孟晟
研究员
所属大学: 华东师范大学
所属学院: 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
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)