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Department of Mathematics

在文檔中 Research Report 2003-04 (頁 98-130)

Jian-Shu LI, Professor and Department Head Kwing Lam CHAN, Professor

Shiu-Yuen CHENG, Professor; Dean of Science Jing-Song HUANG, Professor

Allen MOY, Professor Kun XU, Professor

Chung-Chun YANG, Professor Kunrui YU, Professor

Kung Ching CHANG, Adjunct Professor Shou Jun CHEN, Adjunct Professor C K CHU, Adjunct Professor

William K M LAU, Adjunct Professor Jeffrey R CHASNOV, Associate Professor Beifang CHEN, Associate Professor Kani CHEN, Associate Professor Yik Man CHIANG, Associate Professor Jimmy C H FUNG, Associate Professor Jishan HU, Associate Professor

Bing Yi JING, Associate Professor Yue Kuen KWOK, Senior Lecturer Kin Yin LI, Associate Professor Weiping LI, Associate Professor

Guowu MENG, Associate Professor Mo MU, Associate Professor

Xiaoping WANG, Associate Professor Man Yu WONG, Associate Professor Lixin WU, Associate Professor Min YAN, Associate Professor

Yongchang ZHU, Associate Professor

Alexis Kai-Hon LAU, Acting Director, Center for Coastal and Atmospheric Research; Adjunct Associate Professor, AMCE

Jianping GAN, Assistant Professor Shiqing LING, Assistant Professor

Pavle PANDZIC, Visiting Assistant Professor

Tiezheng QIAN, Assistant Professor of Mathematics Yang XIANG, Assistant Professor

Jian-Shu LI

Professor and Department Head (2358 7437 ; [email protected])

PhD, Yale University (1987)

Assistant Professor, Associate Professor and Professor of Mathematics, University of Maryland (1989-98)

Current Research Activities:

Representation theory; automorphic forms.

Representative Research Publications:

Li, Jian-Shu, Schwermer, Joachim (2001-2002) "Automorphic Representations and Cohomology of Arithmetic Groups", Challenges for the 21st Century, proceedings of the International Conference on Fundamental Sciences, Singapore, 102-137.

Li, Jian-Shu (2001-2002) "On the first eigenvalue of Laplacian for locally symmetric manifolds", Proceedings of First ICCMAMS/IP Studies in Advanced Mathematics, 20, 271-278.

Li, Jian-Shu, Tan, Eng Chye, Zhu, Chengbo (2001-2002) "Tensor Product of Degenerate Principal Series and Local Theta Correspondence", Journal of Functional Analysis, 186: 381-431.

Kwing Lam CHAN Professor

(2358 7424 ; [email protected])

PhD, Princeton University (1974)

Senior Scientist, Applied Research Corporation (1980-94)

Current Research Activities:

Astrophysics; atmospheric dynamics; large-scale computation.

Representative Research Publications:

Mayr, HG, Mengel, JG, Talaat, ER, Porter, HS, Chan, KL (2004-2005) "Properties of internal planetary-scale inertio gravity waves in the mesosphere", Annales Geophysicae, 22: 3421-3435.

Chow, Kim, Chan, Kwing (2003-2004) "Angular momentum transport by moving spiral waves", J.

Atmos. Sci., 60, 2004-2009.

Mayr, Hans, Mengel, John, Drob, D.P., Porter, H.S., Chan, Kwing Lam (2003-2004) "Intraseasonal oscillations in the middle atmosphere forced by gravity waves", J. Atmos. Sol.-Terr. Phys, 65, 1187.

Robinson, Frank, Chan, Kwing Lam (2003-2004) "Non-Boussinesq simulations of Rayleigh-Benard convection in a perfect gas", Phys. of Fluids, 16, 1321.

Saikia, E., Das, M.K., Singh, Harinder, Srivastava, M.P., Chan, K.L. (2003-2004) "On characterization of turbulent stellar convection", Mon. Not. R. Astron. Soc., 343, 1002-1006.

Robinson, Francis, Demarque, Pierre, Li, L.H., Sofia, Sabatino, Kim, Y.-C., Chan, Kwing Lam, Guenther, D.B. (2003-2004) "Three-dimensional simulations of the upper radiation-convection transition layer in subgiant stars", Mon. Not. R. Astron. Soc., 347, 1208.

