CRM-ISM-AMQ 2023 Prize awarded to Ashay Burungale, Francesc Castella, Christopher Skinner and Ye Tian
The 2023 CRM-ISM-AMQ Prize is awarded to Ashay Burungale (UT Austin), Francesc Castella (UCSB), Christopher Skinner (Princeton) and Ye Tian (University of Chinese Academy of Sciences) for their article “p∞-Selmer groups and rational points on CM elliptic curve”, published in the special issue of Annales Mathématiques du Québec in honour of Bernadette Perrin-Riou.
In recent years, an important breakthrough in the study of the Birch and Swinnerton-Dyer conjecture is the so-called p-converse theorem pioneered by Chris Skinner. The BSD conjecture predicts that the algebraic and analytic ranks of an elliptic curve are equal. The p-converse theorem states that if the algebraic rank given by the Selmer group of an elliptic curve is 1, then the analytic rank is 1, which proves the BSD conjecture for a large family of elliptic curves. The article studies a new method that generalizes previous results to a number of new settings. It is also the building block of further generalizations to totally real fields announced by the authors. This article can be an important steppingstone for many further results in the study of the BSD conjecture.
Read the press release.
For more information about this prize.
Collaboration Agreement between FIM (Institute for Mathematical Research) and CRM
This agreement, made between CRM, located in Montréal, Canada, and FIM, located in Zurich, [...]
Two CRM members receive Frontiers of Science Award 2024
Eyal Goren obtained his PhD from the Hebrew University of Jerusalem in January 1997, [...]
Franco Saliola (UQAM) has been appointed Scientific Deputy Director
The CRM welcomes Franco Saliola to its team as Scientific Deputy Director from July [...]