Past Events

A gene family is a set of genes, present in the genomes of several genomes, possibly in multiple occurrences in some genomes, that all originates from a single ancestral gene. A gene tree is a binary tree that describes evolutionary relationships...

In the context of optimal control, the Hamilton-Jacobi Partial Differential Equation (HJ PDE) is a continuous analogue to the discrete Bellman dynamic-programming equation. Both of these equations satisfy a causal property: the solution value at a...

I will discuss recent results concerning the regularity of the extremal solution associated with fourth order nonlinear eigenvalue problems on general domains. We show that the extremal solution is bounded under various assumptions on the...

Turbulence and other complex flows are often characterized by their transport and mixing properties. Turbulence can greatly enhance molecular viscosity for the transport of momentum, and molecular diffusion coefficients for the transport of heat...

Simple random walk is well understood. However, if we condition a random walk not to intersect itself, so that it is a self-avoiding walk, then it is much more difficult to analyze and many of the important mathematical problems remain unsolved. This...

In 2009, Büyükboduk published a result in Crelle which expressed the order of the $\chi$-part of the class-group of a number field ($\chi$ a $p$-adic character of a Galois group) in terms of $L$-functions and regulators. The proof used Kolyvagin...

Coisotropic submanifolds of symplectic manifolds are canonically foliated. Their deformation is described by an L-infinity algebra with a known geometric description. I will describe some calculations with the obstruction theory of this L-infinity...

(0,1)-matrices are, in particular, nonnegative matrices, and so the Perron-Frobenius theory of nonnegative matrices applies to them. Thus they have a nonnegative eigenvalue that is at least as large as the magnitude of all other eigenvalues...

Demonstrations of fun methods to teach math and computer science concepts to students, teachers and parents through games and art. Registration is open to the public; however, interested parties (other than parents/students/teachers) should contact...

I will talk about work with Dan Isaksen on the motivic homotopy groups of spheres, focusing on the story of the Hopf maps. In classical algebraic topology the Hopf maps generate a very small and easily computed subring of the stable homotopy ring...