Rudiger, Guenter, Kuker, Manfred, Chan, Kwing L (2003) "Differential rotation and meridional flow in the solar supergranulation layer: Measuring the eddy viscosity", Astronomy & Astrophysics, 399: 743-748.

Robinson, Frank J., Demarque, Pierre, Li, L H, Kim, Y C, Chan, Kwing L, Guenther, David B (2003) "Three-dimensional convection simulations of the outer layers of the Sun using realistic physics", Monthly Notices of the Royal Astronomical Society, 340: 923-936.

Shiu-Yuen CHENG

Professor; Dean of Science (2358 7412 ; [email protected])

PhD, University of California, Berkeley (1974)

Professor of Mathematics, University of California, Los Angeles (1981-98) Professor of Mathematics, Chinese University of Hong Kong (1992-95)

Current Research Activities:

Differential geometry; game theory; geometric partial differential equations.

Jing-Song HUANG Professor

(2358 7450 ; [email protected] ; http://www.math.ust.hk/~mahuang)

PhD, Massachusetts Institute of Technology (1989)

Member (1989-90), Institute for Advanced Study, Princeton, New Jersey, USA

Current Research Activities:

Representation theory, Lie theory, noncommutative harmonic analysis.

Active Projects as Principal Investigator:

The geometry of admissible representations

RGC - Competitive Earmarked Research Grant HK$411,000 01 Oct 2003

Representative Research Publications:

Huang, Jing-Song, Pandzic, Pavle (2005) "Dirac operators in representation theory",

Representations of Real and p-adic Groups, Lecture Notes Series, Institute for mathematical Sciences, National University of Singapore, Vol. 2, World Scientific, 2004, 163-219.

Huang, Jing-Song (2001-2002) "Admissible square quadruplets and semisimple symmetric spaces", Advances in Mathematics, 165, 101-123.

Huang, Jing-Song, Pandzic, Pavle (2001-2002) "Dirac cohomology, unitary representations and a proof of a conjecture on Vogan", Journal of AMS, 15, 185-202.

Huang, Jing-Song (2001-2002) "Invariant differential operators and eigenspace representations on an affine symmetric space", Annals of Mathematics, 154, 703-737.

Allen MOY Professor

(2358 7422 ; [email protected])

PhD, University of Chicago (1982)

Gibbs Instructor in Mathematics, Yale University (1982-84)

Associate Professor and Professor of Mathematics, University of Michigan (1990-2001)

Current Research Activities:

Representation theory; Lie theory.

Kun XU Professor

(2358 7433 ; [email protected])

PhD, Columbia University (1993)

Research Staff, Princeton University (1996)

Visiting Scientist, NASA Langley Research Center (1998)

Current Research Activities:

Computational fluid dynamics; gas kinetic schemes; rarefied gas; heat transfer.

Active Projects as Principal Investigator:

Implicit gas-kinetic scheme and the accurate computation of heat transport for the hypersonic viscous flow

RGC - Competitive Earmarked Research Grant HK$337,63101 Sep 2004 Gas-kinetic scheme for multidimensional flow simulations

RGC - Competitive Earmarked Research Grant HK$377,14901 Sep 2003

Representative Research Publications:

Li, Qi-Bin, Fu, Song, Xu, Kun (2005) "A comptransportressible Navier-Stokes flow solver with scalar", Journal of computational Physics, 204, 692-714.

Xu, Kun, Mao, Mei-Liang, Tang, Lei (2005) "A multidimensional gas-kinetic BGK scheme for hypersonic visocus flow", Journal of Computational physics, 203, 405-421.

Xu, Kun, Josyula, Eswar (2005) "A multiple translational temperature model and its shock structure solution", Physical Review E, 71, 056308.

xu, kun, Li, Zhihui (2004) "Micro-channel flow in slip regime: gas-kinetic BGK-Burnett solution", Journal of Fluid Mechanics, 513, 87-110.

Xu, Kun, Tang, Lei (2004) "Non-equilibrium BGK model for nitrogen shock structure", Physics of fluids, 16, 3824.

Ohwada, Taku, Xu, Kun (2004) "The kinetic scheme for full Burnett equations", Journal of computational physics, 201, 315-332.

Xu, Kun, He, Xiaoyi (2003) "Lattice Boltzmann method and gas-kinetic BGK scheme in the low Mach number flow simulations", Journal of computational physics, Vol. 190, pp. 100.

