Past Events

We continue last week’s talk by introducing two more combinatorial structures: simplicial and cubical complexes, which we’ll introduce and present some examples and constructions that arise from them. These complexes let us construct a family of...

In his 2005 PhD thesis on tropical linear spaces, Speyer conjectured an upper bound on the number of interior faces in a matroid base polytope subdivision of a hypersimplex. This conjecture can be reduced to determining the sign of the Euler...

In this talk, we will: 1. Introduce the most basic concepts in quantum computing. 2. Briefly highlight examples of quantum algorithms where the skills of a numerical analyst can be of use. 3. Describe one type of quantum computing hardware (a...

Defined as the difference between its two largest eigenvalues, the spectral gap of a graph plays an important role on our understanding of its connectivity as observed by Godsil and Royle (2001). Since computing the largest eigenvalue of a graph is...

We affirmatively resolve the energy image density conjecture of Bouleau and Hirsch (1986). This conjecture generalizes a foundational result in Malliavin calculus: the non-degeneracy of the Malliavin matrix of a random variable implies absolute...

We use a U-Net to make baseline power forecasts and train a diffusion model on its residuals to capture uncertainty. The diffusion samples naturally show low ensemble spread during stable atmospheric conditions and much wider spread when the...

Epithelial tissues that line many of the body organs are often formed by a layer of living cells surrounded by the non-living basement membrane (BM). During development and in normal physiology, the organs and their lining epithelial tissues are...

Event Agenda Wednesday, November 5th, 2025 09:25 – 09:30 Opening Remarks 09:30 – 10:30  Title TBA Benjamin Jourdain, CERMICS, École Nationale des Ponts et Chaussées 10:30 – 11:00 Coffee Break 11:00 – 11:35  Title TBA Yao Xie, Georgia Institute of...

In this talk, I shall present a unifying approach to study the replica-symmetric regime of general dilute spin glasses. In particular, we identify two regimes - high temperature and subcritical dilution - where we observe a large class of popular...

Powers of Vandermonde determinants serve as model wave functions for the fractional quantum Hall effect. In this talk I will explain how one can realize the coefficients in the monomial basis as expectation values of operator products and how this...