Hiro Lee Tanaka

Office 341
Harvard University Math Department
1 Oxford Street
Cambridge, MA 02138
hirolee*at*math.harvard.edu

About Me

I'm currently a Benjamin Peirce Fellow and NSF Postdoctoral Fellow at Harvard. I received my Ph.D. in 2013 from Northwestern University, where my advisor was Kevin Costello. You may have also seen me in Bonn in summer of 2015, or around the Bay Area in spring of 2014, when I was an MSRI Postdoctoral Fellow.

My research is in algebraic topology with an emphasis on mathematical physics.

Statement of commitment to equity in mathematics

I support policies and activities meant to dissect and disarm mechanisms that lead to inequities in mathematical fields. To this end, I also support: conducting research into the sometimes subtle, sometimes not-so-subtle, ways in which various groups come to be underrepresented in mathematical fields; listening to needs of various communities and responding effectively to those needs; reflecting on personal actions and reactions; and enacting practices of equity in my day-to-day praxis.

Papers

For more details, please see my research page.
  1. Odd sphere bundles, symplectic manifolds, and their intersection theory, with Li-Sheng Tseng. Submitted. arXiv:1702.03423
  2. The Fukaya category pairs with Lagrangian cobordisms exactly. Submitted. arXiv:1609.08400
  3. The Fukaya category pairs with Lagrangian cobordisms. Submitted. arXiv:1607.04976
  4. Functors (between oo-categories) that aren't strictly unital. To appear, Journal of Homotopy and Related Structures. arXiv:1606.05669
  5. Bridgeland stability, 2-Segal spaces, and the Ran space of the line. In Proceedings of the Conference on Manifolds, K-Theory and Related Topics, Contemporary Mathematics (2017), 209--235.
  6. Factorization homology of stratified spaces, with David Ayala and John Francis. Selecta Math. (N.S.) 23 (2017), no. 1, 293--362. arXiv:1409.0848
  7. Local structures on stratified spaces, with David Ayala and John Francis. Adv. Math. 307 (2017), 903--1028. arxiv 1409.0501
  8. Factorization homology in 3-dimensional topology, with Nikita Markarian. In Mathematical Aspects of Quantum Field Theories, Springer 2015, pp. 222-231.
  9. In simply-connected cotangent bundles, exact Lagrangian cobordisms are h-cobordisms. Submitted. arXiv:1404.6273.
  10. A stable infinity-category of Lagrangian cobordisms, with David Nadler. Submitted. arXiv:1109.4835.

Other interests