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Research In The Department.

Algebra, Number Theory & Representations
Algebra is the study of symmetries and structures that model symmetries. Number theory is the study of the integers and number systems that have properties like the integers. These come together in Representation theory, which is the art of representing algebraic structures as matrices.

Academics:
  • Continuing Staff:
    Dr Jan DE GIER (ARC Queen Elizabeth II Fellow)
    Dr Alex GHITZA (Lecturer)
    Dr John GROVES (Associate Professor/Reader)
    Professor Greg HJORTH (ARC Australian Professorial Fellow)
    Associate Professor Jerry KOLIHA (Associate Professor)
    Professor Arun RAM (Professor)
    Dr Lawrence REEVES (Lecturer)


  • Students:
  • Postgraduates:
    Natalie AISBETT
    Nicholas BEATON Exact Solutions of Polygons and Random Walks.
    Sze-Yu CHEN Non-commutative tropical geometry
    Maurice CHIODO The geometry of groups and low dimensional manifolds and complexes
    Raj Anand DAHYA Descriptive Set Theory and Logic.
    Nicholas DAVIS Automata groups and hyperbolicity
    Max FLANDER
    Ashish GUPTA Modules over nilpotent groups
    Leigh HUMPHRIES Questions in the effective theory of real numbers
    Matthew KOTROS Boundaries for relatively hyperbolic groups
    Anthony MAYS Eigenvalue distributions in the complex plane
    Anita PONSAING Combinatorial aspects of the quantum Knizhnik - Zamolodchikov equation
    Callum SLEIGH Completed Cycles and Moduli of Curves.
    Tharatorn SUPASITI Boundary and decomposition in group theory and topology
    Paul WILLIAMS Generalisations of fractional calculus

  • Honours:
    Nicholas STEVENSON
    Maria TSARENKO
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