Xu, Kun (2003) "Super-Burnett solutions for Poiseuille flow", Physics of fluids, Vol. 15, pp. 2077.

Chung-Chun YANG Professor

(2358 7414 ; [email protected])

PhD, University of Wisconsin, Madison (1969)

Research Mathematician, Naval Research Laboratory (1970-90) Visiting Professor, Illinois Institute of Technology (1983-84)

Current Research Activities:

Real and complex analysis; value distribution theory and its applications.

Active Projects as Principal Investigator:

Value distribution of meromorphic functions.

RGC - Competitive Earmarked Research Grant HK$300,000 01 Dec 2003 Topics in Nevanlinna theory and number theory

RGC - Direct Allocation Grant HK$53,387 01 Dec 2004

Representative Research Publications:

Barsegian, Grigor, Laine, Ilpo, Yang, Chung-Chun (2004) Value distribution theory and related topics, Kluwer Academic Publishers.

Hu, Pei-Chu, Yang, Chung-Chun (2004) "Nevanlinna theory and Diophantine approximations", Finite and infinite dimensional complex analysis , Kluwer Academic Publishers, 1-20.

Ha, Huy-Khaoi, Yang, Chung-Chun (2004) "On the functional equation P(f)=Q(g)", Value distribution theory and related topics, Kluwer Academic Publishers, 201-208.

Li, Ping, Yang, Chung-Chun (2004) "Some further results on the functional equation P(f)=Q(g)", Value distribution theory and related topics, KLuwer Academic Publishers, 219-232.

Escassut, Alain, Yang, Chung-Chun (2004) "The functional equation: P(f)=Q(g) in a p-adic field", J.Number Theory, V. 105 , no. 2, 344-360.

Hu, Pei-Chu, Li, Ping, Yang, Chung-Chun (2003) Unicity of meromorphic mappings, Kluwer Academic Publishers.

Liao, Liangwen, Su, Weiyi, Yang, Chung-Chun (2003) "A Malmquist-Yosida type of theorem for the second-order algebraic differential equations", J. Differential Equations, Vol. 187, 63-71.

Hu, Pei-Chu, Yang, Chung-Chun (2002) "A note on the abc Conjecture", Communications on Pure and Applied Mathematics, LV, 1089-1103.

Kunrui YU Professor

(2358 7417 ; [email protected])

Dr rer nat, Universitat Bonn (1987)

Professor, Institute of Mathematics, Chinese Academy of Sciences (1988-91)

Current Research Activities:

Transcendental number theory; diophantine approximation.

Active Projects as Principal Investigator:

Logarithmic Forms and the abc-Conjecture

RGC - Competitive Earmarked Research Grant HK$233,000 01 Jul 2004

Representative Research Publications:

Yu, Kunrui (2004) "P-adic Logarithmic Forms", The Brownawell Conference, organizer: Stewart, C.

L., Waterloo, Ontario, Canada, 17-19 June.

Yu, Kunrui (2003) "New Progress in the Theory of P-adic Logarithmic Forms", Workshop

Diophantine Approximation, organizer: Beukers, F. and Evertse, J-H., Leiden, The Netherlands, 28 July-2 August.

Yu, Kunrui (2002) "Progress in p-adic Logarithmic Forms", Groupe d'Etude sur les Problemes Diophantiens, 27 June, Chevaleret, Paris.

Kung Ching CHANG Adjunct Professor

(2358 7444 ; [email protected])

Graduate from Peking University (1959).

Professor, Peking University (1983- )

Current Research Activities:

Partial differential equations.

Shou Jun CHEN Adjunct Professor

(2358 7444 ; [email protected])

Graduate from Peking University (1957).

Professor, Peking University (1985- )

Current Research Activities:

Atmospheric science.

C K CHU

Adjunct Professor

(2358 7444 ; [email protected])

PhD (1959) and Research Associate (1958-59), Courant Institute, New York University.

Chairman of Applied Physics and Nuclear Engineering, Columbia University (1995- )

Current Research Activities:

Applied mathematics; plasma physics; fluid dynamics; large-scale computing.

William K M LAU Adjunct Professor

(2358 7444 ; [email protected])

PhD, University of Washington (1977).

Head, Climate and Radiation Branch, NASA/Goddard Space Flight Center (1991- )

Current Research Activities:

Climate dynamics; tropical and monsoon meteorology; ocean-atmosphere interaction.

