Yu-Wei Fan / 范祐維 / 范祐维

---

2025 -            Associate Professor at SIMIS and Fudan University (joint appointment)
2021 - 2025   Assistant Professor at Tsinghua University
2019 - 2021   Morrey Visiting Assistant Professor at UC Berkeley
2014 - 2019   PhD at Harvard University

Email: yuweifanx@gmail.com

---

Research

My research interest lies broadly in algebraic geometry, dynamical systems, and symplectic geometry. I am particularly interested in studying Calabi-Yau manifolds/categories, mirror symmetry, stability conditions, and (derived) automorphisms.

• Categorical Dynamics of Abelian Varieties
  Preprint.
• Notes on the deformed Hermitian-Yang-Mills equations and the large scaling limits of stability conditions
  Preprint.
• Special Lagrangians and Bridgeland stable objects beyond geometric stability conditions: the product case
  Submitted.
• Mirror symmetry for lattice-polarized abelian surfaces
  Submitted, with K.-W. Lai.
• On entropy of P-twists
  Submitted.
• Nielsen realization problem for derived automorphisms of generic K3 surfaces
  Submitted, with K.-W. Lai.
• A space of stability conditions that is not a length space
  Sci. China Math. (2026).
• Fourier-Mukai numbers of K3 categories of very general special cubic fourfolds
  Israel J. Math. (2025), with K.-W. Lai.
• Stokes matrices and exceptional isomorphisms
  Math. Ann. (2024), with J. P. Whang.
• Shifting numbers of abelian varieties via bounded t-structures
  manuscripta math. (2024).
• Asymptotic shifting numbers in triangulated categories
  Adv. Math. (2023), with S. Filip.
• New rational cubic fourfolds arising from Cremona transformations
  Algebr. Geom. (2023), with K.-W. Lai.
• 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.
• Counting special Lagrangian classes and semistable Mukai vectors for K3 surfaces
  Geom. Dedicata (2023), with J. S. Athreya and H. Lee.
• Attractor mechanisms of moduli spaces of Calabi-Yau 3-folds
  J. Geom. Phys. (2023), with A. Kanazawa.
• Systolic inequalities for K3 surfaces via stability conditions
  Math. Z. (2022).
• On pseudo-Anosov autoequivalences
  Adv. Math. (2021), with S. Filip, F. Haiden, L. Katzarkov, and Y. Liu.
• Categorical polynomial entropy
  Adv. Math. (2021), with L. Fu and G. Ouchi.
• Weil-Petersson geometry on the space of Bridgeland stability conditions
  Comm. Anal. Geom. (2021), with A. Kanazawa and S.-T. Yau.
• 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.
• Entropy of an autoequivalence on Calabi-Yau manifolds
  Math. Res. Lett. (2018).

---

Teaching

at SIMIS and Fudan University

• Fall 2026: Algebraic Geometry and Coding Theory
• Spring 2026: Riemann Surfaces
• Fall 2025: Algebraic varieties and their derived categories

at Tsinghua University

• Spring 2025: Algebra 2
• Fall 2024: Topics in Derived Categories
• Spring 2024: Algebra 0
• Fall 2023: Ordinary Differential Equations
• Spring 2023: Mathematics from Examples
• Fall 2022: Geometry and Symmetry
• Spring 2022: Categories and Dynamical Systems

at University of California, Berkeley

• Fall 2021: Honors Linear Algebra and Differential Equations
• Spring 2021: Introduction to Analysis and Introduction to Complex Analysis
• Fall 2020: Honors Linear Algebra and Differential Equations
• Spring 2020: Introduction to Analysis
• Fall 2019: Honors Linear Algebra and Differential Equations and Introduction to Analysis

at Harvard University

• Spring 2019: Theoretical Multivariable Calculus and Real Analysis (Course assistant)
• Fall 2018: Symplectic Manifolds and Lagrangian Submanifolds (Course assistant)
• Fall 2017: Multivariable Calculus
• Fall 2016: Multivariable Calculus (Coach)

---

Miscellaneous

• Links

---