Research My research focuses on the birational geometry of moduli spaces. In particular, I have produced several rational maps from Mg,1 to other spaces that have interesting geometric consequences.
For pictures from my Math Circle presentation, go here. For the handout from my Math Circle presentation, go here. For videos of my Math Circle presentation, go here: Part 1, Part 2.
For pictures from the Austin Math Adventure, go here. For solutions to the Austin Math Adventure games, go here. Canada/USA Mathcamp I served as a mentor for this summer program, designed to teach mathematics to highly accelerated high school students, during the summer of 2007.
Select Notes These are expository notes on some of the classes I've taught and talks I've given. Some Brief Facts About Me I am originally from Bedford, NH, a small town just outside of Manchester. While there, I attended Derryfield School. I then went to Williams College, where I majored in math and philosophy, and wrote an honors thesis under the supervision of Susan Loepp. I am currently a graduate student in mathematics at the University of Texas at Austin, where I study algebraic geometry under the direction of Sean Keel.
Pictures To view my recent submissions to the semi-annual "dorkiest picture ever" contest, click here.