Doctor Roozbeh Hazrat

• Biography
• Areas of Research / Teaching Expertise
• Grants / Current Projects
• Awards and Recognition
• Selected Publications
• Contact Details

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.

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Areas of Research / Teaching Expertise

Algebraic K-theory and Noncommutative algebras. In particular, lower K-theory, theory of central simple algebras and recently, (Leavitt) path algebras.

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Grants / Current Projects

EPSRC-UK, Standard Grant Scheme, Jan 2011--Jan 2012,
Total amount of 32,700 pounds

EPSRC-UK, First Grant Scheme, Sep 2006--Sep
2009, Total amount of 101,000 pounds

London Mathematical Society grant to organise a workshop on
Motive, quadratic forms and algebraic groups at Queen's Belfast 27 to 31
August 2007, 14,290 pounds,

Australian Research Council ARC, Postdoctoral grant
2004--2007, Total amount of $226,000. Not accepted and moved to
Queen's Belfast

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Awards and Recognition

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Selected Publications

Mixed commutators for unitary groups and applications, (with Z. Zhang and N. Vavilov), Journal of Algebra, 343 (2011) 107--137

Unitary and graded SK1 of division algebras, (with Adrian Wadsworth),
Proc. Lond. Math. Soc., 103, (2011) no. 3, 508--534

SK1 of graded division algebras, (with Adrian Wadsworth),
Israel Journal of Mathematics, 183 (2011) 117--163

Relative subgroups in Cheavelly groups, (with Victor Petrov, Nikolai Vavilov), Journal of K-Theory, 5 (2010), 603--618

On maximal subgroups of the multiplicative group of a division algebra, (with Adrian Wadsworth), Journal of Algebra, 322 (2009) 2528--2543

Bak's work on K-theory of rings, (with Nikolai Vavilov), Journal of K-Theory,
4 (2009) 1--65

(Book) Mathematica, A problem-centered approach, Springer Undergraduate Math. Series, Springer-Verlag, Berlin, London, New York, 2010.

Localization-completion strikes again: relative K1 is nilpotent by abelian, (with A. Bak and N. Vavilov), Journal of Pure Appl. Algebra}, 213 (2009) 1075--1085

Nontriviality of certain quotients of K1 groups of division algebras, (with Adrian Wadsworth), Journal of Algebra}, 312 (2007) 354--361

Reduced K-theory for Azumaya algebras, Journal of Algebra, 305 (2006) 287--307

K1 of Chevalley groups are nilpotent (with Nikolai Vavilov),
Journal of Pure and Appl. Algebra, 179 (2003) 99--116

Wedderburn's factorization theorem, Application to reduced
K-theory, Proc. Amer. Math. Soc., 130 (2002) no. 2, 311--314

Dimension theory and nonstable $K_1$ of quadratic modules, K-Theory, 27 (2002) 293--328

SK1-like functors for division algebras, Journal of Algebra, 239 (2001) no. 2, 573--588

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