Preprints and recent papers

• Available as pdf, dvi or postscript files below, or on the arXiv (most papers written since 2000 have been posted on the arXiv)

• Efficient recognition of totally nonnegative matrix cells, with Stephane Launois
  Click here for .pdf file or here for xxx archive

• Automorphisms of quantum matrices, with Stephane Launois, to appear in the Glasgow Mathematical Journal
  Click here for .pdf file or here for xxx archive

• From totally nonnegative matrices to quantum matrices and back, via Poisson geometry, with Stephane Launois, to appear in the Proceedings of the Belfast Workshop on Algebra, Combinatorics and Dynamics 2009
  Click here for .pdf file or here for xxx archive.

• The traces of quantum powers commute, with Matyas Domokos
  Click here for .ps file or here for .dvi file or here for xxx archive

• Nil algebras with restricted growth, with Agata Smoktunowicz and Alexander Young, Proceedings of the Edinburgh Mathematical Society 55 (2012), 461-475
  Click here for .pdf file or here for xxx archive

• LU decomposition of totally nonnegative matrices, with Ken Goodearl, Linear Algebra and its Applications, 436 (2012), 2554-2566 Click here for .pdf file or here for xxx archive

• Primitive ideals in quantum SL(3) and GL(3), with Ken Goodearl, Proceedings of the conference New Trends in Noncommutative Algebra, AMS Contemporary Maths, 562 (2012), 115-140
  Click here for .pdf file or here for xxx archive

• Twisting the quantum grassmannian, with Stephane Launois, Proc Amer Math Soc 139 (2011), 99-110
  Click here for .pdf file or here for xxx archive or here for the journal article

• Totally nonnegative cells and matrix Poisson varieties, with Ken Goodearl and Stephane Launois, Advances in Mathematics 226 (2011) 779-826.
  Click here for .pdf file or here for xxx archive or here for the journal article
  A pdf file of the published version is available on request from the authors.

• Torus-invariant prime ideals in quantum matrices, totally nonnegative cells and symplectic leaves, with Ken Goodearl and Stephane Launois, Mathematische Zeitschrift 269 (2011), 29-45 (doi:10.1007/s00209-010-0714-5)
  Click here for .pdf file or here for xxx archive or here for the journal article

• Mini-Workshop: Non-Negativity is a Quantum Phenomenon, Organized by: Stephane Launois and Thomas H. Lenagan, Oberwolfach Reports (2009) Vol 6, Issue 1, 767--800
  Click here for .pdf file or here for the journal article

• Cyclic orders on the quantum grassmannian, with Ewan Russell, Arabian Journal for Science and Engineering (Section C: theme issue -- Interactions of algebraic and coalgebraic structures), 33 (2008), 337-350
  Click here for .pdf file or here for xxx archive or here for the journal article

• Quadratic and cubic invariants of unipotent affine automorphisms, with Vladimir Bavula, Journal of Algebra 320 (2008) 4132-4155
  Click here for .pdf file or here for xxx archive

• Prime ideals in the quantum grassmannian, with Stephane Launois and Laurent Rigal, Selecta Mathematica 13 (2008), 697-725
  Click here for .pdf file or here for xxx archive

• Quantum analogues of Schubert varieties in the grassmannian, with Laurent Rigal, Glasgow Mathematical Journal 50 (2008), 55-70
  Click here for .pdf file or here for xxx archive

• An infinite dimensional affine nil algebra with finite Gelfand-Kirillov dimension, with Agata Smoktunowicz, Journal of the American Mathematical Society, 20 (2007), 989-1001
  Click here for .pdf file or here for xxx archive or here for the journal article

• The first Hochschild cohomology group of quantum matrices and the quantum special linear group, with Stephane Launois, Journal of Noncommutative Geometry 1 (2007), 281-309
  Click here for .pdf file or here for xxx archive

• Quantised coordinate rings of semisimple groups are unique factorisation domains, with Stephane Launois, Bulletin of the London Mathematical Society 39 (2007), 433--438
  Click here for .pdf file or here for xxx archive

• Primitive ideals and automorphisms of quantum matrices, with Stephane Launois, Algebras and Representation Theory 10 (2007), 339-365
  Click here for .pdf file or here for .dvi file or here for xxx archive

• Quantum unique factorisation domains, with Stephane Launois and Laurent Rigal, J London Math Soc 74 (2006), 321-340
  Click here for .pdf file or here for .dvi file or here for xxx archive

• Quantum graded algebras with a straightening law and the AS-Cohen-Macaulay property for quantum determinantal rings and quantum grassmannians, with Laurent Rigal, J Algebra 301 (2006) 670-702
  Click here for .pdf or here for xxx archive. Please note that there are slight changes between the arxiv version and the published paper. The .pdf version here corresponds to the published version.

