Yu-Wei Fan / 范祐維
Office: Science Center 425c
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.
PapersMy papers are all available on the arXiv.
|2018||-||Entropy of an autoequivalence on Calabi-Yau manifolds. Mathematical Research Letters, 25 (2018), no. 2, 509-519. [ Abstract, Journal, Notes, Slides ]|
|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||-||Systoles, Special Lagrangians, and Bridgeland stability conditions. [ Abstract, PDF, Notes ]|
|2018||-||On entropy of P-twists. [ Abstract, PDF ]|
|2017||-||Weil-Petersson geometry on the space of Bridgeland stability conditions (with A. Kanazawa and S.-T. Yau). [ Abstract, PDF, Notes ]|