaces - Curtis McMullen
Breaking the Enigma Code - Zbigniew Blocki
Scott Wolpert on not hearing the shape of the drum
Beneath the Surface - interview with Scott Wolpert
Visualizing Conic Sections Using Blender and Desmos
Rotations in 3D Graphics With Quaternions
Geometry With Compass and Straightedge
Using Voronoi Diagrams In Computer Graphics
Normal Vectors and Their Applications in Computer Graphics
Euler's formula and spherical geometry
The Bergman kernel of the polydisk and the ball
What is the Bergman kernel?
The Cartan-Hadamard theorem
The Hopf-Rinow Theorem
Lie derivatives of differential forms
Poincare recurrence
Liouville's Theorem through Symplectic Geometry
What is the tangent bundle?
Duality in Optimal Transport
Optimal Transport (According to Leonid Kantorovich)
Optimal Transport (according to Gaspard Monge)
Curvature of a surface, only using calculus
What is a manifold?
Domains of holomorphy and Dolbeault cohomology
The Cartan-Thullen theorem
What are domains of holomorphy?
Analytic continuation in higher dimensions
The Cobordism Exhibition