Past Events

Classical Iwasawa theory studies the variation of arithmetic invariants, such as ideal class groups, along infinite towers of number field extensions. Over the years, these ideas have been extended to a wide range of arithmetic objects, including...

The inverse eigenvalue problem has played a central role in spectral graph theory in the last decade. In this talk, I shall be interested in a particular parameter, namely the minimum number of distinct eigenvalues of a graph G, i.e., in the minimum...

I will give a (necessarily woefully incomplete) introduction to the measure classification paradigm in homogenous dynamics, and discuss one source of invariant measures and application of this paradigm: the Quantum Unique Ergodicity problem.

We consider isogenies on Jacobians J of genus 3 curves with a kernel that is a maximal isotropic subgroup of the 2-torsion J[2] and confront a phenomenon that is new in genus 3: for genus 1 and 2 the codomain is generally again a Jacobian of a curve...

Let $T$ be a tree in which no vertex has degree $2$. A Halin graph is a planar graph obtained by connecting all leaves of $T$ into a cycle in their planar order. The idea of universal originates from a question of John W. Moon (1965). Consider all...

Immune cells perform exquisite feats of collective organization, assembling into tissues that can shapeshift to meet functional demands. Dispersed, gas-like immune cells surveil tissues for threats; liquid-like germinal centers enable the rapid...

This is the second of two talks in Algebraic K-theory. I aim to extend the previously discussed 9-term exact sequence into a long exact sequence by defining the higher K-groups via homotopy theory. I will talk about the construction of the...

I will review how the comparison of Gaussian processes leads to results in convex geometry, and how extremal problems in convex geometry can be translated into a Gaussian framework. I will conclude by presenting new comparison inequalities for...

The energy image density property arises in two seemingly distinct lines of research. It first appeared in Malliavin’s proof of Hörmander’s hypoellipticity theorem and has since played a central role in the study of regularity properties of...

In this talk, I will talk about use of automata theory in answering problems in number theory. In 1844, Catalan conjectured that the set consisting of natural numbers of the form $2^n+1$, $n \ge 0$ and the set consisting of powers of $3$ has finite...