Position

Lecturer in Mathematics
Computer Sc, Engineering & Mathematics

Topic Coordinator:

Topic Lecturer:

Research expertise

  • Mathematical physics
  • Mathematics sciences

Research interests

Mathematical scattering theory, spectral shift function, Hilbert space perturbation theory, von Neumann algebras.

Supervisory interests

  • Mathematics

RHD research supervision

Current

Principal supervisor : singular spectral shift function, Schroedinger operators, scattering theory (1) ; unitary spectral flow, unitary singular spectral shift function, resonance index (1) ;

Completion

Principal supervisor : spectral flow for normal operators, continuous enumeration of eigenvalues (1) ;

Publications

  • Azamov, N.A. (2010). Spectral shift function in von Neumann algebras. Germany: VDM Verlag Dr. Müller.
  • Azamov, N.A. (2016). Spectral flow inside essential spectrum. Dissertationes Mathematicae, 518
    [10.4064/dm740-7-2015]
  • Azamov, N.A. (2011). Absolutely continuous and singular spectral shift functions. Dissertationes Mathematicae, 480 pp. 1-102.
    [Scopus]
  • Azamov, N.A., Carey, A.L., Dodds, P.G. and Sukochev, F.A. (2009). Operator integrals, spectral shift and spectral flow. Canadian Journal of Mathematics-journal Canadien De Mathematiques, 61(2) pp. 241-263.
    [10.4153/CJM-2009-012-0] [Scopus]
  • Azamov, N.A. and Sukochev, F.A. (2008). Spectral averaging for trace compatible operators. Proceedings of the American Mathematical Society, 136(5) pp. 1769-1778.
    [10.1090/S0002-9939-08-09210-1] [Scopus] [Web Link]
  • Azamov, N.A., Carey, A.L. and Sukochev, F.A. (2007). The Spectral Shift Function and Spectral Flow. Communications in Mathematical Physics, 276(1) pp. 51-91.
    [10.1007/s00220-007-0329-9] [Scopus]
  • Azamov, N.A., Dodds, P.G. and Sukochev, F.A. (2006). The krein spectral shift function in semifinite von Neumann Algebras. Integral Equations and Operator Theory, 55(3) pp. 347-362.
    [10.1007/s00020-006-1441-5] [Scopus]
  • Azamov, N.A. and Sukochev, F.A. (2005). A Lidskii type formula for Dixmier traces. Comptes Rendus Mathematique, 340(2) pp. 107-112.
    [10.1016/j.crma.2004.12.005] [Scopus]
  • Azamov, N.A. (2010). Spectral shift function in von Neumann algebras. Germany: VDM Verlag Dr. Müller.
  • Azamov, N.A. (2016). Spectral flow inside essential spectrum. Dissertationes Mathematicae, 518
    [10.4064/dm740-7-2015]
  • Azamov, N.A. (2011). Absolutely continuous and singular spectral shift functions. Dissertationes Mathematicae, 480 pp. 1-102.
    [Scopus]
  • Azamov, N.A., Carey, A.L., Dodds, P.G. and Sukochev, F.A. (2009). Operator integrals, spectral shift and spectral flow. Canadian Journal of Mathematics-journal Canadien De Mathematiques, 61(2) pp. 241-263.
    [10.4153/CJM-2009-012-0] [Scopus]
  • Azamov, N.A. and Sukochev, F.A. (2008). Spectral averaging for trace compatible operators. Proceedings of the American Mathematical Society, 136(5) pp. 1769-1778.
    [10.1090/S0002-9939-08-09210-1] [Scopus] [Web Link]
  • Azamov, N.A., Carey, A.L. and Sukochev, F.A. (2007). The Spectral Shift Function and Spectral Flow. Communications in Mathematical Physics, 276(1) pp. 51-91.
    [10.1007/s00220-007-0329-9] [Scopus]
  • Azamov, N.A., Dodds, P.G. and Sukochev, F.A. (2006). The krein spectral shift function in semifinite von Neumann Algebras. Integral Equations and Operator Theory, 55(3) pp. 347-362.
    [10.1007/s00020-006-1441-5] [Scopus]
  • Azamov, N.A. and Sukochev, F.A. (2005). A Lidskii type formula for Dixmier traces. Comptes Rendus Mathematique, 340(2) pp. 107-112.
    [10.1016/j.crma.2004.12.005] [Scopus]

Contact

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Phone: +61 8 82012153
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Location: Tonsley (4.42)
Postal address: GPO Box 2100, Adelaide 5001, South Australia
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