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SPS Talk Interests of 63 Mathematics Faculty

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Presentation on theme: "SPS Talk Interests of 63 Mathematics Faculty"— Presentation transcript:

1 SPS Talk Interests of 63 Mathematics Faculty http://ww1.math.nus.edu.sg/staff.aspx

2 ASLAKSEN, Helmer ASLAKSEN, Helmer Differential geometry, Lie groups, astronomy, mathematics in art BAO Weizhu Bose-Einstein condensation, multiscale modelling and simulation, CFD, numerical analysis/scientific computing BERRICK, A Jon Algebraic topology, K-theory, cohomology of groups CHAN Heng Huat Analytic number theory, basic hypergeometric series, elliptic functions, modular forms and modular equations, applications of modular equations CHEN Hsiao Yun, Louis Applied probability, Stein’s method, computational biology CHEN, Oliver Financial mathematics with a concentration on credit risk and derivative pricing CHEW Tuan Seng Nonabsolute integrals and their applications, The Riemann approach to integration in infinite-dimensional spaces CHIN, CheeWhye Arithmetic algebraic geometry, automorphic representations, L- functions. CHOI Kwok Pui Martingale inequalities, Poisson approximation, Prophet inequalities CHONG Chi Tat Recursion/Computability Theory CHU Delin Scientific and parallel computing, numerical linear algebra and numerical analysis, systems and control CHUA Seng Kee Sobolev spaces, Fourier analysis, classical real analysisSobolev spaces, Fourier analysis, classical real analysis DAI Min Financial mathematics, applied partial differential equations, numerical analysis and scientific computation FENG Qi Set theory GOH Say Song Wavelet theory and applications, univalent functions BAO Weizhu BERRICK, A Jon CHAN Heng Huat CHEN Hsiao Yun, Louis CHEN, Oliver CHEW Tuan Seng CHIN, CheeWhye CHOI Kwok Pui CHONG Chi Tat CHU Delin CHUA Seng Kee DAI Min FENG Qi GOH Say Song

3 HINZ, JuriHINZ, Juri Asset pricing theory, arising from applications to energy related commodities, services and permissions JI Hui computer vision, visual psychophysics, robotic navigation JIN Hanqing Mathematical finance, operation research, and stochastic analysis KOH Khee Meng Partially ordered sets, lattice theory, graph theory LANG Mong Lung Finite group theory LAWTON, Wayne M Geometric and Harmonic Analysis, Mathematical Physics, Systems Engineering LEE Seng Luan Spline functions, wavelet theory and applications LEE Soo Teck Representation theory LEONG Yu Kiang Asymptotic analysis of matrix products, history of the genesis of modern mathematical ideas LEUNG Ho Hon, Denny Banach spaces, Banach lattices LEUNG Ka Hin Ordered rings, ring theory, quadratic forms, combinatoric designs LEUNG Man Chun Partial differential equations, Riemannian geometry, analysis on manifolds LEUNG Pui Fai, Fred Differential geometry LIN Ping Scientific computing and numerical analysis, computational fluid mechanics, atomistic-to-continuum modeling and analysis, ordinary and partial differential equations with constraints, singular perturbation LOKE Hung Yean Number theory, representations of Lie groups LOU Jiann Hua Limit theorems and inequalities in probability, self-similar processes, Brownian excursion JI Hui JIN Hanqing KOH Khee Meng LANG Mong Lung LAWTON, Wayne M LEE Seng Luan LEE Soo Teck LEONG Yu Kiang LEUNG Ho Hon, Denny LEUNG Ka Hin LEUNG Man Chun LEUNG Pui Fai, Fred LIN Ping LOKE Hung Yean LOU Jiann Hua

4 MA Siu Lun, LeoMA Siu Lun, Leo Combinatorial designs and difference sets, binary sequences and arrays, algebraic combinatorics, Hadamard matrices McINNES, Brett T Applications of differential geometry in cosmology, particle theory, string theory NATARAJAN Karthik Operations research, Optimization under uncertainty NIEDERREITER, Harald Coding theory, cryptology, numerical analysis, simulation methods, number theory, finite fields, discrete Mathematics, applied algebra PANG Yu Hin, Peter Differential geometry, differential equations POH Kheng Siong, Roger The closed-set lattice of a graph, the path-chromatic numbers of graphs QUEK Tong Seng Commutative harmonic analysis SHEN Zuowei Approximation theory, wavelet theory and applications, mathematical Imaging STEPHAN, Frank Theoretical computer science and mathematical logic SUN Defeng Optimization, operations research SUN Yeneng Analysis, probability theory and their applications in economics and finance TAN Choon Ee, Roger Extrapolation methods, finite and continuous perturbations of matrix, eigensystems, numerical analysis TAN Eng Chye Representation theory of Lie groups and Lie algebras, invariant theory TAN Hwee Huat Geometric modelling, wavelet theory and applications TAN Kai Meng Representation theory of symmetric groups and related algebras TAN Ser Peow Geometric topology, geometric structures on manifolds McINNES, Brett T NATARAJAN Karthik NIEDERREITER, Harald PANG Yu Hin, Peter POH Kheng Siong, Roger QUEK Tong Seng SHEN Zuowei STEPHAN, Frank SUN Defeng SUN Yeneng TAN Choon Ee, Roger TAN Eng Chye TAN Hwee Huat TAN Kai Meng TAN Ser Peow

5 TAN, VictorTAN, Victor Automorphic forms and representations, algebraic number theory, modular forms and elliptic functions, combinatorial designs and difference sets TANG Wai Shing Operator theory and operator algebras, wavelet analysis TAY Tiong Seng Rigidity of structures, combinatorics TAY Y.C. Performance modeling, distributed computing, database systems TO Wing Keung Differential geometry, several complex variables TOH Kim Chuan Scientific computing, numerical optimization WONG Yan Loi Low-dimensional topology WU Jie Algebraic topology-homotopy theory, combinatorial group theory, Hopf algebras, configuration spaces, modular representation theory XING Chaoping Number theory, algebraic curves, coding and cryptography, Quasi- Monte Carlo methods XU Xingwang Partial differential equations, geometric analysis YANG Yue Recursion theory, Models of arithmetic YIP, Andy M Variational PDE methods in image restoration, data mining algorithms ZHANG De-Qi Algebraic geometry ZHANG Louxin Applied discrete Mathematics, theoretical computer science, computational Biology and Bioinformatics ZHAO GongYun Game theory, operational research ZHU Chengbo Representation theory of Lie groups TANG Wai Shing TAY Tiong Seng TAY Y.C. TO Wing Keung TOH Kim Chuan WONG Yan Loi WU Jie XING Chaoping XU Xingwang YANG Yue YIP, Andy M ZHANG De-Qi ZHANG Louxin ZHAO GongYun ZHU Chengbo

6 Challenges so many interests so many colleagues specialized jargon

7 Mathematics (physics, chemistry, biology) differs from both empirical sciences and observational sciences (geology, meteorology, astronomy) in its deductive methodology.

8 Mathematics Computation deals with two subjects : and Shape

9 Computation numerical analysis scientific computing statistics probabilities combinatorics financial prices functions : splines and wavelets functions : splines & wavelets signals and image processing differential equations Fourier analysis robotics recursion theory algebra logic set theory

10 Shape - Geometry Algebraic (Analytic) Classical (Synthetic) Convex Geometry (Game Theory, Linear Programming) Differential Complex (Analysis) Topology – General and Algebraic Banach Spaces Arithmetic Geometry Lie Groups and Symmetries


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