University of Washington

Next year brings the 100th anniversary of Watson's classic paper "The diffraction of electric waves by the earth" and I would like to use this as a welcome excuse to review various results about scattering by spherical obstacles. Is the sphere...

I will begin with the familiar Farey sequences: the subdivisions of the real line obtained by recursively taking the mediant (a+c)/(b+d) of fractions a/b and c/d. I will take this starting point as an excuse for an ecclectic tour which may include...

A conjecture of Read predicts that the coefficients of the chromatic polynomial of a graph form a log-concave sequence for any graph. A related conjecture of Welsh predicts that the number of linearly independent subsets of varying sizes form a log...

I will present three new results: (i) the Cramer transform of the uniform measure on a convex body is a universal self-concordant barrier; (ii) projected gradient descent with Gaussian noise allows to sample from a log-concave measure in polynomial...

We will begin by giving an elementary introduction to the GL(2,R) action on the Hodge bundle (sometimes called Teichmuller dynamics), after which we will give a survey of some of new developments in this field. This will include restrictions on the...

The Eulerian polynomials, which were introduced by Euler over 200 years ago, are pervasive throughout discrete mathematics and arise in a variety of surprising ways. Over the years generalizations and q-analogs possessing fundamental properties of...

The 57th Cascade Topology Seminar will take place at Seattle University. The titles and abstracts for this event are: Ryan Derby-Talbot: Computing Heegaard genus is NP-Hard One of the most basic measures of the complexity of a 3-manifold is its...