Doctor Roozbeh Hazrat
SENIOR LECTURER IN PURE MATHEMATICS,
Mathematics
Personal
Qualifications
- Ph Bielefeld University
UWS Organisational Unit (School / Division)
- Mathematics
Contact
| Email: | R.Hazrat@uws.edu.au |
|---|---|
| Extension: | 9054 |
| Mobile: | |
| Location: | ER.G.18 Parramatta |
| Website: |
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Biography
Roozbeh Hazrat obtained his PhD in Pure Mathematics from the University of Bielefeld, Germany in 2002. He did research at the Australian National University, Max Planck Institute in Bonn and the City University of New York. He was a Reader (Associate Professor) in Pure Mathematics at Queen's University Belfast, United Kingdom where he worked for 7 years, before moving to University of Western Sydney in December 2011.
Personal homepage: http://rhazrat.wordpress.com
This information has been contributed by Doctor Hazrat.
Interests
- (Leavitt) Path algebras
- Algebraic K-theory and Noncommutative algebras
Publications
Books
- Hazrat, R. (2010), 'Mathematica, A problem-centered approach', : Springer-Verlag 978-1-84996-250-6.
Journal Articles
- Hazrat, R. (2013), 'The graded structure of Leavitt path algebras', Israel Journal of Mathematics, 63.
- Hazrat, R. and Zhang, Z. (2013), 'Multiple commutator formulas', Israel Journal of Mathematics, 25.
- Hazrat, R. and Hoobler, R. (2013), 'K-theory of Azumaya algebras over schemes', Communications in Algebra, 10.
- Hazrat, R. (2013), 'The graded Grothendieck group and the classication of Leavitt path algebras', Mathematische Annalen, 53.
- Hazrat, R. (2013), 'K-theory of Azumaya algebras over schemes', Communications in Algebra, 10.
- Hazrat, R. (2013), 'A note on the isomorphism conjectures for Leavitt path algebras', Journal of Algebra, 8.
- Hazrat, R. and Wadsworth, A. (2012), 'Homogeneous SK1 of simple graded algebras', The New York Journal of Mathematics, 22.
- Hazrat, R. (2012), 'Stability of unitary SK1 of Azumaya algebras', Archiv der Mathematik, 5.
- Hazrat, R., Stepanov, A., Vavilov, N. and Zhang, Z. (2011), 'The yoga of commutators', Journal of Mathematical Sciences, 17.
- Hazrat, R., Zhang, Z. and Vavilov, N. (2011), 'Mixed commutators for unitary groups and applications', Journal of Algebra, 31.
- Hazrat, R. and Wadsworth, A. (2011), 'Unitary and graded SK1 of division algebras', London Mathematical Society. Proceedings, 27.
- Hazrat, R. and Wadsworth, A. (2011), 'SK1 of graded division algebras', Israel Journal of Mathematics, 47.
- Hazrat, R. and Zhang, Z. (2011), 'Generalized commutator formulas', Communications in Algebra, 13124.
- Hazrat, R. (2010), 'SK1 of Azumaya algebras over Hensel pairs', Mathematische Zeitschrift, 5.
- Hazrat, R. and Millar, J. (2010), 'On graded central simple algebras', Homotopy and related structures, 12.
- Hazrat, R., Petrov, V. and Vavilov, N. (2010), 'Relative subgroups in Cheavelly groups', Journal of K-Theory, 16.
- Hazrat, R. and Millar, J. (2010), 'A note on K-theory of Azumaya algebras', Communications in Algebra, 8.
- Hazrat, R. and Wadsworth, A. (2009), 'On maximal subgroups of the multiplicative group of a division algebra', Journal of Algebra, 16.
- Hazrat, R. and Vavilov, N. (2009), 'Bak's work on K-theory of rings', Journal of K-Theory, 65.
- Hazrat, R., Bak, A. and Vavilov, N. (2009), 'Localization-completion strikes again: relative K1 is nilpotent by abelian', Journal of Pure and Applied Algebra, 11.
- Hazrat, R. (2008), 'On the rst Galois cohomology group of the algebraic group SL1(D)', Communications in Algebra, 7.
- Hazrat, R. and Wadsworth, A. (2007), 'Nontriviality of certain quotients of K1 groups of division algebras', Journal of Algebra, 8.
- Hazrat, R. (2006), 'Reduced K-theory for Azumaya algebras', Journal of Algebra, 17.
- Hazrat, R. and Wilson, R. (2006), 'A decomposition theorem for CK1 of central simple algebras', Communications in Algebra, 6.
- Hazrat, R. and Vishne, U. (2005), 'Triviality of the functor Coker(K1(F) ! K1(D)) for division algebras', Communications in Algebra, 9.
- Hazrat, R. and Vavilov, N. (2003), 'K1 of Chevalley groups are nilpotent', Journal of Pure and Appl. Algebra, 18.
- Hazrat, R. (2002), 'On central series of the multiplicative group of division rings', Algebra Colloquium, 8.
- Hazrat, R. (2002), 'Wedderburn's factorization theorem, Application to reduced K-theory', Proceedings of the American Mathematical Society, 4.
- Hazrat, R. (2002), 'Dimension theory and nonstable K1 of quadratic modules', K-Theory, 36.
- Hazrat, R. (2001), 'SK1-like functors for division algebras', Journal of Algebra, 16.
