Mathematics

UC's Mathematics researchers are engaged in a number of fields including strong research interests in the area of biomathematics and computational mathematics. Our researchers are working in ring theory, geometry, combinatorics, harmonic analysis, the potential theory of differential operators and the history of mathematics.

Research strengths

Algebra, combinatorics, and logic

Areas of current research in algebra, combinatorics, and logic include:

• Algebraic groups
• Representation theory
• Clifford algebras
• Automorphism groups
• Finite geometry
• Matroid theory, combinatorial and algorithmic phylogenetics
• Constructive analysis and topology
• Cryptography
• Foundations of mathematics
• Non-classical logics
• Number theory

Research centres and groups

• Clifford Algebra Research Group

• School of Mathematics and Statistics in the College of Engineering

Researchers and supervisors

Staff actively working in these areas are:

Analysis and geometry

Areas of current research in analysis and geometry include:

• Approximation theory
• Topological geometry
• Constructive and non-classical analysis and topology
• Functional analysis (including applications to quantum theory)
• Harmonic analysis
• Partial differential equations and potential theory
• General topology
• Algebraic geometry

Research centres and groups

• School of Mathematics and Statistics in the College of Engineering

Researchers and supervisors

Staff actively working in these areas are:

Applied statistics

Applied statistics broadly covers research where statistics is being used to help solve real-world problems. Examples include:

• environmental monitoring
• risk assessment and uncertainty analysis
• medical and engineering applications
• statistical genetics.

Researchers and supervisors

Staff actively working in these areas are:

Computational mathematics

Areas of current research in computational mathematics include:

• Numerical optimisation
• Approximation theory
• Algorithms for surface approximation
• Inverse problems
• Numerical linear algebra
• Rigorous set processing

Research centres and groups

• School of Mathematics and Statistics in the College of Engineering

Researchers and supervisors

Staff actively working in these areas are:

Dynamical systems and differential equations

Areas of current research in dynamical systems and differential equations include:

• Chaotic dynamics
• Ergodic theory
• Inverse problems
• Nonlinear models in ecology and medicine
• Symmetry methods.

Research centres and groups

• School of Mathematics and Statistics in the College of Engineering

Researchers and supervisors

Staff actively working in these areas are:

Financial and industrial mathematics

Areas of current research in financial and industrial mathematics include:

• Econometrics
• Mathematical economics
• Fast surface fitting algorithms for applications in geophysics, image processing, computer graphics and custom manufacture
• Statistical design and analysis of communication systems
• Signal and image processing
• Acoustics
• Industrial applications of spatial statistics, extreme value methods and spectral analysis.

Research centres and groups

• School of Mathematics and Statistics in the College of Engineering

Researchers and supervisors

Staff actively working in these areas are:

Health

Areas of current research in health include:

• Physiological modelling
• Epidemiology
• Statistical models for clinical studies and trials and healthcare analytics

Research centres and groups

• Health research in the School of Mathematics and Statistics

Researchers and supervisors

Staff actively working in these areas are:

History and philosophy of mathematics and mathematics education

Areas of current research in history and philosophy of mathematics and mathematics education include:

• Mathematics in the ancient Near East, ancient Greece, India, and Islam with an emphasis on editing mathematical texts from these cultures from the original primary sources
• Mathematics during the Italian renaissance
• History of ancient mathematical astronomy
• Constructive and non-classical mathematics
• Foundations of mathematics
• Mathematics education in the tertiary sector
• Mathematics and communication

Research centres and groups

• School of Mathematics and Statistics in the College of Engineering

Researchers and supervisors

Staff actively working in these areas are:

Mathematical biology

Areas of current research in mathematical biology include:

• Computational molecular biology and phylogenetics
• Ecological and physiological modelling
• Statistical applications in ecology and medicine

Research centres and groups

• Biomathematics Research Centre

Researchers and supervisors

Staff actively working in these areas are:

Theoretical and computational statistics

Areas of current research in theoretical and computational statistics include:

• Stochastic processes
• Computational methods
• Bayesian inference
• Statistical genetics
• Sampling theory
• Random matrices
• Extreme value theory
• Graphical models

Research centres and groups

• School of Mathematics and Statistics in the College of Engineering

Researchers and supervisors

Staff actively working in these areas are: