Past Events

I will be presenting a frame approach for computing solutions of differential equations inspired by recent progress in frame theory and sparse spectral methods. The primary case study for our method will be a very general family of equations...

A colorful diagrammatic language for the 2-category of categories has been exposited in a recent monograph by Dan Marsden and Ralf Hinze. In this tutorial, we will demonstrate how to use the language, and we will emphasize its benefits for the study...

The Direct Summand Theorem states that if $R$ is a commutative Noetherian ring, then any finite extension $R\to S$ splits as a map of $R$-modules. This suggests the notion of a splinter as a class of singularities, where we say a scheme $X$ is a...

In this talk, we will discuss an estimate for a discrete mean value of the Riemann zeta function and its derivatives multiplied by Dirichlet polynomials. Assuming the Riemann Hypothesis, we obtain a lower bound for the 2kth moment of all the...

In Graph Theory, the well-known problems of packing and independence are generalized by broadcast packing and broadcast independence. As an analogy, placing cell towers (of various powers) in a network so that the signals do not interfere is a...

Moshe’s Insanity is a fascinating puzzle based on the game Instant Insanity. It was created for the ACM ICPC competition in 1994. The premise of the puzzle is relatively straightforward: you are given eight cubes, and your task is to arrange these...

For each $p\in(1,\infty)$, a p-energy form $(\mathcal{E}_p,\mathcal{F}_p)$, a natural $L^p$-analog of the standard Dirichlet form for $p=2$, was constructed on the (two-dimensional standard) Sierpinski gasket $K$ by Herman--Peirone--Strichartz...

The class number one problem is one of the central subjects in algebraic number theory that turns back to the time of Gauss. This problem has led to the classical embedding problem which asks whether or not any number field K can be embedded in a...

A classic theorem of Quillen established an equivalence of homotopy theory between (certain) DG Lie algebras and DG coalgebras. Both are models for (simply-connected) rational homotopy theory. A generalization of Quillen's result by Hinich provided a...

Biodiversity loss worldwide coincides with an increase in epidemics. This loss of species and reassembly of species communities is thought to be connected to disease transmission via two, opposing, theories: (1) the dilution effect predicts that high...