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Lu, Jun ( 陆 俊 ) 
Title: Professor
Department: Pure Mathematics
Office: Room 110, Math Building
Telephone: 54342646-110
Email: jlu@math.ecnu.edu.cn
Homepage: http://math.ecnu.edu.cn/~jlu
Homepage2: https://faculty.ecnu.edu.cn/_s42/lj2_11098/main.psp
Research Interest
Algebraic geometry
Resume
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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
Selected Publications
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(一)基金项目:
(1) 青年科学基金项目: 关于纤维化的局部与整体不变量,2012/1-2014/12, 已结题,主持
(2) 面上项目: 代数曲面纤维化的不变量及其应用, 2017/1-2020/12, 14/12, 已结题,主持
(3) 重点项目: 代数簇的几何,2013/1-2017/12,已结题, 参加。
(4) 国际合作: 代数曲线和曲面纤分类的方法, 2017.10-2020.9, 已结题,参加。
(5) 面上项目,高维代数簇的相关问题,2015/01-2018/12, 已结题, 参加。

(二) 期刊论文

  1. Y. Cheung, J. Lu: "Algebraic Turbulent Foliations, Math. Notes, 118(3) (2025), 635-643.

  2. X.-L. Liu, J. Lu: "On the geography of slopes of fibrations, Publ. Res. I. Math. Sci., 60 (2024), 723-739.

  3. J. Lu , X.-H. Wu: On the adjoint canonical divisorof a foliation, (https://doi.org/10.1007/s00229-024-01579-7).

  4. C. Gong, J. Lu, S.-L. Tan: On the determinant of a dual periodic singular fiber, Bull. Korean Math. Soc.60(2023), no.5, 1365–1374.

  5. H. Lin, J. Lu , S.-L. Tan: The braitional invariants of Lins Neto's foliation, Proc. Amer. Math. Soc.151(2023), no.12, 5223–5238.

  6. J. Lu , X.-H. Wu: A counterexample to Gurjar-Zhang's conjectures, Inter. J. Math., 34(2) (2023),2350012 (9 pages).

  7. C. Gong, Y. Gu: J. Lu and P. Pollack: On the stable reduction of hyperelliptic curves,Tohoku Mathematical Journal, 74(2) (2022),195-213.

  8. J. Hong, J. Lu: A note on surface singularities of multiplicity four,Acta Math. Sinica Chinese Series, 6(3) (2021),455-462.

  9. C. Gong, S. Kitagawa, J. Lu: Extremal trigonal fibrations on rational surfaces, J. Math. Soc. Japan, 73 (2) (2021), 505–524.

  10. J. Hong, J. Lu , S.-L. Tan: On the Slope of Non-algebraic Holomorphic Foliations,Proceeding of AMS, 148(11) (2020), 4817-4830

  11. 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.

  12. J. Lu, S.-L. Tan, K.Zuo: Canonical Class Inequality for Fibred Spaces, 368(3-4) (2017), 1311-1332.

  13. 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.

  14. 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.

  15. J. Lu, S.-L. Tan: On surface singularities of multiplicity three, Method and Applications of Analysis, 21 (2014), no.4, 457-480.

  16. 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.

  17. 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.

(三)预印本

  1. J. Lu, X. Lu, S,-L.Tan. S. Xu: Transcendental foliations whose slope is less than 2 , preprint.

  2. C.Gong, J. Lu, S,-L.Tan: On the Poincare problem for Riccati foliations, preprint.

  3. C.Gong, J. Lu, S,-L.Tan: On the classification and Mordell-Weil groups of families of curves with two singular fibers, preprint.

