Yu-Wei Fan

Department of Mathematics
Harvard University
One Oxford Street, Cambridge, MA 02138

Email:
Office: Science Center 425c

I am a fifth year graduate student at Harvard, working with Shing-Tung Yau.

I have pretty broad interests in algebraic geometry, symplectic geometry, dynamical systems and mathematical physics. These days I am working on projects surrounding mirror symmetry, which is a duality between algebraic geometry and symplectic geometry. More specifically, I am thinking about its interplays with Bridgeland stability conditions, wall-crossings, autoequivalences and Teichmüller theory.

My Curriculum Vitae.

Papers

My papers are all available on the arXiv.
2018 - Mirror of Atiyah flop in symplectic geometry and stability conditions (with H. Hong, S.-C. Lau and S.-T. Yau). To appear in Advances in Theoretical and Mathematical Physics, 22 (2018), no. 5. [ Abstract, PDF ]
2018 - Entropy of an autoequivalence on Calabi-Yau manifolds. Mathematical Research Letters, 25 (2018), no. 2, 509-519. [ Abstract, PDF, Journal, Notes, Slides ]
2018 - Systoles, Special Lagrangians, and Bridgeland stability conditions. Submitted. [ Abstract, PDF, Notes ]
2018 - On entropy of P-twists. Submitted. [ Abstract, PDF ]
2017 - Weil-Petersson geometry on the space of Bridgeland stability conditions (with A. Kanazawa and S.-T. Yau). Submitted. [ Abstract, PDF, Notes ]

Teaching

Organized seminars