# Research Papers

## Representation theory & Hochschild cohomology

- (with Aslak Bakke Buan, Henning Krause and Oeyvind Solberg)
*Support varieties - an axiomatic approach*. 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.