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Biography
Prof. Meng joined HKUST in Fall 1993. He is a CUSPEA student in class 1986 (from USTC ) and in 1989 he switched to mathematics. His Ph.D. field of research is topology and his thesis advisor is Thomas Goodwillie. Mathematically he is best known as the "Meng" in MengTaubes Formula  a fundamental result in three and fourdimensional topology which links the modern SeibergWitten theory for smooth fourmanifolds to the classical Alexander theory for knots, links and threemanifolds. That formula roughly says that each coefficient of the multivariable Alexander polynomial of a knot, or a link or a threemanifold is exactly the number of solutions (counted with signs) of the static SeibergWitten equations for a certain topological setup. In recent years his mathematical exploration is focused on the Kepler problem  the mathematical model for a solar system with a single planet or an atom with a single electron, depending on whether it is considered classically or quantum mechanically. The goal of this exploration is to find out the mathematical essence of this great problem and to explore the potential implication (of mathematical findings) to fundamental physics. One surprising discovery of this exploration is an intimate relationship between the Kepler problem in classical physics and future light cone in the special theory of relativty.Research Interests
Physicsinspired mathematicsSelected Publications
Article

LigonSchaaf Regularization Map Revisited
 Author(s): Meng, Guowu
 Source: Journal of Mathematical Physics, v. 64, (12), December 2023, article number 122902
 Year: 2023

Magnetized Kepler manifolds and their quantization
 Author(s): Meng, Guowu
 Source: Journal of Geometry and Physics, v. 159, January 2021, article number 103891
 Year: 2021

The Classical Dynamic Symmetry for the U(1)Kepler Problems
 Author(s): Bouarroudj, Sofiane; Meng, Guo Wu
 Source: Journal of Geometry and Physics, v. 124, January 2018, p. 115
 Year: 2018

The Classical Dynamic Symmetry for the Sp(1)kepler Problems
 Author(s): Bouarroudj, Sofiane; Meng, Guo Wu
 Source: Journal of Mathematical Physics, v.58, (9), September 2017, article number 091702
 Year: 2017

On the trajectories of Sp(1)Kepler problems
 Author(s): Meng, Guowu
 Source: Journal of Geometry and Physics, v. 96, July 2015, p. 123132
 Year: 2015

On the trajectories of O(1)Kepler problems
 Author(s): Meng, Guowu
 Source: Journal of Mathematical Physics, v. 56, (5), 2015, article number 052901
 Year: 2015

Tulczyjew's approach for particles in gauge fields
 Author(s): Meng, Guowu
 Source: Journal of Physics A: Mathematical and Theoretical, v. 48, (14), April 2015, article number 145201
 Year: 2015

The Universal Kepler problem
 Author(s): Meng, Guo Wu
 Source: Journal of Geometry and Symmetry in Physics, v. 36, 2014, p. 4757
 Year: 2014

The classical magnetized kepler problems in higher odd dimensions
 Author(s): Meng, Guowu
 Source: Journal of Geometry and Symmetry in Physics, v. 32, January 2013, p. 1523
 Year: 2013

On the orbits of magnetized Kepler problems in dimension 2k + 1
 Author(s): Bai, Z.; Meng, G.; Wang, E.
 Source: Journal of Geometry and Physics, v. 73, November 2013, p. 260269
 Year: 2013

The Poisson realization of so (2,2k, + 2) on magnetic leaves and generalized MICZKepler problems
 Author(s): Meng, Guowu
 Source: Journal of Mathematical Physics, v. 54, (5), May 2013, article number 052902
 Year: 2013

Generalized Kepler problems. I. without magnetic charges
 Author(s): Meng, Guowu
 Source: Journal of Mathematical Physics, v. 54, (1), January 2013, article number 012109
 Year: 2013

Lorentz group and oriented McIntoshCisnerosZwanzigerKepler orbits
 Author(s): Meng, Guowu
 Source: Journal of mathematical physics, v. 53, (5), May 2012, article number 052901
 Year: 2012

Euclidean Jordan algebras, hidden actions, and JKepler problems
 Author(s): Meng, G.
 Source: Journal of mathematical physics, v. 52, (11), 2011, article number 112104
 Year: 2011

Generalized MICZKepler problems and unitary highest weight modules
 Author(s): Meng, Guowu; Zhang, Ruibin
 Source: Journal of mathematical physics, v. 52, (4), April 2011, article number 042106
 Year: 2011

The U(1)Kepler Problems
 Author(s): Meng, G.
 Source: Journal of Mathematical Physics, v. 51, (12), 2010, article number 122105
 Year: 2010

Generalized MICZKepler problems and unitary highest weight modules, II
 Author(s): Meng, Guowu
 Source: Journal OF The London Mathematical societysecond Series, v. 81, (Part 3), 2010, JUN, p. 663678
 Year: 2010

The Sp(1)Kepler problems
 Author(s): Meng, Guowu
 Source: Journal of Mathematical Physics, v. 50, (7), Jul 2009, article number 072107
 Year: 2009

