This page is likely to be quite out of date!

Research Interests
I was a student of Nitu Kitchloo, interested in the polymorphic blob that is algebraic topology (what's that?), more specifically homotopy theory. Lately I've been thinking about computing with the real Johnson-Wilson theories ER(n).

AWM Student Chapter
We recently founded a chapter of AWM at UCSD. Click here for the website.

Topology Qual Prep
In summer 2007, I was the instructor for the algebraic topology qualifying exam preparation course. Click here to read the syllabus. Problem Sets: 0 1 2 3 4 Practice Qual

Food for Thought Seminar
I co-founded and am co-organizing a new graduate seminar for the general graduate student population. For information about that, click here.

Formal Group Laws Seminar
Winter 2007's topology reading seminar was about formal group laws and their applications in topology. For the seminar website, go here.

Madsen-Weiss MCG Seminar
Spring 2006's topology reading seminar will look at the Madsen-Weiss proof of Mumford's conjecture about the cohomology of the stable mapping class group. For the seminar website, go here.

Expanding Your Horizons
In 2006 and 2007, I gave a knot theory workshop called "Knotty Mathematics" for 6th-10th grade girls as part of the EYH San Diego workshop to inspire girls to choose careers in science. The cheezy blurb about my workshop that appeared in the program guide can be found here. Slides from my talk can be found here. Handouts from the talk are here, here, and here. Last year the organizers gave me a certificate of appreciation.

Talbot: Automorphisms of Manifolds
I attended the Talbot workshop on automorphisms of manifolds at the end of February, 2006. This involved learning a lot of stuff to prepare.

Random Stuff
I typed up notes for Nitu Kitchloo's 2005 Geometry and Physics course. They remain in a not-quite-finished state with plenty of typos and questions to clarify, but if you wish to read them, go here.

I recently gave a very introductory talk to prospective graduate students about manifolds and the Poincaré conjecture, and I typed up some notes.

Education
UC San Diego. PhD student (2003-present)
UC San Diego. MS Mathematics (2004)
UC Santa Barbara. BS Mathematics, with distinction (2003)

Awards
UC Presidents Dissertation Year Fellowship (2007-08)
GAANN Fellowship (2003-04)
Raymond L. Wilder Award (2003)