Past Events

I will discuss some recent joint work with Lu Wang in which we prove that a shrinking gradient Ricci soliton which agrees to infinite order at spatial infinity with a generalized cylinder along some end must be isometric to the cylinder on that end...

The process of optimally fitting a differential-equation model to data is usually approached in an iterative manner by solving the equations numerically with some choice of parameters and using some algorithm (e.g. gradient descent) to improve the...

In classical ramification theory, we consider extensions of complete discrete valuation rings with perfect residue fields. We would like to study arbitrary valuation rings with possibly imperfect residue fields and possibly non-discrete valuations of...

For any finite group G, a natural question to ask is the order of the smallest possible automorphism group for a Cayley graph on G. A particular Cayley graph whose automorphism group has this order is referred to as an MRR (Most Rigid Representation)...

The idea of this event is to offer graduate students in Statistics and Actuarial Science with an opportunity to attend a seminar with accessible talks providing them an introduction to active areas of research in the field. For two students from each...

Clustering appears in many guises, playing important roles in diverse areas of cell biology. One such guise is the spatial clustering of proteins on the membrane of a cell. The ability of cell membrane proteins to cluster in response to stimuli is...

Computations in RO(G)-graded Bredon cohomology can be challenging and are not well understood, even for G=C_2, the cyclic group of order two. In this talk I will present a structure theorem for RO(C_2)-graded cohomology with constant Z/2 coefficients...

How Xenopus brain neurons can improve or shift their encoding in response to experience? The present work is in collaboration with the Haas lab, which recent innovations in two-photon calcium imaging allows the simultaneous sampling of all visual...

Zarankiewicz’s problem asks for the largest possible number of edges in a graph with $n$ vertices that does not contain K_{s,t} for some fixed integers $s, t$. Recently, Fox, Pach, Sheffer, Sulk and Zahl considered this problem for semi-algebraic...

Kitaev’s quantum double models provide a rich class of examples of two-dimensional lattice models with topological order in the ground states and a spectrum described by anyonic elementary excitations. The infinite volume ground states of the abelian...