Research interests and Publications, Graduate Students

Hendrik Grundling

Room 5104, Red Centre
+61 2 9385 7104
+61 2 9385 7123
Hendrik Grundling
School of Mathematics and Statistics
The University of New South Wales
Sydney NSW 2052, Australia

Brief History

  • B.Sc (Hons 1) University of Pretoria, 1976.
  • PhD University of Adelaide, 1986.
  • Postdoctoral Fellow, Mathematics, Australian National University, 1987-88.
  • School of Mathematics, UNSW, 1989-

  • Research Interests and Selected Papers

    Mathematical Physics and C*-algebras, with particular emphasis on the following topics: Quantum Constraints, Quantum Field Theory, Quantum Gauge Theory, Quantization issues. Group Algebras for groups which are not locally compact.

  • Quantum Constraints
  • Quantum Gauge Theory
  • Other Quantum Field Theory Issues
  • Quantization
    • M. Gotay, H. Grundling, C. Hurst: A Groenewald-Van Hove Theorem for S^2. Trans. Amer. Math. Soc. 348, 1579-1597 (1996) PDF version
    • M.J. Gotay, H. Grundling, G. Tuynman, Obstruction results in quantization theory. J. Nonlinear Sci. 6, 469-498 (1996) PDF version
    • M.J. Gotay, H. Grundling, On quantizing T*S^1. Rep. Math. Phys 40, 107-145 (1997) PDF version
    • M.J. Gotay, J. Grabowski, H. Grundling, An obstruction to quantizing compact symplectic manifolds, Proc. Amer. Math. Soc. 128, 237-243 (2000) PDF version
    • M.J. Gotay, H. Grundling, Nonexistence of finite-dimensional quantizations of a noncompact symplectic manifold, in: Differential geometry and applications (Brno, 1998), Masaryk University, Brno, 2000, 593-596. PDF version
  • Group C*-algebras for groups which are not locally compact
    • H. Grundling: A Group Algebra for Inductive Limit Groups: Continuity Problems of the Canonical Commutation Relations. Acta Applic. Math. 46, 107-145 (1997) PDF version
    • H. Grundling: Generalising group algebras. J. London Math. Soc. (2) 72,(3) 742-762 (2005) PDF version
      Corrigendum. J. Lond. Math. Soc. (2) 77, 270-271 (2008) PDF version
      (Whilst the existence and uniqueness theorem in the paper fails, it still provides an interesting setting for host algebras).
    • H. Grundling, K-H. Neeb: Full regularity for a C*-algebra of the Canonical Commutation Relations. Reviews Math. Phys. 21,(5) 787-613 (2009) PDF version
    • H. Grundling, K-H. Neeb: Infinite Tensor Products of C_0(R): Towards a Group Algebra for R^\infty. (in print in J. Op. Th.) PDF version
    • H. Grundling: Host Algebras. Unpublished. PDF version
  • Other.
  • H. Grundling, K-H. Neeb: Crossed Products of C*-algebras by Singular Actions. (Submitted) PDF version
  • H.Grundling: Integrated differential geometry. Commutative and noncommutative. Unpublished. PDF version

    Graduate Students

    Current and recent students:
    • Patrick Costello, The Mathematical Structure of the Quantum BRST-Constraint Method., PhD, 2002-2007. PDF version
    • Harry Ward, Dynamics Adjustment for Quantum Constraints, PhD, 2006-

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