Modularity of some elliptic curves over totally real fields

Description

In this thesis, we investigate modularity of elliptic curves over a general totally real number field, establishing a finiteness result for the set non-modular j-invariants. By analyzing quadratic points on some modular curves, we show that all elliptic curves over certain real quadratic fields are modular. / Mathematics

Links & Downloads

1. Le hung, Bao Viet. 2014. Modularity of some elliptic curves over totally real fields. Doctoral dissertation, Harvard University.
2. http://dissertations.umi.com/gsas.harvard:11464
3. http://nrs.harvard.edu/urn-3:HUL.InstRepos:12269826

Tags

Mathematics

Number Theory

Additional Fields

Identifer	oai:union.ndltd.org:harvard.edu/oai:dash.harvard.edu:1/12269826
Date	06 June 2014
Creators	Le hung, Bao Viet
Contributors	Taylor, Richard
Publisher	Harvard University
Source Sets	Harvard University
Language	en_US
Detected Language	English
Type	Thesis or Dissertation
Rights	open