Volume Growth of Positive Contactomorphisms

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

Explores the homology of Riemann surfaces, including singular homology and the standard n-simplex.

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

Symplectic Geometry

Covers the background on symplectic geometry, focusing on symplectic manifolds and canonical structures.

Symplectic Rigidity: Forms of Symplectic Rigidity

Explores symplectic rigidity, including rigidity, flexibility, and dynamical rigidity, with a focus on symplectic manifolds and Lagrangian submanifolds.