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Peter BOUWKNEGT

Professor of Physics and Mathematics
Australian National University

Adjunct Professor of Physics and Mathematics
University of Adelaide

FAIP, FAustMS


Prof PG Bouwknegt
Department of Theoretical Physics
Research School of Physics and Engineering
Australian National University
Canberra, ACT 0200, AUSTRALIA


Department of Mathematics
Mathematical Sciences Institute
Australian National University
Canberra, ACT 0200, AUSTRALIA

Office Le Couteur (Bldg #59), Rm L.3.15 John Dedman (Bldg #27), Rm 2151
+61 2 6125 2969 +61 2 6125 3720
+61 2 6125 4676 +61 2 6125 4984
peter.bouwknegt@anu.edu.au


Prospective Students

Students interested in studying for an Honours or MPhil/PhD degree under my supervision, please familiarize yourself with the following information before contacting me:

For Summer Research Scholarships, please refer to these pages [Physics, Maths, ANU]. Summer Vacation Scholarships/Projects (Summer Internships) are currently only offered to Australian/New Zealand residents. Due to the large volume of requests I will no longer reply to inquiries from other countries!

For a list of projects that I am offering please look here.


Research Interests

Mathematical physics. Current research interests include the investigation of mathematical aspects of physical theories, in particular quantum field theories. Main expertise is the structure of two-dimensional conformal field theory and their applications in diverse areas such as condensed matter physics, integrable models of statistical mechanics and string theory. Also the mathematical structures underlying string theory and D-branes, using advanced mathematical techniques such as K-theory and gerbes. More mathematical expertise and research interests are in the areas of (infinite dimensional) Lie algebras, representation theory, quantum groups, differential geometry, homological algebra, algebraic geometry and algebraic topology. Recently I've become interested in the Geometric Langlands Program. Projects are offered in all of these areas.


News


Teaching 2009 (1st semester)

  • PHYS4004: Relativistic Quantum Mechanics (honours)

Teaching 2009 (2nd semester)


Recent Papers

P. Bouwknegt
Lectures on Cohomology, T-duality and Generalized Geometry
to appear in the proceedings of the the Summer School "New Paths Towards Quantum Gravity”, Holbæk, Denmark, 10-16 May 2008.
Editors: B. Booß-Bavnbek, G. Esposito and M. Lesch
P. Bouwknegt and V. Mathai
T-Duality as a Duality of Loop Group Bundles
J. Phys. A: Math. Theor. 42 (2009) 162001 (8 pages)
[arXiv:0902.4341 [hep-th]]
P. Bouwknegt and A. Pande
Topological T-duality and T-folds
Adv. Theor. Math. Phys., to be published
[arXiv:0810.4374 [hep-th]]
P. Bouwknegt
Introduction to Geometric Representation Theory
Lectures presented at the workshop on "Geometry and Integrability", Melbourne, 6-15 February 2008.
P. Bouwknegt, K. Hannabuss and V. Mathai
C*-algebras in tensor categories
To appear in the proceedings of the conference "Motives, Quantum Field Theory, and Pseudodifferential Operators", Boston, 2-13 June 2008, Clay Mathematics Proceedings, Vol 12
Editors: A. Carey, D. Ellwood, S. Paycha and S. Rosenberg [arXiv:math.QA/0702802]
P. Bouwknegt and D. Ridout
Presentations of Wess-Zumino-Witten fusion rings
Rev. in Math. Phys. 18 (2006) 201-232, [arXiv:hep-th/0602057]
P. Bouwknegt, P. Jarvis and J. Links (guest editors)
Hurst-Bracken Festschrift
Reports on Math. Phys. 57 (1) (2006) 1-161 [on-line]

List of all Publications


Hope to see you at one of the following events

Click here for a list of events of relevance to the Mathematical Physics Program at the ANU.


Research Group

[Group Photos]

Research Associate

  • Ashwin Pande (until March 2009)
  • Raymond Vozzo (July-September 2009)

Current Students

  • PhD:
  • MPhil:
  • Honours:
    • Matthew Magill
  • ASC:
    • Lerh Low
  • PhB mentor of:
    • Justin Yap (started 2006)
    • James Taylor (started 2007)
    • Louisa Osborne (started 2008)

Past Students

  • PhD:
    • Peter Dawson
      Thesis: Effective actions and charges of D-branes in curved space-time
    • David Ridout
      Thesis: D-Brane Charge Groups and Fusion Rings in Wess-Zumino-Witten Models [pdf]
    • Peggy Kao
      Thesis: T-duality and Poisson-Lie T-duality in Generalized Geometry [pdf]
  • MPhil:
    • David Botman
      Thesis: Spin Foam Quantization of 2D Supergravity
  • Honours:
    • Nick Halmagyi
      Thesis: Polynomial realizations of finite dimensional Lie algebras: with applications to quasiparticles in 2D quantum conformal field theory
    • Kristian Kennaway
      Thesis: BPS states in String Theory
    • David Tellis
      Thesis: Integrable structures in Statistical Mechanics and Field Theory
    • Peggy Kao
      Thesis: Black Hole Thermodynamics and String Theory
    • David Roberts
      Thesis: T-duality in String Theory
    • Man Chung Fung
      Thesis: Generalized complex geometry and geometric quantization
    • Kimberley Heenan
      Thesis: Topological Quantum Computation and Conformal Field Theory
  • Exchange students
    • Sophie Maire, University of Neuchatel (Aug 2007 - Mar 2008)
      Thesis: Higher loop beta functions and Buscher rules for bosonic string theory [pdf]
    • Yves Barmaz, ETH Zurich (Sep 2007 - Feb 2008)
      Thesis: Global aspects of T-duality [pdf]
  • Summer Students (2007/2008)
    • Kirill Talanine (Dec 2007 - Feb 2008)

Visitors 2008

  • Nick Halmagyi, University of Chicago (January, 15-19 December)

Visitors 2009

  • David Ridout, DESY, Hamburg (8-9 January)
  • Ali Imaanpur, IPM, Tehran (April-December)


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