Previous Conferences & Workshops

Over 15 years ago, di Francesco and Itzykson gave an estimate on the growth (as the degree increases) of the number of plane rational curves passing through the appropriate number of points. This provides an example of an upper bound on (primary)...

By a celebrated theorem of Hurwitz, a curve X/C of genus g>1 has at most 84(g-1) points. Curves that attain or come close to this bound, such as the modular curves X(N) , often have a rich structure with diverse connections to and near number theory...