Mathematics

Connected Triangles forming structure

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

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

Researchers and supervisors

Staff actively working in these areas are:

Brendan Creutz

Senior Lecturer
Jack Erskine 612
Internal Phone: 92471

Hannes Diener

Jack Erskine Rm 622
Internal Phone: 92475

Jeanette McLeod

Senior Lecturer
Jack Erskine 610
Internal Phone: 92491

Charles Semple

Professor
Jack Erskine 621
Internal Phone: 92152

Mike Steel

Distinguished Professor
International Student Co-ordinator
Jack Erskine 623
Internal Phone: 92153

Gunter Steinke

Associate Professor
Deputy Head of School
Jack Erskine 603
Internal Phone: 92426

Felipe Voloch

Professor
200-Level MATH Co-ordinator / Director of Research
Jack Erskine 723
Internal Phone: 92427

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

Researchers and supervisors

Staff actively working in these areas are:

Rick Beatson

Professor
Jack Erskine 602
Internal Phone: 92470

Brendan Creutz

Senior Lecturer
Jack Erskine 612
Internal Phone: 92471

Hannes Diener

Jack Erskine Rm 622
Internal Phone: 92475

Ngin-Tee Koh

Senior Lecturer
300-Level MATH Co-ordinator
Jack Erskine 701
Internal Phone: 92461

Gunter Steinke

Associate Professor
Deputy Head of School
Jack Erskine 603
Internal Phone: 92426

Felipe Voloch

Professor
200-Level MATH Co-ordinator / Director of Research
Jack Erskine 723
Internal Phone: 92427

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.

Within the School staff who work in this area are:

Jennifer Brown

Head of Department
Jack Erskine 400
Internal Phone: 95892

Marco Reale

Associate Professor
Financial Engineering Co-ordinator
Jack Erskine 722
Internal Phone: 92463

Blair Robertson

Senior Lecturer
Jack Erskine 713
Internal Phone: 92468

Carl Scarrott

Associate Professor
Jack Erskine 721
Internal Phone: 92472

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

Researchers and supervisors

Staff actively working in these areas are:

Rick Beatson

Professor
Jack Erskine 602
Internal Phone: 92470

Christopher Price

Associate Professor
Jack Erskine 601
Internal Phone: 92447

Blair Robertson

Senior Lecturer
Jack Erskine 713
Internal Phone: 92468

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

Researchers and supervisors

Staff actively working in these areas are:

Mark Hickman

Senior Lecturer
Jack Erskine 613
Internal Phone: 92450

Michael Plank

Professor
Jack Erskine 614
Internal Phone: 92462

Rua Murray

Associate Professor
Director of Research
Jack Erskine 604
Internal Phone: 92389

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

Researchers and supervisors

Staff actively working in these areas are:

Rick Beatson, Michael Plank, Chris Price, Marco Reale, Carl Scarrott and Phil Wilson.

Rick Beatson

Professor
Jack Erskine 602
Internal Phone: 92470

Michael Plank

Professor
Jack Erskine 614
Internal Phone: 92462

Christopher Price

Associate Professor
Jack Erskine 601
Internal Phone: 92447

Marco Reale

Associate Professor
Financial Engineering Co-ordinator
Jack Erskine 722
Internal Phone: 92463

Carl Scarrott

Associate Professor
Jack Erskine 721
Internal Phone: 92472

Areas of current research in health include:

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

Research centres and groups

Researchers and supervisors

Staff actively working in these areas are:

Jennifer Brown

Head of Department
Jack Erskine 400
Internal Phone: 95892

Michael Plank

Professor
Jack Erskine 614
Internal Phone: 92462

Carl Scarrott

Associate Professor
Jack Erskine 721
Internal Phone: 92472

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

Researchers and supervisors

Staff actively working in these areas are:

Hannes Diener

Jack Erskine Rm 622
Internal Phone: 92475

Clemency Montelle

Professor
Jack Erskine 711
Internal Phone: 92479

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

Researchers and supervisors

Staff actively working in these areas are:

Jennifer Brown

Head of Department
Jack Erskine 400
Internal Phone: 95892

Michael Plank

Professor
Jack Erskine 614
Internal Phone: 92462

Charles Semple

Professor
Jack Erskine 621
Internal Phone: 92152

Mike Steel

Distinguished Professor
International Student Co-ordinator
Jack Erskine 623
Internal Phone: 92153

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

Researchers and supervisors

Staff actively working in these areas are:

Jennifer Brown

Head of Department
Jack Erskine 400
Internal Phone: 95892

Marco Reale

Associate Professor
Financial Engineering Co-ordinator
Jack Erskine 722
Internal Phone: 92463

Blair Robertson

Senior Lecturer
Jack Erskine 713
Internal Phone: 92468

Carl Scarrott

Associate Professor
Jack Erskine 721
Internal Phone: 92472

Mike Steel

Distinguished Professor
International Student Co-ordinator
Jack Erskine 623
Internal Phone: 92153