范祐维 - 清华大学 - 丘成桐数学科学中心

个人简介

2021 - Assistant Professor at Tsinghua University 2019 - 2021 Morrey Visiting Assistant Professor at UC Berkeley 2014 - 2019 PhD at Harvard University TEACHING Fall 2023 (at Tsinghua): Ordinary Differential Equations Spring 2023 (at Tsinghua): Mathematics from Examples (content) Fall 2022 (at Tsinghua): Geometry and Symmetry (content) Spring 2022 (at Tsinghua): Categories and Dynamical Systems Fall 2021 (at UC Berkeley): Honors Linear Algebra and Differential Equations Spring 2021 (at UC Berkeley): Introduction to Analysis and Introduction to Complex Analysis Fall 2020 (at UC Berkeley): Honors Linear Algebra and Differential Equations Spring 2020 (at UC Berkeley): Introduction to Analysis Fall 2019 (at UC Berkeley): Honors Linear Algebra and Differential Equations and Introduction to Analysis Spring 2019 (at Harvard): Theoretical Multivariable Calculus and Real Analysis (CA) Fall 2018 (at Harvard): Symplectic Manifolds and Lagrangian Submanifolds (CA) Fall 2017 (at Harvard): Multivariable Calculus Fall 2016 (at Harvard): Multivariable Calculus (Coach)

研究领域

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

近期论文

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Fourier-Mukai numbers of K3 categories of very general special cubic fourfolds Preprint, with K.-W. Lai. Shifting numbers of abelian varieties via bounded t-structures Submitted. Nielsen realization problem for derived automorphisms of generic K3 surfaces Submitted, with K.-W. Lai. Surfaces, braids, Stokes matrices, and points on spheres Submitted, with J. P. Whang. New rational cubic fourfolds arising from Cremona transformations Algebr. Geom., with K.-W. Lai. Asymptotic shifting numbers in triangulated categories Adv. Math., with S. Filip. Contractibility of space of stability conditions on the projective plane via global dimension function Math. Res. Lett., with C. Li, W. Liu, and Y. Qiu. Counting special Lagrangian classes and semistable Mukai vectors for K3 surfaces Geom. Dedicata, with J. S. Athreya and H. Lee. Attractor mechanisms of moduli spaces of Calabi-Yau 3-folds J. Geom. Phys., with A. Kanazawa. Systolic inequalities for K3 surfaces via stability conditions Math. Z. On pseudo-Anosov autoequivalences Adv. Math., with S. Filip, F. Haiden, L. Katzarkov, and Y. Liu. Categorical polynomial entropy Adv. Math., with L. Fu and G. Ouchi. Weil-Petersson geometry on the space of Bridgeland stability conditions Comm. Anal. Geom., with A. Kanazawa and S.-T. Yau. Mirror of Atiyah flop in symplectic geometry and stability conditions Adv. Theor. Math. Phys., with H. Hong, S.-C. Lau, and S.-T. Yau. Entropy of an autoequivalence on Calabi-Yau manifolds Math. Res. Lett. On entropy of P-twists 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).