Arithmetic Geometry#
Elliptic Curves
Elliptic curve models, arithmetic and isogenies.
Hyperelliptic Curves
Hyperelliptic curve models and divisor arithmetic.
Jacobians
Jacobian varieties of curves and their group structure.
Rational Points & Descent
2-descent, Selmer groups and rational point search.
Representations of Local Fields
Admissible representations of GL2(Qp) and local Langlands.