• Quantized trace rings, with Matyas Domokos, Quarterly Journal of Maths 56 (2005), 507-523
  Click here for .ps file or here for .pdf file or here for .dvi file or here for xxx archive

• Quantized coinvariants at transcendental q, with Ken Goodearl, in Hopf algebras in noncommutative geometry and physics, 155--165, Lecture Notes in Pure and Appl. Math., 239, Dekker, New York, 2005
  Click here for .ps file or here for .pdf file or here for .dvi file or here for xxx archive

• Representation rings of quantum groups, with Matyas Domokos, Journal of Algebra 282 (2004), 103-128
  Click here for .ps file or here for .pdf file or here for .dvi file or here for xxx archive

• Ring theoretic properties of quantum grassmannians, with Ann Kelly and Laurent Rigal, Journal of Algebra and its Applications 3 (2004), 9-30
  Click here for .ps file, .dvi file, .pdf file, or here for xxx archive
  Click here for Corrigenda, 3 (2004) 219

• The maximal order property for quantum determinantal rings, with Laurent Rigal, Proceedings of the Edinburgh Mathematical Society 46 (2003), 513-529
  Click here for .ps file or here for .pdf file or here for .dvi file or here for xxx archive

• Weakly multiplicative coactions of quantized function algebras, with Matyas Domokos, Journal of Pure and Applied Algebra 183 (2003), 45-60
  Click here for .ps file or here for .pdf file or here for .dvi file or here for xxx archive

• Orbits for the adjoint coaction on quantum matrices, with Matyas Domokos and Rita Fioresi, Journal of Geometry and Physics 47 (2003), 447-468
  Click here for .ps file or here for .pdf file or here for .dvi file or here for xxx archive

• Winding invariant prime ideals in quantum 3x3 matrices, with Ken Goodearl, Journal of Algebra 260 (2003), 657-687
  Click here for .ps file or here for .pdf file o here for .dvi file or here for xxx archive

• Conjugation coinvariants of quantum matrices, with Matyas Domokos, Bulletin of the London Mathematical Society 35 (2003), 117-127
  Click here for .ps file or here for .pdf file or here for .dvi file

• Prime ideals invariant under winding automorphisms in quantum matrices, with Ken Goodearl, International Journal of Mathematics 13 (2002), 497-532
  Click here for .ps file or here for .pdf file or here for .dvi file or here for xxx archive

• Dimensions of quantum determinantal rings, with Laurent Rigal, Glasgow Math. Journal 44 (2002), 285-292
  Click here for .pdf file or here for the journal article

• Generalized Weyl Algebras are Tensor Krull Minimal, with Vladimir Bavula, Journal of Algebra 239 (2001), 93-111
  Click here for .ps file or here for .pdf file or here for .dvi file

• Krull dimension of Generalised Weyl Algebras with noncommutative coefficients, with Vladimir Bavula, Journal of Algebra 235 (2001), 315-358
  Click here for .ps file or here for .pdf file or here for .dvi file

• The First Fundamental Theorem of Coinvariant Theory for the Quantum General Linear Group, with Ken Goodearl and Laurent Rigal, Publ. Research Inst. Math. Sci. Kyoto 36 (2000), 269-296
  Click here for .ps file or here for .dvi file or here for xxx archive

• Poincaré series of multifiltered algebras and partitivity, with José Gómez Torrecillas, J. London Math. Soc., 62 (2000), 370-380.
  Click here for .ps file or here for .dvi file

• Dimension theory of noetherian rings, Infinite length modules (Bielefeld, 1998), 129--147, Trends Math., Birkhduser, Basel, 2000
  Click here for .ps file or here for .dvi file

• Prime ideals in certain quantum determinantal rings, with Ken Goodearl, in Interactions between Ring Theory and Representations of Algebras (Murcia, 1998) (F. Van Oystaeyen and M. Saorin, Eds.), New York (2000) Dekker, pp. 239-251
  Click here for .pdf file or here for .dvi file or here for xxx archive

• Quantum Determinantal Ideals, with Ken Goodearl, Duke Math. J. 103 (2000) 165-190
  Click here for .pdf file or here for .dvi file

Growth of Algebras and Gelfand-Kirillov dimension, with Günter Krause

A revised edition of this book has been published by the American Mathematical Society:

Graduate Studies in Mathematics, 22. American Mathematical Society, Providence, RI, 2000. x+212 pp. ISBN: 0-8218-0859-1