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
Asst Prof Abdulkadir C. Yucel(i) Fast frequency and time domain electromagnetic simulators with applications to the VLSI/microwave/terahertz circuits, biomedical, photonics, wireless channel characterization in tunnels, and analysis of inhomogeneous negative permittivity media. (ii) Uncertainty quantification for electromagnetic analysis on complex platforms
Prof Alfred M BrucksteinVariational Methods in Image Analysis and Synthesis, Multi A(ge)nt Robotics and Applied Geometry
Dr Anders GustavssonMathematics: Potential Theory and its application in rational and harmonic approximation. Mathematics Education: Is Team Based Learning effective in teaching mathematical reasoning.
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 Ariel David NeufeldHis research focuses on: -Machine Learning Algorithms in Finance and Insurance -Model Uncertainty in Financial Markets -Annuity Contract Theory -Financial & Insurance Mathematics -Stochastic Analysis & Stochastic Optimal Control
Assoc 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.
Prof Bernhard SchmidtFinite Geometry Coding Theory Algebraic Number Theory Computing
Assoc Prof CHUA Chek BengProf. 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.