Lattices and Quadratic Forms

Lattices

Integer lattice construction, bases, reduction and enumeration.

Lattices

Lattices over Number Fields

Lattices over number fields, including Lorentzian lattices.

Lattices over Number Fields

Lattices with Group Action

Lattices with a group action: automorphisms and isometries.

Lattices with Group Action

Quadratic Forms

Quadratic forms: construction, local invariants and equivalence testing.

Quadratic Forms

Binary Quadratic Forms

Binary quadratic forms: reduction, invariants and class groups.

Binary Quadratic Forms