Yu-Wei Fan / 范祐維

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

Email:
Office: Science Center 425c

I am a fourth (becoming fifth) year graduate student at Harvard, working with Shing-Tung Yau. We have a student seminar in which we talk about lots of different topics.

I have pretty broad interests in algebraic geometry, symplectic geometry, dynamics and mathematical physics. These days I am working on projects surrounding mirror symmetry, which is a conjectural 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.

Curriculum Vitae

Papers

My papers are all available on the arXiv.
- Systoles, Special Lagrangians, and Bridgeland stability conditions. [ Abstract, PDF, Notes ]
2018 - On entropy of P-twists. [ Abstract, PDF ]
- Weil-Petersson geometry on the space of Bridgeland stability conditions (with A. Kanazawa and S.-T. Yau). [ Abstract, PDF, Notes ]
- Mirror of Atiyah flop in symplectic geometry and stability conditions (with H. Hong, S.-C. Lau and S.-T. Yau). [ Abstract, PDF ]
2017 - Entropy of an autoequivalence on Calabi-Yau manifolds. To appear in Mathematical Research Letters. [ Abstract, PDF, Notes, Slides ]