Chinese characters: 李纯毅
I am a Royal Society University Research Fellow and Associate Professor at the Mathematics Institute(WMI), University of Warwick.
I was a Postdoctoral Research Fellow (Aug 2014 - July 2017) at the University of Edinburgh. I received my Ph.D. (Apr 2014) from University of Illinois at Urbana-Champaign and my BA (July 2009) from Peking University, Beijing, China.
My Ph.D. advisor is Tom Nevins. My Postdoctoral mentor is Arend Bayer. My undergraduate mentor is LIU zhangju. My CV.
I am interested in Algebraic Geometry.
Deformations of the Hilbert scheme of points on a del Pezzo surface, (C. Li). Mosc. Math. J. 17 (2017), no. 2, 291-321.
The MMP for deformations of Hilbert schemes of points on the projective plane, (X. Zhao and C. Li). Algebraic Geometry 5 (3) (2018), 328-358.
The space of stability conditions on the projective plane, (C. Li). Selecta Mathematica, 23(2017), 2927-2945.
Stability conditions on Fano threefolds of Picard number one, (C. Li). J. Eur. Math. Soc. 21 (2019), 709-726.
Birational models of moduli spaces of coherent sheaves on the projective plane, (X. Zhao and C. Li). Geometry & Topology 23 (2019), 347–426.
Brill-Noether theory for curves on generic abelian surfaces, (A. Bayer;and C. Li). Pure and Applied Mathematics Quarterly (Special Issue in Honor of Yuri Manin), 13 (1). pp. 49-76.
Smoothness and Poisson structures of Bridgeland moduli spaces on Poisson surfaces, (X. Zhao and C. Li). Math. Z. (2018), Volume 291,Issue 1-2, 437–447.
Higher rank Clifford indices of curves on a K3 surface, (S. Feyzbakhsh and C. Li). Submitted, 25 pages.
Twisted cubics on cubic fourfolds and stability conditions, (C. Li, L. Pertusi and X. Zhao). Submitted, 26 pages.
On stability conditions for the quintic threefold, (C. Li). Inventiones Math. 218 (2019), 301-340.
A refined Derived Torelli Theorem for Enriques surfaces, (C. Li, H. Nuer, P. Stellari and X. Zhao). Mathematische Annalen (2021), volume 379, 1475–1505.
Contractibility of space of stability conditions on the projective plane via global dimension function, (Y. Fan, C. Li, W. Liu and Y. Qiu).
Applications of stability conditions in complex algebraic geometry, (C. Li) a short survey article to the Proceeding of 8th ICCM.
Stronger Bogomolov-Gieseker inequality for Fano varieties of Picard number one, (C. Li). In preparation.
Quintic elliptic on cubic fourfolds, O'Grady 10, and Lagrangian fibrations, (C. Li, L. Pertusi and X. Zhao).
Stability manifolds of varieties with finite Albanese morphisms, (L. Fu, C. Li and X. Zhao).
A Refined Derived Torelli Theorem for Enriques surfaces, II: the non-generic case, (C. Li, P. Stellari and X. Zhao).
Stronger Bogomolov-Gieseker type inequality and stability conditions, at Bonn Nov 2018.
I was a Leverhulme Early Career Fellow (Sep 2017 - Aug 2020) at Warwick.
I was supported by ERC starting grant no. 337039 “WallXBirGeom” (mentor: Arend Bayer) at Edinburgh.
Email: C.Li.25 at warwick dot ac dot uk