Past Events

A vanishing sum of roots of unity (VSRU) is a finite list $z_1,\ldots,z_K$ of $N$-th complex roots of unity whose sum is zero. While there are many simple examples—including the famous "beautiful equation" of Euler, $e^{i \pi} + 1 = 0$—such sums...

Abstract: Functional data such as time series and images are ubiquitous in applications and are equipped with natural concatenation operations. For machine learning applications, it is often helpful to build structured representations of such data...

There is a striking and useful analogy between equivariant homotopy theory and functor calculus. In the equivariant setting, Greenlees conjectured that the category of rational G-spectra has an algebraic model - meaning it is equivalent to the...

Consider a random uniform sample of size $n$ over a bounded region $A$ in $R^d$, $d \geq 2$, having a smooth boundary. The coverage threshold $T_n$ is the smallest $r$ such that the union $Z$ of Euclidean balls of radius $r$ centred on the sample...

Spatial Pattern Formation and the Evolution of Cooperative Behaviour

Spatial Pattern Formation and the Evolution of Cooperative Behaviour

You will hear from our speakers about jobs in different academic institutions and in industry, developing an outstanding CV, giving a winning job talk, writing effective application materials, and other tips to help you get ahead. We have assembled a...

In 1974, Briançon and Skoda answered a question of Mather, showing that for $I=(f_1,\dots,f_n)$ an ideal of the coordinate ring at a smooth point on a complex algebraic variety, there is a containment $\overline{I^{n+k-1}}\subseteq I^k$ for all $k...

The question of whether one graph can be embedded in another is a fundamental problem in graph theory. In 2020, Joos and Kim introduced a generalization of the basic graph embedding problem to graph collections. Let $G=\{G_1,\ldots,G_m\}$ be a...

We survey some new and old, positive and negative results on a priori estimate, regularity, rigidity, and constant rank results for special Lagrangian and quadratic Hessian equations. These equations originate in calibrated, convex, conformal, and...