Yu-Wei Fan

2021 -            Assistant Professor at Tsinghua University
2019 - 2021   Morrey Visiting Assistant Professor at UC Berkeley
2014 - 2019   PhD at Harvard University

CV (last updated: April 2024)

Email: ywfan@mail.tsinghua.edu.cn
Office: 双清综合楼A座, C646

Current Teaching (Fall 2024): Topics in Derived Categories

Research

My research interest lies broadly in algebraic geometry, dynamical systems, symplectic geometry, and mathematical physics. I am particularly interested in studying Calabi-Yau manifolds, stability conditions, automorphisms, and categorical dynamics.

  1. Nielsen realization problem for derived automorphisms of generic K3 surfaces
    Submitted, with K.-W. Lai.
  2. Stokes matrices and exceptional isomorphisms
    Math. Ann., accepted, with J. P. Whang.
  3. Fourier-Mukai numbers of K3 categories of very general special cubic fourfolds
    Israel J. Math., accepted, with K.-W. Lai.
  4. Shifting numbers of abelian varieties via bounded t-structures
    manuscripta math., accepted.
  5. Asymptotic shifting numbers in triangulated categories
    Adv. Math. (2023), with S. Filip.
  6. New rational cubic fourfolds arising from Cremona transformations
    Algebr. Geom. (2023), with K.-W. Lai.
  7. Contractibility of space of stability conditions on the projective plane via global dimension function
    Math. Res. Lett. (2023), with C. Li, W. Liu, and Y. Qiu.
  8. Counting special Lagrangian classes and semistable Mukai vectors for K3 surfaces
    Geom. Dedicata (2023), with J. S. Athreya and H. Lee.
  9. Attractor mechanisms of moduli spaces of Calabi-Yau 3-folds
    J. Geom. Phys. (2023), with A. Kanazawa.
  10. Systolic inequalities for K3 surfaces via stability conditions
    Math. Z. (2022).
  11. On pseudo-Anosov autoequivalences
    Adv. Math. (2021), with S. Filip, F. Haiden, L. Katzarkov, and Y. Liu.
  12. Categorical polynomial entropy
    Adv. Math. (2021), with L. Fu and G. Ouchi.
  13. Weil-Petersson geometry on the space of Bridgeland stability conditions
    Comm. Anal. Geom. (2021), with A. Kanazawa and S.-T. Yau.
  14. Mirror of Atiyah flop in symplectic geometry and stability conditions
    Adv. Theor. Math. Phys. (2018), with H. Hong, S.-C. Lau, and S.-T. Yau.
  15. Entropy of an autoequivalence on Calabi-Yau manifolds
    Math. Res. Lett. (2018).
  16. On entropy of P-twists
    Preprint.
  17. An invitation to categorical dynamical systems
    Proceedings of the 2021 Ergodic Theory and Dynamical Systems Workshop.
  18. Stokes matrices, character varieties, and braids
    Proceedings of the 2020 ICCM Annual Meeting.
  19. Mirror Symmetry, Autoequivalences, and Bridgeland Stability Conditions
    Ph.D. thesis, Harvard University (2019).

Graduate advising

I am currently accepting PhD students. If you are interested in working with me as your PhD advisor, please read my advising philosophy (mostly taken directly from Dan Halpern-Leistner), which sets mutual expectations.

Teaching

At Tsinghua University:

At UC Berkeley:

At Harvard University:

Miscellaneous