The Birch and Swinnerton-Dyer Conjecture: A brief survey

Ashay A. Burungale, Christopher Skinner, Ye Tian

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Scopus citations


The celebrated Birch and Swinnerton-Dyer (BSD) conjecture connects the structure of the rational points on an elliptic curve defined over the rationals to the analytic properties of its associated Hasse–Weil L-function. In this paper we recall the BSD conjecture (and its various parts) and survey some of the known results towards it, especially recent work.

Original languageEnglish (US)
Title of host publicationNine Mathematical Challenges - An Elucidation
EditorsA. Kechris, N. Makarov, D. Ramakrishnan, X. Zhu
PublisherAmerican Mathematical Society
Number of pages19
ISBN (Print)9781470454906
StatePublished - 2021
EventLinde Hall Inaugural Math Symposium, 2019 - Pasadena, United States
Duration: Feb 22 2019Feb 24 2019

Publication series

NameProceedings of Symposia in Pure Mathematics
ISSN (Print)0082-0717
ISSN (Electronic)2324-707X


ConferenceLinde Hall Inaugural Math Symposium, 2019
Country/TerritoryUnited States

All Science Journal Classification (ASJC) codes

  • General Mathematics


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