Guowu MENG
孟国武
PhD in Mathematics
Brown University, 1993

Professor
Department of Mathematics



(852) 2358 7451
mameng@ust.hk
Room 3484
Personal Web

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Google Scholar
9gUuuVgAAAAJ

ORCID
0000-0003-2582-8114

Scopus ID
56248846600




Research Interest Publications Projects Teaching Assignment RPG Supervision Space used




Research Interest

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Physics-inspired mathematics



Publications

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All Years 39 2022 0 2021 1 2020 0 2019 1 2018 0 2017 2 2016 35

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Expand All Collapse All


2021 1

Magnetized Kepler manifolds and their quantization
Journal of Geometry and Physics, v. 159, January 2021, article number 103891
Meng, Guowu Article

2019 1

Kepler problem and Jordan algebras
Trends in Mathematics, v. 2019, 2019, p. 181-187
Meng, Guowu Conference paper

2017 2

The Classical Dynamic Symmetry for the Sp(1)-kepler Problems
Journal of Mathematical Physics, v.58, (9), September 2017, article number 091702
Bouarroudj, Sofiane; Meng, Guo Wu Article
The Classical Dynamic Symmetry for the U(1)-Kepler Problems
Journal of Geometry and Physics, v. 124, January 2018, p. 1-15
Bouarroudj, Sofiane; Meng, Guo Wu Article

2016 2

Generalized Kepler Problems and Euclidean Jordan Algebras
Proceedings of the Seventeenth International Conference on Geometry, Integrability and Quantization, 2016, p. 72-94
Meng, Guowu Conference paper
Tulczyjew Mechanics for Particles in Gauge Fields
Banach Center publications, v. 110, 2016, p. 193-199
Meng, Guowu Conference paper

2015 4

On the trajectories of O(1)-Kepler problems
Journal of Mathematical Physics, v. 56, (5), 2015, article number 052901
Meng, Guowu Article
On the trajectories of Sp(1)-Kepler problems
Journal of Geometry and Physics, v. 96, July 2015, p. 123-132
Meng, Guowu Article
Tulczyjew's approach for particles in gauge fields
Journal of Physics A: Mathematical and Theoretical, v. 48, (14), April 2015, article number 145201
Meng, Guowu Article
On the Trajectories of U(1)-Kepler Problems
Proceedings of the Sixteenth International Conference on Geometry, Integrability and Quantization, 2015, p. 219-230
Meng, Guowu Conference paper

2014 1

The Universal Kepler problem
Journal of Geometry and Symmetry in Physics, v. 36, 2014, p. 47-57
Meng, Guo Wu Article

2013 4

Generalized Kepler problems. I. without magnetic charges
Journal of Mathematical Physics, v. 54, (1), January 2013, article number 012109
Meng, Guowu Article
On the orbits of magnetized Kepler problems in dimension 2k + 1
Journal of Geometry and Physics, v. 73, November 2013, p. 260-269
Bai, Z.; Meng, G.; Wang, E. Article
The classical magnetized kepler problems in higher odd dimensions
Journal of Geometry and Symmetry in Physics, v. 32, January 2013, p. 15-23
Meng, G. Article
The Poisson realization of so (2,2k, + 2) on magnetic leaves and generalized MICZ-Kepler problems
Journal of Mathematical Physics, v. 54, (5), May 2013, article number 052902
Meng, Guowu Article

2012 1

Lorentz group and oriented McIntosh-Cisneros-Zwanziger-Kepler orbits
Journal of mathematical physics, v. 53, (5), May 2012, article number 052901
Meng, Guowu Article

2011 2

Euclidean Jordan algebras, hidden actions, and J-Kepler problems
Journal of mathematical physics, v. 52, (11), 2011, article number 112104
Meng, G. Article
Generalized MICZ-Kepler problems and unitary highest weight modules
Journal of mathematical physics, v. 52, (4), April 2011, article number 042106
Meng, Guowu; Zhang, Ruibin Article

2010 2

Generalized MICZ-Kepler problems and unitary highest weight modules, II
Journal OF The London Mathematical society-second Series, v. 81, (Part 3), 2010, JUN, p. 663-678
Meng, Guowu Article
The U(1)-Kepler Problems
Journal of Mathematical Physics, v. 51, (12), 2010, article number 122105
Meng, G. Article

2009 2

The Sp(1)-Kepler problems
Journal of Mathematical Physics, v. 50, (7), Jul 2009, article number 072107
Meng, Guowu Article
Generalized Hydrogen Atoms and Symmetric Domains of the Tube Type
Symposium on Representation Theory 2009, Okinawa, Japan, November 17-20 2009
Meng, G. Conference paper

