Associate Professor Roozbeh Hazrat
Associate Professor in Pure Mathematics,
Mathematics
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 8 years, before moving to University of Western Sydney in December 2011.
Personal Homepage: http://rhazrat.wordpress.com
This information has been contributed by Associate Professor Hazrat.
Qualifications
 Ph Bielefeld University
Interests
 (Leavitt) Path algebras
 Algebraic Ktheory and Noncommutative algebras
Organisational Unit (School / Division)
 Mathematics
Contact
Email:  R.Hazrat@westernsydney.edu.au 

Phone:  (02) 9685 9054 
Mobile:  
Location:  EN.1.35 Parramatta 
Website: 
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Publications
Books
 Hazrat, R. (2010), 'Mathematica: A ProblemCentered Approach', : SpringerVerlag 9781849962506.
Journal Articles
 Hazrat, R. and Rangaswamy, K. (2016), 'On graded irreducible representations of Leavitt path algebras', Journal of Algebra, vol 450 , pp 458  486.
 Hazrat, R. (2014), 'Leavitt path algebras are graded von Neumann regular rings', Journal of Algebra, vol 401 , pp 220  233.
 Hazrat, R., MahdaviHezavehi, M. and Motiee, M. (2014), 'Multiplicative groups of division rings', Mathematical Proceedings of Royal Irish Academy, vol 114, no 1 , pp 37  114.
 Hazrat, R., Stepanov, A., Vavilov, N. and Zhang, Z. (2014), 'The yoga of commutators : further applications', Journal of Mathematical Sciences, vol 200, no 6 , pp 742  768.
 Hazrat, R. (2013), 'The graded structure of Leavitt path algebras', Israel Journal of Mathematics, vol 195, no 2 , pp 833  895.
 Hazrat, R. and Zhang, Z. (2013), 'Multiple commutator formulas', Israel Journal of Mathematics, vol 195, no 1 , pp 481  505.
 Hazrat, R. (2013), 'The graded Grothendieck group and the classication of Leavitt path algebras', Mathematische Annalen, vol 355, no 1 , pp 273  325.
 Hazrat, R. (2013), 'A note on the isomorphism conjectures for Leavitt path algebras', Journal of Algebra, vol 375 , pp 33  40.
 Hazrat, R., Vavilov, N. and Zhang, Z. (2013), 'Relative commutator calculus in Chevalley groups', Journal of Algebra, vol 385 , pp 262  293.
 Hazrat, R., Stepanov, A., Vavilov, N. and Zhang, Z. (2013), 'Commutator width in Chevalley groups', Note di Matematica, vol 33, no 1 , pp 139  170.
 Hazrat, R. (2013), 'The dynamics of Leavitt path algebras', Journal of Algebra, vol 384 , pp 242  266.
 Hazrat, R. and Huttemann, T. (2013), 'On Quillen's calculation of graded Ktheory', Journal of Homotopy and Related Structures, vol 8, no 2 , pp 231  238.
 Hazrat, R. (2012), 'Stability of unitary SK1 of Azumaya algebras', Archiv der Mathematik, vol 98, no 1 , pp 19  23.
 Hazrat, R., Stepanov, A., Vavilov, N. and Zhang, Z. (2011), 'The yoga of commutators', Journal of Mathematical Sciences, vol 179, no 6 , pp 662  678.
 Hazrat, R., Zhang, Z. and Vavilov, N. (2011), 'Mixed commutators for unitary groups and applications', Journal of Algebra, vol 343, no 1 , pp 107  137.
 Hazrat, R. and Wadsworth, A. (2011), 'Unitary and graded SK1 of division algebras', London Mathematical Society. Proceedings, vol 103, no 3 , pp 508  534.
 Hazrat, R. and Wadsworth, A. (2011), 'SK1 of graded division algebras', Israel Journal of Mathematics, vol 183, no 1 , pp 117  163.
 Hazrat, R. and Zhang, Z. (2011), 'Generalized commutator formulas', Communications in Algebra, vol 39, no 4 , pp 1441  14564.
 Hazrat, R. (2010), 'SK1 of Azumaya algebras over Hensel pairs', Mathematische Zeitschrift, vol 264, no 2 , pp 295  299.
 Hazrat, R. and Millar, J. (2010), 'On graded central simple algebras', Homotopy and related structures, vol 5, no 1 , pp 113  124.
 Hazrat, R., Petrov, V. and Vavilov, N. (2010), 'Relative subgroups in Cheavelly groups', Journal of KTheory, vol 5, no 3 , pp 603  618.
 Hazrat, R. and Millar, J. (2010), 'A note on Ktheory of Azumaya algebras', Communications in Algebra, vol 38, no 3 , pp 919  926.
 Hazrat, R. and Wadsworth, A. (2009), 'On maximal subgroups of the multiplicative group of a division algebra', Journal of Algebra, vol 322, no 7 , pp 2528  2543.
 Hazrat, R. and Vavilov, N. (2009), 'Bak's work on Ktheory of rings', Journal of KTheory, vol 4, no 1 , pp 1  65.
 Hazrat, R., Bak, A. and Vavilov, N. (2009), 'Localizationcompletion strikes again : relative K1 is nilpotent by abelian', Journal of Pure and Applied Algebra, vol 213, no 6 , pp 1075  1085.
 Hazrat, R. (2008), 'On the first Galois cohomology group of the algebraic group SL1(D)', Communications in Algebra, vol 36, no 2 , pp 381  387.
 Hazrat, R. and Wadsworth, A. (2007), 'Nontriviality of certain quotients of K1 groups of division algebras', Journal of Algebra, vol 312, no 1 , pp 354  361.
 Hazrat, R. (2006), 'Reduced Ktheory for Azumaya algebras', Journal of Algebra, vol 305, no 2 , pp 687  703.
 Hazrat, R. and Wilson, R. (2006), 'A decomposition theorem for CK1 of central simple algebras', Communications in Algebra, vol 34, no 12 , pp 4573  4578.
 Hazrat, R. and Vishne, U. (2005), 'Triviality of the functor Coker(K1(F) ! K1(D)) for division algebras', Communications in Algebra, vol 33, no 5 , pp 1427  1435.
 Hazrat, R. and Vavilov, N. (2003), 'K1 of Chevalley groups are nilpotent', Journal of Pure and Appl. Algebra, vol 179, no 12 , pp 99  116.
 Hazrat, R. (2002), 'On central series of the multiplicative group of division rings', Algebra Colloquium, vol 9, no 1 , pp 99  106.
 Hazrat, R. (2002), 'Wedderburn's factorization theorem, Application to reduced Ktheory', Proceedings of the American Mathematical Society, vol 130, no 2 , pp 311  314.
 Hazrat, R. (2002), 'Dimension theory and nonstable K1 of quadratic modules', KTheory, vol 27, no 4 , pp 293  328.
 Hazrat, R. (2001), 'SK1like functors for division algebras', Journal of Algebra, vol 239, no 2 , pp 573  588.
Research
Current Projects
Title:  Graded Ktheory as invariants for path algebras 

Years:  20160630  20190531 
ID:  P00022561 
Western Researchers:  Roozbeh Hazrat 
Funding: 

Title:  Groupoids as bridges between algebra and analysis [via UoW] 
Years:  20150218  20180217 
ID:  P00022485 
Western Researchers:  Roozbeh Hazrat 
Funding: 
