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Professor of Mathematics · University of Warwick
Royal Society University Research Fellow
My research is in algebraic geometry, with a focus on Bridgeland stability conditions, derived categories, and moduli spaces. I use categorical and stability-theoretic methods to study projective varieties, birational geometry, and hyper-Kähler geometry.
Warwick profile · C.Li.25@warwick.ac.uk
Research
Research
Stability conditions — existence, structure, and topology.
Derived categories — Kuznetsov components and derived Torelli problems.
Moduli and birational geometry — stable objects, wall-crossing, and hyper-Kähler spaces.
Positivity in algebraic geometry — Brill–Noether theory, positivity, and syzygies.
Recent work
Recent work
Syzygies of Polarized Abelian Surfaces: A Reider-Type Criterion (2026), with Lei Song and Xiao Wang.
Stability conditions and moduli spaces on projective families (2026), with Zhiyu Liu, Ziqi Liu, Emanuele Macrì, Alexander Perry, Paolo Stellari, and Xiaolei Zhao.
A Remark on Stability Conditions on Smooth Projective Varieties (2026).
Stability conditions on products of curves and Hilbert schemes of surfaces (in press), with Emanuele Macrì, Alexander Perry, Paolo Stellari, and Xiaolei Zhao.
A Real Reduction of the Manifold of Bridgeland Stability Conditions (2025).
Higher-dimensional moduli spaces on Kuznetsov components of Fano threefolds (J. Reine Angew. Math., 2026), with Yinbang Lin, Laura Pertusi, and Xiaolei Zhao.
Use the Publications page in the navigation for the complete bibliography.
About
About
I am Professor of Mathematics at the University of Warwick and a Royal Society University Research Fellow. Before joining Warwick, I was a Postdoctoral Research Fellow at the University of Edinburgh from 2014 to 2017, under the supervision of Arend Bayer.
I received my PhD from the University of Illinois Urbana–Champaign in 2014 under the supervision of Tom Nevins, and my BA from Peking University in 2009, under the suipervision of LIU Zhangju. I held a Leverhulme Early Career Fellowship at Warwick from 2017 to 2020.
Contact
Contact
Mathematics Institute, Zeeman Building
University of Warwick
Coventry CV4 7AL, United Kingdom
Office B1.32
C.Li.25@warwick.ac.uk
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