Past Events

ABSTRACT: Iwasawa theory traditionally explores how arithmetic objects (like ideal class groups and Selmer groups) grow in infinite towers of number fields. Historically, this research has focused on the p-primary parts of these objects within...

Students of grades 5 to 7 are invited to challenge and develop their thinking and creativity skills at the Math Circle Workshops. This is an enrichment program for students organized by the faculty members of the Department of Mathematics at the...

Abstract: It's well-known that any holomorphic subvariety is area-minimizing in its homology class. In this talk we consider the converse question, and we show that any entire area-minimizing 2-surface $M^2 \subset R^n$ of density two at infinity...

Abstract: Nosema ceranae is microsporidian fungal parasite, originally of Apis ceranae, the Eastern Honeybee, that meanwhile jumped host and can also be found in Apis mellifera, the Western Honeybee. It is the causative agent of Nosemosis, a...

Abstract: We begin with the statement of the Hodge conjecture. Next, we give a precise definition of an arithmetic conjecture. In complex algebraic geometry, either a conjecture arises from analysis, or is arithmetical. Recent work of Voisin shows...

We prove matching upper and lower bounds on the space complexity of simulating a large shared register using smaller shared registers. We focus on the case where both the simulated and base registers are single-writer, which means they can be...

Abstract: The cotangent cohomology modules $T_S^i$ for a commutative algebra $S$ over a field $k$ provide important homological and deformation-theoretic information about $S$, but are often challenging to describe explicitly. In this talk, I will...