Research

Algebraic string topology from the neighborhood at infinity, with M. Rivera and Z. Wang, in preparation.

Smooth Calabi-Yau structures and the noncommutative Legendre transform, with M. Kontsevich and Y. Vlassopoulos. arXiv:2301.01567

Pre-CY algebras and topological quantum field theories, with M. Kontsevich and Y. Vlassopoulos. arXiv:2112.14667

Relative stability conditions on Fukaya categories of surfaces. Mathematische Zeitschrift 301.3 (2022): 3019-3070, also available at arXiv:1811.10592

Calabi-Yau structures on topological Fukaya categories, with V. Shende. arXiv:1605.02721

Introduction to differential graded categories, chapter in Superschool on Derived Categories and D-branes (Springer Proceedings in Mathematics & Statistics)

Developments in the mathematics of the A-model: constructing Calabi-Yau structures and stability conditions on target categories, PhD dissertation at the UC Berkeley Physics Department, available at eScholarship.