Students, Thesis Topics & Scholarships


    Scholarships for prospective postgraduate students:

    International Postgraduate Research Scholarships
    Postgraduate Research Scholarships
    Other Postgraduate Research Scolarships
    Master of Philosophy program


    Thesis topics for prospective postgraduate students:

    K-theory and twisted analogues,
    Atiyah-Singer index theory of elliptic operators and generalizations,
    Spectral theory of elliptic operators,
    Noncommutative geometry,
    Mathematics of the fractional quantum Hall effect,
    Mathematics of String Theory.


    Job opportunities for graduates:

    Academic (AustMS)
    Academic (AMS)
    Academic (EMS)
    Academic (LMS)
    DSTO
    CSIRO


    Current honours and postgraduate students:

    Mr. Konrad Pilch, M.Phil.(research) student, Australian Postgraduate Award (jointly with M. Murray)
    Thesis title: Non-commutative geometry methods in number theory
    Expected thesis submission: 2013.

    Postgraduate students supervised:
    (7 Ph.D., 4 M.Sc., 5 B.Sc.(honours))

    Ph.D. Students

    Dr. Luke Schubert,
    Spectral properties of the Laplacian on p-forms on the Heisenberg group,
    Ph.D., University of Adelaide, (awarded 1997).
    Jointly supervised with Alan Carey.
    Australian Postgraduate Award, 1994-97.
    Currently working at DSpace Pty. Ltd., Mawson Lakes, South Australia.

    Dr. Stuart Yates,
    Properties and applications of the vector Harper operator,
    Ph.D., University of Adelaide, (awarded 2002),
    Australian Postgraduate Award, 1999-02.
    Postdoctoral fellowship, Max Planck Institute, Bonn, Germany 2002-2003.
    JSPS postdoctoral fellowship, in Tokyo, Japan, 2003-2005.
    Formerly Chief Scientist, Archimedes Consulting, Adelaide.
    Currently TRC research fellow, University of Adelaide.

    Dr. Rongmin Lu,
    Regularized Equivariant Euler Classes and Gamma Functions,
    Ph.D., University of Adelaide, (awarded 2008).
    Junior Research Fellow at Erwin Schrödinger Institute, Vienna. March-April, 2009, 5 months in 2010.

    Dr. Raymond Vozzo,
    Loop groups, Higgs fields and generalized String classes
    Ph.D., University of Adelaide, (awarded 2009).
    Jointly supervised with Michael Murray.
    Australian Postgraduate Award, 2006-2009.
    Research Associate (ANU, Adelaide)

    Dr. David Roberts,
    Fundamental bigroupoids and 2-covering spaces,
    Ph. D., University of Adelaide, (awarded 2010).
    Jointly supervised with M. Murray and J. Stasheff
    Australian Postgraduate Award, 2005-2009.
    Currently a researcher at National Centre for Vocational Education Research

    Dr. Richard Green,
    A Fourier-Mukai Transform for Invariant Differential Cohomology
    Ph. D., University of Adelaide, (awarded 2011).
    Jointly supervised with M. Murray.
    Australian Postgraduate Award, 2006-2009.
    Junior Research Fellow at Erwin Schrödinger Institute, Vienna. March-July 2010.

    Dr. James Wallbridge,
    Higher Tannaka duality
    Ph. D., University of Adelaide and University of Toulouse, (awarded 2011).
    Jointly supervised with M. Murray and B. Toen (Toulouse).
    Divisional Scholarship, 2007-2010.
    Currently a postdoc at Harvard University, 2011-2012.

    M.Sc. students

    Mr. Stuart Yates
    Discrete Morse theory and L2 homology,
    M.Sc. (research), University of Adelaide, (awarded 1998).

    Mr. Rongmin Lu
    K-theory and a twisted analogue,
    M. Sc. University of Adelaide (awarded 2004).

    Mr. David Baraglia,
    Generalized Geometry,
    M. Sc. (research), University of Adelaide, (awarded 2006)
    Australian Postgraduate Award (2006)
    Secondary supervisor.

    Mr. Ryan Mickler,
    Twisted Analytic Torsion
    M.Sc.(research), University of Adelaide, (awarded 2012)
    Australian Postgraduate Award (2009-2010)
    Jointly supervised with Michael Murray.

    B.Sc.(Honours) students

    Mr. Ben Dolman,
    Towards the cyclic cohomology of surface group algebras,
    B.Sc. (Honours), University of Adelaide, (awarded 2003).
    Wazim Hasan and Amir Hasan Abdi Prize-winner 2003.
    2004 University Medal winner.

    Mr. Tyson Ritter,
    The Atiyah-Singer index theorem for Dirac type operators,
    B.Sc. (Honours), University of Adelaide (awarded 2004).
    Wazim Hasan and Amir Hasan Abdi Prize-winner 2004.
    2004 University Medal winner.

    Mr. Richard Green,
    Introduction to equivariant cohomology,
    B.Sc. (Honours), University of Adelaide (awarded 2005).

    Mr. Michael McInerney,
    Tannaka-Krein duality
    B.Sc.(Honours), University of Adelaide (awarded 2010)
    (jointly with M. Murray)

    Mr. Adrian Fernandez Tojo,
    Birkhoff Decomposition Applied to Holomorphic Bundles
    B.Sc.(Honours), University of Adelaide (awarded 2011)


    Return to Mathai's Webpage.