Projects per year
Personal profile
Biography
Educational background:
B.A. 2000--2004 (Sun Yat-Sen University), Ph.D. 2004--2009 (Sun Yat-Sen University, Macquarie University, Cotutelle).
Faculty position:
Jan 2023---Present, Macquarie University, Associate Professor
Jan 2017---Dec 2022, Macquarie University, Senior Lecturer
Jan 2014--Dec 2016, Macquarie University, Lecturer
Jun 2012--Jan 2014, Sun Yat-Sen University, Associate Professor
Aug 2009--May 2012, Sun Yat-Sen University, Assistant Professor
Research Grants:
1. The ARC Discovery Project, Grant No. DP220100285, 2022--2024, Project Leader (with The Bui (CI), Xuan Duong (CI), Michael Cowling (CI), Alessandro Ottazzi (CI), Brett Wick (PI)
2. The ARC Discovery Project, Grant No. DP170101060, 2017--2019 (extended to 2021), Chief Investigator, with Zihua Guo (Project leader), Carlos Kenig (PI), Kenji Nakanishi (PI).
3. The ARC Discovery Project, Grant No. DP160100153, 2016--2018 (extended to 2020), Chief Investigator (with Prof. Xuan Duong (Project Leader), A/Prof. Lesley Ward (CI) , Prof. Michael Lacey (PI), Prof. Jill Pipher (PI)).
4. Macquarie University Research Seeding Grant, 2018--2019.
5. Macquarie University New Staff Grants Scheme (MQNS), 2016.
6. The NNSF of China, Grant No. 11001275, 2011--2013, Sole investigator.
7. China Postdoctoral Science Foundation funded project, Grant No. 201104383, 2011--2013, Sole investigator.
8. The Fundamental Research Funds for the Central Universities, Grant No. 11lgpy56, 2011--2013, Sole investigator.
Research mentorship and supervision
I have successfully embedded my research into mentorship and supervision to maintain the group of harmonic analysis at Macquarie highly productive and in the frontier of research over the world. My mentorship and supervision led to 12 papers in A* and A journals in the past 6 years, which is beneficial to attract excellent PhD candidates and young researchers to join Macquarie in the future.
Supervision of PhD students:
1. Principal Supervisor,
Xuejing Huo (MRes+PhD 2022-2028)
Xueting Han (Cotutelle PhD 2023-2025)
Chongwei Liang (Cotutelle PhD 2023-2025)
Usman Ghani (Provisional Offer from MQ 2020, starting in 2021).
2. Associate Supervisor, George Nader (MQ, 2020--2023, Supervisor: Xuan Duong).
3. Associate Supervisor for CSC students,
Zhijie Fan (Sun Yat-sen Uni., Supervisor: Lixin Yan, visiting MQ in 2020).
Zhenbing Gong (Beijing Uni of Sci and Tech, Supervisor: Yanping Chen, visiting MQ in 2022).
Qingdong Guo (Xiamen Uni, Supervisor: Dongyong Yang, visiting MQ in 2023).
Zhiyong Wang (Beijing Uni of Sci and Tech, Supervisor: Yu Liu, visiting MQ in 2025).
Xiuhong Long (South China Normal Uni, Supervisor: Qingquan Deng, visiting MQ in 2025).
Completions of PhD students:
1. Associate Supervisor, Hong Chuong Doan (MQ, 2017--2020, Supervisor: Xuan Duong).
2. Associate Supervisor, Trang Nguyen (UniSA, 2016--2020, Supervisor: Lesley Ward).
Research memtor (DP220100285) for:
Liangchuan Wu (Research Fellow in 2023--2024 for 12 months)
Research memtor (DP170101060) for:
1. Lixin Yan (Research Fellow in 2019 for 6 months),
2. Trang Nguyen (Research Assistant in 2020 for 9 months).
Research memtor (DP160100153) for:
The Anh Bui (Research Assistant in 2017 for 12 months)
Research Mentor (supported by CSC visiting scholar) for:
1. Dongyong Yang,
2. Qingyan Wu,
3. Ruming Gong,
4. Guilian Gao.
Service:
Editorial service:
1. Associate Editor for Journal of the Australian Mathematical Society (since 2021),
2. Associate Editor for Bulletin of the Australian Mathematical Society (since 2020),
3. Associate Editor of AIMS Mathematics, ISSN (Online): 2473-6988, (indexed in SCIE (Science Citation Index Expanded), 2019 lmpact Factor: 0.882). https://www.aimspress.com/news/203.html
Service to discipline:
1. Main organiser of the international workshop ``Harmonic Analysis and PDE'' on 10 February 2020 at Macquarie University.