  4. Z.-J. Chen, J. Lu, S.-L. Tan: On the modular invariants of a family of non-hyperelliptic curves of genus 3, preprint.

  5. Z.-J. Chen, J. Lu, S.-L. Tan: On the upper bound of the slope of a trigonal fibration,   preprint.

  6. J. Lu,, Global invariants of trigonal fibrations (Thesis for Ph.D. 2007)

Recent Publications(From MathSciNet)
MR5013624 Pending Cheung, Y.; Lu, J. Algebraic turbulent foliations. Math. Notes 118 (2025), no. 3-4, 635–643. 32M25 (14E30 37F75)
Publication Year 2025 Indexed 2026-03-13
MR4822029 Reviewed Lu, Jun; Wu, Xiao Hang On the 1-adjoint canonical divisor of a foliation. Manuscripta Math. 175 (2024), no. 3-4, 739–752. (Reviewer: Shaheen Nazir) 14C21 (14D06 14H10 32S65 37F75)
Publication Year 2024 Indexed 2025-01-17 Review Published2025-10-02
MR4819853 Pending Liu, Xiao-Lei; Lu, Jun On the geography of slopes of fibrations. Publ. Res. Inst. Math. Sci. 60 (2024), no. 4, 723–739. 14D06 (14H10 14H30)
Publication Year 2024 Indexed 2025-01-10
MR4725844 Reviewed Gong, Cheng; Lu, Jun; Tan, Sheng-Li On the determinant of a dual periodic singular fiber. Bull. Korean Math. Soc. 60 (2023), no. 5, 1365–1374. (Reviewer: Valentina Beorchia) 14D06 (14C21 14H10)
Publication Year 2023 Indexed 2024-05-31 Review Published2025-05-31
MR4648921 Reviewed Ling, Hao; Lu, Jun; Tan, Sheng-Li The birational invariants of Lins Neto's foliations. Proc. Amer. Math. Soc. 151 (2023), no. 12, 5223–5238. (Reviewer: Alan Muniz) 32S65 (14D06 14E20 37F75)
Publication Year 2023 Indexed 2023-12-05 Review Published2024-06-06
MR4552205 Reviewed Lu, Jun; Wu, Xiao-Hang A counterexample to Gurjar-Zhang's conjectures. Internat. J. Math. 34 (2023), no. 2, Paper No. 2350012, 9 pp. (Reviewer: Enrica Floris) 14D06 (14F35 14J26 32S65 37F75)
Publication Year 2023 Indexed 2023-04-17 Review Published2024-04-29
MR4455864 Reviewed Gong, Cheng; Gu, Yi; Lu, Jun; Pollack, Paul On the stable reduction of hyperelliptic curves. Tohoku Math. J. (2) 74 (2022), no. 2, 195–213. (Reviewer: Juan C. Migliore) 14D05 (11J71 11K06 14D06 14J25)
Publication Year 2022 Indexed 2022-09-21 Review Published2023-03-17
MR4323746 Reviewed Hong, Jie; Lu, Jun A note on surface singularities of multiplicity four. (Chinese) Acta Math. Sinica (Chinese Ser.) 64 (2021), no. 3, 455–462. 14E15 (14B05 32S45)
Publication Year 2021 Indexed 2022-03-18 Review Published2022-03-23
MR4255078 Reviewed Gong, Cheng; Kitagawa, Shinya; Lu, Jun Extremal trigonal fibrations on rational surfaces. J. Math. Soc. Japan 73 (2021), no. 2, 505–524. (Reviewer: Jing Zhang) 14J26 (14D06)
Publication Year 2021 Indexed 2021-07-09 Review Published2022-04-05
MR4143396 Reviewed Hong, Jie; Lu, Jun; Tan, Sheng-Li On the slope of non-algebraic holomorphic foliations. Proc. Amer. Math. Soc. 148 (2020), no. 11, 4817–4830. (Reviewer: Víctor León) 32S65 (14D06 14E20 37F75)
Publication Year 2020 Indexed 2020-10-26 Review Published2021-04-14
MR3767272 Reviewed Liu, Pan; Lu, Jun; Ye, Fei On lower bounds for slopes of totally ramified triple cover fibrations. Asian J. Math. 21 (2017), no. 5, 981–994. (Reviewer: Hao Max Sun) 14D06
Publication Year 2017 Indexed 2018-05-15 Review Published2018-08-07
MR3673655 Reviewed Lu, Jun; Tan, Sheng-Li; Zuo, Kang Canonical class inequality for fibred spaces. Math. Ann. 368 (2017), no. 3-4, 1311–1332. (Reviewer: Ariyan Javanpeykar) 14D07 (14G40 32G20)
Publication Year 2017 Indexed 2017-09-27 Review Published2018-02-22
MR3466827 Reviewed Gong, Cheng; Lu, Jun; Tan, Sheng-Li On families of complex curves over $\Bbb{P}^1$ with two singular fibers. Osaka J. Math. 53 (2016), no. 1, 83–99. (Reviewer: Roberto Pignatelli) 14D06 (14C21 14H10)
Publication Year 2016 Indexed 2016-05-26 Review Published2016-12-22
MR3272313 Reviewed Lu, Jun; Tan, Sheng-Li On surface singularities of multiplicity three. Methods Appl. Anal. 21 (2014), no. 4, 457–480. (Reviewer: Sergio Mathew Da Silva) 14B05 (32S45)
Publication Year 2014 Indexed 2014-12-12 Review Published2015-04-24
MR3150217 Reviewed Lu, Jun; Tan, Sheng-Li; Yu, Fei; Zuo, Kang A new inequality on the Hodge number $h^{1,1}$ of algebraic surfaces. Math. Z. 276 (2014), no. 1-2, 543–555. (Reviewer: Zhi Jiang) 14C30 (14D06 14D07 14J25)
Publication Year 2014 Indexed 2014-03-26 Review Published2014-05-15
MR3042588 Reviewed Lu, Jun; Tan, Sheng-Li Inequalities between the Chern numbers of a singular fiber in a family of algebraic curves. Trans. Amer. Math. Soc. 365 (2013), no. 7, 3373–3396. (Reviewer: Kelly Jabbusch) 14D06 (14C21 14H10)
Publication Year 2013 Indexed 2013-07-11 Review Published2013-10-14
MR2560851 Reviewed Lu, Jun; Sheng, Mao; Zuo, Kang An Arakelov inequality in characteristic $p$ and upper bound of $p$-rank zero locus. J. Number Theory 129 (2009), no. 12, 3029–3045. (Reviewer: Cícero Carvalho) 14H10 (14G17)
Publication Year 2009 Indexed 2009-12-23 Review Published2010-06-21

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