Bourke, James (2023) History of the Birch and Swinnerton-Dyer Conjecture. Masters thesis, National University of Ireland Maynooth.

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Abstract

In this thesis, an account of the Birch and Swinnerton-Dyer conjecture and some of its history are presented. A framework on the theory of elliptic curves is developed from the ground up. Then, several advanced definitions and results from algebraic geometry are given. This includes an accessible chapter about the Tate-Shafarevich group. These results will help illuminate some of the reasoning behind Birch and Swinnerton-Dyer’s work. Finally, a thorough, up to date report on the progress of the conjecture is included.

Item Type:	Thesis (Masters)
Keywords:	History; Birch; Swinnerton-Dyer Conjecture;
Academic Unit:	Faculty of Science and Engineering > Mathematics and Statistics
Item ID:	18138
Depositing User:	IR eTheses
Date Deposited:	13 Feb 2024 15:20
URI:
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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