Projects per year
Personal profile
Biography
Educational background:
B.A. 20002004 (Sun YatSen University), Ph.D. 20042009 (Sun YatSen University, Macquarie University, Cotutelle).
Faculty position:
Jan 2017Present, Macquarie University, Senior Lecturer
Jan 2014Dec 2016, Macquarie University, Lecturer
Jun 2012Jan 2014, Sun YatSen University, Associate Professor
Aug 2009May 2012, Sun YatSen University, Lecturer
Research Grants:
1. The ARC Discovery Project, Grant No. DP170101060, 20172019, Chief Investigator (with A/Prof. Zihua Guo (CI), Prof. Carlos Kenig (PI) , Prof. Kenji Nakanishi (PI).
2. The ARC Discovery Project, Grant No. DP160100153, 20162018, Chief Investigator (with Prof. Xuan Duong (CI), A/Prof. Lesley Ward (CI) , Prof. Michael Lacey (PI), Prof. Jill Pipher (PI)).
3. Macquarie University Research Seeding Grant, 20182019.
4. Macquarie University New Staff Grants Scheme (MQNS), 2016.
5. The NNSF of China, Grant No. 11001275, 20112013, Sole investigator.
6. China Postdoctoral Science Foundation funded project, Grant No. 201104383, 20112013, Sole investigator.
7. The Fundamental Research Funds for the Central Universities, Grant No. 11lgpy56, 20112013, Sole investigator.
Research impact:
1. At this phase of my career, I have 354 citations by 213 authors listed in MathSciNet (as of Nov 2020). Google Scholar: 644, hindex 13, i10index 22;
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 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 54 times up to 2020 as listed in MathSciNet.
4. Two of my papers have been cited by Professor E. 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).
5. I have been invited to give a talk in the Satellite Conference in Harmonic Analysis, in ICM 2018, Brazil.
Papers accepted for publication:
1. Y. Han, M.Y. Lee, J. Li and B.D. Wick, Maximal function, LittlewoodPaley 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 CauchySzeg\"o kernel for quaternionic Siegel upper half space and applications, accepted by Indiana University Mathematics Journal on 15th Dec 2019.
Service:
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/abouttheuniversity/facultiesanddepartments/facultyofscienceandengineering/departmentsandcentres/departmentofmathematicsandstatistics/newsandevents/events/events/workshopinharmonicanalysisandpde10february2020atmacquarieuniversity2
2. Organiser of the Harmonic Analysis Session of 64th Annual Meeting of the Australian Mathematical Society, 811 Dec, 2020, at University of New England.
https://staging.austms.org.au/meetings/annualconferences/2020austmsmeeting/#specialsessions
3. Coorganiser of the international workshop ``Harmonic Analysis and Dispersive PDEs: Problems and Progress'' 37 February 2020 in MATRIX, Melbourne.
https://www.matrixinst.org.au/events/harmonicanalysisanddispersivepdesproblemsandprogress/
4. Main organiser of the international workshop ``Harmonic analysis and PDE'' in Macquarie University in 1721, July 2017.
https://www.mq.edu.au/about/abouttheuniversity/facultiesanddepartments/facultyofscienceandengineering/departmentsandcentres/departmentofmathematicsandstatistics/newsandevents/2017harmonicanalysisandpdeworkshop
5. Member of the local organising committee, Organiser of the Harmonic Analysis Session of 61st Annual Meeting of the Australian Mathematical Society, 1215 Dec, 2017, at Macquarie University.
https://www.mq.edu.au/about/abouttheuniversity/facultiesanddepartments/facultyofscienceandengineering/departmentsandcentres/departmentofmathematicsandstatistics/newsandevents/austmsannualmeeting2017
6. Coorganizer of the joint seminar “Analysis and PDE meeting”:
This is a joint seminar begins from 2014, first named ``WOMASYGeometric 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/index201410.html
(2). 17th February 2015 at Macquarie University. http://www.maths.usyd.edu.au/u/PDESeminar/womasy/
From July 2015, the joint seminar ``WOMASYGeometric and Harmonic Analysis meets PDE'' has changed as ``Analysis and PDE meeting''. I continue to serve as a Coorganiser 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/analysisandpde/2015/07/
(4). 10 Feb 2016 at ANU. http://www.maths.usyd.edu.au/u/PDESeminar/analysisandpde/2016/02/
(5). 19th Jul 2016 at UNSW. http://www.maths.usyd.edu.au/u/PDESeminar/analysisandpde/2016/07/
(6). 25th May 2018 at UoW. http://www.maths.usyd.edu.au/u/PDESeminar/analysisandpde/2018/05/
(7). 1516 April 2019 at the University of Newcastle.
http://www.maths.usyd.edu.au/u/PDESeminar/analysisandpde/2019/04/
(8). 20 February 2020 at the University of Sydney
http://www.maths.usyd.edu.au/u/PDESeminar/analysisandpde/2020/02/
7. ARC DP Assessor (2016, 2017, 2018, 2020).
8. Editor of AIMS Mathematics, ISSN (Online): 24736988, (indexed in SCIE (Science Citation Index Expanded), 2019 lmpact Factor: 0.882). https://www.aimspress.com/news/203.html
Service to department:
1. Colloquium Convenor, Department of Mathematics (20162017)
http://www.mq.edu.au/about/abouttheuniversity/facultiesanddepartments/facultyofscienceandengineering/departmentsandcentres/departmentofmathematics/newsandevents/Colloquium
2. Member of the outreach committee (2018).
3. 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 multiparameter setting;
2. Singular integrals, multilinear singular integrals with nonsmooth 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 nondoubling measures.
Education/Academic qualification
Pure Math, PhD (Cotutelle), Macquarie University
1 Aug 2008 → 30 Nov 2009
Pure Math, PhD, Zhongshan University
1 Sep 2004 → 30 Jun 2009
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 3 Similar Profiles
Network
Projects

Harmonic analysis, complex analysis and differential operators
Duong, X., Li, J., Ward, L., Lacey, M., Pipher, J. & Wick, B.
1/01/20 → 31/12/22
Project: Research

Harmonic analysis and dispersive partial differential equations
Li, J., Guo, Z., Kenig, C. & Nakanishi, K.
31/01/17 → …
Project: Research

Multiparameter Harmonic Analysis: Weighted Estimates for Singular Integrals
Duong, X., Ward, L., Li, J., Lacey, M., Pipher, J. & MQRES, M.
16/02/16 → 30/06/20
Project: Research
Research Outputs

Lower bound of Riesz transform kernels and commutator theorems on stratified nilpotent Lie groups
Duong, X. T., Li, HQ., Li, J. & Wick, B. D., Apr 2019, In : Journal des Mathematiques Pures et Appliquees. 124, p. 273299 27 p.Research output: Contribution to journal › Article
4 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. 13251355 31 p.Research output: Contribution to journal › Article
3 Citations (Scopus) 
Haar bases on quasimetric 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. 17931843 51 p.Research output: Contribution to journal › Article
3 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. 120169 50 p.Research output: Contribution to journal › Article
13 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. 133 33 p., 107001.Research output: Contribution to journal › Article