Rational points through graded Lie algebras

Lead Research Organisation: University of Cambridge
Department Name: Pure Maths and Mathematical Statistics

Abstract

The aim of this project will be to extend partial results connecting descent calculations on algebraic curves with the theory of graded Lie algebras from the case of simply laced Lie algebras to the general case. This should have applications to the study of average sizes of Selmer groups and to machine computation of the Selmer group associated to a family of isogenies.

Publications

10 25 50

Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/N509620/1 01/10/2016 30/09/2022
2114472 Studentship EP/N509620/1 01/10/2018 30/09/2021 Jef Laga