Position

    Lecturer in Mathematics
    College of Science and Engineering

    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 and resonance index. Dissertationes Mathematicae, 17(6)
    • 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 and resonance index. Dissertationes Mathematicae, 17(6)
    • 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
    Email:
    Location: Tonsley (4.42)
    Postal address: GPO Box 2100, Adelaide 5001, South Australia
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