Global Utilities

La Trobe University
Department of Mathematics and Statistics

Staff Research Interests

Professors

  • Brian A. Davey

    Email: B.Davey@latrobe.edu.au

    • Universal algebra and lattice theory: topological representation of algebras, with particular emphasis on natural duality theory; applications of duality theory to algebras with an underlying distributive lattice structure.
  • Reinout Quispel

    Email: R.Quispel@latrobe.edu.au

    • Dynamical systems: from chaos theory to integrable systems. Scientific computing: in particular, the “geometric numerical integration” of differential equations. Applied mathematics: traffic problems and mathematical biology.
  • Robert Staudte

    Email: R.Staudte@latrobe.edu.au

    • Statistical inference: in particular, distribution-free and robust statistics, and the foundations of statistics with applications to meta-analysis.

Readers and Associate Professors

  • Grant Cairns

    Email: G.Cairns@latrobe.edu.au

    • Differential geometry, particularly the dynamics of group actions, Lie algebra cohomology, topological graph theory and combinatorial game theory.
  • Paul Kabaila

    Email: P.Kabaila@latrobe.edu.au

    • Statistical inference: Frequentist confidence intervals and prediction intervals utilizing uncertain prior information. The effect of preliminary model selection on confidence intervals. Prediction intervals for time series.
  • Geoff Prince

    Email: G.Prince@latrobe.edu.au

    • Applied differential geometry: in particular, the use of jet bundle techniques and exterior differential systems in the study of differential equations arising in mathematics and mathematical physics.
  • John W. Schutz

    Email: J.Schutz@latrobe.edu.au

    • Axiomatic systems for space-times and geometries.  Fluctuations of the electromagnetic field.  Foundations of mechanics: relativistic and classical, dynamics of the electron.
  • Simon J. Smith

    Email: S.Smith@latrobe.edu.au

    • Approximation theory, particularly polynomial interpolation. Inequalities.

Emeritus Professors

Emeritus Scholars

  • Alan Andrew

    Email: A.Andrew@latrobe.edu.au

    • Development and analysis of methods, especially the method of asymptotic correction, for the efficient numerical computation of higher Sturm-Liouville eigenvalues and for the numerical solution of inverse Sturm-Liouville problems. Numerical computation of derivatives of repeated eigenvalues and the corresponding eigenvectors of matrix-valued functions.
  • Peter J. Stacey

    Email: P.Stacey@latrobe.edu.au

    • Algebras of operators on Hilbert spaces: C*-algebras, automorphisms, antiautomorphisms, endomorphisms, non-commutative dynamical systems, crossed products.

Senior Lecturers

  • Graeme Byrne

    Email:G.Bryne@latrobe.edu.au

    • Spatial analysis of population mobility focusing on statistical models of Australian internal migration and commuting patterns.
  • Rob Champion

    Email:R.Champion@latrobe.edu.au

    • Applications of mathematics and statistics in health care.
  • Marcel Jackson

    Email: M.G.Jackson@latrobe.edu.au

    • Universal algebra and semigroups: computational complexity and decidability; finite axiomatisability problems; constraint satisfaction problems; applying algebras of functions and relations to the formal study of algorithms.
  • Christopher Lenard

    Email: C.Lenard@latrobe.edu.au

    • Graph theory: in particular longest paths, labelling, flows, and applications to demography and social networks.
  • Andriy Olenko

    Email: a.olenko@latrobe.edu.au

    • Probability and statistics: theory and statistics of random fields; spatial statistics; sampling in Fourier and signal analysis; probability metrics; stochastic in finance, insurance and wireless communications.
  • Luke Prendergast

    Email: Luke.Prendergast@latrobe.edu.au

    • Robust statistics and dimension reduction: Influence function analysis of statistical methods; theory and application of dimension reduction methods for the analysis of high dimensional data with an emphasis on visualization.
  • Katherine Seaton

    Email: K.Seaton@latrobe.edu.au

    • Statistical mechanics: in particular, exactly solvable models and their connections with conformal field theory. The small-world phenomenon.

Lecturers

  • John Banks

    Email: J.Banks@latrobe.edu.au

    • Discrete time topological dynamics with a focus on relationships between topological and metric 'chaos'. Symbolic dynamics and its relation to formal language theory.
  • Yuri Nikolayevsky

    Email: Y.Nikolayevsky@latrobe.edu.au

    • Riemannian geometry, geometry of submanifolds, integral and conformal geometry. Lie groups and Lie algebras, homogeneous spaces and symmetric spaces. Topological graph theory.

  • Narwin Perkal

    Email: Narwin@latrobe.edu.au

    • Algebraic aspects of the topological representation of algebras with emphasis on duality theory and standardness problems.

Associate Lecturers

Research Fellows

  • Peter van der Kamp

    Email: p.vanderkamp@latrobe.edu.au

    • Integrable systems and their connections with number theory, geometry and combinatorics. Symmetries of partial differential equations. Integrals and algebraic entropy of mappings.
  • Jane Pitkethly

    Email: J.Pitkethly@latrobe.edu.au

    • Universal algebra, particularly natural duality theory and applications of Priestley duality.
  • Will Wright

    Email:W.Wright@latrobe.edu.au

    • Numerical analysis of partial and ordinary differential equations. In particular, the efficient computation of problems using exponential or geometric integrators. Recently, I have started working on financial mathematics.

Honorary Staff

For Current Students

For Staff