# Chunyi Li

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.

Papers and Preprints

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). Selecta Math. (N.S.) 27 (2021), no. 3, Paper No. 48, 34 pp.

Twisted cubics on cubic fourfolds and stability conditions, (C. Li, L. Pertusi and X. Zhao). Algebraic Geometry 10 (2023), no. 5, 620–642.

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). Math. Res. Lett.30(2023), no.1, 51–87.

Applications of stability conditions in complex algebraic geometry, (C. Li) a short survey article to the Proceeding of 8th ICCM.

Quintic elliptic on cubic fourfolds, O'Grady 10, and Lagrangian fibrations, (C. Li, L. Pertusi and X. Zhao). Adv. Math. 408 (2022), Paper No. 108584, 56 pp.

Stability manifolds of varieties with finite Albanese morphisms, (L. Fu, C. Li and X. Zhao). Trans. Amer. Math. Soc. 375 (2022), 5669-5690.

A Refined Derived Torelli Theorem for Enriques surfaces, II: the non-generic case, (C. Li, P. Stellari and X. Zhao). Math. Z. 300, 3527-3550 (2022) (Special Issue in Honor of Olivier Debarre).

Derived categories of hearts on Kuznetsov components, (C. Li, L. Pertusi and X. Zhao), Journal of LMS, 108, (2023), 2146-2174.

A Note on Spherical Bundles on K3 Surfaces, (C. Li, S. Liu), arxiv:2310.10842, 25 pages with Appendix by G. Ouchi.

Fully faithful functors, skyscraper sheaves, and birational equivalence, (C. Li, X. Lin and X. Zhao), arxiv:2402.12573, 20 pages.

Higher dimensional moduli spaces on Kuznetsov components of Fano threefolds, (C. Li, Y. Lin, L. Pertusi and X. Zhao), arxiv:2406.09124, 68 pages.

Talk:

Stronger Bogomolov-Gieseker type inequality and stability conditions, at Bonn Nov 2018.

Teaching

Grant

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.

Contact

Office: B1.32

Email: C.Li.25 at warwick dot ac dot uk