Research Papers

Representation theory & Hochschild cohomology

  • (with Aslak Bakke Buan, Henning Krause and Oeyvind Solberg) Support varieties - an axiomatic approach. Mathematische Zeitschrift, 2019. Online. (arXiv:1710.08685)
  • (with Karin Erdmann, Edward L. Green and Rachel Taillefer) Stable Green Ring of the Drinfeld Doubles of the Generalised Taft Algebras (Corrections and New Results). Algebras and Representation Theory, 2018. Online. (arXiv:1609.03831)
  • (with Joanne Leader) The Ext algebra and a new generalisation of D-Koszul algebras. Quart. J. Math. 68 (2017), 433-458. (arXiv:1506.01854)
  • (with Edward L. Green, Sibylle Schroll and Rachel Taillefer) The Ext algebra of a Brauer graph algebra. Journal of Noncommutative Geometry 11 (2017), 537-579. (arXiv:1302.6413)
  • (with Edward L. Green, Oeyvind Solberg and Dan Zacharia) On the diagonal subalgebra of an Ext algebra. J. Pure and Applied Algebra 221 (2017), 847-866. (arXiv:1412.4953)
  • (with Rachel Taillefer) Classification of symmetric special biserial algebras with at most one non-uniserial indecomposable projective. Proc. Edinburgh Math. Soc. 58 (2015), 739–767. (arXiv:1205.5119)
  • (with Edward L. Green and Sibylle Schroll) Group actions and coverings of Brauer graph algebras. Glasgow Math. J. 56 (2014), 439-464. (arXiv:1112.2199)
  • (with Alison Parker) A family of Koszul self-injective algebras with finite Hochschild cohomology, J. Pure and Applied Algebra 216 (2012), 1245-1252. (arXiv:1105.2215)
  • (with Sibylle Schroll) Hochschild cohomology and support varieties for tame Hecke algebras, Quart. J Math. 62 (2011), 1017-1029. (arXiv:0907:3435)
  • (with Takahiko Furuya) Support varieties for modules over stacked monomial algebras, Comm. Algebra 39 (2011) 2926-2942. (arXiv:0903.5170)
  • (with Rachel Taillefer) Hochschild cohomology of socle deformations of a class of Koszul self-injective algebras, Colloquium Mathematicum 119 (2010), 79-93. (arXiv:0905:2746)
  • (with Rachel Taillefer) The Hochschild cohomology ring of a class of special biserial algebras, J. Algebra Appl. 9 (2010), 73-122. (arXiv: 0803.1536)
  • Support varieties and the Hochschild cohomology ring modulo nilpotence, Proceedings of the 41st Symposium on Ring Theory and Representation Theory, 68-82, Ed. H. Fujita, Tsukuba, Japan, 2009. (arXiv 0811.4506)
  • (with Edward L. Green and John Hunton) Coverings, the graded center and Hochschild cohomology, J. Pure and Applied Algebra 212 (2008), 2691-2706.
  • (with Ragnar-Olaf Buchweitz, Edward L. Green and Oeyvind Solberg) Multiplicative structures for Koszul algebras, Quart. J Math. 59 (2008), 441-454.
  • (with Edward L. Green, Oeyvind Solberg and Dan Zacharia) Noetherianity and Ext, J. Pure and Applied Algebra 212 (2008), 1612-1625.
  • (with Edward L. Green) Finite generation of Ext for a generalisation of D-Koszul algebras, J. Algebra 295 (2006), 458-472.
  • (with Karin Erdmann, Edward L. Green and Rachel Taillefer) Representation theory of the Drinfeld doubles of a family of Hopf algebras, J. Pure and Applied Algebra 204 (2006), 413-454.
  • (with Edward L. Green and Oeyvind Solberg) The Hochschild cohomology ring modulo nilpotence of a monomial algebra, J. Algebra Appl. 5 (2006), 153-192.
  • (with Edward L. Green) The Hochschild cohomology ring modulo nilpotence of a stacked monomial algebra, Colloquium Mathematicum 105 (2006), 233-258.
  • (with Karin Erdmann, Miles Holloway, Oeyvind Solberg and Rachel Taillefer) Support Varieties for Selfinjective Algebras, K-Theory 33 (2004), 67-87.
  • (with Oeyvind Solberg) Support Varieties and Hochschild Cohomology Rings, Proc. London Math. Soc. (3) 88 (2004), 705-732.
  • (with Edward L. Green) Projective Bimodule Resolutions of an Algebra and Vanishing of the Second Hochschild Cohomology Group , Forum Math. 16 (2004), 17-36.
  • (with Steffen Koenig and Katsunori Sanada) On Hochschild cohomology of orders, Archiv der Mathematik 81 (2003), 627-635.
  • (with Edward L. Green and Oeyvind Solberg) The Hochschild cohomology ring of a selfinjective algebra of finite representation type , Proc. Amer. Math. Soc. 131 (2003), 3387-3393.
  • (with Edward L. Green and Eduardo N. Marcos) The Hochschild cohomology ring of a one-point extension, Comm. Algebra 31 (2003), 357-379.
  • (with Karin Erdmann and Thorsten Holm) Twisted bimodules and Hochschild cohomology for self-injective algebras of class A_n, II, Algebras and Representation Theory 5 (2002), 457-482.
  • (with Karin Erdmann) Preprojective algebras of Dynkin type, periodicity and the second Hochschild cohomology, Canad. Math. Soc. Conference Proceedings 24 (1998), 183-193.
  • (with Karin Erdmann) On Hochschild cohomology of preprojective algebras I, J. Algebra 205 (1998), 391-412.
  • (with Karin Erdmann) On Hochschild cohomology of preprojective algebras II, J. Algebra 205 (1998), 413-434.

 

Reflexivity and endomorphism rings

     

  • (with J.F. Watters) Skew polynomials and algebraic reflexivity , Glasgow Math. J. 45 (2003), 7-9.
  • Reflexivity for modules over QF-3 algebras, Comm. Algebra 26 (1998), 4233-4242.
  • Chain ends, QF-2 algebras and reflexivity, Comm. Algebra 23 (1995), 4109-4123.
  • Reflexivity of left serial algebras, in Abelian groups and Modules, Ed. A Facchini and C Menini, Mathematics and its Applications vol 343, Kluwer Academic Publishers (1995), 453-457.
  • (with J.F. Watters) Reflexive bimodules and linear compactness, Comm. Algebra 22 (1994), 6025-6035.
  • Scalar-reflexivity and FGC rings, J. Algebra 165 (1994), 380-388.
  • Alglat for modules over FSI rings, J. Algebra 158 (1993), 130-148.
  • Two questions on scalar-reflexive rings, Proc. Amer. Math. Soc. 116 (1992), 921-927.

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