Jiawen Zhang
(章嘉雯)
Welcome to my homepage!
Address School of Mathematics
Fudan University
No. 220 Handan Road,
Shanghai, 200433, China
Email jiawenzhang@fudan.edu.cn
Position Associate Professor
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About Me
About Me
Since 12.2023, I have been an associate professor in the School of Mathematical Sciences, Fudan University (复旦大学).
From 04.2021 to 12.2023, I was a junior associate researcher in the School of Mathematical Sciences, Fudan University (复旦大学).
From 03.2016 to 03.2021, I was a research fellow in the research group of noncommutative geometry and geometric group theory at the University of Southampton sponsored by the Royal Society--Sino-British Fellowship. My supervisor is Prof. Graham A. Niblo.
From 09.2015 to 03.2016, I was in the research group of Prof. Goulnara Arzhantseva at the University of Vienna.
Research Interests
Research Interests
My research areas are geometric group theory & coarse geometry, operator algebras & higher index theory, graph theory, and dynamical systems. Mainly in:
My research areas are geometric group theory & coarse geometry, operator algebras & higher index theory, graph theory, and dynamical systems. Mainly in:
Geometric and analytic properties of CAT(0) cube complexes, coarse median spaces and algebras;
Quasi-locality, (strongly) quasi-local algebras and the associated coarse Baum-Connes conjecture;
Asymptotic expanders and counterexamples to the coarse Baum-Connes conjecture;
Measured asymptotic expanders and the rigidity problem of (uniform) Roe algebras;
Asymptotically expanding in measure actions and strong ergodicity;
Ideals in (uniform) Roe algebras and reduced groupoid C*-algebras.
Publications
Publications
(with Jingming Zhu) A weight-free characterisation of Yu's property A. Bull. Lond. Math., online first, 2025. DOI:10.1112/blms.70136
(with Zhijie Wang and Benyin Fu) Fibring structures of ideals in Roe algebras and their K-theories. Accepted by SCIENTIA SINICA Mathematica (in Chinese), 2025. arXiv:2507.17105
(with Jingming Zhu) Transfinite extension of nuclear dimension. Banach J. Math. Anal., 19:14, 2025. DOI:10.1007/s43037-025-00403-y
(with Graham Niblo and Nick Wright) Building weight-free Folner sets for Yu's Property A in coarse geometry, 2024. To appear in Algebr. Geom. Topol., arXiv:2405.06438
(with Kang Li) Tracial states on groupoid C*-algebras and essential freeness, 2024. J. Noncommutative Geom., online first, 2024. DOI:10.4171/JNCG/597
(with Baojie Jiang) Rigidity for geometric ideals in uniform Roe algebras, 2024. To appear in J. Oper. Theory, arXiv:2307.06525
(with Qizheng You) Examples of hyperbolic spaces without the properties of quasi-ball or bounded eccentricity. Glasgow Math. J., 66:440-448, 2024. DOI:10.1017/S0017089524000065
(with Benyin Fu) The equivariant coarse Baum-Connes conjecture for actions by a-T-menable groups. Studia Math., 275:99-146, 2024. DOI:10.4064/sm230417-7-2
(with Xiaoman Chen and Kun Gao) The strongly quasi-local coarse Novikov conjecture and Banach spaces with property (H). Kyoto J. Math., 64(1):31-74, 2024. DOI:10.1215/21562261-2023-0010
(with Kang Li and Ján Špakula) Measured expanders. J. Topol. Anal., 16(6):917-944, 2024. DOI:10.1142/S1793525322500078
(with Jingming Zhu) Characterisations for uniform amenability. Indag. Math., 34:1318-1328, 2023. DOI:10.1016/j.indag.2023.06.003
(with Kang Li and Federico Vigolo) A Markovian and Roe-algebraic approach to asymptotic expansion in measure. Banach J. Math. Anal., 17:74, 2023. DOI:10.1007/s43037-023-00297-8
(with Baojie Jiang and Jianguo Zhang) Quasi-locality for étale groupoids. Commun. Math. Phys., 403:329-379, 2023. DOI:10.1007/s00220-023-04782-x
