Past Events

Efficient algorithms have recently been developed for calculating dealiased linear convolution sums without the expense of conventional zero-padding or phase-shift techniques. For one-dimensional in-place convolutions, the memory requirements are...

TBA

We analyze a coin-tossing model used to justify the sale of constant proportion debt obligations (CPDOs) and prove that it was impossible for CPDOs to achieve the Cash-In Event. In the best-case scenario in which the coin is two-headed, we show that...

The calculus of functors provides a framework for analyzing functors of spaces, and more generally, model categories, in terms of polynomial-like approximations to the functors. In this talk, I will give an introduction to the calculus of functors...

Tree polymers are simplifications of 1+1 dimensional lattice polymers made up of polygonal paths of a (nonrecombining) binary tree having random path probabilities. As in the case of lattice polymers, the path probabilities are (normalized) products...

Mathematical models of infectious disease dynamics have helped to advance our basic understanding of the epidemiology and pathogenesis of some diseases. Models have been used to predict the impact of prevention efforts or to assess host-pathogen...

We establish explicit criteria of solvability for the quasilinear Riccati type equation $-\Delta_p u =|\nabla u|^q + \omega$ in a bounded $\mathcal{C}^1$ domain $\Omega\subset\mathbb{R}^n$, $n\geq 2$. Here $\Delta_p$, $p>1$, is the $p$-Laplacian, $q$...

Continuum traffic theories whereby individual vehicles are collectively modeled have enjoyed a rich history since their popularization by M.J. Lighthill and G.B. Whitham. These models are able to elucidate the dynamics of ``phantom jams,'' transient...

Motivated by geometry, we consider a `less discrete' way of counting lattice points in polytopes, in which one assigns a certain `weight' to each lattice point. On the combinatorial side, this approach reveals some `hidden symmetry' which improves...

We will discuss our motivation for understanding what the analogue of DeRham cohomology should be for E_{\infty}-algebras in connection with algebraic K-theory and topological cyclic homology.