Past Events

We introduce the notion of a spoke algebra, which encodes the data of a $C_p$-equivariant cohomology equipped with a coherent system of norms. This is a generalization of the notion of an ``$\mathbb{E}_{\sigma}$-algebra" for the group $C_2$ and the...

The conjugate gradient algorithm (CG) is a widely used iterative method for solving large symmetric positive definite linear systems Ax=b. Beginning in the 1980's (and, even earlier, in the thesis of Paige dating back to 1971), a great deal of...

Efficient and accurate simulation of electromagnetic responses of geologically-rich geophysical settings is crucial in a variety of scenarios, including mineral and petroleum exploration, water resource utilizations, and geothermal power extractions...

Calculus of variations and partial differential equations have been seeing great progress over the last decade, and some of the most important driving forces in these developments are optimal transport and free boundary theories. The recent Fields...

There are numerous genetic, molecular and physical factors that all need to be carefully orchestrated to create the face. When one or more of these processes goes awry during embryonic development, birth defects such as cleft lip result. In the past...

A Hadamard matrix H of order 4n2 is said to be skew-regular if it is of skew-type and the absolute values of the row sums are all 2n. It is conjectured that for each odd integer n there is a skew-regular matrix of order 4n2. A Hadamard matrix H of...

In both normal tissue and disease states, cells interact with one another, and other tissue components using cellular adhesion proteins. These interactions are fundamental in determining tissue fates, and the outcomes of normal development, and...

PhD defense practice talk. The Min protein system is critical for correct cell division, and is observed to produce a variety of interesting patterns, both in vitro and in vivo. I explore the behavior of a model of the min system far from the...

When two identical nonlinear oscillators are coupled through a 1-D bulk diffusion field, new patterns of synchronization occur that would be absent in the uncoupled system. Furthermore, if the two oscillators are quiescent, the effect of the coupling...

This is a joint work with G.Garkusha. In the talk I will discuss the construction of fibrant replacements for spectra consisting of Thom spaces (suspension spectra of varieties and algebraic cobordism MGL being the motivating examples) that uses the...