- B.S., Rice University; M.S., Ph.D., Brown University
- Algebraic topology
- Calculus of functors
- Operads and cooperads
- Calculus and Multivariate Calculus
- Linear Algebra
- Differential Equations
- Real Analysis, I
- Abstract Algebra, I
- Lie algebra configuration pairing. (2010)
- The configuration basis of a Lie algebra and its dual. (2010)
- (w/ D. Sinha) Lie coalgebras and rational homotopy theory II: Hopf invariants. Trans. Amer. Math. Soc., Vol. 365 No. 2 (Feb. 2013), pp.861-883.
- (w/ D. Sinha) Lie coalgebras and rational homotopy theory I: Graph coalgebras. Homology, Homotopy and Applications, Vol. 13 (2011), No. 2, pp.263-292.
- Review of Differential Equations Review sheet for differential equations class (A4 version).