Pure Math colloquium
Jacob Tsimmerman, University of Toronto
“Bounding Torsion in Geometric Families of Abelian Varieties”
A celebrated theorem of Mazur asserts that the order of the torsion part of the Mordell-Weil group of an elliptic curve over Q is absolutely bounded; it is conjectured that the same is true for abelian varieties over number fields, though very little progress