陆俊 - 华东师范大学 - 数学科学学院

个人简介

EMPLOYMENT 2023.3–Now: Professor, Department of Mathematics, East China Normal University 2012.1–2023.2: Associate Professor, Department of Mathematics, East China Normal University 2008.1 –2009.1: Post-doctor, Department of Mathematics, Mainz University, Germany 2007.7 – 2011.12: Lecturer, Department of Mathematics, East China Normal University EDUCATION 2004.9 – 2007.6: Ph.D Student, East China Normal University (Major: Algebraic Geometry) 2001.9 – 2004.7: M. S. East China Normal University (Major: Algebraic Geometry) 1998 .9– 2001.7: B. S. East China Normal University (Major: Mathematics) 1995.9 – 1998.7: Shanghai Middle School

研究领域

主要研究方向是代数曲面目前对如下几类研究课题感兴趣： (A) 代数曲面上的纤维化： (1) 曲面纤维化的不变量研究及其应用：寻找模不变量、奇异纤维陈省身数之间的关系，计算某些特殊纤维化的模不变量等等 (2) Belyi纤维化的研究 (3) 纤维化的Mordell-Weil个研究 (B)高维纤维化与正特征曲面纤维化：比如Arakelov不等式、典范类不等式等等 (C)代数曲面上的叶状结构：比如研究叶状结构的陈省身数等等

近期论文

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期刊论文 C. Gong, J. Lu, S.-L. Tan: On the determinant of a dual periodic singular fiber, Bull. Korean Math. Sci, 2023. X.-L. Liu, J. Lu: "On the geography of slopes of fibrations, Publ. Res. I. Math. Sci., 2023. H. Lin, J. Lu , S.-L. Tan: The birational invariants of Lins Neto's foliations, Proc. AMS, 151 (2023), 5223-5238. J. Lu , X.-H. Wu: A counterexample to Gurjar-Zhang's conjectures, Inter. J. Math., 34(2) (2023),2350012 (9 pages). C. Gong, Y. Gu: J. Lu and P. Pollack: On the stable reduction of hyperelliptic curves,Tohoku Mathematical Journal, 74(2) (2022),195-213. J. Hong, J. Lu: A note on surface singularities of multiplicity four,Acta Math. Sinica Chinese Series, 6(3) (2021),455-462. C. Gong, S. Kitagawa, J. Lu: Extremal trigonal fibrations on rational surfaces, J. Math. Soc. Japan, 73 (2) (2021), 505–524. J. Hong, J. Lu , S.-L. Tan: On the Slope of Non-algebraic Holomorphic Foliations,Proceeding of AMS, 148(11) (2020), 4817-4830 P. Liu, J. Lu, F. Ye: On lower bounds for slopes of totally ramified triple cover fibrations, Asian Journal of Mathematics, 21(5) (2017), 981-994. J. Lu, S.-L. Tan, K.Zuo: Canonical Class Inequality for Fibred Spaces, 368(3-4) (2017), 1311-1332. C. Gong, J. Lu, S.-L. Tan: On families of curves over $\mathbb{P}^1$ with two singular fibers, Osaka J. Math. 53 (2016),83-99. J. Lu, S.-L. Tan, F. Yu, K. Zuo: A new inequality on the Hodge number of algebraic surfaces, Math. Z., 276 (2014) 543--555. J. Lu, S.-L. Tan: On surface singularities of multiplicity three, Method and Applications of Analysis, 21 (2014), no.4, 457-480. J. Lu, S.-L. Tan：Inequalities between the Chern numbers of a singular fiber in a family of algebraic curves， Trans. Amer. Math. Soc., 365 (2013), 3373-3396. J. Lu, M.Sheng, K. Zuo: An Arakelov inequality in characterstic p and upper bound of p-rank zero locus, J. Number Theory, 129, 12 (2009), 3029-3045. 预印本 J. Lu , X.-H. Wu: On the adjoint canonical divisorof a foliation, preprint. [5] C.Gong, J. Lu, S,-L.Tan: On the Poincare problem for Riccati foliations, preprint. C.Gong, J. Lu, S,-L.Tan: On the classification and Mordell-Weil groups of families of curves with two singular fibers, preprint. Z.-J. Chen, J. Lu, S.-L. Tan: On the modular invariants of a family of non-hyperelliptic curves of genus 3, preprint. Z.-J. Chen, J. Lu, S.-L. Tan: On the upper bound of the slope of a trigonal fibration, preprint. J. Lu,, Global invariants of trigonal fibrations (Thesis for Ph.D. 2007)