Peter Hochs

Dr Peter Hochs


School of Mathematical Sciences

Faculty of Engineering, Computer and Mathematical Sciences

Eligible to supervise Masters and PhD - email supervisor to discuss availability.

I got M.Sc. degrees in mathematics and physics from Utrecht University in the Netherlands in 2003. After that I did a Ph.D. project at the Radboud University in NIjmegen, the Netherlands, supervised by Klaas Landsman and Gert Heckman. That project was about the relations between index theory and representation theory of Lie groups, as well as the problem of quantising a classical theory in physics. After working in industry for a few years I came back to pure mathematics, working at the Leibniz University Hanover in Germany, and at the University of Adelaide.

I am most interested in research into relations between different areas in mathematics. My main area is index theory, where geometry, topology and analysis interact in fundamental ways. I am also interested in links to representation theory of Lie groups, and to noncommutative geometry, K-theory and KK-theory.

I work in index theory, which is the study of relations between geometry, analysis and topology through differential equations on geometric spaces. I am particularly interested in equivariant index theory for noncompact groups and manifolds, and its relations with geometric quantisation, noncommutative geometry, differential geometry and geometric analysis, Lie theory, links between K-theory, K-homology and representation theory.

Marie Curie International Outgoing Fellowship, European Union, 2012 (personal fellowship).

Alexander von Humboldt Postdoctoral Fellowship, 2011 (personal fellowship).

Support for Workshop on Geometric Quantisation, AMSI/AustMS, 2015.

Support for workshop Representation theory and Operator algebras, AMSI, 2013

  • Current Higher Degree by Research Supervision (University of Adelaide)

    Date Role Research Topic Program Degree Type Student Load Student Name
    2019 Co-Supervisor Extensions of the Toeplitz index theorem with new applications Master of Philosophy Master Full Time Mr Matthias Eduard Fresacher
    2018 Principal Supervisor I will investigate convergence and continuity of functionals defined by orbital integrals, on subalgebras of group C*-algebras, generalising results by Samurkas from discrete to non-discrete groups. I will also investigate applications to K-theory. Master of Philosophy Master Part Time Mr Nicholas Lawson McLean
    2018 Co-Supervisor Computations in Higher Twisted K-theory Master of Philosophy Master Full Time Mr David Leonard Brook
    2017 Co-Supervisor Non-Commutative Index Theory on Singular Spaces Master of Philosophy Master Full Time Mr Samuel Mills
  • Other Supervision Activities

    Date Role Research Topic Location Program Supervision Type Student Load Student Name
    2015 - 2016 Co-Supervisor Determinants by K-theory Radboud University Master Full Time André Schemaitat
    2015 - 2016 Co-Supervisor Towards faster internet connections: connecting cabinets to the fiber glass network Radboud University Master Full Time Niels Nuemasnn
  • Position: Lecturer
  • Phone: 83134891
  • Email:
  • Fax: 8313 3696
  • Campus: North Terrace
  • Building: Ingkarni Wardli, floor 7
  • Room: 7 35
  • Org Unit: Mathematical Sciences

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