(with Kang Li and Federico Vigolo) Asymptotic expansion in measure and strong ergodicity. J. Topol. Anal., 15(2):361-399, 2023. DOI:10.1142/S1793525321500278
(with Hengda Bao and Xiaoman Chen) Strongly quasi-local algebras and their K-theories. J. Noncommutative Geom., 17(1):241-285, 2023. DOI:10.4171/JNCG/499
(with Kang Li and Ján Špakula) Measured asymptotic expanders and rigidity for Roe algebras. Int. Math. Res. Notices, 17:15102-15154, 2023. DOI:10.1093/imrn/rnac242
(with Ana Khukhro, Kang Li and Federico Vigolo) On the structure of asymptotic expanders. Adv. Math., 393:108073, 2021. DOI:10.1016/j.aim.2021.108073
(with Graham Niblo and Nick Wright) Coarse median algebras: The intrinsic geometry of coarse median spaces and their intervals. Sel. Math.-New Ser., 27(2):20, 2021. DOI:10.1007/s00029-021-00623-8
(with Kang Li, Ján Špakula and Piotr Nowak) Quasi-local algebras and asymptotic expanders. Group. Geom. Dyn., 15(2):655-682, 2021. DOI:10.4171/GGD/610
(with Kyle Austin) Limit operator theory for groupoids. Trans. Amer. Math. Soc., 373(4):2861– 2911, 2020. DOI:10.1090/tran/8005
(with Ján Špakula) Quasi-locality and Property A. J. Funct. Anal., 278(1):108299, 2020. DOI:10.1016/j.jfa.2019.108299
(with Kang Li and Zhijie Wang) A quasi-local characterisation of Lp-Roe algebras. J. Math. Anal. Appl., 474(2):1213–1237, 2019. DOI:10.1016/j.jmaa.2019.02.013
(with Graham Niblo and Nick Wright) A four point characterisation for coarse median spaces. Groups Geom. Dyn., 13(3):939–980, 2019. DOI:10.4171/GGD/510
Extreme cases of limit operator theory on metric spaces. Integr. Equ. Oper. Theory, 90(6):73, 2018. DOI:10.1007/s00020-018-2498-7
(with Goulnara Arzhantseva, Graham Niblo and Nick Wright) A characterization for asymptotic dimension growth. Algebr. Geom. Topol., 18(1):493–524, 2018. DOI:10.2140/agt.2018.18.493
(with Xiaoman Chen) Large scale properties for bounded automata groups. J. Funct. Anal., 269(2):438– 458, 2015. DOI:10.1016/j.jfa.2015.04.018
Preprints
Preprints
(with Qin Wang) Ghostly ideals in uniform Roe algebras, 2023. arXiv:2301.04921
(with Xulong Lu and Qin Wang) Asymptotic expansion for groupoids and Roe type algebras, 2025. arXiv:2506.16772
Invited Talks
Invited Talks
Supports of ideals in groupoid C*-algebras
Mini-Workshop "Operator Algebras and Applications" (Erlangen, Germany), 30 Jul 2025
Quasi-local algebras and asymptotic expanders
Joint Vienna-Fudan Workshop on Mathematics and Data Science (University of Vienna, Austria), 01 Jul 2025
Type decomposition of ideals in reduced groupoid C*-algebras
Monthly Global Diffeology Seminar (online), 13 Jun 2025
Quasi-local algebras and asymptotic expanders
2025年复旦校庆报告会 (Fudan University), 27 May 2025
Naive Property A
Workshop on Several Topics in Functional Analysis (Xiamen University), 11 Jan 2025
Introduction to Coarse Geometry and Geometric Group Theory
Seminar in Pure Mathematics (Shanghai University）, 12 Dec 2024
A weight-free characterisation for Yu’s Property A
Conference of Functional Analysis and Applications (Jiaxing University）, 07 Dec 2024
Type decomposition of ideals in reduced groupoid C*-algebras
Seminar on Operator Theory and Quantum Information (Shanxi University）, 16 Nov 2024
Introduction to Coarse Geometry and Geometric Group Theory
Seminar in Pure Mathematics (Zhejiang University of Science & Technology）, 05 Nov 2024
Type decomposition of ideals in reduced groupoid C*-algebras
Seminar on Operator Theory and Operator Algebra (Hangzhou Normal University）, 04 Nov 2024
Quasi-local Algebras for Groupoids
Chinese Mathematical Society 2024 Annual Conference 中国数学会2024年会 (Jiaxing University）, 02 Nov 2024
