Welcome to my research page where you will find a brief introduction to my research interests. Primarily I study computational geometry, however I can sometimes be convinced to work on other things, such as parallel and scientific computing or education. A list of my publications, presentations, and collaborators can be found on my cv page. Feel free to contact me if you have any questions would like to strike up a conversation. My contact information can be found on my contact page.

Pick your poison! For me it is Algorithms, specifically ones of the Geometric kind. Currently, I am investigating low degree predicates, numerical instabilities of geometric algorithms, and generalizations of Voronoi diagrams. When I need a break from that, I tinker around with polyhedra unfoldings; flattening ducks, bunnies and boxes.

Projects:

Reduced-precision Voronoi diagrams

Parallel geometric algorithms

Regluing of vertex unfoldings

My interest in the numerical aspects of computational geometry is driven by the application of geometric algorithms to physical simulations. Since a few of my collaborators are physicists and mathematicians I sometimes work on geometric projects that fall into scientific and parallel computing.

Projects:

Parallel geometric algorithms

Stochastic materials

Monte Carlo algorithm for solving the neutron transport equation

One of the fundamental issues anyone must consider is, "How can I convey what I am doing to someone else?" Whether the field is arts, math or business, the ability to effectively convey information is always important. While in high school I taught drums to younger students. I found this enjoyable, but conveying my knowledge to students was not an easy task. I try to continue this interest by looking at ways to educate, specifically in music and computational mathematics.

Projects:

earTrane'

TutorUI

Exploring Computational Mathematics: Unfolding Polyhedra