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Faculty This site

Mathematics

Name	Research Interests
Prof Alfred M Bruckstein	Variational Methods in Image Analysis and Synthesis, Multi A(ge)nt Robotics and Applied Geometry
Asst Prof Andrew James Kricker	Prof. Kricker's most significant research interest lies in the mathematical ramifications of current developments in mathematical and theoretical physics. To be precise, he is interested in the ramifications of certain developments in quantum field theory and quantum gravity in the fields of topology, algebra, and combinatorics. Prof. Kricker's particular speciality is in so-called "quantum topological invariants". These are invariants of knots, 3-manifolds, and various other low-dimensional topological structures, that arise from Topological Quantum Field Theories. More generally, he has a considerable general interest in the fields that surround this topic: knot theory, the theory of low-dimensional manifolds, Lie algebras, Hopf algebras, representation theory, homological algebra, algebraic combinatorics, and so on.
Assoc Prof Ang Whye Teong	W. T. Ang's research interest is in the general area of applied and engineering mathematics. Specific research topics which he has worked on include the boundary integral equation method, stress analysis around cracks, heat transfer with applications to modern engineering and biological systems, analyses of advanced materials (such as functionally graded materials and piezoelectric materials) and non-classical boundary value problems in physical and engineering sciences.
Assoc Prof Bernhard Schmidt	Finite Geometry Coding Theory Algebraic Number Theory Computing
Assoc Prof Bogdan Jaroslaw Falkowski	Assoc. Prof. Bogdan J. Falkowski's areas of expertise are Electronic Design Automation Tools and Systems for Digital Logic Design and Optimization, Spectral and Discrete Representations of Multiple-Valued and Binary Functions, Design of Algorithms and Discrete Transforms, Design for Testability, Simulation, and Verification, Digital Signal and Image Processing Algorithms and Implementations in ASICs and FPGAs, Biomedical Image Compression and Watermarking.
Asst Prof Chan Song Heng	Dr Chan's areas of expertise are Number Theory, Combinatorics, and Special functions. His current research works focus on sums of squares formula, the partition function and various related functions, and q-series which includes modular forms, theta functions, and basic hypergeometric series.
Assoc Prof Chee Yeow Meng	1) Combinatorics of Nanotechnology: low-power design, thermal-aware design, crosstalk issues, testing of deep submicron & nanometer-scale circuits, oligonucleotide sequence design for DNA computing, quantum error-correcting codes. 2) Designs, Codes & Cryptography: triple systems, block designs, pairwise balanced designs, group divisible designs, t-designs, Latin squares, error-correcting codes, erasure-resilient codes, codes for nonconventional channels, combinatorial cryptography, algorithms & computational methods, applications in computer science, engineering & biology. 3) Extremal Set Systems: Turan-type problems, packings & coverings, cover-free systems, nonadaptive group testing, applications in computer science, engineering & biology.
Asst Prof Chen Ning	Algorithmic Game Theory and Computational Economics Algorithmic and Economic aspects of the Internet Algorithms and Combinatorial Optimization
Asst Prof Chen Tao	Dr Chen Tao's areas of expertise are chemometrics, i.e. statistical modeling and analysis of chemical and analytical data. His current research focuses on data-based process fault detection and diagnosis, experimental design and optimization, adaptive filtering and data reconciliation, model identification and parameter estimation, and multivariate calibration of analytical sensors.
Asst Prof Chen Xin	Computational Biology and Bioinformatics, Microbial Genomics, Data Compression, Algorithm Design and Analysis
Asst Prof Chew Lock Yue	Dr Chew research interest is to explore, investigate and uncover the fundamental physical mechanisms and organization principles within complex systems and their dynamics, through the paradigm of statistical and nonlinear physics. His current research focus is on the topic of: quantum-classical correspondence in the entanglement dynamics of coupled systems, the statistical physics of alpha helix to beta-sheet transitions in protein folding, self-organization in dusty plasmas and BEC, and weak signal detection by an array of multiply coupled stochastic resonators.
Assoc Prof Chu Yun Chung	Chu Yun Chung's research interests are fundamental control theory and artificial neural networks, with applications to spacecraft, power systems and probabilistic computing. He was the principal investigator of the funded project "Attitude Control of Micro-Satellites" (AcRF RG9/00, S$122,673) in 2000-04. Currently Chu Yun Chung is the principal investigator of the project "Nanosatellite Attitude Determination and Control System" (AcRF RG6/06, S$95,912.70) and the co-principal investigator of the project "Optimization and Design Methodology for Probabilistic Elementary Computing" (ISNE, S$350,000.00).
