Extremal LatticesExplores extremal lattices, emphasizing bounds on shortest vectors and unique modular forms.
Gaussian Curvature and GeodesicsExplores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.
E8 Lattice OptimalityDelves into the construction and optimality of the E8 lattice as the densest sphere packing in dimension eight.