Changjian Fu

About

Professor

Department of Mathematics

Sichuan University (Wangjiang Campus)

Email: changjianfu at scu dot edu dot cn

Research

I am interested in interplay between Representation Theory of finite dimensional Algebras and related topics, such as quantum groups, cluster algebras and combinatorics. My research is currently supported by NSFC.

Preprints.

• Karin BAUR, Changjian FU and Jianrong LI.
  A correspondence between additive and monoidal categorifications with application to Grassmannian cluster categories.
  arXiv:2410.04401 @arXiv
  
• Changjian FU and Shengfei GENG.
  On denominator conjecture for cluster algebras of finite type.
  arXiv:2409.10914 @arXiv
  
• Changjian FU and Shengfei GENG.
  Denominator conjecture for some surface cluster algebras.
  arXiv:2407.11826 @arXiv
  
• Changjian FU, Shengfei GENG and Pin LIU.
  τ-tilting graphs and quotients.
  arXiv:2401.05158 @arXiv
  
• Changjian FU and Shengfei GENG.
  Intersection vectors over tilings with applications to gentle algebras and cluster algebras.
  arXiv:2212.11497 @arXiv
  

Publications.

• Changjian FU, Liangang PENG and Huihui YE.
  On F-polynomials for generalized quantum cluster algebras and Gupta's formula.
  Symmetry, Integrability and Geometry: Methods and Applications (2024) 20,080, 26 pages.
  https://doi.org/10.3842/SIGMA.2024.080
  
• Changjian FU and Yasuaki Gyoda.
  Compatibility degree of cluster complexes.
  Annales de L'institut Fourier (2024) 74, no.2, 663-718.
  https://aif.centre-mersenne.org/articles/10.5802/aif.3596/
  
• Changjian FU, Longjun RAN and Liang YANG .
  On homological properties of the category of F_1-representations over a linear quiver of type A_n.
  Journal of Algebra (2024) 646, 1-16.
  https://doi.org/10.1016/j.jalgebra.2024.01.034 There is a typo in the definition of Euler form in the publication version, see arXiv version.@arXiv
  
• Changjian FU and Shengfei GENG.
  On maximal green sequence for quivers arising from weighted projective lines.
  Algebr. Represent. Theory (2023) 26, 1713-1729.
  https://doi.org/10.1007/s10468-022-10152-3
  
• Changjian FU, Shengfei GENG and Pin LIU.
  Exchange graphs of cluster algebras have the non-leaving-face property.
  Bulletin London Math. Soc. (2023), 55, 2062-2069.
  https://doi.org/10.1112/blms.12836
  
• Changjian FU, Shengfei GENG, Pin LIU and Yu ZHOU.
  On support τ-tilting graphs of gentle algebras.
  Journal of Algebra (2023), 628, 189-211.
  https://doi.org/10.1016/j.jalgebra.2023.03.013
  
• Neil J. Y. FAN, Changjian FU and Liangang PENG.
  Quantized cohomological Hall algebra of the d-loop quiver revisited.
  Forty years of algebraic groups, algebraic geometry, and representation theory in China—in memory of the centenary year of Xihua Cao's birth, 39–54, East China Norm. Univ. Sci. Rep., 16, World Sci. Publ., Singapore, 2023
  https://doi.org/10.1142/13059
  
• Changjian FU, Liangang PENG and Haicheng ZHANG.
  Quantum cluster characters of Hall algebras revisited.
  Selecta Math.(2023) 29:4.
  https://doi.org/10.1007/s00029-022-00811-0
  
• Wei DAI and Changjian FU.
  A reduction approach to silting objects for derived categories of hereditary categories.
  Colloq. Math. 170 (2022), no. 2, 239-252.
  https://doi.org/10.4064/cm8480-11-2021
  
• 付昌建 耿圣飞 刘品 .
  丛代数中的整数向量.
  数学理论与应用 42卷 第1期 (2022), 1-15.
  http://mta.csu.edu.cn/CN/Y2022/V42/I1/1
  
• Changjian FU and Shengfei GENG.
  On cluster-tilting graphs for hereditary categories.
  Adv. Math. 383 (2021),Paper No. 107670, 26 pp.
  https://doi.org/10.1016/j.aim.2021.107670
  
• Changjian FU, Shengfei GENG and Pin LIU.
  Cluster algebras arising from cluster tubes I: integer vectors.
  Math. Zeit. 297 (2021), no. 3-4, 1793–1824.
  https://doi.org/10.1007/s00209-020-02580-y
  
