Number Theory Seminar: Karl Rubin

  • Date: 11/10/2011
  • Time: 15:00
Karl Rubin (University of California - Irvine)

University of British Columbia


Abstract: I will discuss some recent results (joint with Zev
Klagsbrun and Barry Mazur) on the distribution of 2-Selmer ranks in
families of quadratic twists of elliptic curves over arbitrary number
fields. We study the density of twists with a given 2-Selmer rank, and
obtain some surprising results on the fraction of twists with 2-Selmer
rank of given parity. Since the 2-Selmer rank is an upper bound for the
Mordell-Weil rank, this work has consequences for Mordell-Weil ranks in
families of quadratic twists.


3:00-4:00pm in WMAX 216

Other Information: 

For more information please visit UBC Mathematics Department