Nurulla Azamov

Position

Lecturer in Mathematics
Computer Sc, Engineering & Mathematics

Topic Coordinator:

MATH2712 Algebra
MATH3701 Numerical Analysis
MATH3712 Partial Differential Equations
MATH4712 Differential Geometry

Topic Lecturer:

MATH2712 Algebra
MATH3701 Numerical Analysis
MATH3712 Partial Differential Equations
MATH7709 Topology

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]

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

Dr Nurulla Azamov