2008 3

A generalization of the Kepler problem
Physics of atomic nuclei, v. 71, (5), 2008, MAY, p. 946-950
Meng, G. Article
The O(1)-Kepler problems
Journal of Mathematical Physics, v. 49, (10), Oct 2008, article number 102111
Meng, Guowu Article
The Representation Aspect of the Generalized Hydrogen Atoms
Journal of Lie theory, v. 18, (3), 2008, p. 697-715
Meng, Guowu Article

2007 2

Dirac and Yang monopoles revisited
Central European Journal of Physics, v. 5, (4), 2007, DEC, p. 570-575
Meng, Guowu Article
MICZ-Kepler Problems in all Dimensions
Journal of mathematical physics, v. 48, (3), 2007, MAR, article number 032105
Meng, Guowu Article

2006 2

Legendre transform, Hessian conjecture and tree formula
Applied mathematics letters, v. 19, (6), 2006, JUN, p. 503-510
Meng, GW Article
A generalization of Kepler problems
XIIth International Conference on Symmetry Methods in Physics, Yerevan, Armenia, July 3-8 2006
Meng, G. Conference paper

2005 1

Legendre Transform, Hessian Conjecture and Tree Formula
Affine Algebraic Geometry of the AMS-TMS Joint Meeting, Taichung, Taiwan, December 14-18 2005
Meng, G. Conference paper

2004 1

Geometrical construction of the Quantum Hall Effect in all even dimensions
International Conference on Physics Education & Frontier Research, Overseas Chinese Physics Association/Chinese Physical Society/Shanghai Physical Society/Shanghai Jiao Tong University, Shanghai, Page 98/ June 28 - July 1
Meng, Guowu Conference paper

2003 2

A path integral derivation of χy-genus
Journal OF PHYSICS a-mathematical and GENERAL, v. 36, (4), 2003, JAN 31, p. 1083-1086
Meng, GW Article
Geometric construction of the quantum Hall effect in all even dimensions
Journal OF PHYSICS a-mathematical and GENERAL, v. 36, (36), 2003, SEP 12, p. 9415-9423
Meng, GW Article

1998 1

Seiberg-Witten invariants and Milnor Torsion
The First International Congress of Chinese Mathematicians, Proceedings of ICCM, Beijing, China, December 12-16 1998
Meng, G. Conference paper

1997 2

Bracket models for weight systems and the universal Vassiliev invariants
Topology and its applications, v. 76, (1), 1997, MAR 11, p. 47-60
Meng, GW Article
Seiberg-Witten invariants and Milnor Torsion
Conference on topology of 4-manifolds, MSRI, Berkeley, CA, USA, January 1997
Meng, G. Conference paper

1996 2

SW = Milnor torsion
Mathematical Research Letters, v. 3, (5), 1996, p. 661-674
Meng, G.; Taubes, C.H. Article
SW = Milnor Torsion
Mathematical research letters, v. 3, (5), 1996, p. 661-674
Meng, Guowu; Taubes, Clifford Henry Article

1995 1

The Stability Theorem for Smooth Concordance Imbeddings
Conference on Ktheory and homotopy Theory, Oberwolfach, Germany, November 5-11 1995
Meng, G. Conference paper


Expand All Collapse All


Article 1

Magnetized Kepler manifolds and their quantization
Journal of Geometry and Physics, v. 159, January 2021, article number 103891
Meng, Guowu


Expand All Collapse All


Conference paper 1

Kepler problem and Jordan algebras
Trends in Mathematics, v. 2019, 2019, p. 181-187
Meng, Guowu


Expand All Collapse All


Article 2

The Classical Dynamic Symmetry for the Sp(1)-kepler Problems
Journal of Mathematical Physics, v.58, (9), September 2017, article number 091702
Bouarroudj, Sofiane; Meng, Guo Wu
The Classical Dynamic Symmetry for the U(1)-Kepler Problems
Journal of Geometry and Physics, v. 124, January 2018, p. 1-15
Bouarroudj, Sofiane; Meng, Guo Wu


Expand All Collapse All


Conference paper 2

Generalized Kepler Problems and Euclidean Jordan Algebras
Proceedings of the Seventeenth International Conference on Geometry, Integrability and Quantization, 2016, p. 72-94
Meng, Guowu
Tulczyjew Mechanics for Particles in Gauge Fields
Banach Center publications, v. 110, 2016, p. 193-199
Meng, Guowu


