Video Lectures

Expander graphs are among the most useful objects in computer science and mathematics. They have found applications in numerous areas of both. I will review their definition, and explain some of the many applications. Time permitting, I will also...

I will discuss insights from analytic and numerical models of galactic chemical evolution and observations of Milky Way elemental abundances from the SDSS APOGEE survey. Under generic model assumptions, abundances and abundance ratios approach an...

Abstract: I will demonstrate that holographic error correcting codes naturally give rise to conditional expectations acting on the local operator algebras in the boundary theory. I will use this to give simple derivations of some previously known...

This talk will discuss a new algebraic structure called triangulated persistence category (TPC). It combines the triangulated category structure with the persistence module structure. This algebraic structure can be used to associate a metric...