Upcoming Events
Abstract: A Besicovitch set is a compact subset of R^n that contains a unit line segment pointing in every direction. The Kakeya set conjecture asserts that every Besicovitch set in R^n has Minkowski and Hausdorff dimension n. I will discuss some recent progress on this conjecture, leading to…
We study the renormalization group method and its applications in probability theory.
A refinement of the tropical limit (Section 2.5.8–9 of [IMS09])
We study the renormalization group method and its applications in probability theory.
For an elliptic curve E defined over Q, the Mordell-Weil group E(Q) is a finitely generated abelian group. We prove that there are infinitely many elliptic curves E over Q for which E(Q) has rank 2. Our elliptic curves will be given by explicit models and their ranks will be found using a 2-…