Past Events

Regarding his 1920 paper proving recurrence of random walks in Z^2, Polya wrote that his motivation was to determine whether 2 independent random walks in Z^2 meet infinitely often. Of course, in this case, the problem reduces to the recurrence of a...

I will describe a new operad (the "splicing operad") that acts on a fairly broad class of embedding spaces. Previously I constructed an action of the operad of little (j+1)-cubes on the space of framed long embeddings of R^j in R^n. This operad...

I will explain recent joint work with Xiaoyi Zhang on threshold solutions to critical nonlinear Schrodinger equations. These results are analogues of Liouville-type theorems in the dispersive setting. I will cover mainly the mass-critical case. Time...

In recent work, Haglund, Mason, van Willigenburg, and this author introduced a family of quasisymmetric functions which we call quasisymmetric Schur (QS) functions. These naturally refine the (symmetric) Schur functions and form a Z-basis of QSym...

This talk outlines multiscale problems which combine techniques of model reduction and filtering. Multiple time scales occur in models throughout the sciences and engineering, where the rates of change of different variables differ by orders of...

Creative writing about the content of mathematics and science is rare, and creative writing about the activity of mathematics and scientific creation is even rarer. This book arose from a unique and remarkable endeavor with practitioners who engage...

We introduce a 2x2 nonlinear nonlocal system. On the one hand, it models possible blow-up mechanism in the 3D Euler equations; On the other hand, it can be seen as a further step in the recent progress in understanding the role of nonlocal operators...

Among the open problems for SLE suggested by Oded Schramm in his 2006 ICM talk is that of obtaining \reasonable estimates for the speed of convergence of the discrete processes which are known to converge to SLE." In this talk we derive a rate for...

Two topics will covered in this talk. The first part concerns the dynamics of coupled excitable FitzHugh-Nagumo elements in the presence of noise, which is used to model the frequency variations in beating cardiac cultures. As the coupling strength...