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Peter BOUWKNEGT

Director Mathematical Sciences Institute

Professor of Theoretical Physics and Mathematics
Australian National University

Adjunct Professor of Mathematics
University of Adelaide


Prof PG Bouwknegt, FAIP, FAustMS

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 1173
+61 2 6125 2957 (secr)
+61 2 6125 4984
peter.bouwknegt@anu.edu.au


Prospective Students


Students interested in studying for an Honours, MPhil or 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!

Potential Exchange Students, please familiarize yourself with the possibilities (see here), and follow the instructions on this webpage, before contacting me. You can apply to be an exchange student if your institute is either an ANU Exchange Partner, College Exchange Partner, or IARU partner. Otherwise you can come to the ANU as a fee paying Study Abroad Student.

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


Biography

Professor Peter Bouwknegt studied Theoretical Physics and Mathematics at the University of Utrecht, Netherlands, under supervision of Prof G 't Hooft (Nobel Prize for Physics 1999), and at the University of Amsterdam under Prof FA Bais. He obtained his PhD in 1988. He then spent several years as a postdoctoral fellow at MIT, CERN and the University of Southern California before settling in Australia in 1995. He spent almost 10 years at the University of Adelaide, first as an ARC QEII Fellow and subsequently as an ARC Senior Research Fellow, before being appointed Professor of Theoretical Physics and Mathematics at the Australian National University in 2005. He is a recipient of the 2001 medal of the Australian Mathematical Society, and an expert on the mathematical foundations of String Theory and Conformal Field Theory. He served on the Australian Research Council's College of Experts from 2009-2011. Currently he is the director of the ANU's Mathematical Sciences Institute.


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.


News


Teaching 2012 (1st semester)


Recent Papers

P. Bouwknegt and B. Jurčo,
AKSZ construction of topological open p-brane action and Nambu brackets
[arXiv:1110.0134 [math-ph]]
P. Bouwknegt and R. Ratnam,
A Cech dimensionally reduced Gysin sequence for principal torus bundles
[arXiv:1109.5742 [math.GT]]
P. Bouwknegt, A. Carey and R. Ratnam,
A Chern-Weil isomorphism for the equivariant Brauer group
[arXiv:1109.3306 [math.OA]]
P. Bouwknegt, A. Carey and R. Ratnam,
Recent advances in the study of the Equivariant Brauer Group
[arXiv:1109.0591 [math.OA]]
P. Bouwknegt, V. Mathai and S. Wu
Bundle gerbes and moduli spaces
J. Geom. Phys. 62 (2012) 1-10, DOI:10.1016/j.geomphys.2011.08.005
[arXiv:1107.3687 [math.DG]]


Research Group (2012)

Postdocs

  • John Huerta
  • Pei-Wen (Peggy) Kao

ARC Australian Research Fellow (ARF)

  • David Ridout

ARC Australian Postdoctoral Fellow (APD)

  • David Baraglia

Current Students

  • PhD:
    • Josh Garretson
    • Andrew Kels (jointly with Vladimir Bazhanov)
    • Kowshik Bettadapura (jointly with Bryan Wang)
  • Honours:
    • Daniel Jacobs
    • Zeying Chen
  • Summer Research Scholars:
    • Yichen (Lily) Shi

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
    • Peggy Kao
      Thesis: T-duality and Poisson-Lie T-duality in Generalized Geometry
    • Rishni Ratnam (jointly with Alan Carey)
      Thesis: A Dimensionally Reduced Gysin Sequence for the Equivariant Brauer Group
  • MPhil:
    • David Botman
      Thesis: Spin Foam Quantization of 2D Supergravity
    • Madeleine Smith
      Thesis: Tachyon condensation in open string field theory and the βγ conformal field theory (submitted)
  • 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
    • Matthew Magill
      Thesis: Courant Algebroids
    • Kowshik Bettadapura
      Thesis: Twisted supersymmetric field theories and de Rham cohomology

  • Exchange students
    • Sophie Maire, University of Neuchatel
      Thesis: Higher loop beta functions and Buscher rules for bosonic string theory
    • Yves Barmaz, ETH Zurich
      Thesis: Global aspects of T-duality
    • Philipp Gruber, ETH-Zurich
      Thesis: Beyond Generalized Geometry

Visitors 2012

  • Subir Ghosh, Indian Statistical Institute, Kolkata (Jun-Jul)


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