专业兴趣方向

数论与算术代数几何: 感兴趣任何可以用交换代数与同调代数、代数叠、Tannakian范畴、无穷范畴等抽象数学工具解决的数论与代数几何问题。

 

工作经历

中山大学(The Sun Yat-sen University)  2022年9月1日-

数学学院(珠海)副教授

香港中文大学(The Chinese University of Hong Kong)20211023-2022年8月31日

数学科学研究所副研究员

香港中文大学(The Chinese University of Hong Kong)20181023-20211022

数学系研究助理教授

柏林自由大学(Freie Universitat Berlin) 2012111-20181022

数学系博士后

杜伊斯堡埃森大学(Universitat Duisburg-Essen) 201281-2012930

数学系博士后

 

教育经历

杜伊斯堡埃森大学(Universitat Duisburg-Essen)2009101-2012716

Prof. Dr. Hélène Esnault 的博士生

博士论文题目:The homotopy sequence for fundamental groups.

博士学位授予时间:2012716

 

首都师范大学20069-20096

李克正教授的硕士研究生

硕士论文题目:Left Invariant Differential Operators.

硕士学位授予时间:20096

 

中国矿业大学20029-20066

理学院数学系本科生

学士学位授予时间:20066

学术论文

  1. L. Zhang, The Homotopy Sequence for Noris Fundamental Group.
  2. Journal of Algebra, Vol. 393, pp. 79 - 91, 2013.
  3. doi: https://doi.org/10.1016/j.jalgebra.2013.07.010
  4. L. Zhang, The Homotopy Sequence for the Algebraic Fundamental Group.
  5. International Mathematics Research Notices, no. 22, 6155-6174, 2013.
  6. doi: 10.1093/imrn/rnt163
  7. L. Zhang, Noris Fundamental Group over a non-algebraically Closed Field.
  8. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (5), 18 , no. 4, 13491394, 2018.
  9. doi: 10.2422/2036-2145.201604_007
  10. F. Tonini, L. Zhang, Algebraic and Nori Fundamental Gerbes.
  11. Journal of the Institute of Mathematics of Jussieu, 1-43, 2019
  12. doi:10.1017/S147474801700024X
  13. F. Tonini, L. Zhang, F-divided sheaves trivialized by dominant maps are essentially finite.
  14. Transactions of the American Mathematical Society, 371, 1-22, 2019.
  15. doi: https://doi.org/10.1090/tran/7444
  16. M. Antei, I. Biswas, M. Emsalem, F. Tonini, L. Zhang, Nori fundamental gerbe of essentially finite covers and Galois closure of towers of torsors.
  17. Selecta Mathematica, 25, no. 2, Art. 18, 37 pp., 2019.
  18. doi: https://doi.org/10.1007/s00029-019-0449-z
  19. F. Tonini, L. Zhang, Essentially Finite Vector Bundles on Normal Pseudo-proper Algebraic Stacks.
  20. Documenta Mathematica, 25, 159-169, 2020.
  21. doi: 10.25537/dm.2020v25.159-169
  22. M. Romagny, F. Tonini, L. Zhang, The arithmetic local Nori fundamental group.
  23. To appear in Transactions of the American Mathematical Society, 2021.
  24. doi: https://doi.org/10.1090/tran/8504
  25. V. Di Proietto, F. Tonini, L. Zhang, A crystalline incarnation of Berthelots conjecture and Künneth formula for isocrystals.
  26. To appear in Journal of Algebraic Geometry, 2021.
  27. S. Otabe, F. Tonini, L. Zhang, A generalized Abhyankars conjecture for simple Lie algebras in characteristic p > 5.
  28. To appear in Mathematische Annalen, 2021.
  29.  V. Di Proietto, F. Tonini, L. Zhang, Frobenius fixed objects of moduli.
  30. Submitted. 
  31. M. Lara, J-K. Yu, L. Zhang, A theorem on meromorphic descent and the specialization of the pro-étale fudnamental group.
  32. Submitted.
  33. J-K. Yu, L. Zhang, A comparison theorem for the pro-étale fudnamental group.
  34. Submitted.