Expand All Collapse All


Article 3

On the trajectories of O(1)-Kepler problems
Journal of Mathematical Physics, v. 56, (5), 2015, article number 052901
Meng, Guowu
On the trajectories of Sp(1)-Kepler problems
Journal of Geometry and Physics, v. 96, July 2015, p. 123-132
Meng, Guowu
Tulczyjew's approach for particles in gauge fields
Journal of Physics A: Mathematical and Theoretical, v. 48, (14), April 2015, article number 145201
Meng, Guowu

Conference paper 1

On the Trajectories of U(1)-Kepler Problems
Proceedings of the Sixteenth International Conference on Geometry, Integrability and Quantization, 2015, p. 219-230
Meng, Guowu


Expand All Collapse All


Article 1

The Universal Kepler problem
Journal of Geometry and Symmetry in Physics, v. 36, 2014, p. 47-57
Meng, Guo Wu


Expand All Collapse All


Article 4

Generalized Kepler problems. I. without magnetic charges
Journal of Mathematical Physics, v. 54, (1), January 2013, article number 012109
Meng, Guowu
On the orbits of magnetized Kepler problems in dimension 2k + 1
Journal of Geometry and Physics, v. 73, November 2013, p. 260-269
Bai, Z.; Meng, G.; Wang, E.
The classical magnetized kepler problems in higher odd dimensions
Journal of Geometry and Symmetry in Physics, v. 32, January 2013, p. 15-23
Meng, G.
The Poisson realization of so (2,2k, + 2) on magnetic leaves and generalized MICZ-Kepler problems
Journal of Mathematical Physics, v. 54, (5), May 2013, article number 052902
Meng, Guowu


Expand All Collapse All


Article 1

Lorentz group and oriented McIntosh-Cisneros-Zwanziger-Kepler orbits
Journal of mathematical physics, v. 53, (5), May 2012, article number 052901
Meng, Guowu


Expand All Collapse All


Article 2

Euclidean Jordan algebras, hidden actions, and J-Kepler problems
Journal of mathematical physics, v. 52, (11), 2011, article number 112104
Meng, G.
Generalized MICZ-Kepler problems and unitary highest weight modules
Journal of mathematical physics, v. 52, (4), April 2011, article number 042106
Meng, Guowu; Zhang, Ruibin


Expand All Collapse All


Article 2

Generalized MICZ-Kepler problems and unitary highest weight modules, II
Journal OF The London Mathematical society-second Series, v. 81, (Part 3), 2010, JUN, p. 663-678
Meng, Guowu
The U(1)-Kepler Problems
Journal of Mathematical Physics, v. 51, (12), 2010, article number 122105
Meng, G.


Expand All Collapse All


Article 1

The Sp(1)-Kepler problems
Journal of Mathematical Physics, v. 50, (7), Jul 2009, article number 072107
Meng, Guowu

Conference paper 1

Generalized Hydrogen Atoms and Symmetric Domains of the Tube Type
Symposium on Representation Theory 2009, Okinawa, Japan, November 17-20 2009
Meng, G.


Expand All Collapse All


Article 3

A generalization of the Kepler problem
Physics of atomic nuclei, v. 71, (5), 2008, MAY, p. 946-950
Meng, G.
The O(1)-Kepler problems
Journal of Mathematical Physics, v. 49, (10), Oct 2008, article number 102111
Meng, Guowu
The Representation Aspect of the Generalized Hydrogen Atoms
Journal of Lie theory, v. 18, (3), 2008, p. 697-715
Meng, Guowu


Expand All Collapse All


Article 2

Dirac and Yang monopoles revisited
Central European Journal of Physics, v. 5, (4), 2007, DEC, p. 570-575
Meng, Guowu
MICZ-Kepler Problems in all Dimensions
Journal of mathematical physics, v. 48, (3), 2007, MAR, article number 032105
Meng, Guowu


Expand All Collapse All


Article 1

Legendre transform, Hessian conjecture and tree formula
Applied mathematics letters, v. 19, (6), 2006, JUN, p. 503-510
Meng, GW

Conference paper 1

A generalization of Kepler problems
XIIth International Conference on Symmetry Methods in Physics, Yerevan, Armenia, July 3-8 2006
Meng, G.


Expand All Collapse All


Conference paper 1

Legendre Transform, Hessian Conjecture and Tree Formula
Affine Algebraic Geometry of the AMS-TMS Joint Meeting, Taichung, Taiwan, December 14-18 2005
Meng, G.