Type decomposition of ideals in reduced groupoid C*-algebras
Seminar for Young Scholars on Operator Theory and Operator Algebra (Dalian University of Technology）, 23 Oct 2024
Ghostly ideals in Groupoid C*-algebras
Wuxi Seminar on Operator and Banach spaces (Wuxi College）, 19 Oct 2024
Ghostly ideals in Groupoid C*-algebras
Seminar on Operator Algebra (Dongbei Normal University）, 18 Oct 2024
Ghostly ideals in Groupoid C*-algebras
Seminar on Operator Algebra (Qufu Normal University）, 11 Oct 2024
Ghostly ideals in Groupoid C*-algebras
Summer School on Operator Algebras and Operator Theory (Hebei Normal University）, 18 Jul 2024
Ghostly ideals in Groupoid C*-algebras
Xi'an Seminar on Non-commutative Geometry (Shaanxi Normal University）, 20 Apr 2024
Ghostly ideals in Groupoid C*-algebras
Spring Operator Algebras Program (Research Center for Operator Algebras, East China Normal University）, 15 Apr 2024
Ghostly ideals in Groupoid C*-algebras (4*45min minicourses)
Workshop "Ideal Structure of C*-algebras from Dynamics and Groups" (Erlangen, Germany), 08-12 Apr 2024
Quasi-local Algebras for Groupoids
Seminar on Non-commutative Geometry (天元数学国际交流中心）, 01 Feb 2024
Quasi-local Algebras for Groupoids
Mathematical Aspects of Quantum Theory (Tsinghua Sanya International Mathematics Forum), 16 Jan 2024
Quasi-local Algebras for Groupoids
The Academic Conference on Linear Functional Analysis (ChongQing Normal University), 03 Dec 2023
Ghostly Ideals in Uniform Roe Algebras
Seminar in Pure Mathematics (Jiaxing University), 16 Nov 2023
Quasi-local Algebras for Groupoids
The 12th National Conference on operator theory and operator algebras (Dalian University of Technology), 14 Aug 2023
Ghostly Ideals in Uniform Roe Algebras
International Conference on noncommutative geometry--In honour of Guoliang Yu’s 60th birthday (Qinhuangdao), 11 Aug 2023
Ghostly Ideals in Uniform Roe Algebras
Special Week on Operator Algebras (Research Center for Operator Algebras, East China Normal University), 31 Jul 2023
Strongly Quasi-local Algebras and Their K-theories
The Academic Conference on Operator Theory and Operator Algebra (Jiaxing University), 20 May 2023
Ghostly Ideals in Uniform Roe Algebras I & II
Seminar in Pure Mathematics (Fudan University), May 2023
Asymptotic expanders and quasi-locality
Seminar in Pure Mathematics (Qufu Normal University), 10 Apr 2023
Quasi-local Algebras for Groupoids
Special Week on Operator Algebras (Research Center for Operator Algebras, East China Normal University), 2 Aug 2022
Introduction to Geometric Group Theory and Coarse Geometry
Seminar in Pure Mathematics (Jiaxing University), 10 Mar 2022
A strongly quasi-local version of the coarse Baum-Connes conjecture
Autumn Operator Algebras Program (Research Center for Operator Algebras, East China Normal University), 20 Nov 2021
Introduction to Geometric Group Theory and Coarse Geometry
Summer School in Operator Algebras (Hebei Normal University), 17 Aug 2021
Introduction to Geometric Group Theory and Coarse Geometry
Summer School in Functional Analysis and Noncommutative Geometry (Fudan University), 13 Aug 2021
Asymptotic expanders and quasi-locality
Seminar in Pure Mathematics (Jilin University), 17 Jun 2021
Quasi-local Algebras and their K-theories
Special Week on Operator Algebras (Research Center for Operator Algebras, East China Normal University), 11 Jun 2021
Asymptotic expanders and quasi-locality
午间学术报告 (Fudan University), 21 May 2021
Rigidity for Roe algebras and Measured Asymptotic Expanders
Jing-Jing-Ji Conference on Functional Analysis (Hebei Normal University), 2 May 2021
Rigidity for Roe algebras and Measured Asymptotic Expanders
