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] (With Georg Oberdieck and Junliang Shen) Rational curves in the Fano varieties of cubic 4-folds and Gromov-Witten invariants. arXiv:1805.07001.

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

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

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

Publications

[1] (With Rahul Pandharipande) Relations in the tautological ring of the moduli space of K3 surfaces. J. Eur. Math. Soc. (JEMS), to appear.

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

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

[4] (With Yi Zhu) A1-equivalence of zero cycles on surfaces II. Ann. K-Theory 3 (2018), no. 3, 379-393.

[5] (With Jim Bryan, Georg Oberdieck, and Rahul Pandharipande) Curve counting on abelian surfaces and threefolds. Algebr. Geom. 5 (2018), no. 4, 398-463.

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

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

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

[9] The generic nontriviality of the Faber-Pandharipande cycle. Int. Math. Res. Not. IMRN (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 organize an undergraduate seminar on elliptic curves.

The main reference is Silverman's book.

Joseph H. Silverman, The arithmetic of elliptic curves. Second edition. Graduate Texts in Mathematics, 106. Springer, Dordrecht, 2009. xx+513 pp.