Expand All Collapse All


Conference paper 1

Geometrical construction of the Quantum Hall Effect in all even dimensions
International Conference on Physics Education & Frontier Research, Overseas Chinese Physics Association/Chinese Physical Society/Shanghai Physical Society/Shanghai Jiao Tong University, Shanghai, Page 98/ June 28 - July 1
Meng, Guowu


Expand All Collapse All


Article 2

A path integral derivation of χy-genus
Journal OF PHYSICS a-mathematical and GENERAL, v. 36, (4), 2003, JAN 31, p. 1083-1086
Meng, GW
Geometric construction of the quantum Hall effect in all even dimensions
Journal OF PHYSICS a-mathematical and GENERAL, v. 36, (36), 2003, SEP 12, p. 9415-9423
Meng, GW


Expand All Collapse All


Conference paper 1

Seiberg-Witten invariants and Milnor Torsion
The First International Congress of Chinese Mathematicians, Proceedings of ICCM, Beijing, China, December 12-16 1998
Meng, G.


Expand All Collapse All


Article 1

Bracket models for weight systems and the universal Vassiliev invariants
Topology and its applications, v. 76, (1), 1997, MAR 11, p. 47-60
Meng, GW

Conference paper 1

Seiberg-Witten invariants and Milnor Torsion
Conference on topology of 4-manifolds, MSRI, Berkeley, CA, USA, January 1997
Meng, G.


Expand All Collapse All


Article 2

SW = Milnor torsion
Mathematical Research Letters, v. 3, (5), 1996, p. 661-674
Meng, G.; Taubes, C.H.
SW = Milnor Torsion
Mathematical research letters, v. 3, (5), 1996, p. 661-674
Meng, Guowu; Taubes, Clifford Henry


Expand All Collapse All


Conference paper 1

The Stability Theorem for Smooth Concordance Imbeddings
Conference on Ktheory and homotopy Theory, Oberwolfach, Germany, November 5-11 1995
Meng, G.


Expand All Collapse All


2016 2

Generalized Kepler Problems and Euclidean Jordan Algebras
Proceedings of the Seventeenth International Conference on Geometry, Integrability and Quantization, 2016, p. 72-94
Meng, Guowu Conference paper
Tulczyjew Mechanics for Particles in Gauge Fields
Banach Center publications, v. 110, 2016, p. 193-199
Meng, Guowu Conference paper

2015 4

On the trajectories of O(1)-Kepler problems
Journal of Mathematical Physics, v. 56, (5), 2015, article number 052901
Meng, Guowu Article
On the trajectories of Sp(1)-Kepler problems
Journal of Geometry and Physics, v. 96, July 2015, p. 123-132
Meng, Guowu Article
Tulczyjew's approach for particles in gauge fields
Journal of Physics A: Mathematical and Theoretical, v. 48, (14), April 2015, article number 145201
Meng, Guowu Article
On the Trajectories of U(1)-Kepler Problems
Proceedings of the Sixteenth International Conference on Geometry, Integrability and Quantization, 2015, p. 219-230
Meng, Guowu Conference paper

2014 1

The Universal Kepler problem
Journal of Geometry and Symmetry in Physics, v. 36, 2014, p. 47-57
Meng, Guo Wu Article

2013 4

Generalized Kepler problems. I. without magnetic charges
Journal of Mathematical Physics, v. 54, (1), January 2013, article number 012109
Meng, Guowu Article
On the orbits of magnetized Kepler problems in dimension 2k + 1
Journal of Geometry and Physics, v. 73, November 2013, p. 260-269
Bai, Z.; Meng, G.; Wang, E. Article
The classical magnetized kepler problems in higher odd dimensions
Journal of Geometry and Symmetry in Physics, v. 32, January 2013, p. 15-23
Meng, G. Article
The Poisson realization of so (2,2k, + 2) on magnetic leaves and generalized MICZ-Kepler problems
Journal of Mathematical Physics, v. 54, (5), May 2013, article number 052902
Meng, Guowu Article

2012 1

Lorentz group and oriented McIntosh-Cisneros-Zwanziger-Kepler orbits
Journal of mathematical physics, v. 53, (5), May 2012, article number 052901
Meng, Guowu Article

2011 2

Euclidean Jordan algebras, hidden actions, and J-Kepler problems
Journal of mathematical physics, v. 52, (11), 2011, article number 112104
Meng, G. Article
Generalized MICZ-Kepler problems and unitary highest weight modules
Journal of mathematical physics, v. 52, (4), April 2011, article number 042106
Meng, Guowu; Zhang, Ruibin Article

2010 2

Generalized MICZ-Kepler problems and unitary highest weight modules, II
Journal OF The London Mathematical society-second Series, v. 81, (Part 3), 2010, JUN, p. 663-678
Meng, Guowu Article
The U(1)-Kepler Problems
Journal of Mathematical Physics, v. 51, (12), 2010, article number 122105
Meng, G. Article

