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Enlin YANG   阳恩林

Mathscinet

  • CV updated on 2024/02/24
  • 简历 于2024/02/24更新
  • Current Address:
  • Office:Zhihua Building#341 (智华楼341)
  • Email: yangenlin0727 "at" 126.com or yangenlin "at" math.dzpt88.com
  • Office Hours(答疑时间): Tuesday 9:00-11:00

Research

My research focuses on arithmetic algebraic geometry and number theory, particularly geometric ramification theory and motivic cohomology.

Publications and Preprints

  • Cohomological Milnor formula and Saito's conjecture on characteristic classes (with Yigeng Zhao), Inventiones Mathematicae, 2025.02.03, 69 pages. (Here is the ArXiv version)
    • On Swan classes of contructible sheaves (with Yigeng Zhao)
  • Characteristic cycles and non-acyclicity classes for constructible etale sheaves (with Jiangnan Xiong), PDF
  • The quadratic Artin conductor of a motivic spectrum (with Fangzhou Jin), ArXiv
  • The pro-Chern-Schwarz-MacPherson class in Borel-Moore motivic homology (with Fangzhou Jin and Peng Sun), ArXiv
  • Some results on the motivic nearby cycle(with Fangzhou Jin), preprint.
  • Kunneth formulas for motives and additivity of traces (with Fangzhou Jin). Advances in Mathematics 376 (2021) 107446，83 pages.
  • Characteristic class and the epsilon factor of an etale sheaf (with Naoya Umezaki and Yigeng Zhao), Trans.Amer.Math.Soc. 373 (2020):6887-6927.
  • On the Relative Twist Formula of ℓ-adic Sheaves (with Yigeng Zhao), Acta Mathematica Sinica, 2021, Vol.37, No.1, pp.73-94.
  • Motivic singular support (with Denis-Charles Cisinski), preprint.
  • Relative singular support and the semi-continuity of characteristic cycles for etale sheaves (with Haoyu Hu), Selecta Mathematica, Volume 24,Issue 3,(2018):2235-2273. PDF
  • Semi-continuity for total dimension divisors of etale sheaves (with Haoyu Hu), International Journal of Mathematics, Volume 28, Issue 01, 2017. PDF
  • Logarithmic version of the Milnor formula, Asian Journal of Mathematics, Volume 21, No. 3 (2017). PDF
  • Derivatives of Siegel modular forms and modular connections, Manuscripta Mathematica, January 2015, Volume 146, Issue 1, pp 65–84(with Linsheng Yin). PDF
  • On the GL(r)×GL(r+s) ×GL(s) convolution, Journal of Number Theory 134, 2014:130-141(with Li Sun). PDF

Grants（招募博后，欢迎邮件咨询！！！）

  • NSFC general program 12271006, 2023-2026, Quadratic invariants in geometric ramification.
  • National Key R&D Program 2021YFA1001400, 2022-2026, L-functions and characteristic classes of varieties.
  • NSFC young scientists fund 11901008, 2020-2022, On the ramified twist formula for epsilon factors of l-adic sheaves.

Conference Publications

  • Logarithmic version of the Milnor formula (research announcement), RIMS Kokyuroku Besstasu, Algebraic Number Theory and Related Topics 2014. PDF

Lecture Notes

  • Research statement: Geometric Ramification Theory.
  • Quadratic conductor formula/Milnor formula for motivic spectra. PDF
  • Non-acyclicity classes. PDF1 ...PDF2 .......handWriting PDF
  • Talks on the epsilon factors of l-adic etale sheaves. Jussieu SFB
  • A blow up formula for Gysin pull-back. PDF (Appendix to the paper: Characteristic class and the epsilon factor of an etale sheaf)

Teaching

2025年春，代数学（实验班）II

  • 上课时间：（双周）星期一1-2节(8:00—9:50), 星期三5-6节(13:00—14:50)，第一次课：2月19日

  • 上课地点：三教203

  • 答疑时间：周三 10：00-11：00，或者预约

  • 习题课（潘翔宇&余佳弘）：周二 10-11节（18：40-20：30）（三教201与三教210）

  • 参考书：
    • Atiyah,MacDonald,Introduction to Commutative Algebra.
    • Matsumura, Commutative Algebra(Second Edition)
    • 李文威：代数学方法I
    • 李文威：代数学方法II

  • 作业：

2024年秋，无穷范畴 （取消）

2024年春，代数学（实验班）II

2023年秋，数论专题（平展上同调）

2023年春，代数学（实验班）II

2022年春，代数学（实验班）II

2021年秋，高等数学（B）（1）

2021年春，群与表示

2020年秋，无穷范畴

2020年春，代数讨论班：循环同调

2019年秋，无穷范畴

2019年春，同调代数

Seminars

Student Seminars (#313)
  • Monday 08:00-11:00, Yihao Ding / Xiangyu Pan
  • Monday 13:00-15:00, Jiangnan Xiong
  • Tuesday 08:00-10:00, Kaicheng Bao
  • Wednesday 08:00-11:00, Seminar on etale cohomology of diamonds

Seminar on Algebraic Geometry and Ramification

2023数论青年学者论坛(2023.12.02-03)

Workshop on six-functor formalism and characteristic class (Ⅰ)(2023.11.24-26)

Minicourse—Purity of Brauer groups: application of perfectoids (2023.06-07)

Workshop on vanishing cycles and Swan conductors(2023.05)

Minicourse—Introduction to log geometry(2023.03)

Workshop on the ramification theory for varieties over a local field II(2023.02)

Workshop on the ramification theory for varieties over a local field I (2022.12)

Tongji-ShanghaiTech Workshop on Algebraic Geometry

湖南代数与算术几何研讨会

Mini-Course on Singular support, characteristic cycle and wild ramification of étale sheaves (2022.07)

Workshop on Local A1-Brouwer Degree