• Changjian FU and Shengfei GENG.
  On cluster categories of weighted projective lines with at most three weights.
  J. Algebra 573 (2021), 16–37.
  https://doi.org/10.1016/j.jalgebra.2020.12.027
  
• Changjian FU, Shengfei GENG and Pin LIU.
  Cluster algebras arising from cluster tubes II: The Caldero-Chapoton map.
  J. Algebra 544 (2020), 228-261.
  https://doi.org/10.1016/j.jalgebra.2019.10.025
  
• Changjian FU and Shengfei GENG.
  Tilting modules and support τ-tilting modules over preprojective algebras associated with symmetrizable Cartan matrices.
  Algebr. Represent. Theory 22 (2019), no. 5, 1239–1260.
  https://doi.org/10.1007/s10468-018-9819-z
  
• Changjian FU and Shengfei GENG.
  On indecomposable τ-rigid modules for cluster-tilted algebras of tame type.
  J. Algebra 531 (2019), 249–282.
  https://doi.org/10.1016/j.jalgebra.2019.04.024
  
• Changjian FU, Shengfei GENG and Pin LIU.
  Relative rigid objects in triangulated categories.
  J. Algebra 520 (2019), 171–185.
  https://doi.org/10.1016/j.jalgebra.2018.11.016
  
• Changjian FU.
  Feigin's map revisited.
  J. Pure Appl. Algebra 222 (2018), no. 12, 4199–4222.
  https://doi.org/10.1016/j.jpaa.2018.02.028
  
• 付昌建 彭联刚.
  Hall代数上的Poisson代数结构.
  中国科学：数学 48卷, 第11期 (2018),1673-1680.
  https://doi.org/10.1360/N012017-00268
  
• 付昌建 彭联刚.
  量子二重对数与循环箭图.
  中国科学：数学 47卷， 第11期 (2017), 1557-1564.
  https://doi.org/10.1360/N012016-00248
  
• Changjian FU.
  c-vectors via τ-tilting theory.
  J. Algebra 473 (2017), 194–220.
  https://doi.org/10.1016/j.jalgebra.2016.10.031
  
• Changjian FU and Liangang PENG.
  On Borcherds type Lie algebras.
  Math. Zeit. 278 (2014), no. 3-4, 705–742.
  https://doi.org/10.1007/s00209-014-1331-5
  
• Changjian FU.
  Hall polynomials for representation-finite repetitive cluster-tilted algebras.
  Algebr. Represent. Theory 17 (2014), no. 4, 1137–1143.
  https://doi.org/10.1007/s10468-013-9437-8
  
• Changjian FU.
  On root categories of finite-dimensional algebras.
  J. Algebra 370 (2012), 233–265.
  https://doi.org/10.1016/j.jalgebra.2012.07.037
  
• Changjian FU and Dong YANG.
  The Ringel-Hall Lie algebra of a spherical object.
  J. Lond. Math. Soc. (2) 85 (2012), no. 2, 511–533.
  https://doi.org/10.1112/jlms/jdr064
  
• Changjian FU and Bernhard KELLER.
  On cluster algebras with coefficients and 2-Calabi-Yau categories.
  Trans. Amer. Math. Soc. 362 (2010), no. 2, 859–895.
  https://doi.org/10.1090/S0002-9947-09-04979-4
  
• Changjian FU and Pin LIU.
  Lifting to cluster-tilting objects in 2-Calabi-Yau triangulated categories.
  Comm. Algebra 37 (2009), no. 7, 2410–2418.
  https://doi.org/10.1080/00927870802263265
  
• 付昌建.
  负分次微分分次范畴的导出范畴上的 t-结构.
  四川大学学报（自然科学版） 46 (2009), no. 1, 39–43.
  

Teaching

• 2022 Autum.
  Linear Algebra I.
  Introduction to Cluster Algebras.
• 2023 Spring.
  Linear Algebra II.
  Introduction to Representation Theory of finite dimensional Algebras.
• 2023 Autum.
  Linear Algebra I.

Seminar

• 2023 Autum.
  Derived Categories and Triangulated Categories.
• 2024 Autum.
  Scattering diagram.

Talks

• 2022.06 On support tau-tilting graphs of finite dimensional algebras
• 2023.08 Rep of quiver over virtual field
• 2024.08 On denominator conjecuter of cluster algebras

Links

• Changjian Fu@arXiv
• Changjian Fu@AMS
• Changjian Fu@GoogleScholar
• OverLeaf