Nicole Snashall

Emeritus Professor of Pure Mathematics

email: njs5(at)le.ac.uk

Personal details

I am Emeritus Professor of Pure Mathematics at the University of Leicester.

Research

My research interests are in the representation theory of finite-dimensional algebras, particularly in studying Hochschild cohomology and the Ext algebra. This includes finiteness conditions, support varieties, and cohomology rings for specific classes of algebras including generalisations of Koszul algebras.

Recent publications (since 2010)

• (with Ruaa Jawad) Hochschild cohomology, finiteness conditions and a generalisation of d-Koszul algebras. Journal of Algebra and its Applications (to appear). (arXiv 2001.09883)
• (with Aslak Bakke Buan, Henning Krause and Oeyvind Solberg) Support varieties - an axiomatic approach. Mathematische Zeitschrift, 295 (2020) 395-426. (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, 22 (2019) 757-783. (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)