Welcome to Miantao LIU's Homepage

  • Institut de Mathematiques de Jussieu-Paris Rive Gauche


    • CNRS Paris Diderot Sorbonne Université

    I am a PhD student under the direction of Prof. Bernhard Keller.

    UMR 7586 CNRS-Universite Pierre et Marie Curie-Universite Paris Diderot

  • UFR de Mathematiques, Case 7012
  • Sophie Germain
  • 5 Rue Thomas Mann
  • 75205 Paris Cedex 13

    • Office:

  • Sophie Germain,Room 658, 6-th floor.

    • Email:

  • miantaoliu@imj-prg.fr
  • miantao.liu@etu.u-paris.fr
  • dg1921007@smail.nju.edu.cn

    • Research Interests

    1. Cluster algebras, their categorification; Differential graded categories; Representation theory of finite-dimensional algebras and Hopf algebras

    Publications and preprints

    Publications

    • Morphism categories of Gorenstein-projective modules, Algebra Colloq. 3 (2018).
    • Algebraic K -theory of Gorenstein projective modules, Front. Math. 1 (2018).
    • Finite dimensional Nichols algebras over H of Kashina (2022).
    • Categorification of Goncharov--Shen's basic triangle (2024) in preparation.

    Preprints

    • Finite dimensional Nichols algebras over H of Kashina.(https://arxiv.org/pdf/2207.11863.pdf)
    • Categorification of Goncharov-Shen's basic triangle.

    Presentations

    • Categorification of Goncharov-Shen's basic triangle (Shanghai: SJTU ICRA 2024 25 minutes)
    • Categorification of Goncharov-Shen basic's triangle ( Nanjing: NJU 50 minutes 2024)
    • Categorification of Goncharov-Shen's basic triangle (Gong show talk),Oberwolfach, MFO, Hochschild (Co)Homology and Applications, 2024.
    • An additive categorification of cluster algebra. (IMJ-PRG 2024 30 minutes).
    • Categorification of Goncharov-Shen's basic triangle (40 minutes 2024) ( Uni. of Strasbourg, Hochschild (Co)Homology and Applications)
    • Morphism category of Gorenstein projective modules. (30 minutes 2022) (Jiangsu Institute of Technology; National Natural ScienceTianyuan Foundation Gorenstein homology algebra Conference).
    • Finite dimensional Nichols algebras over H of Kashina (40 minutes 2021) (NJU ;Workshop on Hopf Algebra and tensor categories).

    Useful Links

    Some Professors

    Some Professors of French group:
  • Bernhard Keller
  • Claire Amiot
  • Pierre-Guy Plamondon
  • Yann Palu
  • Fan Qin
  • Dong Yang
  • Guodong Zhou
    • My teachers in China:
  • Nanqing Ding
  • Nan Gao
  • Zhaoyong Huang
  • Gongxiang Liu
  • Dong Yang
  • Guodong Zhou

    • Education

  • September 03, 2022-2025    IMJ-PRG,under the direction of Prof. Bernhard Keller
    • (University of Paris, Universite Paris Cite)

  • April 01, 2019-September 02, 2022   Nanjing University, under the direction of Prof. Gongxiang Liu

  • September 01, 2016-April 01, 2019    Shanghai University and East China Normal University, under the direction of Nan Gao, Guodong Zhou.