Asst Prof Chua Chek Beng	Prof. Chua studies the theory of continuous optimization, and develops efficient solution methods for several types of optimization models. He has designed and analyzed interior-point algorithms for semidefinite optimization, symmetric cone optimization and homogeneous cone optimization. He studies the possibility of applying homogeneous cone optimization on various problems where semidefinite optimization models are used. This study is partly driven by the possible reduction in the size when semidefinite optimization models are solved as homogeneous cone optimization problems, hence allowing large-scale problems to be solved via homogeneous cone optimization. He also investigated and proved several properties of the primal-dual central paths for semidefinite optimization and homogeneous cone optimization. These properties are useful in the study of local convergence behaviour of path-following algorithms.
Assoc Prof Damodaran Murali	Research Focus Areas: Aerospace Engineering Computational Fluid Dynamics Aerodynamics Flight Mechanics Aerodynamic Design Optimisation High Performance Computing Fluid-Structure Interaction Reduced Order Modelling Techniques Current research interests are focused on 1. Computational Modelling of Low Reynolds Number Rigid and Flexible Flapping Wing Aerodynamics 2. Integrated Model for CFD, Aerodynamics and Flight Mechanics (with RSAF) 3. Hybrid CFD models encompassing continuum and dicrete flow models New projects to be initiated from 2008 onwards: 1. Helicopter-Ship Interface Dynamic Modelling (with RSAF) 2. Numerical Effects of Missile Wakes on Aircraft Structures (with RSAF) 3. Virtual Flight Testing using High Fidelity CFD and Multi-body Dynamics (with USAFA) 4. Plasma Actuators for Aerodynamic Drag Reduction (with USAFA) 5. Computational Modelling for Estimating the Performance of an Underwater Renewable Energy System for Power Generation (with Atlantis)
Asst Prof David Henry Adams	Mathematical and theoretical aspects of quantum field theories; lattice gauge theory; discretization of Atiyah-Singer index theory
Asst Prof Dmitrii V Pasechnik	Dr. Pasechnik's research interests are in combinatorics, optimisation, algebra, real algebraic geometry, and symbolic computing.
Asst Prof Edith Elkind	Algorithmic game theory, computational social choice, algorithms and complexity
Assoc Prof Fan Hui	Prof. Fan has been conducting research in the area of solid mechanics for over 20 years. His publications touched topics: fracture mechanics, mechanics of composites, micromechanics of defects in the solids, and multi-physics.
Asst Prof Frederique Elise Oggier	Dr Oggier's research interests are in applications of algebra and number theory to coding and security.
Asst Prof Fu Haifeng	Game theory, Probability theory and its application to economics
Prof Fung Tat Ching	Prof Fung's areas of expertise are Computational Mechanics and Structural Engineering. His current research works focus on structural behaviour of tubular joints and the design of higher order time-step integration algorithms.
Assoc Prof Ho Moon-Ho Ringo	Assoc Prof Ho Moon-ho's research interests are concerned with the development and application of quantitative methods, in particular, multilevel modeling, resampling methods, structural equation modeling, and time-series analysis in the neural and behavioral sciences. His current research work focuses on neuroinformatics research, in particular, the theoretical development and applications of multivariate time series analysis method for extracting meaningful information from complex brain imaging data.
Assoc Prof Huang Weihong	Dr. Huang has wide research interests ranging from microeconomics, industrial organization, financial economics, public economics to nonlinear economic dynamics. Recently, Dr Huang has devoted much time and effort to reexamine the economic behaviors from the perspective of ancient Chinese philosophy. In recent years, he has devoted his most effort in incorporating ancient philosophical wisdom to the analysis of the economic behaviors.
Assoc Prof Hui Siu Cheung	Assoc Prof Hui Siu Cheung's areas of expertise are data mining, Web mining, information retrieval, natural language processing, mathematical data mining, intelligent tutoring systems and Semantic Web. His current research works focus on information retrieval, text mining, natural query processing and Semantic Web.
Asst Prof (Adj) Khoo Khoong Ming	My interest is on applications of Mathematics to Cryptography. My current focus is on Symmetric Cryptography, specifically: Cryptographic Boolean Functions, Stream Ciphers and Block Ciphers.
Asst Prof Koh Tieh Yong	Tieh Yong's main research activity in the last few years involves the verification and adaptation of the Coupled Ocean-Atmosphere Mesoscale Prediction System (COAMPS) for Southeast Asia. The aims are to improve numerical weather forecast capability in the equatorial tropics (by way of the application of science to the betterment of society) and to use mathematical and computational models as research tools to investigate tropical weather and climate, moist convection, boundary-layer turbulence and pollutant dispersion. Tieh Yong's research interests cover the following topics: Geophysical Fluid Dynamics, Tropical Meteorology, General Circulation, Mixing and Transport in the stratosphere and troposphere at global and regional scales. Please see the homepage above for up-to-date information.