2009 2

The Sp(1)-Kepler problems
Journal of Mathematical Physics, v. 50, (7), Jul 2009, article number 072107
Meng, Guowu Article
Generalized Hydrogen Atoms and Symmetric Domains of the Tube Type
Symposium on Representation Theory 2009, Okinawa, Japan, November 17-20 2009
Meng, G. Conference paper

2008 3

A generalization of the Kepler problem
Physics of atomic nuclei, v. 71, (5), 2008, MAY, p. 946-950
Meng, G. Article
The O(1)-Kepler problems
Journal of Mathematical Physics, v. 49, (10), Oct 2008, article number 102111
Meng, Guowu Article
The Representation Aspect of the Generalized Hydrogen Atoms
Journal of Lie theory, v. 18, (3), 2008, p. 697-715
Meng, Guowu Article

2007 2

Dirac and Yang monopoles revisited
Central European Journal of Physics, v. 5, (4), 2007, DEC, p. 570-575
Meng, Guowu Article
MICZ-Kepler Problems in all Dimensions
Journal of mathematical physics, v. 48, (3), 2007, MAR, article number 032105
Meng, Guowu Article

2006 2

Legendre transform, Hessian conjecture and tree formula
Applied mathematics letters, v. 19, (6), 2006, JUN, p. 503-510
Meng, GW Article
A generalization of Kepler problems
XIIth International Conference on Symmetry Methods in Physics, Yerevan, Armenia, July 3-8 2006
Meng, G. Conference paper

2005 1

Legendre Transform, Hessian Conjecture and Tree Formula
Affine Algebraic Geometry of the AMS-TMS Joint Meeting, Taichung, Taiwan, December 14-18 2005
Meng, G. Conference paper

2004 1

Geometrical construction of the Quantum Hall Effect in all even dimensions
International Conference on Physics Education & Frontier Research, Overseas Chinese Physics Association/Chinese Physical Society/Shanghai Physical Society/Shanghai Jiao Tong University, Shanghai, Page 98/ June 28 - July 1
Meng, Guowu Conference paper

2003 2

A path integral derivation of χy-genus
Journal OF PHYSICS a-mathematical and GENERAL, v. 36, (4), 2003, JAN 31, p. 1083-1086
Meng, GW Article
Geometric construction of the quantum Hall effect in all even dimensions
Journal OF PHYSICS a-mathematical and GENERAL, v. 36, (36), 2003, SEP 12, p. 9415-9423
Meng, GW Article

1998 1

Seiberg-Witten invariants and Milnor Torsion
The First International Congress of Chinese Mathematicians, Proceedings of ICCM, Beijing, China, December 12-16 1998
Meng, G. Conference paper

1997 2

Bracket models for weight systems and the universal Vassiliev invariants
Topology and its applications, v. 76, (1), 1997, MAR 11, p. 47-60
Meng, GW Article
Seiberg-Witten invariants and Milnor Torsion
Conference on topology of 4-manifolds, MSRI, Berkeley, CA, USA, January 1997
Meng, G. Conference paper

1996 2

SW = Milnor torsion
Mathematical Research Letters, v. 3, (5), 1996, p. 661-674
Meng, G.; Taubes, C.H. Article
SW = Milnor Torsion
Mathematical research letters, v. 3, (5), 1996, p. 661-674
Meng, Guowu; Taubes, Clifford Henry Article

1995 1

The Stability Theorem for Smooth Concordance Imbeddings
Conference on Ktheory and homotopy Theory, Oberwolfach, Germany, November 5-11 1995
Meng, G. Conference paper


No Publications


No Publications


No Publications






Teaching Assignment

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2021-22 Winter 0 2021-22 Fall 2 2020-21 Summer 0 2020-21 Spring 1 2020-21 Winter 0 2020-21 Fall 2

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MATH4223 Differential Geometry
MATH5230 Differential Topology


MATH5240 Algebraic Topology


MATH4223 Differential Geometry
MATH5230 Differential Topology


No Teaching Assignments


No Teaching Assignments


No Teaching Assignments






Research Postgraduate (RPG) Supervision From January 2019 to December 2022 (As of 30 January 2022)

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Current RPGs

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Doctor of Philosophy MA, Junwei
Mathematics( 2021 - )

XIAO, Jiazhuo
Mathematics( 2019 - )









ProjectsFrom January 2020 to December 2022

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All Projects 1

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No Projects.
Towards the classification of generalized Kepler problems


广义开普勒问题的分类 Leading


RGC - General Research Fund


Project Team (HKUST)
MENG Guowu (Lead)


2020 -