https://www.mq.edu.au/about/about-the-university/faculties-and-departments/faculty-of-science-and-engineering/departments-and-centres/department-of-mathematics-and-statistics/news-and-events/events/events/workshop-in-harmonic-analysis-and-pde-10-february-2020-at-macquarie-university2
2. Organiser of the Harmonic Analysis Session of 64th Annual Meeting of the Australian Mathematical Society, 8--11 Dec, 2020, at University of New England.
https://staging.austms.org.au/meetings/annual-conferences/2020-austms-meeting/#special-sessions
3. Co-organiser of the international workshop ``Harmonic Analysis and Dispersive PDEs: Problems and Progress'' 3--7 February 2020 in MATRIX, Melbourne.
https://www.matrix-inst.org.au/events/harmonic-analysis-and-dispersive-pdes-problems-and-progress/
4. Co-organiser of the Harmonic Analysis Session of 62nd Annual Meeting of the Australian Mathemat- ical Society, 4–7 Dec, 2018, at the University of Adelaide.
5. Main organiser of the international workshop ``Harmonic analysis and PDE'' in Macquarie University in 17--21, July 2017.
https://www.mq.edu.au/about/about-the-university/faculties-and-departments/faculty-of-science-and-engineering/departments-and-centres/department-of-mathematics-and-statistics/news-and-events/2017-harmonic-analysis-and-pde-workshop
6. Member of the local organising committee, Organiser of the Harmonic Analysis Session of 61st Annual Meeting of the Australian Mathematical Society, 12--15 Dec, 2017, at Macquarie University.
https://www.mq.edu.au/about/about-the-university/faculties-and-departments/faculty-of-science-and-engineering/departments-and-centres/department-of-mathematics-and-statistics/news-and-events/austms-annual-meeting-2017
7. Co-organizer of the joint seminar “Analysis and PDE meeting”:
This is a joint seminar begins from 2014, first named ``WOMASY--Geometric and Harmonic Analysis meets PDE'', among the geometric analysis group at the University of Wollongong, the harmonic analysis group at Macquarie UNIVERSITY AND the nonlinear analysis group at the University of Sydney:
(1). 1st October 2014 at University of Sydney. http://www.maths.usyd.edu.au/u/PDESeminar/womasy/index-2014-10.html
(2). 17th February 2015 at Macquarie University. http://www.maths.usyd.edu.au/u/PDESeminar/womasy/
From July 2015, the joint seminar ``WOMASY--Geometric and Harmonic Analysis meets PDE'' has changed as ``Analysis and PDE meeting''. I continue to serve as a Co-organiser of this joint seminar ``Analysis and PDE meeting'': joint with University of Wollongong, MAcquarie University, The University of Sydney, UNSW, ANU, University of New Castle.
(3). Monday 20 July 2015 at University of Wollongong. http://www.maths.usyd.edu.au/u/PDESeminar/analysis-and-pde/2015/07/
(4). 10 Feb 2016 at ANU. http://www.maths.usyd.edu.au/u/PDESeminar/analysis-and-pde/2016/02/
(5). 19th Jul 2016 at UNSW. http://www.maths.usyd.edu.au/u/PDESeminar/analysis-and-pde/2016/07/
(6). 25th May 2018 at UoW. http://www.maths.usyd.edu.au/u/PDESeminar/analysis-and-pde/2018/05/
(7). 15--16 April 2019 at the University of Newcastle.