Assoc Prof Kwoh Chee Keong	Development of a Computer Prediction System For Rational Design Of HLA-Based Peptide Vaccine; Data Mining and Analysis on Infectious Disease Heterogeneous Multi-Core Systems For Bioinformatics Constrained Optimzation for Bioinformatics Protein Interaction Network Analysis Using Graph Mining Approaches
Assoc Prof Lam Chung Yau	A/P Lam's current research works focus on fluid mechanics and e-learning.
Asst Prof Lee Kijoon	His research interest is over a broad area of interaction of light with human tissue, with the application in medical imaging in mind. Main research field is diffuse optical tomography (DOT) and its variants such as fluorescence diffuse optical tomography (fDOT) and bioluminescence tomography (BLT). He is experienced in both instrumentation and numerical image reconstruction, and is actively performing research on building a clinical imaging device for breast cancer screening.
Asst Prof Leon Chuen Hwa	Dr. Leon current research interests are in the areas of asset pricing, financial modeling, investment, portfolio and risk management.
Asst Prof Li Ka Ki Jackie	Stochastic loss reserving, risk margins, copulas, MCMC simulation, and other property/casualty insurance issues
Asst Prof Lian Heng	Asst Prof Lian Heng?s areas of expertise are Pattern recognition and machine learning, Bayesian analysis with applications to biological and financial data, functional modeling.
Assoc Prof Lin Zhiping	Dr Zhiping Lin's research interests include multidimensional systems and signal processing, array and radar signal processing, and biomedical signal processing.
Prof Ling San	1. Applications of algebra and number theory to combinatorial designs, coding theory, cryptography and sequences 2. Arithmetic of modular curves and Galois representations
Assoc Prof Low Chor Ping	Combinatorial Optimization, Design & Analysis of Algorithms, Network Performance Modeling & Analysis, Algorithmic Graph Theory.
Assoc Prof Luo Fang Lin	A/Prof Luo's areas of expertise are DC/DC Converters, Energy Factor/Mathematical modeling and Digital power Electronics. His current research works focus on AC/DC, DC/DC, DC/AC and AC/AC Converters, Renewable Energy sources and Microgrid Energy management Systems. Dr. Luo has invented more than 100 novel topologies of power DC/DC converters, including the well-known series Luo-Converters: Positive/Negative/Double Output Luo-Converters. These converters implementing the voltage-lift technique have high voltage transfer gain on stage-by-stage in arithmetical process, up to hundreds times. Dr. Luo has also created Super-Lift Luo-Converters: Positive/Negative Output Super-Lift Luo-Converters, Positive/Negative Output Cascaded Boost Converters. These converters implementing the super-lift technique have very high voltage transfer gain on stage-by-stage in geometrical process, up to thousands times. They also have advantages of high efficiency, simple structure and low cost. All converters are introduced in his book "Advanced DC/DC converters". Dr. Luo has also developed other types of converters such as the Multi-Quadrant Luo-Converters, Ultra-list Luo-converter, positive/negative output Multiple-Lift Push-Pull Switched-Capacitor Luo-Converters and Cascade Double Gamma-CL Current Source Resonant Inverter. The investigations on DC/DC converters mainly concentrate in the steady state analysis. The dynamic process analyses rely on the mathematical models of the DC/DC converters. Establishing the mathematical modeling is the historic problem accompanying the development of power DC/DC converters. Many people devoted in this area since 1940's. Unfortunately, no proper modeling is recognized and suitable for all power DC/DC converters. Dr. Luo revealed the energy storage in power DC/DC converters and defined the new parameter: Energy Factor (EF). Using this new concept, he has proposed general mathematical modeling of power DC/DC converters, and the corresponding transfer function in a second-order form. He successfully solved the historic problem and well described the characteristics of power DC/DC converters. This new theory and transfer function are very good to describe the dynamic process of DC/DC converter performances. Simulation and experimental results verified his new theory and transfer function. This is a milestone contribution in DC/DC conversion technology. Dr. Luo applied digital control methodology into power electronics - the new theory "Digital Power Electronics". He introduced the mathematical models: the zero-order-hold (ZOH), first-order-hold (FOH) and second-order-hold (SOH) in Digital Power Electronics. He uses the zero-order-hold (ZOH) to simulate all AC/DC converters, the first-order-hold (FOH) to simulate all DC/AC inverters and AC/CC converters, and successfully described the characteristics of the control systems with switching circuitry. All knowledge is introduced in his new book "Digital Power Electronics and Applications".
