Past Events

We explain some of the recent results in concerning PDEs describing fluid flows, as well as some of the difficulties. Model equations will also be discussed.

For many modern scientific and machine learning applications, it is often desired to use statistical learning methods that are scalable, highly predictive, highly interpretable, and robust. However, generally speaking, current methods do not...

Mathematics pervades all the sciences, but it also lies at the heart of a number of fields in the humanities. Two such important subjects which go back to ancient times are linguistics and music. In fact, many of the modern mathematical tools used in...

A video of this event is available on mathtube.org. We initiate the study of optimal transportation of exact differential k–forms and introduce various distances as minimal actions. Our study involves dual maximization problems with constraints on...

A basic result from complex function theory states that the logarithmic residue (i.e., the contour integral of the logarithmic derivative) of a scalar analytic function can only vanish when the function has no zeros inside the contour. Question: does...

A video of this event is available on mathtube.org. The connection between textiles and mathematics is intimate but not often explored, possibly because textiles and fiber arts have traditionally been the domain of women while mathematics was viewed...

The global study of the space of solutions of the Einstein constraint equations goes back to work of Jerry Marsden and co-workers in the early 1970s. Since that time the subject has evolved in interesting ways. First it has been possible to localize...

Very little is known about the distribution of primitive roots of a prime p. Grosswald conjectured that the least primitive root of a prime p is less than the square root of p, minus 2, for all p greater than 409. While this is certainly true for all...

Given an elliptic curve E over a number field K. The Frobenius field attached to E at a prime p is the splitting field of the characteristic polynomial of the Frobenius endomorphism acting on the ell-adic Tate module of E (ell a prime different from...

We will discuss recent progress towards the twin prime conjecture as well as highlight some recent joint work with Akshaa Vatwani the connects the parity problem with the twin prime conjecture. The talk will be accessible to a wide audience.