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Dr Pedram Hekmati

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Senior Lecturer
In: Mathematics » Faculty of Science

Research | Current

Differential geometry, Lie theory and mathematical physics. Specifically,

  • Moduli spaces, character varieties, Floer homology and knot invariants,
  • Generalised geometry, topological T-duality, gerbes, and K-theory 
  • Infinite dimensional Lie algebras and vertex operator algebras,
  • Mathematical aspects of quantum field theory, gauge theory and string theory.

See my personal homepage for more details.

Postgraduate supervision

I am happy to supervise Honours, Masters or PhD projects in the areas of differential geometry, topology, Lie theory and mathematical physics. This includes projects on:

  • moduli spaces arising in gauge theory,
  • topology and geometry of representation varieties,
  • Lie algebras, vertex operator algebras and modular forms,
  • K-theory, index theory and geometric quantisation,
  • Poisson geometry and generalised geometry,
  • geometric dualities arising in string theory.
  • braid groups and knot theory.

If you are interested, please contact me by email for more details.

Selected publications and creative works (Research Outputs)

As of 29 October 2020 there will be no automatic updating of 'selected publications and creative works' from Research Outputs. Please continue to keep your Research Outputs profile up to date.
  • Baraglia, D., & Hekmati, P. (2016). Moduli spaces of contact instantons. Advances in Mathematics, 294, 562-595. 10.1016/j.aim.2016.03.001
  • Hekmati, P., Murray, M. K., & Vozzo, R. F. (2012). The general caloron correspondence. Journal of Geometry and Physics, 62 (2), 224-241. 10.1016/j.geomphys.2011.10.015
  • Hekmati, P., & Varghese, M. (2012). T-duality of current algebras and their quantization. In C. L. Aldana, M. Braverman, B. Iochum, Neira Jiménez C (Eds.) Analysis, Geometry and Quantum Field Theory, 584, 17-38. Potsdam, Germany. 10.1090/conm/584
    URL: http://hdl.handle.net/2292/40220

Contact details

Primary office location

SCIENCE CENTRE 303 - Bldg 303
Level 2, Room 250
38 PRINCES ST
AUCKLAND CENTRAL
AUCKLAND 1010
New Zealand

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