Yu-Wei Fan
Department of Mathematics
Harvard University
One Oxford Street, Cambridge, MA 02138
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
- Fall 2018: Course Assistant,
Symplectic Manifolds and Lagrangian Submanifolds, Harvard University.
- Summer 2018: Instructor,
Introduction to Bridgeland stability conditions, Tsinghua University, Beijing.
- Summer 2018: Coach,
Yau Tsinghua Junior Math Talent Program, Tsinghua University, Beijing.
- Fall 2017: Instructor,
Multivariable Calculus, Harvard University.
- Fall 2016: Coach,
Multivariable Calculus, Harvard University.
Organized seminars
- 2016-2017: Yau's student seminar, Harvard University.
- 2015-2016: Trivial Notions Seminar,
Harvard University (co-organizer).