Research (Melanie Pivarski)

I am a Visiting Assistant Professor with the mathematics department at Texas A&M University. I study analysis and probability on metric measure spaces; I am particularly interested in how the geometry of a space affects analytic and probabilistic inequalities. My office is 641F in Blocker Hall.

Publications

Small time heat kernel behavior on Riemannian complexes with Laurent Saloff-Coste, New York Journal of Mathematics Volume 14 (2008) 459-494.
Heat kernels on Euclidean complexes Dissertation, Cornell University, Ithaca, NY, 2006.

Slides from talks

"Small Time Heat Kernel Behavior on Riemannian Complexes" (pdf version) given in the Math Physics and Harmonic Analysis seminar at Texas A&M on November 16, 2007.
"Heat Kernels on Euclidean Complexes" (pdf version) given in the Math Physics and Harmonic Analysis seminar at Texas A&M on September 15, 2006.

Research with Undergraduates (REU) and High School Students
I've had the opportunity to help undergraduates and high school students with their research projects.

Fractals, led by Robert Strichartz at Cornell University in 2001.
Euler's Formula, led by Juan Jorge Schaeffer at Pennsylvania Governor's School for the Sciences (PGSS) in 1999.

Research as an Undergraduate (REUs)
While I was an undergraduate, I participated in two REUs.

Polynomial Knots, led by Alan Durfee at Mount Holyoke College in 1998.
Koteljanski Matrices , led by Shaun Fallat at the College of William and Mary in 1997 .

Made September 30, 2008
by Melanie Pivarski
pivarski AT math DOT tamu DOT edu