== Quadratic twists of elliptic curves: 2-Selmer ranks == * chair: Jamie Weigandt * times: Tuesdays 2-3 * 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. * The next meeting will be Tuesday, March 15 the time will be 2pm pending the availability of the Baker boardroom.