Lectures related to Exotic sphere

Explores conformal maps, hyperbolic geometry, and isometric properties of disks.

Explains closed surfaces like spheres, cubes, and cones without covers, and their traversal and removal of edges.

Explores geodesics on surfaces, focusing on minimizing distances and properties of paths, with examples like great circles on spheres.

Sphere, Cone, and Paraboloid

Explores the intersection of a sphere, cone, and paraboloid in 3D space.

Intersection between Sphere and Cone

Explores the intersection between a sphere and a cone using spherical and cylindrical coordinates.

Sphere Geometry: Properties and Projections

Explores sphere properties, projections, and symmetry, including apparent contours and missing projections of points.

Descriptive Geometry: The Sphere

Covers the missing projection of points on a sphere using principal planes.

Center of Gravity and Variable Change

Discusses center of gravity, variable change, spherical coordinates, and bijectivity in mathematical analysis.

Perspective of a Sphere & a Circle

Explores conical sections, plane curves, and the perspective of a sphere and a circle.

Geometric Surfaces: Paraboloid and Hyperboloid Concepts

Covers the geometric properties of hyperbolic paraboloids and hyperboloids, focusing on their construction and curvature characteristics.

Volume Growth of Positive Contactomorphisms

Covers the growth of positive contactomorphisms in Legendrian spheres and symplectic forms.

Geometric Surfaces: Paraboloids and Hyperboloids in Architecture

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

Multiple Integration: Spherical Coordinates

Explains multiple integration using spherical coordinates to calculate volumes of spheres and ellipsoids.

Postnikov tower + cool stuff

Covers the Postnikov tower, homotopy fibers, suspension, and the James construction.

Surfaces: Curvature and Development

Explores surfaces with variable curvature, constant curvature, and gothic surfaces, as well as singularities and the inversion of normals.

Sailing Ships: Dray, Sailing & Foiling

Explores the dynamics of sailing ships, including drag, sail design, and foiling.

Descriptive Geometry: The Sphere

Explores the definitions, properties, and symmetry of spheres, including tangent planes and section circles.

Quantum Gravity: Conformal Field Theory Perspectives

Covers the relationship between conformal field theory and Liouville quantum gravity, focusing on correlation functions and the implications of cutting LQG by SLE loops.

Graph Surfaces and Sphere in Spherical Coordinates

Covers graph surfaces with an example of a surface defined by a parametric equation.

Heterogeneous Reactions: Transport Effects

Explores transport effects in heterogeneous catalysis, including molecular diffusion and Knudsen diffusion in different types of pores.