Yu-Wei Fan

BIO

Yu-Wei Fan joined SIMIS and Fudan University as an Associate Professor in September 2025. His main research interests include Calabi-Yau manifolds, derived categories and their autoequivalences, Bridgeland stability conditions, and mirror symmetry. More information can be found at: https://ywfan-math.github.io/.

Education Experience

• 2014.9 – 2019.5, Harvard University, Mathematics, PhD

Work Experience

• 2021.12 – 2025.8, Tsinghua University, Assistant Professor
• 2019.8 – 2021.11, University of California, Berkeley, Morrey Visiting Assistant Professor

Honors and Awards

• ICCM Medal of Mathematics, Silver Medal, 2022
• ICCM Best Thesis Award, Gold Medal, 2022

Publications

• A space of stability conditions that is not a length space. Submitted.
• On entropy of P-twists. Submitted.
• Nielsen realization problem for derived automorphisms of generic K3 surfaces (with K.-W. Lai). Submitted.
• Fourier-Mukai numbers of K3 categories of very general special cubic fourfolds (with K.-W. Lai). Israel J. Math. (2025).
• Stokes matrices and exceptional isomorphisms (with J. P. Whang). Math. Ann. (2024).
• Shifting numbers of abelian varieties via bounded t-structures. manuscripta math. (2024).
• Asymptotic shifting numbers in triangulated categories (with S. Filip). Adv. Math. (2023).
• New rational cubic fourfolds arising from Cremona transformations (with K.-W. Lai). Algebr. Geom. (2023).
• Contractibility of space of stability conditions on the projective plane via global dimension function (with C. Li, W. Liu, Y. Qiu). Math. Res. Lett. (2023).
• Counting special Lagrangian classes and semistable Mukai vectors for K3 surfaces (with J. S. Athreya, H. Lee). Geom. Dedicata (2023).
• Attractor mechanisms of moduli spaces of Calabi-Yau 3-folds (with A. Kanazawa). J. Geom. Phys. (2023).
• Systolic inequalities for K3 surfaces via stability conditions. Math. Z. (2022).
• On pseudo-Anosov autoequivalences (with S. Filip, F. Haiden, L. Katzarkov, Y. Liu). Adv. Math. (2021).
• Categorical polynomial entropy (with L. Fu, G. Ouchi). Adv. Math. (2021).
• Weil-Petersson geometry on the space of Bridgeland stability conditions (with A. Kanazawa, S.-T. Yau). Comm. Anal. Geom. (2021).
• Mirror of Atiyah flop in symplectic geometry and stability conditions (with H. Hong, S.-C. Lau, S.-T. Yau). Adv. Theor. Math. Phys. (2018).
• Entropy of an autoequivalence on Calabi-Yau manifolds. Math. Res. Lett. (2018).
• An invitation to categorical dynamical systems. Proceedings of the 2021 Ergodic Theory and Dynamical Systems Workshop.
• Stokes matrices, character varieties, and braids. Proceedings of the 2020 ICCM Annual Meeting.