Seminar in Pure Mathematics (Research Center for Operator Algebras, East China Normal University), 2 Mar 2021
Asymptotic expanders and quasi-locality
Seminar in Pure Mathematics (Shantou University), 9 Dec 2020
Rigidity of Roe algebras and Measured Asymptotic Expanders
Workshop on Noncommutative Geometry and Quantization (Sichuan University), 29 Nov 2020
Rigidity of Roe algebras and Measured Asymptotic Expanders
Seminar on Noncommutative Geometry (Fudan University), 04 Nov 2020
Asymptotic expanders and quasi-locality
Special Week on Operator Algebras (Research Center for Operator Algebras, East China Normal University), 13 Aug 2020
Asymptotic expansion in measure (Part I & II)
Seminar on Operator Algebras (Research Centre of Operator Algebras, East China Normal University), 30 Jun & 14 Jul 2020
Asymptotic expansion in measure (Part I, II & III)
Seminar on Noncommutative Geometry (Fudan University), 15 May, 22 May & 12 Jun 2020
A motivation to higher index theory: positive scalar curvature on tori
Pure Postgraduate Seminar (University of Southampton), 11 Mar 2020
Quasi-locality and asymptotic expanders
Seminar on Operator Algebras (Research Centre of Operator Algebras, East China Normal University), 17 Dec 2019
Quasi-locality and asymptotic expanders
Seminar on Noncommutative Geometry (University of Sheffield), 21 Nov 2019
Quasi-locality and asymptotic expanders
Pure Mathematics Colloquium (University of Southampton), 25 Oct 2019
A quasi-local characterisation of Roe algebras
Seminar in the Simons semester on Geometric and Analytic Group Theory (Institute of Mathematics, Polish Academy of Sciences), 08 May 2019
A quasi-local characterisation of Roe algebras
Seminar on Noncommutative Geometry (Fudan University), 27 Dec 2018
A quasi-local characterisation of Roe algebras
Seminar on Operator Algebras (Research Centre of Operator Algebras, East China Normal University), 25 Dec 2018
Coarse median spaces and groups
Pure Mathematics Colloquium (University of Southampton), 01 Jun 2018
Coarse median spaces and groups
Seminar on Operator Algebras (Research Centre of Operator Algebras, East China Normal University), 02 Jan 2018
Coarse median spaces and groups
Australia-China conference in Noncommutative Geometry and Related Areas (University of Adelaide), 21 Dec 2017
Coarse median spaces and groups
Pure Mathematics Seminar (University of Melbourne), 15 Dec 2017
Coarse median spaces and groups
Analysis seminar in Glasgow (University of Glasglow), 21 Nov 2017
Canonical metrics on coarse median spaces
Seminar on Noncommutative Geometry (Fudan University), 08 Sep 2017
Asymptotic dimension and finite decomposition complexity
Seminar on C*-algebra and operator algebra (University of Müster), 10 Jul 2017
An introduction to CAT(0) cube complexes
Pure Postgraduate Seminar (University of Southampton), 17 May 2017
A new proof of finite asymptotic dimension for CAT(0) cube complexes
Satellite workshop "Asymptotic decomposition methods in geometry, dynamics and operator algebras" of the Isaac Newton Institute program "Non-Positive Curvature Group Actions and Cohomology" (University of Southampton), 28 Mar 2017
An introduction to the first Grigorchuk group
Pure Postgraduate Seminar (University of Southampton), 08 March 2017
Asymptotic growth function for coarse median groups
Seminar on Noncommutative Geometry (Fudan University), 08 Sep 2016
Asymptotic growth function for coarse median groups
Conference of UK Young researchers in Mathematics (University of St. Andrews), 01 Aug 2016
Introduction to coarse geometry and amenability
Pure Postgraduate Seminar (University of Southampton), 25 May 2016