Jeffrey R CHASNOV Associate Professor

(2358 7448 ; [email protected])

PhD, Columbia University (1990)

Research Fellow, NASA Ames/Stanford Center for Turbulence Research (1991-93)

Current Research Activities:

Turbulence simulation and theory; evolutionary genetics; scientific computation.

Active Projects as Principal Investigator:

Evolutionary transitions between mating systems: the worm as a model

RGC - Competitive Earmarked Research Grant HK$318,000 01 Jan 2005

Representative Research Publications:

Chasnov, Jeffrey R., Chow, King L. (2002) "Why are there males in the hermaphroditic species Caenorhabditis elegans?", Genetics, 160, 983-994.

Beifang CHEN Associate Professor

(2358 7449 ; [email protected])

PhD, State University of New York at Buffalo (1991)

Instructor in Applied Mathematics, Massachusetts Institute of Technology (1991-93)

Current Research Activities:

Discrete mathematics; combinatorics; geometric probability; computational geometry.

Active Projects as Principal Investigator:

Circular colorings and integral flows on graphs

RGC - Competitive Earmarked Research Grant HK$300,000 01 Sep 2003

Representative Research Publications:

Chen, Beifang (2004) "A simplified elementary proof of Hadwiger's volume theorem", Geometriae Dedicata, vol. 105, 107-120.

Chen, Beifang, Lau, Mankwong (2003) "On semi-Eulerian partially ordered sets with boundary", European Journal of Combinatorics, vol 24, 955-968.

Chen, Beifang (2003) "The Pick theorem and the proof of the reciprocity law for Dedekind sums", Annals of Combinatorics, Vol 7, 425-439.

Chen, Beifang, Lau, Mankwong (2003) "On the semi-Eulerian partially ordered sets with boundary", European journals of combinatorics, to appear.

Chen, Beifang (2001-2002) "Lattice points, Dedekind sums, and Ehrhart polynomials of lattice polyhedra", Discrete and Computational Geometry, 28, 175-199.

Kani CHEN

Associate Professor

(2358 7425 ; [email protected])

PhD, Columbia University (1994)

Visiting Assistant Professor, Columbia University (1994)

Current Research Activities:

Survival analysis; sequential analysis; boot-strapping; empirical process; stochastic modeling; missing data and EM algorithm.

Active Projects as Principal Investigator:

Statistical analysis of clustered and censored data with transformation models

RGC - Competitive Earmarked Research Grant HK$324,000 16 Aug 2003

Representative Research Publications:

chen, kani, jin, zhezhen (2005) "Local polynomial regression analysis of clustered data.", Biometrika, 95, 59-74.

Chen, Kani (2004) "Statistical estimation in the proportional hazards model with risk set sampling.", Annals of Statistics, To appear.

Chen, Kani (2003) "Linear minimax efficiency for local polynomial regression smoothers", Journal of nonparametric statistics, 15(3), 343-353.

Chen, Kani (2001-2002) "Parametric and semiparametric models for recapture and removal studies:

a likelihood approach.", Journal of the Royal Statistical Society, 63(3), 607-619.

Chen, Kani (2001) "Generalized case-cohort sampling", Journal of the Royal Statistical Society, 63(4), 791-809.

Yik Man CHIANG Associate Professor

(2358 7441 ; [email protected])

PhD, University of London (1991)

Lecturer, Bolton Institute, UK (1991-92)

Chief Research Assistant, University of Joensuu, Finland (1992)

Current Research Activities:

Complex function theory; ordinary differential equations in the complex plane, orthogonal polynomials, difference equations.

Representative Research Publications:

Chiang, Yik-Man, Feng, S. J. (2005) "On the growth of entire solutions to some difference equations", Computational Methods and Function Theory 2005, University of Joensuu, Finland, organized by St. Ruscheweyh, E. B. Saff, O. Martio and I. Laine., 13--17th June 2005,.

Chiang, Yik-Man, Feng, S. J. (2005) "Some Nevanlinna-type estimates related to discrete

equations", International Conference on Nonlinear Waves, Integrable Systems, and their Applications, in honor of Mark Ablowitz's sixtieth birthday, University of Colorado Spring, , organized by M. Kruskal, T. Fokas, S. Chakravarty and R. Cascaval, 4--8th June 2005.

Chiang, Yik-Man, Hayman, W. K. (2004) "Estimates on the growth of entire and meromorphic solutions of linear differential equations", Commentarii Mathematici Helvetici, 79, pp. 451-470.

