Guowu MENG
孟國武

PhD in Mathematics
Brown University, 1993

Professor
Department of Mathematics

Research Interest


  • Physics-inspired mathematics

Publications



2024 1

On Fock Transform and Moser Regularization Map

Journal of Geometry and Symmetry in Physics, v. 68, June 2024, p. 43-57
Li, Hailong; Ma, Junwei; Meng, Guowu; Xiao, Jiazhuo
Article
2023 2

Ligon-Schaaf Regularization Map Revisited

Journal of Mathematical Physics, v. 64, (12), December 2023, article number 122902
Meng, Guowu
Article

Kepler Problem, Lorentz Transformation, and Jordan Algebra

Scientific Legacy of Professor Zbigniew Oziewicz: Selected Papers from the International Conference “Applied Category Theory Graph-Operad-Logic” / edited by Hilda María Colín García, José de Jesús Cruz Guzmán, Louis H Kauffman, and Hanna Makaruk. Singapore : World Scientific Publishing Company, 2023, p. 309-322, Ch. 15. Series on Knots and Everything, v. 75
Meng, Guowu
Book chapter
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
2018 1

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
2017 1

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
2016 2

Generalized Kepler Problems and Euclidean Jordan Algebras

Proceedings of the Seventeenth International Conference on Geometry, Integrability and Quantization / Edited by: Ivaïlo M. Mladenov, Guowu Meng, Akira Yoshioka. Sofia, Bulgaria : Avangard Prima, 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 2

The Universal Kepler problem

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

The classical magnetized kepler problems in higher odd dimensions

Proceedings of the Fifteenth International Conference on Geometry, Integrability and Quantization / Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka. Durham, NC : Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 2014, p. 196-203, Book series: Geometry, Integrability and Quantization, Proceedings Series, v. 15
Meng, Guowu
Conference paper
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, Guowu
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
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
Article 1

On Fock Transform and Moser Regularization Map

Journal of Geometry and Symmetry in Physics, v. 68, June 2024, p. 43-57
Li, Hailong; Ma, Junwei; Meng, Guowu; Xiao, Jiazhuo
Article 1

Ligon-Schaaf Regularization Map Revisited

Journal of Mathematical Physics, v. 64, (12), December 2023, article number 122902
Meng, Guowu
Book chapter 1

Kepler Problem, Lorentz Transformation, and Jordan Algebra

Scientific Legacy of Professor Zbigniew Oziewicz: Selected Papers from the International Conference “Applied Category Theory Graph-Operad-Logic” / edited by Hilda María Colín García, José de Jesús Cruz Guzmán, Louis H Kauffman, and Hanna Makaruk. Singapore : World Scientific Publishing Company, 2023, p. 309-322, Ch. 15. Series on Knots and Everything, v. 75
Meng, Guowu
Article 1

Magnetized Kepler manifolds and their quantization

Journal of Geometry and Physics, v. 159, January 2021, article number 103891
Meng, Guowu
Conference paper 1

Kepler problem and Jordan algebras

Trends in Mathematics, v. 2019, 2019, p. 181-187
Meng, Guowu
Article 1

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 1

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
Conference paper 2

Generalized Kepler Problems and Euclidean Jordan Algebras

Proceedings of the Seventeenth International Conference on Geometry, Integrability and Quantization / Edited by: Ivaïlo M. Mladenov, Guowu Meng, Akira Yoshioka. Sofia, Bulgaria : Avangard Prima, 2016, p. 72-94
Meng, Guowu

Tulczyjew Mechanics for Particles in Gauge Fields

Banach Center Publications, v. 110, 2016, p. 193-199
Meng, Guowu
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
Article 1

The Universal Kepler problem

Journal of Geometry and Symmetry in Physics, v. 36, 2014, p. 47-57
Meng, Guo Wu
Conference paper 1

The classical magnetized kepler problems in higher odd dimensions

Proceedings of the Fifteenth International Conference on Geometry, Integrability and Quantization / Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka. Durham, NC : Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 2014, p. 196-203, Book series: Geometry, Integrability and Quantization, Proceedings Series, v. 15
Meng, Guowu
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, Guowu

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 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 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
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.
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.
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
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
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.
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.
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
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
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.
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.
Conference paper 1

The Stability Theorem for Smooth Concordance Imbeddings

Conference on Ktheory and homotopy Theory, Oberwolfach, Germany, November 5-11 1995
Meng, G.
2019 1

Kepler problem and Jordan algebras

Trends in Mathematics, v. 2019, 2019, p. 181-187
Meng, Guowu
Conference paper
2018 1

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
2017 1

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
2016 2

Generalized Kepler Problems and Euclidean Jordan Algebras

Proceedings of the Seventeenth International Conference on Geometry, Integrability and Quantization / Edited by: Ivaïlo M. Mladenov, Guowu Meng, Akira Yoshioka. Sofia, Bulgaria : Avangard Prima, 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 2

The Universal Kepler problem

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

The classical magnetized kepler problems in higher odd dimensions

Proceedings of the Fifteenth International Conference on Geometry, Integrability and Quantization / Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka. Durham, NC : Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 2014, p. 196-203, Book series: Geometry, Integrability and Quantization, Proceedings Series, v. 15
Meng, Guowu
Conference paper
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, Guowu
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
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



MATH2121 Linear Algebra
MATH4033 Calculus on Manifolds
MATH5111 Advanced Algebra I
MATH4033 Calculus on Manifolds
MATH4991 Capstone Project in Pure Mathematics
No Teaching Assignments
No Teaching Assignments
No Teaching Assignments

Research Postgraduate (RPG) Supervision

From January 2022 to December 2025 (As of 06 April 2025)

Current RPGs

Doctor of Philosophy
  • HOU, Jiantong
    Mathematics

  • MA, Junwei
    Mathematics

  • XIAO, Jiazhuo
    Mathematics

Projects

From January 2023 to December 2025

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