Writings:

The cobordism hypothesis. Joint with David Ayala. Preprint, 2017.

Fibrations of ∞-categories. Joint with David Ayala. Preprint, 2017.

Factorization homology I: higher categories. Joint with David Ayala and Nick Rozenblyum. Preprint, last revised Feb 2017.

A stratified homotopy hypothesis. Joint with David Ayala and Nick Rozenblyum. To appear, Journal of the European Mathematical Society.

Poincaré/Koszul duality. Joint with David Ayala. Preprint, last revised Nov 2015.

Zero-pointed manifolds. Joint with David Ayala. Preprint, last revised July 2017.

Factorization homology of stratified spaces. Joint with David Ayala and Hiro Lee Tanaka. Selecta Math. (N.S.) 23 (2017), no. 1, 293-362.

Local structures on stratified spaces. Joint with David Ayala and Hiro Lee Tanaka. Adv. Math. 307 (2017), 903-1028.

Factorization homology of topological manifolds. Joint with David Ayala. J. Topol. 8 (2015), no. 4, 1045-1084.

Topological modular forms. Jointly edited with Chris Douglas, Andre Henriques, and Mike Hill. Mathematical Surveys and Monographs, 201. American Mathematical Society, Providence, RI, 2014.

The tangent complex and Hochschild cohomology of E_n-rings. Compositio Mathematica 149 (2013), no. 3, 430-480. ArXiv abstract.

Chiral Koszul duality. Joint with Dennis Gaitsgory. Selecta Math. (N.S.) 18 (2012), no. 1, 27-87. ArXiv abstract.

Morita equivalence for convolution categories: Appendix to arXiv:0805.0157. Joint with David Ben-Zvi and David Nadler. Preprint, 2012.

Integral transforms and Drinfeld centers in derived algebraic geometry. Joint with David Ben-Zvi and David Nadler. J. Amer. Math. Soc. 23 (2010), 909-966. ArXiv abstract.

Derived algebraic geometry over E_n-rings. MIT PhD thesis, 2008. Slightly revised.

Integrals on spin manifolds and the K-theory of K(Z, 4). Resurrected preprint, circa 2005.

On the connective real K-theory of K(Z, 4): an application of stable homotopy to integrals on spin manifolds. Harvard undergraduate thesis, 2004.


A video of a lecture on Poincaré/Koszul duality at MSRI. A video of a lecture at the Newton Institute.
jnkf

stat tracker for tumblr