Research area
Elliptic curves and the BSD conjecture
A central thread is the Birch and Swinnerton-Dyer conjecture: developing algorithms, producing evidence, and studying visibility phenomena that connect analytic and algebraic invariants.
Selected writing
Books and papers
01The Birch and Swinnerton-Dyer Conjecture, a Computational ApproachBook draft02Databases of elliptic curves ordered by heightPaper03Verification of BSD for specific elliptic curvesPaper04Visibility of Shafarevich-Tate groups of abelian varietiesPaper05A database of elliptic curves - first reportPaper