Background

• Ph.D., Mathematics, Brown University, 2005

• B.S. Mathematics and Statistics, Rice University, 1998
• A brief (out of date) CV

Research

• My main research interests are: Goodwillie's homotopy calculus of functors, Weiss' orthogonal calculus of functors, homotopy theory (stable and unstable), and rational homotopy theory.
• I am also interested in operads (and cooperads) -- particularly their modules and algebras and the model category theories associated to these -- as well as orthogonal and symmetric spectra, operads of such, and algebras over operads of such -- all particularly in applications to homotopy calculus of functors.

Teaching

• Fall 2008.
  • Math 301: An Introduction to Proof Through Real Analysis
• Spring 2008.
  • Math 265: Linear Algebra
  • Math 453: Elements of Algebra, I

Papers (and Works in Progress)

• "Rational Homotopy Calculus of Functors"
  [Ph.D. Dissertation under Tom Goodwillie, Brown University]
• (w/ D. Sinha) "Lie Coalgebras and Rational Homotopy Theory I"

Random Other Notes

• A Short Note on Negative Numbers. A humorous essay written for MA 453: Elements of Algebra.
• Computing a path DGA. An example of using coliealgebras to compute the DGA model for a path-space, given the DGA model for a space.
• "(Homotopy) Calculus of Functors: An Allegorical Introduction" (to be added?)
  [This is based on the lecture notes of a talk which I have now given multiple times in different places. I have bold plans to expand it to notes for a mini-course.]

Algebraic Topology Stuff

• Don Davis' List of Upcoming Algebraic Topology Conferences
• British Topology List of Upcoming Conferences
• York University Topology Atlas list of conferences
• Allen Hatcher's Algebraic Topology Book
• Peter May's Algebraic Topology Book

Misc Links

• Mathematics Genealogy.
• Mathematical Quotations.
• Mary Ann's homepage
• the frog and baby sister
• There's something seriously wrong with this.