Asst Prof Luo Jun	- Wireless Networking - Network Modeling and Performance Evaluation - Applied Operations Research - Network Security
Asst Prof Pan Guangming	Assistant Professor Pan Guangming's areas of expertise are random matrices theory, limiting theorem and multivariate analysis.
Asst Prof Pang Zhen	He is interested in developing methods for the multivariate, dependent and non-linear data. His current research emphasises on the correlated multivariate binary data analysis from developmental toxicity studies, bootstrapping data with multi-levels of variations, robust methods, survey methodology and generalized linear mixed models.
Asst Prof Pina Marziliano	Pina Marziliano's research interests include: sampling theory, signal processing applications in communications and biomedical engineering, watermarking and perceptual quality metrics for multimedia. Current Research Projects - Sampling Theory and Applications in Biomedical Engineering - Automatic Detection and Prediction of Seizures in Neonates
Assoc Prof (Adj) Poh Eng Kee	Assoc Prof (Adj.) Dr Poh Eng Kee specializes in guidance, navigation, control and signal processing. His areas of research focus on advanced navigation and control design for unmanned aerial vehicles and autonomous underwater vehicle, satellite formation control and communication, GPS receiver design and algorithms.
Asst Prof (Adj) Quek Quee Seng, Tony	Main research interests are the application of mathematical, optimization, and statistical theories to communication, networking, detection, information theoretic and resource allocation problems. Specific current research topics include cooperative networks, interference management, wireless security, wireless multimedia systems, compressed sensing, and computer vision.
Prof Rajapakse Jagath Chandana	Professor Rajapakse's areas of expertise are machine learning, brain imaging, and computational and systems biology. Professor Rajapakse has pioneered several techniques for analysis of anatomical and functional MR images. His team was the first to develop techniques to model brain connectivity in an exploratory manner, using functional MR images. Presently, his team is investigating brain connectivity patterns underlying higher-order brain functions such as language and memory, and brain disease such as Parkinson's disease. He is also working on potential applications of brain connectivity and constrained independent component analysis (cICA) in Brain Computater Interface applications, especially in identifying different mental states and extracting features robust to inter- and intra-subject variations. Professor Rajapakse is presently working on identifying key targets in biological pathways. His research is centered on identifying co-regulated genes, building gene regulary networks, fusion of protein-interactions, and identifying key molecules and core networks in pathways. His team also develops techniques to segment cells and nuclei, identify protein subcellular localizations, and model spatiotemporal changes of cell morphologies from cellular images obtained from electron microscopy and high content screening.
Assoc Prof Ramakrishna Kakarala	1) Computational photography: high dynamic range acquisition, composition analysis, affective imaging. 2) Multiresolution linear algebra: Singular value decomposition, matrix factorization 3) Smart sensors: Image sensor applications for metrology
Assoc Prof Shu Jian Jun	Associate Professor Jian-Jun SHU's areas of expertise are Thermo-Fluid Mechanics, Applied Mathematics and Biophysics. His current research works focus on Nano/Micro Fluids, DNA/Protein Modelling and Mathematical Strategame Theory.
Assoc Prof Sinai Robins	Assoc Prof Robins' research interests include the following fields: Discrete geometry, combinatorial geometry, combinatorial number theory, polytopes and their discrete volumes, and applications of Fourier analysis to polyhedral questions. His current research focuses on computing various different forms of discrete volumes for polytopes, with applications to number theory.
Assoc Prof Tai Xue-Cheng	1) Domain decomposition methods for elliptic and parabolic partial differential equations. 2) Parallel operator splitting methods for partial differential equations 3) Inverse problem (or called distributed parameter identification problems) and their error estimates 4) Image analysis and level set related methods. 5) Optimization techniques
Assoc Prof Tan Eng Leong	Computational electromagnetics/optics/acoustics - FDTD, ADI/LOD/SS, fundamental implicit schemes; RF/Microwave IC; SAW/BAW; Photonic crystals, phononic crystals
Asst Prof Tsang Wai Hung, Ivor	Prof Wai-Hung Tsang's areas of expertise are machine learning, data mining, and large scale optimization and numerical methods. His current research works focus on kernel methods, support vector machines, ensemble learning, semi-supervised learning, transfer learning and multiple instance learning, and their applications in Internet vision, computer vision, multimedia retrieval, information extraction and pattern recognition.
Asst Prof Viet Ha Hoang	Assistant Professor Hoang Viet Ha ares of expertise is multiscale problems, multiscale computations, homogenization, random partial differential equations. Currently he is working on some computational problems for multiscale problems using sparse finite elements and wavelet.
