孟晟 - 华东师范大学 - 数学科学学院

个人简介

Appointments 09/2022-Current Young Research Fellow, East China Normal University, China 08/2019-08/2022 Research Fellow, Korea Institute for Advanced Study, Republic of Korea 08/2018-07/2019 Postdoc, Max Planck Institute for Mathematics, Germany 08/2017-07/2018 Research Assistant, National University of Singapore, Singapore Education 2007-2011 BSc. Department of Mathematics - Nanjing University, China 2011-2013 MSc. Department of Mathematics - Nanjing University, China 2013-2018 PhD. Department of Mathematics - National University of Singapore, Singapore Awards and Honors 2019 Louis Chen Hsiao Yun Best Dissertation Prize National University of Singapore, Singapore

研究领域

代数几何，双有理几何，动力系统

近期论文

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Published Ampleness of canonical divisors of hyperbolic normal projective varieties, Math. Z. (2014) 278:1179 - 1193. (with F. Hu and D.-Q. Zhang) Jordan property for non-linear algebraic groups and projective varieties, Amer. J. Math. Vol 140, no. 4, August 2018, 1133-1145. (with D.-Q. Zhang) Building blocks of polarized endomorphisms of normal projective varieties, Adv. Math., vol. 325, pp. 243-273, 2018. (with D.-Q. Zhang) Characterizations of Toric Varieties via Polarized Endomorphisms, Math. Z. 292 (2019), no. 3-4, 1223-1231. (with D.-Q. Zhang) Polarized endomorphisms of normal projective threefolds in arbitrary characteristic, Math. Ann. 378 (2020), no. 1-2, 637-665. (with P. Cascini and D.-Q. Zhang) Building blocks of amplified endomorphisms of normal projective varieties, Math. Z. 294 (2020), no. 3, 1727-1747. Semi-group structure of all endomorphisms of a projective variety admitting a polarized endomorphism, Math. Res. Lett. 27 (2020), no. 2, 523-550. (with D.-Q. Zhang) Normal projective varieties admitting polarized or int-amplified endomorphisms, Acta Math. Vietnam., (2019), 1-16. (with D.-Q. Zhang) Invariant subvarieties with small dynamical degree, Int. Math. Res. Not. IMRN, Vol 2022, no. 15, 11448-11483 doi.org/10.1093/imrn/rnab039 (with Y. Matsuzawa, T. Shibata, D.-Q. Zhang and G. Zhong) Non-isomorphic endomorphisms of Fano threefolds, Math. Ann. 383, 1567-1596 (2022). (with D.-Q. Zhang and G. Zhong) Rigidity of rationally connected smooth projective varieties from dynamical viewpoints, Math. Res. Lett. Vol. 30, No. 2 (2023), pp. 589-610. (with G. Zhong) Jordan property for automorphism groups of compact spaces in Fujiki's class, J. Topol. 15 (2022), no.2, 806-814. (with F. Perroni and D.-Q. Zhang) Kawaguchi-Silverman conjecture for surjective endomorphisms, Doc. Math. 1605-1642 (2022). (with D.-Q. Zhang) Log Calabi-Yau structure of projective threefolds admitting polarized endomorphisms, Int. Math. Res. Not. IMRN, (to appear), https://doi.org/10.1093/imrn/rnac308 (Delicated to Professor De-Qi Zhang on his sixtieth birthday) On endomorphisms of projective varieties with numerically trivial canonical divisors, Internat. J. Math. 34 (2023), no. 1, Paper No. 2250093, 27 pp. Non-density of points of small arithmetic degrees, J. Geom. Anal. 33 (2023), no. 4, Paper No. 112, 41 pp. (with Y. Matsuzawa, T. Shibata and D.-Q. Zhang) Preprints Equivariant Kaehler model for Fujiki's class, https://arxiv.org/abs/2201.06748 (with J. Jia) Moishezon manifolds with no nef and big classes, https://arxiv.org/abs/2208.12013 (with J. Jia) Structures theorems and applications of non-isomorphic surjective endomorphisms of smooth projective threefolds, https://arxiv.org/abs/2309.07005 (with D.-Q. Zhang)