Associate ProfessorJames Parkinson

Associate Professor

Faculty of Science

RESEARCH INTERESTs

I am a member of the Algebra research group and the Geometry, Topology, and Analysis research group. My research interests include combinatorial representation theory and random walk theory. More specifically, I am currently interested in the representation theory of Hecke algebras, with applications to probability theory on buildings and Kac-Moody groups. Other interests include generalised polygons, harmonic analysis on graphs and groups, and path models in Lie theory.

My research aligns with the Faculty of Science Research Strengths - Understanding the Universe, Fundamental Laws of Nature, Complex Systems, Precision and Digital Health.

FUNDED RESEARCH

  • GRANT
    New directions in Hecke algebras
    Australian Research Council (ARC)1 Jan 2020
    People funded by this grant:
    • Guilhot J,
    • Mã¼Hlherr B,
    • Parkinson J
  • GRANT
    The geometry and combinatorics of loop groups
    Australian Research Council (ARC)1 Jan 2011
    People funded by this grant:
    • Parkinson J,
    • Kamnitzer J