訚琪峥 - 北京大学 - 北京国际数学研究中心

个人简介

Employment Since 2023: BICMR, Peking University Associate professor 2017 – 2022: BICMR, Peking University Assistant professor (tenure track) 2014 – 2016: ETH Zürich Postdoc in the group of Rahul Pandharipande Education 2013 – 2013: Radboud Universiteit Nijmegen & Université Pierre et Marie Curie – Paris VI PhD, mention très honorable. Thesis: Tautological cycles on curves and Jacobians, supervised by Ben Moonen and Claire Voisin. 2010 – 2013: Université Pierre et Marie Curie – Paris VI & Universiteit van Amsterdam 2008 – 2010: École normale supérieure & Université Pierre et Marie Curie – Paris VI Master of Science, mention très bien. Thesis: Motifs de dimension finie et applications aux conjectures de Bloch-Beilinson (in French), supervised by Claire Voisin. 2007 – 2008: École normale supérieure & Université Paris Diderot – Paris VII Bachelor of Science, mention très bien. Thesis: Géométrisation des surfaces : construction de l’espace de Teichmüller (in French), joint with Jérémy Guéré and supervised by Mathieu Cossutta. 2004 – 2007: Peking University

研究领域

Algebraic geometry — algebraic cycles, moduli spaces, enumerative geometry, algebraic curves, abelian varieties, K3 surfaces, hyper-Kähler varieties

近期论文

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(1) Fourier-Mukai transforms and the decomposition theorem for integrable systems, joint with Davesh Maulik and Junliang Shen, arXiv:2301.05825. (2) Perverse-Hodge complexes for Lagrangian fibrations, joint with Junliang Shen, arXiv:2201.11283. (3) On intersection cohomology and Lagrangian fibrations of irreducible symplectic varieties, joint with Camilla Felisetti and Junliang Shen, Transactions of the American Mathematical Society 375 (2022), no. 4,2987 – 3001. (4) Motivic decompositions for the Hilbert scheme of points of a K3 surface, joint with Andrei Negut, and Georg Oberdieck, Journal für die Reine und Angewandte Mathematik 778 (2021), 65 – 95. (5) P = W for Lagrangian fibrations and degenerations of hyper-Kähler manifolds, joint with Andrew Harder, Zhiyuan Li, and Junliang Shen, Forum of Mathematics. Sigma 9 (2021), Paper No. e50,6 pp. (6) Topology of Lagrangian fibrations and Hodge theory of hyper-Kähler manifolds, joint with Junliang Shen,appendix by Claire Voisin, Duke Mathematical Journal 171 (2022), no. 1, 209 – 241. (7) Rational curves in holomorphic symplectic varieties and Gromov-Witten invariants, joint with Georg Oberdieck and Junliang Shen, Advances in Mathematics 357 (2019), 106829, 28 pp. (8) K3 categories, one-cycles on cubic fourfolds, and the Beauville-Voisin filtration, joint with Junliang Shen,Journal of the Institute of Mathematics of Jussieu 19 (2020), no. 5, 1601 – 1627. (9) Tautological classes with twisted coefficients, joint with Dan Petersen and Mehdi Tavakol, Annales Scientifiques de l’École Normale Supérieure (4) 54 (2021), no. 5, 1179 – 1236. (10) Derived categories of K3 surfaces, O’Grady’s filtration, and zero-cycles on holomorphic symplectic varieties,joint with Junliang Shen and Xiaolei Zhao, Compositio Mathematica 156 (2020), no. 1, 179 – 197. (11) Relations in the tautological ring of the moduli space of K3 surfaces, joint with Rahul Pandharipande,Journal of the European Mathematical Society ( JEMS) 22 (2020), no. 1, 213 – 252. (12) On O’Grady’s generalized Franchetta conjecture, joint with Nebojsa Pavic and Junliang Shen, International Mathematics Research Notices IMRN (2017), no. 16, 4971 – 4983. (13) On the Chow ring of certain rational cohomology tori, joint with Zhi Jiang, Comptes Rendus Mathématique de l’Académie des Sciences, Paris 355 (2017), no. 5, 571 – 576. (14) 𝔸1-equivalence of zero cycles on surfaces, II, joint with Yi Zhu, Annals of K-theory 3 (2018), no. 3,379 – 393. (15) Curve counting on abelian surfaces and threefolds, joint with Jim Bryan, Georg Oberdieck, and Rahul Pandharipande, Algebraic Geometry 5 (2018), no. 4, 398 – 463. (16) Cycles on curves and Jacobians: a tale of two tautological rings, Algebraic Geometry 3 (2016), no. 2,179 – 210. (17) Some remarks on modified diagonals, joint with Ben Moonen, Communications in Contemporary Mathematics 18 (2016), no. 1, 1550009, 16 pp. (18) Finite-dimensionality and cycles on powers of K3 surfaces, Commentarii Mathematici Helvetici 90(2015), no. 2, 503 – 511. (19) The generic nontriviality of the Faber-Pandharipande cycle, International Mathematics Research Notices IMRN (2015), no. 5, 1263 – 1277.