Research Categories

Mathematics

This category covers:

  • Algebraic Geometry
  • Bioinformatics
  • Biostatistics
  • Coding Theory
  • Combinatorics
  • Computational Biology
  • Cryptography
  • Data Compression
  • Discrete Mathematics
  • Finite Element Method
 
  • Finite Geometry
  • Group Theory
  • Image Processing
  • Information Security
  • Information Theory
  • Lie Algebra
  • Number Theory
  • Optimisation
  • Scientific Computations And Numerical Analysis
  • Statistics
  • Time Series

Related Links:
Division of Mathematical Sciences, School of Physical & Mathematical Sciences

NameResearch Interests
Prof Alfred M BrucksteinVariational Methods in Image Analysis and Synthesis, Multi A(ge)nt Robotics and Applied Geometry
Assoc Prof Andrew James KrickerProf. 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 TeongW. T. Ang's general research interest is in applied and engineering mathematics. Specific research topics that he has worked on include boundary integral equation methods, 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.
Asst Prof Arindam BasuLow-power Reconfigurable Mixed-signal design, Neural recording systems, Computational neuroscience, Nonlinear dynamics, Smart sensors for hearing-aids/ultrasound etc, Neuromorphic VLSI
Asst Prof Bei XiaohuiComputational economics, social networks analysis and general algorithm design.
Assoc Prof Bernhard SchmidtFinite Geometry Coding Theory Algebraic Number Theory Computing
Assoc Prof Chan Song HengDr 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.
Prof Chee Yeow Meng1) 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.
Assoc Prof Chen NingAlgorithmic Game Theory and Computational Economics Algorithmic and Economic aspects of the Internet Algorithms and Combinatorial Optimization
Asst Prof Cheung Sai Hung-Catastrophe risk modeling, analysis, mitigation and management due to natural disasters and man-made hazards -Reliability, Risk engineering and science -Stochastic dynamics -Complexity science -Earthquake engineering, Performance-based engineering -Sustainable urban planning and development -Climate Change Impact Studies -Optimal decision making, design and control under uncertainty -Uncertainty quantification, System identification -Structural health monitoring