YuWei 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
 Thursdays 09:5012:15, at Teaching Building 6B312
 Potential topics (will be updated according to audience preferences)
 List of some potential topics for final presentations
Research
My research interest lies broadly in algebraic geometry, dynamical systems, symplectic geometry, and mathematical physics. I am particularly interested in studying CalabiYau manifolds, stability conditions, automorphisms, and categorical dynamics.

Nielsen realization problem for derived automorphisms of generic K3 surfaces
Submitted, with K.W. Lai. 
Stokes matrices and exceptional isomorphisms
Math. Ann., accepted, with J. P. Whang. 
FourierMukai numbers of K3 categories of very general special cubic fourfolds
Israel J. Math., accepted, with K.W. Lai. 
Shifting numbers of abelian varieties via bounded tstructures
manuscripta math., accepted. 
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 CalabiYau 3folds
J. Geom. Phys. (2023), with A. Kanazawa. 
Systolic inequalities for K3 surfaces via stability conditions
Math. Z. (2022). 
On pseudoAnosov 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. 
WeilPetersson 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 CalabiYau manifolds
Math. Res. Lett. (2018). 
On entropy of Ptwists
Preprint. 
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. 
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 HalpernLeistner), which sets mutual expectations.Teaching
At Tsinghua University:
 Fall 2024: Topics in Derived Categories
 Spring 2024: Algebra 0
 Fall 2023: Ordinary Differential Equations
 Spring 2023: Mathematics from Examples (Content and Overview)
 Fall 2022: Geometry and Symmetry (Content)
 Spring 2022: Categories and Dynamical Systems
At UC 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 (CA)
 Fall 2018: Symplectic Manifolds and Lagrangian Submanifolds (CA)
 Fall 2017: Multivariable Calculus
 Fall 2016: Multivariable Calculus (Coach)
Miscellaneous
 Geometry and Dynamics Seminar (ongoing)
 Fortnightly links of some new papers on the arXiv
 Advices for asking for a letter of recommendation (from Ravi Vakil)
 Yau student seminar archive