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
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
(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
- Y. Cheung, J. Lu: "Algebraic Turbulent Foliations, Math. Notes, 118(3) (2025), 635-643.
- X.-L. Liu, J. Lu: "On the geography of slopes of fibrations, Publ. Res. I. Math. Sci., 60 (2024), 723-739.
- J. Lu , X.-H. Wu: On the adjoint canonical divisorof a foliation, (https://doi.org/10.1007/s00229-024-01579-7).
- 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.
- 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.
- 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.
(三)预印本
- J. Lu, X. Lu, S,-L.Tan. S. Xu: Transcendental foliations whose slope is less than 2 , preprint.
- 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)
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
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
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

