Representation of SL2ZDelves into the representation of SL2Z and the function F, exploring its transformation properties and relation to modular forms.
Macdonald identitiesDelves into Macdonald identities, covering affine root systems, modular forms, and Lie algebras.
Extremal LatticesExplores extremal lattices, emphasizing bounds on shortest vectors and unique modular forms.
L-values and ExtensionsExplores de Rham theory, L-values, and extensions, including special value formulas and examples related to Hecke characters and modular forms.
E8 Lattice OptimalityDelves into the construction and optimality of the E8 lattice as the densest sphere packing in dimension eight.
Topology of AdelesCovers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.