Asst Prof Vinay Kumar Kariwala	plant-wide control, decentralized control, integer programming, fundamental control limitations, diagnosis of plant-wide oscillations, monitoring of crystallization processes
Assoc Prof Vladimir Vladimirovich Kulish	Prof. Kulish's main research interest is in the area of mathematical modeling of energy-informational transport processes and transport phenomena in biological systems.
Asst Prof Wang Desheng	His research interests include Interactive Digital Media, numerical analysis and scientific computing, computational biomedical engineering and computational EM, computational geometry, computational graphics and vision.
Assoc Prof Wang Huaxiong	Cryptography Information Security, Coding Theory, Combinatorics, Theoretical Computer Science
Assoc Prof Wong Jia Yiing, Patricia	Dr Wong has vast research experience in differential equations, difference equations, integral equations, dynamic equations on time scales, as well as numerical mathematics and inequalities. In the earlier years, Dr Wong worked in the fields of numerical mathematics and inequalities, particularly in splines and error inequalities of polynomial interpolation. The work done is documented in the monograph [1]. Later she has been working on differential and difference equations, focusing on the oscillatory behaviour and also the existence of solutions under various boundary conditions. Recently, in addition to differential and difference equations, Dr Wong also works on integral equations, as well as dynamic equations on time scales, which include differential and difference equations as special cases. The results of the recent work, particularly on the existence of solutions of boundary value problems, have applications to a wide spectrum of physical problems. The work is ongoing, those completed till 1998 is documented in the monographs [2] and [3]. Dr Wong has published 3 monographs and more than 120 research papers in international refereed journals. Presently, Dr Wong serves on the editorial board of Advances in Difference Equations (USA), Journal of Inequalities and Applications (USA), and Advances in Dynamical Systems and Applications (USA). 1. Agarwal, R.P. & Wong, P.J.Y. Error Inequalities in Polynomial Interpolation and their Applications. Kluwer Academic Publishers, Dordrecht (1993), 365 pp. 2. Agarwal, R.P. & Wong, P.J.Y. Advanced Topics in Difference Equations. Kluwer Academic Publishers, Dordrecht (1997), 507 pp. 3. Agarwal, R.P., O'Regan, D. & Wong, P.J.Y. Positive Solutions of Differential, Difference and Integral Equations. Kluwer Academic Publishers, Dordrecht (1999), 417 pp. 4. Wong, P.J.Y. Three fixed-sign solutions of system model with Sturm-Liouville type conditions. Journal of Mathematical Analysis and Applications, USA (2004), 298: 120 - 145. 5. Wong, P.J.Y. Multiple fixed-sign solutions for a system of difference equations with Sturm-Liouville conditions. Journal of Computational and Applied Mathematics , Netherlands (2005), 183: 108 - 132.
Asst Prof Wu Guohua	Theory and Models of Computation, Recursion Theory, Complexity Theory, Mathematical Logic
Asst Prof Wu Shin-Yi	Dr. Wu's research interests include strategic pricing of information goods and services, telecommunications and efficient allocation of wireless network resources, economics of electronic markets and business, and strategic use of IT and management of IT/IS.
Assoc Prof Wu Yuan	Prof Wu's research interests are in Actuarial Science, Data Mining, Application of Statistics to Business and Finance, and Traffic Accidents Analysis.
Asst Prof Xiang Liming	Dr. Xiang Liming's areas of expertise are clustered/longitudinal data analysis, survival analysis, robust estimation, statistical diagnostics, biostatistics and statistical quality control. Her current research work focuses on robust approaches for finite mixture with random effects and survival analysis.
Prof Xing Chaoping	Algebraic curves over finite fields; application of algebraic geometry and number theory to block coding, quantum coding, space-time coding, cryptograpgy and quasi-Monte Carlo methods; lattice packings.
Assoc Prof Yao Shuntian	Game Theory, Mathematical Economics, Differential Equations, China's Economic Reforms.
Asst Prof Zhang Lei	Prof Lei Zhang's area of expertise is in empirical corporate finance. His current research works focus on mergers and acquisitions, capital structure, IPOs and financial intermediaries.
Asst Prof Zhao Liangyi	My research interests include the theories of large sieve, mean-value type theorems, exponential sums, character sums, L-functions, sieve methods, elliptic curves and automorphic forms.
Asst Prof Zheng Jianmin	Dr Zheng's areas of expertise are computer aided geometric design and computer graphics. His current research work focuses on T-splines, subdivision surfaces, interactive digital media processing, and sketch-based modeling.

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