Quadratic twists of elliptic curves: 2-Selmer ranks
- chair: Jamie Weigandt
- times: Fridays 11-12
- Reading list:
- MR1292115 (95h:11064) Heath-Brown, D. R. The size of Selmer groups for the congruent number problem. II. With an appendix by P. Monsky. Invent. Math. 118 (1994), no. 2, 331–370.
- MR2464773 (2010d:11059) Swinnerton-Dyer, Peter. The effect of twisting on the 2-Selmer group. Math. Proc. Cambridge Philos. Soc. 145 (2008), no. 3, 513–526.
Kane, Daniel. On the Ranks of the 2-Selmer Groups of Twists of a Given Elliptic Curve. Preprint. http://arxiv.org/pdf/1009.1365v1
PDFs of these papers have been placed in my public directory at MSRI, which can be accessed by typing cd ~weigandt/Public at a terminal prompt.