 

学术服务

(1) Duke Mathematical Journal 审稿人;

(2) Mathematical Research Letters 审稿人;

(3) Journal of Topology 审稿人;

(4) American Journal of Mathematics 审稿人;

(5) Compositio Mathematica. 审稿人;

(6) The Épijournal de Géométrie Algébrique 审稿人;

(7) Algebras and Representation Theory 审稿人 (Quick Review)

(8) Tohoku Mathematical Journal 审稿人;

(9) Geometry & Topology 审稿人。

 

研究项目

(1) 香港政府大学教育资助委员会 General Research Fund 14301019, The local fundamental group, 2020-2022.

(2) 香港中文大学理学院 Direct Grant 4053343, The pro-étale fundamental group, 11.2018-11.2020.

 

代表性会议报告

DEUTSCHEN MATHEMATIKER-VEREINIGUNG Sep. 17, 2012 - Sep. 20, 2012

at Universität des Saarlandes, Saarbrücken.

 

On the Homotopy Sequence of Noris Fundamental Group.

(Minisymposia and Sections 2012 9 17 )

 

North German Algebraic Geometry Seminar May 15, 2014 - May 16, 2014

at Universität Hamburg, Hamburg.

 

Galois Theory for Schemes.

(2014 5 16 )

 

 

Arithmétique des Variétés en Familles Nov. 4, 2014 - Nov. 7, 2014

at Institut de Mathématiques de Bordeaux.

 

Noris Fundamental Group with a Geometric Point.

(2014 11 5 )

 

Curves and Groups in Families May 13, 2019 - Nov. 17, 2019

at Henri Lebesgue Center, Rennes.

 

Fundamental group schemes en caracteristic p.

(2019 5 )

 

教学经历

(1)MATH1030E-Linear Algebra I,香港中文大学,2020-21 Term 2.

(2)MATH1030E - Linear Algebra I, 香港中文大学, 2019-20 Term 2.

(3) MATH1030H - Linear Algebra I, 香港中文大学, 夏季课程系列, 2018/2019.

(4) 习题课:Algebraic Number Theory II, Freie Universität Berlin, summer semester 2018.

(5) 讨论班: Quadratische Formen (in English Quadratic Forms), Freie Universität Berlin, summer semester

2018. 德语。

(6) 课程: Crystals and Crystalline Cohomology, Freie Universität Berlin, winter semester 2017.

(7) 讨论班: p-adische Zahlen (in English p-adic Numbers), Freie Universität Berlin, summer semester

2017. 德语。

(8) 习题课:Algebraic Number Theory II, Freie Universität Berlin, summer semester 2017.

(9) 课程: Étale Cohomology, Freie Universität Berlin, winter semester 2016-2017.

(10) 课程: Algebraic Groups, Freie Universität Berlin, summer semester 2016.

(11) 讨论班: Analytic Methods in Number Theory, Freie Universität Berlin, winter semester 2015-2016.

(12) 习题课:Elliptic Curves, Freie Universität Berlin, winter semester 2015-2016.

(13) 讨论班: Quadratic Forms, Freie Universität Berlin, summer semester 2015.

(14) 习题课:Algebraic Number Theory II, Freie Universität Berlin, summer semester 2015.

(15) 习题课:Algebraic Number Theory II, Freie Universität Berlin, winter semester 2014-2015.

(16) 讨论班:p-adic Numbers, Freie Universität Berlin, winter semester 2014-2015.

(17) 习题课:Algebraic Number Theory, Freie Universität Berlin, summer semester 2014.

(18) 习题课:Commutative Algebra I, Freie Universität Berlin, winter semester 2013-2014.

(19) 习题课:Algebraic Number Theory II, Freie Universität Berlin, summer semester 2013.

(20) Lern- und Diskussionszentren (LuDi), Universität Duisburg-Essen, summer semester 2012.

(21) 习题课:Algebraic Geometry III, Universität Duisburg-Essen, summer semester 2011.

 

学生培养

(1)2020, Li Kin Lok, 本科生论文: Integral closure of finitely generated algebra, 香港中文大学。

(2) 2018, Ragnarsson Amazeen, 硕士论文: Étale and proétale fundamental groups, Freie Universität Berlin.

(3) 2018, Janine Schuhmann, 本科论文: Klassifikation von quadratischen Form über Qp, Q und R, Freie

Universität Berlin.

 

语言能力

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