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Introduction to Mathematical Research

The twenty-first century has brought with it great opportunities for the mathematical sciences. Today many areas of science, engineering, medicine, business, national defence and social science rely on ideas, techniques and skills borrowed from the mathematical sciences domain. They include the modelling and analysing of complex systems, computer simulations and analysis of massive amounts of data.

Mathematical sciences are playing an increasingly important role in our daily life, enabling activities such as internet search, online banking, computer animation, weather forecasting, medical imaging, optimisation in business and military, stock control and analyses of financial risks. Due to its fundamental nature, mathematics play a unique, central role in the educational mission of any major university. This is a special responsibility that has been placed on us, and, collectively, as a division, we have strived to fulfil this mission well.

We are proud of our highly active research faculty, which has allowed us to be successful in attracting competitive research funding. Research findings by our faculty members have been published in prestigious journals, and they are regularly invited to speak at premier conferences. This has contributed toward fostering a vibrant research culture at the Division of Mathematical Sciences, attracting a steady stream of visitors calling on our department and seeking collaboration with our faculty members. We also organise workshops and conferences on a regular basis.​

The Division of Mathematical Sciences has over 35 full time faculty members, 15+ visiting/adjunct/associate faculty members, 30+ postdoctoral and postgraduate researchers, and 30+ graduate students. We are extremely active in many fields of pure and applied mathematics research, including:

  • Pure Mathematics – number theory, geometry, algebra, analysis, topology, random matrix theory, probability
  • Coding and Cryptography – algebraic coding theory, network coding, cipher design, secure multiparty computation, cryptanalysis
  • Computational Mathematics – algorithm design, communication complexity, quantum computing, models of computation, algorithmic information theory, computability theory
  • Applied Mathematics and Statistics – optimization in operations research, multiscale modeling methods, multivariate analysis, stochastic analysis, financial mathematics, applications to biology

To learn more, please read about the research highlights from our division, and about our recent publications. Please also visit the homepages of our individual faculty members to learn about their research interests.