Past Events

In this talk, I will describe three projects designed to support students’ development as mathematical thinkers, with a focus on their engagement with mathematics. First, I will discuss the co-creation of ‘Student Perspective’ course materials for...

In this talk, we present two algorithms associated with Tucker tensor format. The first is to obtain the Tucker tensor based on a new cross approximation we developed, called Cross^2-DEIM. This method samples a few fibers (proportionate to the multi...

Let A ∈ M_n be nonnegative, irreducible and E_ii = e_ie_i^T, where e_i is the ith standard basis vector. For a fixed t_0 > 0, an index p ∈ [n] := {1, 2, \ldots, n} is called a winner for the value t_0 if the spectral radius satisfies \rho( A + t_0 E...

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...