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 impact:
1. At this phase of my career, I have 100 publications with 27 are published in A* journals and 55 papers in A journals (based on journal ranking via the Australian Mathematical Society FoR 0101).
I have 856 citations by 412 authors listed in MathSciNet, and Google Scholar: 1282, h-index 20, i10-index 42; (as of Apr 2024).
2. Among all my publications, some of the papers are published in
- Memoirs of the American Mathematical Society,
- Journal de Mathematiques Pures et Appliquees,
- Mathematische Annalen,
- Advances in Mathematics,
- Annales de l'Institut Fourier,
- Indiana University Mathematics Journal,
- Mathematische Zeitschrift,
- Transaction of the American Mathematical Society.
These journals have long tradition and high reputation in the world.
Also, some other papers are published in
- Analysis and PDE,
- Applied and Computational Harmonic Analysis,
- Journal d'Analyse Math\'ematique,
- Journal of Functional analysis,
- Journal of Differential Equations, and
- Revista Matem\'atica Iberoamericana.
These are top international journals in the field of analysis.
3. One of my paper published in Journal of Functional Analysis is one of the ``most cited articles since 2011'' of this journal.
It is cited 60 times up to 2021 as listed in MathSciNet.
4. In mathematics, invitations to speak at conferences are one of the main indicators of research quality and impact. Since 2009, I have been invited to give a total of over 60 presentations in conferences, workshops and seminars in the USA, Europe and Asian countries, which covered various topics in analysis and PDE, demonstrating the impact of my research in the field. Among these, I would like to highlight that I was invited to give a talk in
(1) the International Mathematics Congress (ICM), Satellite Conference on Harmonic Analysis, August 2018, Brazil.
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union. The Fields Medals, the Nevanlinna Prize, the Gauss Prize, and the Chern Medal are awarded during the congress’s opening ceremony. Satellite Conferences are the most important scientific activities surrounding the celebration of every ICM.
(2) “Interpolation in Spaces of Analytic Functions”, CIRM, Marseille (France), 18–22 November 2019;
(3) the 7th East Asian Conference in Harmonic Analysis & Applications, Aug, 2019, South Korea;
(4) IWOTA (International Workshop of Operator Theory and Application), Jul, 2016, Washington University at St. Louis;
(5) The American Mathematical Society Western Spring Sectional Meeting at University of New Mexico, Albuquerque, NM, US, April 4–6, 2014;
(6) The Calderon–Zygmund analysis seminar, University of Chicago, Dec 2018;
(7) The Analysis Seminar in Brown University, July 2016,
(8) The Analysis Seminar in Washington University at St. Louis, July 2016.
5. Two of my papers have been cited by Professor Elias M. Stein (Wolf prize 1999, Steele Prize 1984 and 2002, Schock Proze 1993, one of the most influential mathematicians in the past 40 year) in his recent paper (Memo. Amer. Math. Soc. 2018,\ \ http://arxiv.org/abs/1511.05702).
6. One of my papers were cited by Prof. Sergei Treil (Salem prize 1993) and Alexander Volberg (Salem prize 1988) in their recent two papers for reviewing the literature.
Papers accepted for publication:
1. Y. Han, M.Y. Lee, J. Li and B.D. Wick, Maximal function, Littlewood-Paley theory, Riesz transform and atomic decomposition in the multi.parameter flag setting, accepted in Apr 2019 by Memoirs of the American Mathematical Society.
2. X. Duong, M. Lacey, J. Li, B.D. Wick and Q.Y. Wu, Commutators of Cauchy Type Integrals For Domains in C^n with Minimal Smoothness, accepted on 23 Jul 2019 by Indiana University Mathematics Journal.
3. D.-C. Chang, X. Duong, J. Li, W. Wang and Q.Y. Wu, An explicit formula of Cauchy--Szeg\"o kernel for quaternionic Siegel upper half space and applications, accepted by Indiana University Mathematics Journal on 15th Dec 2019.
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, Usman Ghani (Provisional Offer from MQ 2020, starting in 2021).
2. Associate Supervisor, George Nader (MQ, 2020--2023, Supervisor: Xuan Duong).
3. Associate Supervisor, Zhijie Fan (Sun Yat-sen Uni., Supervisor: Lixin Yan, visiting MQ in 2020).
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 supervisor (DP170101060) for:
1. Lixin Yan (Research Fellow in 2019 for 6 months),
2. Trang Nguyen (Research Assistant in 2020 for 9 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/
8. ARC DP Assessor (2016, 2017, 2018, 2020).
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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DP22: Harmonic analysis of Laplacians in curved spaces
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26/04/22 → 25/04/25
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Harmonic analysis and dispersive partial differential equations
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Harmonic analysis, complex analysis and differential operators
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Multiparameter Harmonic Analysis: Weighted Estimates for Singular Integrals
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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 Access21 Citations (Scopus) -
Commutators of multiparameter flag singular integrals and applications
Duong, X. T., Li, J., Ou, Y., Pipher, J. & Wick, B. D., 1 Jan 2019, In: Analysis and PDE. 12, 5, p. 1325-1355 31 p.Research output: Contribution to journal › Article › peer-review
14 Citations (Scopus) -
Haar bases on quasi-metric measure spaces, and dyadic structure theorems for function spaces on product spaces of homogeneous type
Kairema, A., Li, J., Pereyra, M. C. & Ward, L. A., 1 Oct 2016, In: Journal of Functional Analysis. 271, 7, p. 1793-1843 51 p.Research output: Contribution to journal › Article › peer-review
15 Citations (Scopus) -
Hardy space theory on spaces of homogeneous type via orthonormal wavelet bases
Han, Y., Li, J. & Ward, L. A., Jul 2018, In: Applied and Computational Harmonic Analysis. 45, 1, p. 120-169 50 p.Research output: Contribution to journal › Article › peer-review
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Endpoint weak Schatten class estimates and trace formula for commutators of Riesz transforms with multipliers on Heisenberg groups
Fan, Z., Li, J., McDonald, E., Sukochev, F. & Zanin, D., 1 Jan 2024, In: Journal of Functional Analysis. 286, 1, 72 p., 110188.Research output: Contribution to journal › Article › peer-review
2 Citations (Scopus)