(Straight) finite decomposition complexity for automata groups and box spaces
Research Seminar on Geometry and Analysis on Groups (University of Vienna), 13 October 2015
Finite decomposition complexity for residually finite groups and their box spaces
Seminar on Operator Algebras (Research Centre of Operator Algebras, East China Normal University), 24 Mar 2015
Finite decomposition complexity for residually finite groups and their box spaces
Seminar on Operator Algebras (Université Paris Diderot), 09 Oct 2014
Research Visits
Research Visits
Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany (25 Jun - 04 Aug, 2025)
Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany (09 Aug - 04 Sep, 2024)
Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany (01 Apr - 13 Apr, 2024)
ChongQing Normal University, China (30 Nov - 05 Dec, 2023)
Qufu Normal University, China (08 Apr - 10 Apr, 2023)
Fudan University, China (07 Apr - 30 Apr, 2020)
Research Center for Operator Algebras, East China Normal University, China (12 Dec, 2019 - 07 Jan, 2020)
Fudan University, China (12 Dec, 2019 - 07 Jan, 2020)
Univeristy of Sheffield, UK (21 Nov - 22 Nov, 2019)
Institute of Mathematics, Polish Academy of Sciences, Poland (12 Sep - 16 Sep, 2019)
Institute of Mathematics, Polish Academy of Sciences, Poland (01 May - 11 May, 2019)
Weizmann Institute of Science, Isreal (08 Apr - 26 Apr, 2019)
University of Birmingham, Alabama, US (13 Mar - 17 Mar, 2019)
Research Center for Operator Algebras, East China Normal University, China (21 Dec, 2018 - 20 Jan, 2019)
Fudan University, China (05 Apr - 12 May, 2018)
Fudan University, China (25 Dec, 2017 - 07 Jan, 2018)
University of Adelaide, Australia (17 Dec - 23 Dec, 2017)
University of Melbourne, Australia (10 Dec - 16 Dec, 2017)
University of Glasgow, Scotland, UK (19 Nov - 25 Nov, 2017)
Fudan University, China (20 Aug - 11 Sep, 2017)
University of Müster, Germany (09 Jul - 26 Jul, 2017)
Fudan University, China (25 Dec, 2016 - 11 Jan, 2017)
University of St. Andrews, Scotland, UK (01 Aug - 05 Aug, 2016)
University of Regensburg, Germany (24 Jul -29 Jul, 2016)
Erwin Schrödinger International Institute (01 Feb - 21 Feb, 2016)
University of Müster, Germany (24 Jan - 30 Jan, 2016)
Research Center for Operator Algebras, East China Normal University, China (24 Mar - 28 Mar, 2015)
Université Paris Diderot, France (18 Sep - 22 Sep, 2014)
Texas A&M University, US (24 Apr - 03 May, 2014)
Kyoto University, Japan (16 Dec - 20 Dec, 2013)
Teaching
Teaching
2011, Linear Algebra, Teaching Assistant, Fudan University.
2016, Supervise Undergraduate Project (MATH6144):"Grigorchuk group and related topics", Univeristy of Southampaton.
2018, Geometry and Topology (MATH2049) workshop helper, University of Southampton.
2018, Analysis (MATH2039) workshop helper, University of Southampton.
2018, Group Theory (MATH2003) teaching assistant, University of Southampton.
2019, Analysis (MATH2039) workshop helper, University of Southampton.
2019, Group Theory (MATH2003) teaching assistant, University of Southampton.
2020, Lecture series on Non-commutative Geometry—Introduction to coarse geometry and geometric group theory, Fudan University.
2020, Classical Mathematical Thought I (2020 级本科英才班) teaching assistant, Fudan University.
After joining Fudan University, I have taught:
Undergraduate: Mathematical Analysis, Functional Analysis, Basis of Modern Analysis II (on amenability of groups), Real Analysis, Geometric Group Theory.
Graduate: K-theory for operator algebras, Operator theory and operator algebras, Geometric Group Theory.
Last edited: 29/07/2025
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