Lattices and Quadratic Forms
Lattices
Integer lattice construction, bases, reduction, and enumeration.
Lattices over Number Fields
Lattices over number fields, including Lorentzian lattices.
Lattices with Group Action
Lattices with a group action: automorphisms and isometries.
Quadratic Forms
Quadratic forms: construction, local invariants, and equivalence testing.
Binary Quadratic Forms
Binary quadratic forms: reduction, invariants, and class groups.