Past Events

In this talk, we consider the well-posedness, ill-posedness and the regularity of stationary solutions to the hydrodynamic model of semiconductors represented by Euler-Poisson equations with sonic boundary, and make a classification on these...

A spectral method for the solution of integral and differential equations is generally understood to be an expansion of the solution in a Fourier series. Chebyshev polynomials are often the preferred basis set for many problems. In kinetic theory...

Transformation Optics (aka transformation media) offers an unprecedented method of manipulating a variety of waves through architecting the propagation medium. The necessary condition for a wave to be controllable by this method is that its governing...

I will discuss finite group actions on integral or rational homology 3-spheres. The main examples for this talk are the Brieskorn integral homology 3-spheres M(p,q,r) arising from isolated singularities, which bound smooth 4-manifolds with definite...

Penalized regression methods permit data analysts to fit models with more adjustable parameters than data points by imposing strong prior assumptions on the relationships between variables. As a result classical tools of uncertainty assessment no...

L^p inequalities for certain Littlewood-Paley functionals arising from Lévy processes will be discussed. These are motivated by applications to the L^p boundedness of Fourier multiples which give L^p regularity of solutions to some non-local...

We will discuss about the regularity of the Gauss curvature flow: the optimal C^{1,\frac{1}{n-1}} regularity of degenerate solutions with flat sides and the interior C^{\infty} regularity of strictly convex solutions.

In this talk, we examine two methods for frequency extrapolation. Frequency extrapolation is the problem of utilizing data processing techniques to obtain the entire spectrum of an objective signal while only a middle band is sampled. This problem is...

An "elliptic sequence" is a solution over an arbitrary integral domain of the recursion W(m+n) W(m-n) = W(m+1) W(m-1) W(n)^2 - W(n+1) W(n-1) W(m)^2, where m and n are integers. The theory of integral elliptic sequences was developed by Morgan Ward in...