Wednesday, April 16, 2025. Mathematics Colloquium.Tristan Phillips, Dartmouth CollegeAverage analytic ranks of elliptic curves over number fieldsHill Auditorium, Barrows (ESRB)Refreshments at 3pm, talk 3:15 – 4:15pm Abstract: Let E be an elliptic curve over a number field K. The Mordell-Weil Theorem states that the set of rational points E(K) of E forms a finitely generated abelian group. In particular, we may