Introduction to Mathematical Research


The twenty-first century has brought with it great opportunities for the mathematical sciences. Many areas of science, engineering, medicine, business, national defence and social science now rely on ideas and techniques based on the mathematical sciences. These include the modelling and analysing of complex systems, computer simulations and analysis of massive amounts of data. Due to its fundamental and pervasive nature, mathematics plays a unique, central role in the education and research mission of any university.

Our faculty have been highly successful in attracting competitive research funding, publishing in prestigious journals, and speaking at premier research conferences. The Division of Mathematical Sciences fosters a vibrant research culture, attracting a steady stream of visitors and international collaborators.

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 view our recent publications. Please also visit the homepages of our individual faculty members to learn about their research interests.