About me

I am an assistant professor at
Beijing International Center for Mathematical Research.
My research area is algebraic geometry.

Address

BICMR, Peking University
78306 Jingchunyuan #78
5 Yiheyuan Road, Haidian
Beijing 100871, China

Email

qizheng@math.pku.edu.cn


Phone

+86 (10) 6274-4086

(Pre)publications

Preprints

[1] K3 categories, one-cycles on cubic fourfolds, and the Beauville-Voisin filtration. With Junliang Shen. arXiv:1712.07170.

[2] Tautological classes with twisted coefficients. With Dan Petersen and Mehdi Tavakol. arXiv:1705.08875.

[3] Derived categories of K3 surfaces, O'Grady's filtration, and zero-cycles on holomorphic symplectic varieties. With Junliang Shen and Xiaolei Zhao. arXiv:1705.06953.

[4] Relations in the tautological ring of the moduli space of K3 surfaces. With Rahul Pandharipande. arXiv:1607.08758.

Publications

[1] On O'Grady's generalized Franchetta conjecture. With Nebojsa Pavic and Junliang Shen. Int. Math. Res. Not. (2017), no. 16, 4971-4983.

[2] On the Chow ring of certain rational cohomology tori. With Zhi Jiang. C. R. Math. Acad. Sci. Paris 355 (2017), no. 5, 571-576.

[3] Curve counting on abelian surfaces and threefolds. With Jim Bryan, Georg Oberdieck, and Rahul Pandharipande. Algebr. Geom., to appear.

[4] A1-equivalence of zero cycles on surfaces II. With Yi Zhu. Ann. K-Theory, to appear.

[5] Cycles on curves and Jacobians: a tale of two tautological rings. Algebr. Geom. 3 (2016), no. 2, 179-210.

[6] Some remarks on modified diagonals. With Ben Moonen. Commun. Contemp. Math. 18 (2016), no. 1, 1550009, 16 pp.

[7] Finite-dimensionality and cycles on powers of K3 surfaces. Comment. Math. Helv. 90 (2015), no. 2, 503-511.

[8] The generic nontriviality of the Faber-Pandharipande cycle. Int. Math. Res. Not. (2015), no. 5, 1263-1277.

PhD thesis

Tautological cycles on curves and Jacobians. Université Paris VI & Radboud Universiteit Nijmegen, 2013.

Current teaching

This spring I teach Topics in Algebraic Geometry. The main topic is intersection theory.

Note: no lecture on Tuesday, May 30th due to the Dragon Boat Festival.

[1] W. Fulton, Intersection theory. Second edition. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics, 2. Springer-Verlag, Berlin, 1998. xiv+470 pp.

[2] J. P. Murre, J. Nagel, and C. A. M. Peters, Lectures on the theory of pure motives. University Lecture Series, 61. American Mathematical Society, Providence, RI, 2013. x+149 pp.

[3] C. Voisin, Chow rings, decomposition of the diagonal, and the topology of families. Annals of Mathematics Studies, 187. Princeton University Press, Princeton, NJ, 2014. viii+163 pp.