## (pre)publications

- (With Davesh Maulik, Junliang Shen, and Ruxuan Zhang) The D-equivalence conjecture for hyper-Kähler varieties via hyperholomorphic bundles. arXiv:2408.14775.
- (With Davesh Maulik and Junliang Shen) Algebraic cycles and Hitchin systems. arXiv:2407.05177.
- (With Younghan Bae, Davesh Maulik, and Junliang Shen) On generalized Beauville decompositions. arXiv:2402.08861.
- (With Davesh Maulik and Junliang Shen) Perverse filtrations and Fourier transforms. arXiv:2308.13160.
- (With Davesh Maulik and Junliang Shen) Fourier-Mukai transforms and the decomposition theorem for integrable systems. Algebr. Geom., to appear.
- (With Junliang Shen) Perverse-Hodge complexes for Lagrangian fibrations. Épijournal Géom. Algébrique, Special volume in honour of Claire Voisin (2023), Art. 6, 20 pp.
- (With Camilla Felisetti and Junliang Shen) On intersection cohomology and Lagrangian fibrations of irreducible symplectic varieties. Trans. Amer. Math. Soc. 375 (2022), no. 4, 2987-3001.
- (With Andrei Neguț and Georg Oberdieck) Motivic decompositions for the Hilbert scheme of points of a K3 surface. J. Reine Angew. Math. 778 (2021), 65-95.
- (With Andrew Harder, Zhiyuan Li, and Junliang Shen) P = W for Lagrangian fibrations and degenerations of hyper-Kähler manifolds. Forum Math. Sigma 9 (2021), Paper No. e50, 6 pp.
- (With Junliang Shen, appendix by Claire Voisin) Topology of Lagrangian fibrations and Hodge theory of hyper-Kähler manifolds. Duke Math. J. 171 (2022), no. 1, 209-241.
- (With Georg Oberdieck and Junliang Shen) Rational curves in holomorphic symplectic varieties and Gromov-Witten invariants. Adv. Math. 357 (2019), 106829, 28 pp.
- (With Junliang Shen) K3 categories, one-cycles on cubic fourfolds, and the Beauville-Voisin filtration. J. Inst. Math. Jussieu 19 (2020), no. 5, 1601-1627.
- (With Dan Petersen and Mehdi Tavakol) Tautological classes with twisted coefficients. Ann. Sci. Éc. Norm. Supér. (4) 54 (2021), no. 5, 1179-1236.
- (With Junliang Shen and Xiaolei Zhao) Derived categories of K3 surfaces, O'Grady's filtration, and zero-cycles on holomorphic symplectic varieties. Compos. Math. 156 (2020), no. 1, 179-197.
- (With Rahul Pandharipande) Relations in the tautological ring of the moduli space of K3 surfaces. J. Eur. Math. Soc. (JEMS) 22 (2020), no. 1, 213-252.
- (With Nebojsa Pavic and Junliang Shen) On O'Grady's generalized Franchetta conjecture. Int. Math. Res. Not. IMRN (2017), no. 16, 4971-4983.
- (With Zhi Jiang) On the Chow ring of certain rational cohomology tori. C. R. Math. Acad. Sci. Paris 355 (2017), no. 5, 571-576.
- (With Yi Zhu) A
^{1}-equivalence of zero cycles on surfaces, II. Ann. K-Theory 3 (2018), no. 3, 379-393. - (With Jim Bryan, Georg Oberdieck, and Rahul Pandharipande) Curve counting on abelian surfaces and threefolds. Algebr. Geom. 5 (2018), no. 4, 398-463.
- Cycles on curves and Jacobians: a tale of two tautological rings. Algebr. Geom. 3 (2016), no. 2, 179-210.
- (With Ben Moonen) Some remarks on modified diagonals. Commun. Contemp. Math. 18 (2016), no. 1, 1550009, 16 pp.
- Finite-dimensionality and cycles on powers of K3 surfaces. Comment. Math. Helv. 90 (2015), no. 2, 503-511.
- Tautological cycles on curves and Jacobians. PhD thesis, Université Paris VI and Radboud Universiteit Nijmegen, 2013.
- The generic nontriviality of the Faber-Pandharipande cycle. Int. Math. Res. Not. IMRN (2015), no. 5, 1263-1277.

## fall 2024

This semester I teach Algebraic Geometry I.

## seminar with cake/pizza

October 30, 2024

Zhiyu Liu (Zhejiang University)

TBA

October 16, 2024

Masayuki Kawakita (RIMS, Kyoto University)

TBA

October 9, 2024

Gerard van der Geer (University of Amsterdam)

The cycle class of the supersingular locus

September 25, 2024

Zheng Xu (BICMR)

Abundance for threefolds in positive characteristic

September 18, 2024

Chunyi Li (University of Warwick)

Real reduction of the Bridgeland stability manifold

September 11, 2024

Paolo Cascini (Imperial College)

Foliation adjunction

June 6, 2024

Sukjoo Lee (University of Edinburgh)

Introduction to the mirror P = W conjecture

May 30, 2024

Yucheng Liu (Chongqing University)

Continuum envelopes on Fargues-Fontaine curves and elliptic curves

May 23, 2024

Chuanhao Wei (Westlake University)

On the Hodge theory of toroidal embeddings and corresponding vanishings

May 14, 2024 (unusual time)

Takuro Abe (Rikkyo University)

Double points of line arrangements in the complex projective plane

April 25, 2024

Penghui Li (YMSC)

Graded sheaves and applications to link homology

April 11, 2024

Tao Su (BIMSA)

Dual boundary complexes of character varieties and the geometric P = W conjecture

March 28, 2024

Bin Wang (Chinese University of Hong Kong)

Picard groups of spectral varieties, instanton and monopole branches

March 21, 2024

Lu Qi (Princeton University)

Geometry of space of filtrations on local rings

March 14, 2024

Jie Liu (AMSS)

The Hitchin map and the spectral base II

March 7, 2024

Jie Liu (AMSS)

The Hitchin map and the spectral base I

## contact info

BICMR, Peking University

78306 Jingchunyuan Courtyard 78

5 Yiheyuan Road, Haidian District

Beijing 100871, China

+86 (10) 6274 4086