Chiang, Yik-Man, Ismail, Mourad E M (2004) "On The Location of Complex Zeros of Bessel Functions and Complex Oscillation Theory", American Mathematics Society, Joint Mathematics

Meetings, Phoenix, AZ. Special Session in 'Value Distribution Theory in Classical and p-adic Function Theory', organized by A. Escassut, I. Laine and C. C. Yang., January 7-10.

Chiang, Yik-Man, Halburd, R. G. (2003) "On the meromorphic solutions to an equation of Hayman", Journal of Mathematical Analysis and Applications, Volume 281, pp. 663-677.

Chiang, Yik-Man, Ismail, M.E.H. (2002) "Complex oscillation theory and special functions", Mathematical Reports of the Academy of Science of Canada, Vol. 24, pp. 117-123.

Chiang, Yik-Man, Gao, Shian (2002) "On a problem in oscillation theory of periodic second order linear differential equations and some related perturbation results", Annales Academiae Scientiarum Fennicae. Series A I. Mathematica, 27, pp. 273-290.

Chiang, Yik-Man (2001) "On Value Distribution Theory, Complex Oscillation of Differential

Equations and Bessel polynomials", Summer School/Seminar in Applied Analysis, July, City University of Hong Kong.

Jimmy C H FUNG Associate Professor

(2358 7419 ; [email protected])

PhD, University of Cambridge (1990)

Current Research Activities:

Computational fluid dynamics; turbulence; environmental studies.

Active Projects as Principal Investigator:

Numerical and laboratory experiments on fractal-generated turbulence

RGC - Competitive Earmarked Research Grant HK$300,00001 Sep 2003

Quasiparticle scattering in superfluid helium II and vortices in superfluids and superconductors in confined geometries

RGC - Direct Allocation Grant HK$53,387 01 Jan 2005

All-round development of science students through mini-lecture series

Teaching Development Grants HK$50,000 01 Oct 2004

Research on aerosol pollution and visibility reduction in Hong Kong and Pearl River Delta National Natural Science Foundation of China / Research Grants Council

Joint Research Scheme

HK$587,32401 Jan 2005

Representative Research Publications:

Huang, Jianping, Fung, Jimmy Chi Hung, Lau, Alexis Kai Hon, Qin, Yu (2005) "Numerical simulation and process analysis of typhoon-related ozone episode in Hong Kong", Journal of Geophysical Research - Atmospheres, 110 (D5): Art. No. D05301.

Fung, Jimmy Chi Hung, Lau, Alexis Kai Hon, Lam, Job Sai-Lai, Yuan, Zibing (2005)

"Observational and modeling analysis of a severe air pollution episode in western Hong Kong", Journal of Geophysical Research - Atmospheres, 110 (D9): Art. No. D09105.

Fung, Jimmy Chi Hung, Vassilicos, John Christos (2003) "Inertial particle segregation by turbulence", Phys. Rev E, 68(4), 046309-1-6.

Lau, Alexis K.H., Fung, J.C.H., Li, C.C., Wu, W.M. (2003) "Aerosol, visibility, and sustainable development over China".

Fung, J.C.H., Hunt, J.C.R., Perkins, R.J. (2003) "Diffusivities and velocity spectra of small inertial particles in turbulent-like flows", Proceedings A: Mathematical, Physical and Engineering Sciences of the Royal Society, Vol. 459, No. 2030, Issue 8, pp. 445-493.

Huang, Jason P.L., Fung, Jimmy C.H., Lau, Alexis K.H. (2002) "Study of microscale urban air dispersion by ADMS - Urban", Proceeding of Better Air Quality in Asian and Pacific Rim Cities (BAQ 2002), PS-44-1 - PS-44-6.

Sobnack, Binoy M., Matthias, John R., Fung, Jimmy C.H., Williams, Charles, D.H., Inkson, John C.

(2002) "Roton backflow and quasiparticle scattering at 4He surfaces", Physical Review B, 65(184521), 1-9.

Lam, Job, Sai Lap, Lau, Alexis, K.H., Fung, Jimmy Chi-Hung (2001) "High resolution MM5 simulations with refined land use categories for Hong Kong", The Eleventh PSU/NCAR MM5 User's workshop.

