On the Unicity of the Homotopy Theory of Higher Categories, Joint with Clark Barwick. Journal of the AMS, 34 (2021), no. 4, 1011-1058.
Singular cohomology from supersymmetric field theories, joint with Nathaniel Stapleton. Advances in Mathematics, 390 (2021), Paper No. 107944.
Dualizable tensor categories, joint with Christopher Douglas and Noah Snyder. Memoirs of the AMS, 268 (2020), no. 1308.
The balanced tensor product of module categories, joint with Christopher Douglas and Noah Snyder. Kyoto Journal of Mathematics, Vol 59, Number 1 (2019), 167-179
Tori Detect Invertibility of Topological Field Theories, Geometry & Topology 22 (2018) 2713-2756.
Dualizability in Low-Dimensional Higher Category Theory, Topology and Field Theories, Contemp. Math. , vol. 613, Amer. Math. Soc., Providence, RI, 2014. arXiv:1308.3574
Central extensions of smooth 2–groups and a finite-dimensional string 2–group, Geometry & Topology 15 (2011) 609–676.
Examples of Cayley 4-Manifolds, Joint with Weiqing Gu. Houston Journal of Mathematics 30 (2004), no. 1, 55–87.
Semisimple Field Theories Detect Stable Diffeomorphism, joint with David Reutter. arXiv:2206.10031
Invertible Topological Field Theories. arXiv:1712.08029
Modular categories as representations of the 3-dimensional bordism 2- category, joint with Bruce Bartlett, Christopher Douglas, and Jamie Vicary.
Extended 3-dimensional bordism as the theory of modular objects, joint with Bruce Bartlett, Christopher Douglas, and Jamie Vicary.
Higher Categories via higher A-infinity Operads, joint with Nate Bottman an dViktoriya Ozornova.
The Relative Tangle Hypothesis
A finite presentation of the oriented 3-dimensional bordism bicategory, joint with Bruce Bartlett, Christopher Douglas, and Jamie Vicary.
Dualizable tensor categories II: Homotopy SO(3)-actions, joint with C. Douglas and N. Snyder.
Twisted cohomology via twisted field theories, joint with Stephan Stolz and Peter Teichner.
On Waldhausen’s Splitting of A-theory.
Coherence for symmetric monoidal bicategories
Extensions of symmetric monoidal bicategories, joint with Bruce Bartlett, Christopher Douglas, and Jamie Vicary.