Modularity of some elliptic curves over totally real fields
Contributors: Taylor, Richard; Gross, Benedict; Kisin, Mark
Published: 2014
Language: eng
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.
Notes: Keywords: Number Theory.

Thesis Ph.D. Harvard University 2014