Jishan HU

Associate Professor

(2358 7434 ; [email protected])

PhD, Princeton University (1991)

Visiting Assistant Professor, West Virginia University (1990-92)

Current Research Activities:

Applied analysis; integrable systems.

Active Projects as Principal Investigator:

Hierarchical structures of the Painlev?test

RGC - Direct Allocation Grant HK$30,688 01 Jan 2004

Representative Research Publications:

Hu, Jishan, Yan, Min (2002) "A Link between two Fundamental Contributions of Kowalevski", The Kowalevski Property, CRM Proceedings & Lecture Notes, American Mathematical Society, Providence, RI.

Bing Yi JING

Associate Professor

(2358 7485 ; [email protected])

PhD, University of Syndey (1993)

Current Research Activities:

Resampling methods; asymptotic expansions.

Active Projects as Principal Investigator:

Nonparametric inference with symmetric statistics

RGC - Direct Allocation Grant HK$53,387 15 Oct 2004

Representative Research Publications:

Jing, Bing-Yi (2003) "Adjusted empirical likelihood method for quantiles", Zhou, Wang; Jing, Bing-Yi Ann. Inst. Statist. Math., Vol. 55, pp689--703.

Zhou, Wang, Jing, Bing-Yi (2003) "Adjusted empirical likelihood method for quantiles", Ann. Inst.

Statist. Math., Vol. 55, pp689--703.

Qin, Gengsheng, Jing, Bing-Yi (2001) "Censored partial linear models and empirical likelihood", Journal of Multivariate Analysis, 78, 37-61.

Wang, Qi-Hua, Jing, Bing-Yi (2001) "Empirical likelihood for a class of functionals of survival distribution with censored data", Ann. Inst. Statist. Math., 53, 517-527.

Qin, Gengsheng, Jing, Bing-Yi (2001) "Empirical likelihood for censored linear regression", Scandinavian Journal of Statistics, 28, 661-673.

Yue Kuen KWOK Senior Lecturer

(2358 7418 ; [email protected])

PhD, Brown University (1985)

Assistant Professor, West Virginia University (1985-87) Assistant Professor, San Jose State University (1987-90)

Current Research Activities:

Financial mathematics.

Active Projects as Principal Investigator:

Modeling default correlation using credit contagion approach

RGC - Competitive Earmarked Research Grant HK$297,840 01 Aug 2005

Representative Research Publications:

Min, Dai, Yue Kuen, Kwok, Lixin, Wu (2004) "Optimal shouting policies of options with reset right", Mathematical Finance, 14(3), p.383-401.

Min, Dai, Hoi Ying, Wong, Yue Kuen, Kwok (2004) "Quanto lookback options", Mathematical Finance, 14(3), p.445-467.

Lau, Ka Wo, Kwok, Yue Kuen (2004) "Anatomy of option features in convertible bonds", Journal of Futures Markets, vol. 24(6), p.513-532.

Dai, Min, Kwok, Yue Kuen (2004) "Knock-in American options", Journal of Futures Markets, vol.

24(2), p.179-192.

Dai, Min, Kwok, Yue Kuen, Wu, Lixin (2004) "Optimal shouting policies of options with reset right", Mathematical Finance, vol. 14(3), p.383-401.

Dai, Min, Wong, Hoi Ying, Kwok, Yue Kuen (2004) "Quanto lookback options", Mathematical Finance, vol. 14(3), p.445-467.

Chu, Chi Chiu, Kwok, Yue Kuen (2004) "Reset and withdrawal rights in dynamic fund protection", Insurance: Mathematics and Economics, 34(2), p.273-295.

Dai, Min, Kwok, Yue Kuen, Wu, Lixin (2003) "Options with multiple reset rights", International Journal of Theoretical and Applied Finance, vol. 6(6), p.637-653.

Kin Yin LI

Associate Professor

(2358 7420 ; [email protected])

PhD, University of California, Berkeley (1989)

Current Research Activities:

Complex function theory; Hilbert space operator theory; functional analysis.

Weiping LI

Associate Professor

(2358 7432 ; [email protected])

PhD, Columbia University (1991)

Visiting Assistant Professor, Oklahoma State University (1991-92)

Current Research Activities:

Algebraic geometry.

Active Projects as Principal Investigator:

Hilbert schemes of points on projective surfaces

RGC - Competitive Earmarked Research Grant HK$324,000 01 Dec 2002

Representative Research Publications:

Li, Wei-Ping, Qin, Zhenbo, Wang, Weiqiang (2004) "Hilbert schemes, integrable hierarchies, and Gromov-Witten theory", International Mathematics Research Notices, 2004, no. 40, p2085--2104.