http://www.maths.usyd.edu.au/u/PDESeminar/analysis-and-pde/2019/04/
(8). 20 February 2020 at the University of Sydney
http://www.maths.usyd.edu.au/u/PDESeminar/analysis-and-pde/2020/02/
Service to department:
1. Leader of the team of Sesisonal Teaching Review (with 6 team menbers) from Nov 2020 to Jan 2022;
2. Member of the Role Description Group (Oct-Nov 2020);
3. Colloquium Convenor, Department of Mathematics (May 2016-- Dec 2017);
http://www.mq.edu.au/about/about-the-university/faculties-and-departments/faculty-of-science-and-engineering/departments-and-centres/department-of-mathematics/news-and-events/Colloquium
4. Member of the outreach committee (2018);
5. Member of the research committee (2020).
Research interests
Areas of specialization and related research interests:
The area of my specialization is Harmonic Analysis, especially the following topics:
1. Singular integrals and function classes in the multi-parameter setting;
2. Singular integrals, multilinear singular integrals with non-smooth kernels, and function classes associated with operators;
3. Dyadic structures, weighted norm inequalities, and related problems;
4. Singular integrals and function classes on domains with non-doubling measures.
Education/Academic qualification
Pure Math, PhD (Cotutelle), Multilinear harmonic analysis, Macquarie University
1 Aug 2008 → 30 Nov 2009
Award Date: 30 Nov 2009
Pure Math, PhD, Multiparameter harmonic analysis, Sun Yat-sen University
1 Sept 2004 → 30 Jun 2009
Award Date: 30 Jun 2009
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Collaborations and top research areas from the last five years
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Harmonic analysis and dispersive partial differential equations
Li, J. (Primary Chief Investigator), Guo, Z. (Chief Investigator), Kenig, C. (Chief Investigator) & Nakanishi, K. (Chief Investigator)
31/01/17 → …
Project: Research
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DP22: Harmonic analysis of Laplacians in curved spaces
Li, J. (Primary Chief Investigator), Bui, T. (Chief Investigator), Duong, X. (Chief Investigator), Cowling, M. (Chief Investigator), Ottazzi, A. (Chief Investigator) & Wick, B. (Partner Investigator)
26/04/22 → 25/04/25
Project: Research
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Harmonic analysis, complex analysis and differential operators
Duong, X. (Primary Chief Investigator), Li, J. (Chief Investigator), Ward, L. (Chief Investigator), Lacey, M. (Partner Investigator), Pipher, J. (Partner Investigator) & Wick, B. (Partner Investigator)
1/01/20 → 31/12/22
Project: Research
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ARC DP: Harmonic analysis: singular integrals and applications to differential equations modelled on heat diffusion phenomenon and on quantum mechanics
Li, J. (Primary Chief Investigator) & Duong, X. (Associate Investigator)
1/01/18 → 31/12/19
Project: Research
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Multiparameter Harmonic Analysis: Weighted Estimates for Singular Integrals
Duong, X. (Primary Chief Investigator), Ward, L. (Chief Investigator), Li, J. (Chief Investigator), Lacey, M. (Chief Investigator), Pipher, J. (Chief Investigator) & MQRES, M. (Student)
16/02/16 → 30/06/20
Project: Research
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Maximal Functions, Littlewood-Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-parameter Flag Setting
Han, Y., Lee, M.-Y., Li, J. & Wick, B. D., Sept 2022, In: Memoirs of the American Mathematical Society. 279, 1373, p. 1-102 102 p.Research output: Contribution to journal › Article › peer-review
6 Citations (Scopus) -
Schatten properties of Calderón–Zygmund singular integral commutator on stratified Lie groups
Li, J., Xiong, X. & Yang, F., Aug 2024, In: Journal de Mathématiques Pures et Appliquées. 188, p. 73-113 41 p.Research output: Contribution to journal › Article › peer-review
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Lower bound of Riesz transform kernels and commutator theorems on stratified nilpotent Lie groups
Duong, X. T., Li, H.-Q., Li, J. & Wick, B. D., Apr 2019, In: Journal de Mathématiques Pures et Appliquées. 124, p. 273-299 27 p.Research output: Contribution to journal › Article › peer-review
Open Access23 Citations (Scopus) -
Sharp endpoint Lp estimates for Schrödinger groups
Chen, P., Duong, X. T., Li, J. & Yan, L., Oct 2020, In: Mathematische Annalen. 378, 1-2, p. 667-702 36 p.Research output: Contribution to journal › Article › peer-review
20 Citations (Scopus) -
A boundedness criterion for singular integral operators of convolution type on the Fock space
Cao, G., Li, J., Shen, M., Wick, B. D. & Yan, L., 25 Mar 2020, In: Advances in Mathematics. 363, p. 1-33 33 p., 107001.Research output: Contribution to journal › Article › peer-review
Open Access21 Citations (Scopus)