The arithmetic of supersingular elliptic curves

  • Delbourgo, Daniel (Primary Chief Investigator (PCI))
  • Benois, Denis (Partner Investigator (PI))
  • Venjakob, Otmar (Partner Investigator (PI))

Project: Research

Project Details

Project Description

The project aims to reveal the hidden arithmetical properties of elliptic curves, at their so-called ''''supersingular'''' primes. This has fundamental consequences both to our understanding of elliptic curve theory, and to non-commutative Iwasawa theory in general. The investigators expect to discover/develop: (i) the asymptotic behaviour of supersingular elliptic curves over p-adic Lie extensions; (ii) a deeper understanding of the infamous Birch and Swinnerton-Dyer conjecture; (iii) a numerical method of computing L-values over non-abelian field extensions. The software developed will be marketed as part of the MAGMA computer package.
StatusFinished
Effective start/end date4/01/1031/12/13

Funding

  • Australian Research Council (ARC): AUD145,000.00
  • Australian Research Council (ARC): AUD5,000.00
  • Monash University
  • Australian Research Council (ARC)
  • Australian Research Council (ARC)