Polynomials defining distinguished varieties

Polynomials defining distinguished varieties.  (submitted for publication)

Abstract: Using a sums of squares formula for two variable
polynomials with no zeros on the bidisk, we are able to give a new
proof of a representation formula for distinguished varieties.  For
distinguished varieties with no singularities on the two-torus, we
are able to provide extra details about the representation formula
and use this to prove a bounded extension theorem.

Bernstein-Szegő measures on the two dimensional torus

The paper “Bernstein-Szegő measures on the two dimensional torus” was recently accepted to Indiana Univ. Math. J. Here is a link to a preprint:

Bernstein-Szegő measures on the two dimensional torus

Function theory on the Neil parabola

The paper “Function theory on the Neil parabola” has appeared in print. Here is a link to the project euclid page for it:

Function theory on the Neil parabola

A Schwarz lemma on the polydisk

My paper “A Schwarz lemma on the polydisk” has “officially” appeared on the Proceedings of the AMS website.

A Schwarz lemma on the polydisk