Li, Wei-Ping, Qin, Zhenbo, Wang, Weiqiang (2004) "Ideals of the cohomology rings of Hilbert schemes and their applications", Transactions of the American Mathematical Society, Vol. 356 (2004), no. 1, p245--265.

Li, Wei-Ping, Qin, Zhenbo (2003) "Stable rank-2 bundles on Calabi-Yau manifolds", International journal of mathematics, Volume 14, Numbers 10.

Li, Wei-Ping, Qin, Zhenbo, Wang, Weiqiang (2003) "Stability of the cohomology rings of Hilbert schemes of points on surfaces", Journal fŸr die Reine und Angewandte Mathematik, Vol. 554, pp. 217-234.

Li, Wei-Ping, Qin, Zhenbo, Wang, Weiqiang (2002) "Vertex algebras and the cohomology ring structure of Hilbert schemes of points on surfaces", Mathematische Annalen, Vol. 324, No. 1, pp.

105-133.

Li, Wei-Ping, Qin, Zhenbo, Wang, Weiqiang (2001-2002) "Generators for the cohomology ring of Hilbert schemes of points on surfaces", International Mathematics Research Notices, 20, 1057-1074.

Li, Wei-Ping, Qin, Zhenbo, Wang, Weiqiang (2001-2002) "Hilbert schemes and W algebras", International Mathematics Research Notices, 27, 1427-1456.

Li, Wei-Ping, Qin, Zhenbo (2001-2002) "On 1-point Gromov-Witten invariants of the Hilbert schemes of points on surfaces", Turkish Journal of Mathematics, 26(1), 53--68.

Guowu MENG Associate Professor

(2358 7451 ; [email protected])

PhD, Brown University (1993)

Current Research Activities:

Physical Mathematics and Mathematical Physics

Active Projects as Principal Investigator:

Investigation of some theoretical problems arising from the interaction of mathematics and physics RGC - Competitive Earmarked Research Grant HK$233,000 01 Jan 2005

Representative Research Publications:

Meng, Guowu (2003) "A path integral derivation of chi-y-genus", J. Phys. A: Math. Gen., 36(4), 1083-1086.

Meng, Guowu (2003) "Geometric construction of the quantum Hall effect in all even dimensions", J.

Phys. A: Math. Gen., 36, 9415-9423.

Mo MU

Associate Professor

(2358 7446 ; [email protected])

PhD, Academia Sinica (1987)

Assistant Professor, Academia Sinica (1987) Research Associate, Purdue University (1987-93)

Current Research Activities:

Network computing; parallel computing; scientific simulation; numerical software; numerical solution to PDEs.

Active Projects as Principal Investigator:

Domain decomposition methods for complex flows with multiple models

RGC - Competitive Earmarked Research Grant HK$380,000 31 Dec 2002

Representative Research Publications:

Mu, Mo (2002) "A Multiple-Heaps Algorithm for Parallel Simulation of Collision Systems", Journal of Computational Physics, Vol. 179, 539-556.

Du, Qiang, Mu, Mo, Wu, Zi Niu (2001-2002) "Efficient Parallel Algorithms for Parabolic Problems", SIAM J. Numer. Anal., 39, pp. 1469 -- 1487, 2001.

Xiaoping WANG Associate Professor

(2358 7438 ; [email protected])

PhD, New York University (1990)

Current Research Activities:

Applied and computational mathematics; nonlinear partial differential equations.

Active Projects as Principal Investigator:

Advanced numerical methods for Landau-Lifshitz-Gilbert System and applications

RGC - Competitive Earmarked Research Grant HK$411,000 20 Dec 2003 Numerical simulation of propagation of ultrashort laser pulses

RGC - Direct Allocation Grant HK$53,387 01 Dec 2004

Multi-scale modeling and computation

UGC - High Impact Area HK$125,000 01 Nov 2003

Representative Research Publications:

Qian, Tiezheng, Wang, Xiaoping, Sheng, Ping (2004-2005) "Power-Law slip profile of the moving

Qian, Tiezheng, Wang, Xiaoping, Sheng, Ping (2004-2005) "Power-Law slip profile of the moving

在文檔中 Research Report 2003-04 (頁 98-130)

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