Publications

Picard--Lefschetz monodromy of products

Journal of Pure and Applied Algebra, Volume 212, Issue 10, October 2008, Pages 2314-2319.

In this paper I prove a Thom--Sebastiani type result. You may recall that Thom--Sebastiani presented a formula for the Picard--Lefschetz of f+g, where f and g are polynomials in separate sets of variables. The result in my paper could be thought of as an analog for the case of fg. Thom--Sebastiani's original result assumed that the singularities of f and g were isolated. In this new paper we assume f and g homogeneous. I discuss work toward the weighted homogeneous case in my thesis .

Seminars at UK

Introduction to the Milnor fibration Tuesday Jan 29^nd 2008

We define weighted homogeneous polynomials, and discuss weighted projective varieties. We will then study the polynomial maps these polynomials define. We will see that these maps define fiber bundles if we ignore where the polynomial is zero. This discussion will allow us to define Picard--Lefschetz monodromy.