Quaecumque VeraDepartment of Mathematical and Statistical Sciences
Mazi Shirvani
Ph.D., Queen Mary College - University of London

Office: CAB 611
Phone: (780) 492-0109
Fax: (780) 492-6826

Research Interests
Algebra: Division rings, central simple algebras, ordinary and projective representation theory of groups over division rings.

Applied Mathematics: Coagulation theory, transport equations.

Selected Publications
[1]  With J. Z. Goncalves, The proof of the Lichtman and Makar-Limanov Conjectures for Skew Polynomial Rings, preprint.

[2]  Finite perfect inner automorphism groups of division rings, preprint.

[3] Projective representations of groups, and the Brauer group, preprint.

[4] With H. J. Van Roessel, On a finite system of coagulation equations with time-dependent kernels and source terms, preprint.

[5] With H. J. Van Roessel, Existence and uniqueness of solutions of Smoluchowski's coagulation equation with source terms, Quarterly of Applied Mathematics, to appear.

[6] With H. J. Van Roessel, Some results on the coagulation equation, Nonlinear Analysis: Theory, methods, and Applications, 43 (2001), 563-573.

[7] With A. Mandel and J. Z. Goncalves, Free products of units in algebras. II. Crossed Products , J. Algebra, 233 (2000), 567-593.

[8] With J.Z. Goncalves, Large free algebras in the ring of fractions of skew polynomial rings, J. London Math. Soc., (2) 60 (1999), 481-489.

[9] With A. Mandel and J. Z. Goncalves, Free products of units in algebras. I. Quaternion algebras, J. Algebra 214 (1999), 301-316.

[10] With J. So, Solutions of linear differential algebraic equations, SIAM Review, 40 (1998), 344-346.

[11] With J.Z. Goncalves, On the codimension of the image of a derivation in a commutative field, Comm. in Algebra, 26 (1998), 2273-2281.

[12] With J.Z. Goncalves, Free group algebras in the field of fractions of differential polynomial rings snd enveloping algebras, J. Algebra, 204 (1998), 372-385.

[13] With A.I. Lichtman, HNN-extensions of Lie algebras, Proc. Amer. Math. Soc., 125 (1997), 3501-3508.

[14] With L.M.V. Figueiredo and J.Z. Goncalves, Free group algebras in certain division rings, J. Algebra 185 (1996), 298-313.

[15] With J. Z. Goncalves, On free group algebras in division rings with uncountable center, Proc. Amer. Math. Soc. 124 (1996), 685-687.

[16] The finite inner automorphism groups of division rings, Math. Proc. Camb. Phil. Soc. 118 (1995), 207-213.

[17] The structure of simple rings generated by finite metabelian groups, J. Algebra 169 (1994), 686-712.

[18] With H. J. Van Roessel, The mass-conserving solutions of Smoluchowski's coagulation equation, Z. angew Math. Phys. 43 (1992), 526-535.

[19] On conjugacy separability of fundamental groups of graphs of groups, Trans. Amer. Math. Soc. 334 (1992), 229-243.

[20] With T. D. Rogers, On ergodic one-dimensional cellular automata, Comm. Math. Phys. 136 (1991), 599-605.

[21] With K. E. Hare, The semisimplicity problem for p-adic group algebras, Proc. Amer. Math. Soc. 108 (1990), 653-664.

[22] With T. D. Rogers, An ergodic family of maps on sequence spaces, Physica D 44 (1990), 131-148.

[23] With B. A. F. Wehrfritz, On skew linear groups associated with certain soluble-by-finite groups, Can. Math. Bull. 32 (1989), 505-508.

[24] A converse to a residual finiteness criterion of G. Baumslag, Proc. Amer. Math. Soc. 104 (1988), 703-706.

[25] With T. D. Rogers, Ergodic endomorphisms of compact abelian groups, Comm. Math. Phys. 118 (1988), 401-410.

[26] With J. D. R. Stock, On mass conserving solutions of the discrete coagulation equation, J. Phys. A21 (1988), 1069-1078.

[27] On residually finite graph products of groups, J. Pure Appl. Algebra 49 (1987), 281-282.

[28] With B. A. F. Wehrfritz, "Skew Linear Groups", Cambridge University Press, 1986.

[29] On residually finite HNN-extensions, Arch. Math. 44 (1985), 110- 115.

Department of Mathematical and Statistical Sciences
University of Alberta
632 Central Academic Building
Edmonton, AB T6G 2G1
Phone: 780.492.3396
Fax: 780.492.6826
Last modified 4.03.02

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