Past Events

In this talk we introduce an unusual eigenvalue problem that arises in fluid-structure interaction problems: the Jones eigenmode problem, described first by D.S. Jones in the eighties.The Jones eigenvalue problem was stated in the context of fluid...

Please bring your favourite (math) problems. Anyone with a problem to share will be given about 5 minutes to present it. We will also choose most of the speakers for the rest of the semester.

Inverse problems (the problem of inferring an unknown parameter from indirect and noisy measurements) are ubiquitous in science and engineering. The Bayesian approach to inverse problems provides a probabilistic framework in which prior knowledge...

Given a principally polarized abelian variety $A$ over a number field (or a function field), one can naturally extract two real numbers that capture the ``complexity'' of $A$: one is the Faltings height and the other is the N\'eron-Tate height (of a...

Graphical semi-supervised learning is the problem of labelling the verticess of a graph given the labels of a a few vertices along with geometric information about the graph. Such problems have attracted a lot of attention in machine learning for...

Microbial communities routinely have several alternative stable states observed for the same environmental parameters. A possibility of sudden and irreversible transitions between these states (regime shifts) complicates external manipulation of...

It is an open problem whether there exists an exotic smooth structure on S^1 × S^3. Motivated by this problem, Akbulut asked if there is a simply connected homology cobordism from a homology sphere with non-trivial Rochlin invariant to itself. The...

Walks in the plane taking unit-length steps north and east from $(0,0)$ to $(n,n)$ never dropping below $x=y$, and parking cars subject to preferences, are two intriguing ingredients in a formula conjectured in 2005, now famously known as the shuffle...

Dynamical sampling is a new area in sampling theory that deals with processing a time series of evolving signals {A^nx, n=0,1,2,...} and aims at recovering the signal x from its coarsely sampled evolving states. In the talk, I will present why and...

Error correcting codes protect information by encoding it into a larger system with some redundancy, allowing the original logical information to be recovered even if part of the encoded system becomes lost or corrupted. In this talk I will introduce...