A generalization of the Kepler problem
 Author(s): Meng, G.
 Source: Physics of atomic nuclei, v. 71, (5), 2008, MAY, p. 946950
 Year: 2008

The Representation Aspect of the Generalized Hydrogen Atoms
 Author(s): Meng, Guowu
 Source: Journal of Lie theory, v. 18, (3), 2008, p. 697715
 Year: 2008

The O(1)Kepler problems
 Author(s): Meng, Guowu
 Source: Journal of Mathematical Physics, v. 49, (10), Oct 2008, article number 102111
 Year: 2008

MICZKepler Problems in all Dimensions
 Author(s): Meng, Guowu
 Source: Journal of mathematical physics, v. 48, (3), 2007, MAR, article number 032105
 Year: 2007

Dirac and Yang monopoles revisited
 Author(s): Meng, Guowu
 Source: Central European Journal of Physics, v. 5, (4), 2007, DEC, p. 570575
 Year: 2007

Legendre transform, Hessian conjecture and tree formula
 Author(s): Meng, GW
 Source: Applied mathematics letters, v. 19, (6), 2006, JUN, p. 503510
 Year: 2006

A path integral derivation of χygenus
 Author(s): Meng, GW
 Source: Journal OF PHYSICS amathematical and GENERAL, v. 36, (4), 2003, JAN 31, p. 10831086
 Year: 2003

Geometric construction of the quantum Hall effect in all even dimensions
 Author(s): Meng, GW
 Source: Journal OF PHYSICS amathematical and GENERAL, v. 36, (36), 2003, SEP 12, p. 94159423
 Year: 2003

Bracket models for weight systems and the universal Vassiliev invariants
 Author(s): Meng, GW
 Source: Topology and its applications, v. 76, (1), 1997, MAR 11, p. 4760
 Year: 1997

SW = Milnor Torsion
 Author(s): Meng, Guowu; Taubes, Clifford Henry
 Source: Mathematical research letters, v. 3, (5), 1996, p. 661674
 Year: 1996

SW = Milnor torsion
 Author(s): Meng, G.; Taubes, C.H.
 Source: Mathematical Research Letters, v. 3, (5), 1996, p. 661674
 Year: 1996
Book chapter

Kepler Problem, Lorentz Transformation, and Jordan Algebra
 Author(s): Meng, Guowu
 Source: Scientific Legacy of Professor Zbigniew Oziewicz: Selected Papers from the International Conference “Applied Category Theory GraphOperadLogic” / edited by Hilda María Colín García, José de Jesús Cruz Guzmán, Louis H Kauffman, and Hanna Makaruk. World Scientific Publishing : Singapore, 2023, p. 309322, Ch. 15. Series on Knots and Everything, v. 75
 Year: 2023
Conference paper

Kepler problem and Jordan algebras
 Author(s): Meng, Guowu
 Source: Trends in Mathematics, v. 2019, 2019, p. 181187
 Year: 2019

Generalized Kepler Problems and Euclidean Jordan Algebras
 Author(s): Meng, Guowu
 Source: 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. 7294
 Year: 2016

Tulczyjew Mechanics for Particles in Gauge Fields
 Author(s): Meng, Guowu
 Source: Banach Center Publications, v. 110, 2016, p. 193199
 Year: 2016

On the Trajectories of U(1)Kepler Problems
 Author(s): Meng, Guowu
 Source: Proceedings of the Sixteenth International Conference on Geometry, Integrability and Quantization, 2015, p. 219230
 Year: 2015

The classical magnetized kepler problems in higher odd dimensions
 Author(s): Meng, Guowu
 Source: 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. 196203, Book series: Geometry, Integrability and Quantization, Proceedings Series, v. 15
 Year: 2014

Generalized Hydrogen Atoms and Symmetric Domains of the Tube Type
 Author(s): Meng, G.
 Source: Symposium on Representation Theory 2009, Okinawa, Japan, November 1720 2009
 Year: 2009

A generalization of Kepler problems
 Author(s): Meng, G.
 Source: XIIth International Conference on Symmetry Methods in Physics, Yerevan, Armenia, July 38 2006
 Year: 2006

Legendre Transform, Hessian Conjecture and Tree Formula
 Author(s): Meng, G.
 Source: Affine Algebraic Geometry of the AMSTMS Joint Meeting, Taichung, Taiwan, December 1418 2005
 Year: 2005

Geometrical construction of the Quantum Hall Effect in all even dimensions
 Author(s): Meng, Guowu
 Source: 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
 Year: 2004

SeibergWitten invariants and Milnor Torsion
 Author(s): Meng, G.
 Source: The First International Congress of Chinese Mathematicians, Proceedings of ICCM, Beijing, China, December 1216 1998
 Year: 1998

SeibergWitten invariants and Milnor Torsion
 Author(s): Meng, G.
 Source: Conference on topology of 4manifolds, MSRI, Berkeley, CA, USA, January 1997
 Year: 1997

The Stability Theorem for Smooth Concordance Imbeddings
 Author(s): Meng, G.
 Source: Conference on Ktheory and homotopy Theory, Oberwolfach, Germany, November 511 1995
 Year: 1995