Apart from mathematics I enjoy traveling, movies, and can often be heard whistling for many hours of the day. I am also a competitive Scrabble and bridge player and I have theater curtains! (No really, click herefor pictures from 2005-2006!)

Research

In Summer 2005 I participated in the Notre Dame REU. Working with Prof. Misha Gekhtman, my partner Brad Froehle and I studied the topic of Totally Positive Matrices. Our paper, "On generators of bounded ratios of totally positive matrices" will appear in Lin. Alg. & Appl. Preprint

In Summer 2006 I was at the Claremont Colleges REU where I worked under the supervision of Prof. Jim Hoste (Pitzer College) with Jay Daigle (Pomona College) and Wenjing Zheng (U. California Berkeley) on the subject of Lissajous knots. We were able to find bounds for the number of knot types of Lissajous knots of certain frequencies. For an expository look at our research, the following links are for the poster we presented at the Joint Math Meetings in Janurary 2007, and the presentation we gave at the Claremont Colleges in August. This is really cool stuff! Poster - "Sampling of Lissajous and Fourier Knots"; our poster from the Joint Math Meetings 2007. Presentation - A beamer presentation given July 28, 2006 at the Claremont Colleges Notre Dame Talk - A shorter presentation given September 30, at Notre Dame Preprint (to appear in J. Experimental Math)

In the Summer of 2007 I worked at the Williams College REU under the guidance of Prof. Susan Loepp. Our group studied completions of excellent unique factorization domains. Our paper can be found below as can a pdf for a short presentation we gave on this research and a poster too. Preprint Presentation Poster An Excellent Poem: I wrote a short poem about the methods we used in our proofs for constructing these excellent rings. It's mathematically accurate and meant to be humorous, but I'm not sure if the humor extends much past those in our group... Enjoy! Poem

Expository Papers