I am a Leverhulme Early Career Fellow at the Mathematics Institute(WMI), University of Warwick. I was a Postdoctoral Research Fellow (until 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 CV. ## ResearchI 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). To appear in Journal of the European Mathematical Society, 18 pages.
- Birational models of moduli spaces of coherent sheaves on the projective plane, (X. Zhao and C. Li). To appear in Geometry and Topology, 78 pages.
- Brill-Noether theory for curves on generic abelian surfaces, (A. Bayer;and C. Li). Submitted, 22 pages.
- Smoothness and Poisson structures of Bridgeland moduli spaces on Poisson surfaces, (X. Zhao and C. Li). To appear in Math. Z., 13 pages.
- Higher rank Clifford indices of curves on a K3 surface, (S. Feyzbakhsh and C. Li). In preparation, 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). Submitted, 30 pages.
- Stronger Bogomolov-Gieseker inequality for Fano varieties of Picard number one, (C. Li). In preparation.
- The Sn-invariant exceptional collection on M0n, (C. Li). In preparation, 20 pages.
- Quintic elliptic curves on cubic fourfolds and O'Grady spaces [Title subject to change] (C. Li, L. Pertusi and X. Zhao). In preparation.
- Derived Torelli for Enriques Surfaces. [Group report joint with several people in the workshop at Toulouse]. In preparation.
Teaching
GrantI am a Leverhulme Early Career Fellow (Sep 2017 - Aug 2020) at Warwick. I was supported by ERC starting grant no. 337039 “WallXBirGeom” at Edinburgh. Contact Email: C.Li.25 at warwick dot ac dot uk |