Past Events

I will begin with some memories of how Jerry Marsden was as an advisor. In addition to the clarity and creativity of his mathematical thought, what has remained in my memory are his generosity with ideas, kindness as a human being, and his hands-on...

The field of algebraic topology has exposed deep connections between topology and algebra. One example of such a connection comes from algebraic K-theory. Algebraic K-theory is an invariant of rings, defined using tools from topology, that has...

In recent years, machine learning procedures have attracted much attention in National Statistical Offices (e.g., Statistics Canada). In particular, random forests are currently being scrutinized as an alternative to traditional imputation procedures...

An Azumaya algebra is something that is "locally" isomorphic to a matrix algebra. By varying the sense of "locally", we arrive at different incarnations of the concept. The motivating example is that of central simple algebras over a field. In this...

Full waveform inversion (FWI) is a novel seismic wave equation-based data-driven approach characterized by exploiting full waveform information from all types of seismic data. It can image the subsurface with high resolution, up to half the...

What does a random permutation group look like? This talk will start with a brief survey of how we might go about counting subgroups of the symmetric group Sn, and talk about what is known about “most” subgroups. To tackle the general problem, it...

Functional data analysis (FDA) is a growing statistical field for analyzing curves, images, or any multidimensional functions, in which each random function is treated as a sample element. Functional data is found commonly in many applications such...

While Einstein's theory of gravity is formulated in a smooth setting, the celebrated singularity theorems of Hawking and Penrose describe many physical situations in which this smoothness must eventually breakdown. In positive-definite signature...

Martingales are perhaps best known as a gambling strategy of repeatedly doubling the stakes of a bet, in the hope that eventually a single win will cover previous losses and return a profit. In physics, though little known, martingales are also...

We prove the agent’s choice will be a locally Lipschitz function of their type in the subclass of principal-agent problems considered by Figalli, Kim, and McCann (2011). Our approach is based on the construction of a suitable comparison potential...