I will talk about families of plane curves, and more generally
projective hypersurfaces, of given degree having one isolated
singularity of prescribed analytic type. We will see an example of
such family and discuss its geometry.
A rigid matrix is a matrix that cannot be represented as the sum
of a low rank matrix and a sparse matrix. Constructing explicit
rigid matrices (for certain parameters of rank and sparsity) is a
long standing open problem with applications to...
I will review the definition and the interest in the statistical
mechanical model called "Coulomb Gas". Past results and possible
new ones will be briefly discussed.
I will give an overview on the recent developments on the
Beurling-Selberg problem of majorization by entire functions of
exponential type, in joint works with J.D. Vaaler (Texas) and F.
Littmann (North Dakota State). These provide new
applications...
A contact structure is a geometric structure on a 3-manifold (in
general, on a 2n+1 manifold) which arises naturally when studying
symplectic 4-manifolds. In this talk, I'll describe an important
correspondence between contact structures and open...
Abstract: The first zeros Riemann Zeta function occur at
approximately 1/2 +- 14.13i. In 1999 Steven D. Miller showed that
among all L-functions of a certain type, the Riemann Zeta function
has the largest such gap around zero. I'll discuss how to...
