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Viral infections are social processes. Viral replication requires shared gene products that can be used by multiple viral genomes within the same cell, and hence act as public goods. This gives rise to viral cheats, a type of molecular parasite...

Let X be an isotropic unimodal L\'{e}vy jump process on ℝ d . We develop probabilistic methods which in many cases allow us to determine whether X satisfies the elliptic Harnack inequality (EHI), by looking only at the jump kernel of X , and its...

Locally gentle algebras are a class of infinite-dimensional, non-connected algebras which have nice combinatorial interpretation in terms of quivers with relations. These relations ensure that each arrow is contained in a unique maximal path. In this...

Given a matching M of a hypercube, does there exist a Hamiltonian cycle that contains every edge of M? This problem was posed by Ruskey and Savage in 1993, and remains open. If M is a perfect matching a Hamiltonian cycle does exist, as shown by Fink...

Distances between the roots of a fixed polynomial appear organically in many places in number theory. For any $f(x) \in \mathbb{Z}[x]$, let $\operatorname{sep}(f)$ denote the minimum distance between distinct roots of $f(x)$. Mahler initiated the...

The van Eeden seminar is a yearly event in which graduate students vote for their favorite statisticians. The winner is contacted by the organizing committee and invited to give a talk in the department’s seminar. The speaker spends one or two days...

In an electric grid, 'phase imbalance' refers to the unequal distribution of electrical loads across the three phases of the grid. This imbalance can lead to inefficiencies, increased power losses, and equipment damage. A helpful analogy is a three...

Sharon and Joerg are members of the Boeing Applied Mathematics organization. They partner with business units to develop applied math solutions and tools that help Boeing reduce costs, improve products and operations. In this presentation, Sharon and...

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