Alex Takeda

Hi there! I am a postdoc doing research in the areas of string topology, noncommutative geometry and symplectic topology. I also like thinking about TQFTs, categorical invariants in mirror symmetry, Bridgeland stability conditions, the geometry of holomorphic differentials and Toeplitz quantization.

I previously held a postdoc position at IHES, working under the supervision of M. Kontsevich, and got my PhD in Physics from UC Berkeley in 2019, supervised by M. Aganagic and V. Shende.

• 2023-current: Postdoc in mathematics at Uppsala University
• 2020-2023: Postdoc in mathematics at IHES
• 2013-2019: PhD in Physics at UC Berkeley, under the supervision of Mina Aganagic (Physics) and Vivek Shende (Mathematics)

Algebraic string topology from the neighborhood at infinity, with M. Rivera and Z. Wang, arXiv:2308.09684

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.

Here are some slides from talks I have given in the past about my research.