People

Professor Nicole Snashall

Emeritus Professor of Pure Mathematics

School/Department: Computing and Mathematical Sciences, School of

Telephone: +44 (0)116 229 7407

Email: njs5@leicester.ac.uk

Profile

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.

Publications

Selected publications
1) Ruaa Jawad, Nicole Snashall and Rachel Taillefer, A combinatorial characterisation of d-Koszul and (D,A)-stacked monomial algebras that satisfy (Fg), arXiv 2301.05476.
2) Ruaa Jawad and Nicole Snashall, Hochschild cohomology, finiteness conditions and a generalisation of d-Koszul algebras. J. Algebra Appl. 21 (2022) 2250147 (18 pages).
3) Aslak Bakke Buan, Henning Krause, Nicole Snashall and Oeyvind Solberg, Support varieties - an axiomatic approach, Mathematische Zeitschrift, 295 (2020) 395-426.
4) Karin Erdmann, Edward L. Green, Nicole Snashall 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. 
5) Joanne Leader and Nicole Snashall, The Ext algebra and a new generalisation of D-Koszul algebras. Quart. J. Math. 68 (2017), 433-458. 
6) Edward L. Green, Sibylle Schroll, Nicole Snashall and Rachel Taillefer, The Ext algebra of a Brauer graph algebra. Journal of Noncommutative Geometry 11 (2017), 537-579. 
7) Edward L. Green, Nicole Snashall, Oeyvind Solberg and Dan Zacharia, On the diagonal subalgebra of an Ext algebra. J. Pure and Applied Algebra 221 (2017), 847-866.
8) Nicole Snashall and Rachel Taillefer, Classification of symmetric special biserial algebras with at most one non-uniserial indecomposable projective. Proc. Edinburgh Math. Soc. 58 (2015), 739-767. 
9) Edward L. Green, Sibylle Schroll and Nicole Snashall, Group actions and coverings of Brauer graph algebras. Glasgow Math. J. 56 (2014), 439-464. 
10) Alison Parker and Nicole Snashall, A family of Koszul self-injective algebras with finite Hochschild cohomology, J. Pure and Applied Algebra 216 (2012), 1245-1252.
11) Sibylle Schroll and Nicole Snashall, Hochschild cohomology and support varieties for tame Hecke algebras, Quart. J. Math. 62 (2011), 1017-1029. 
12) Takahiko Furuya and Nicole Snashall, Support varieties for modules over stacked monomial algebras, Comm. Algebra 39 (2011) 2926-2942. 
13) Nicole Snashall and Rachel Taillefer, Hochschild cohomology of socle deformations of a class of Koszul self-injective algebras, Colloquium Mathematicum 119 (2010), 79-93. 
14) Nicole Snashall and Rachel Taillefer, The Hochschild cohomology ring of a class of special biserial algebras, J. Algebra Appl. 9 (2010), 73-122. 
15) Edward L. Green, Nicole Snashall and Oeyvind Solberg, The Hochschild cohomology ring modulo nilpotence of a monomial algebra, J. Algebra Appl. 5 (2006), 153-192.
16) Karin Erdmann, Miles Holloway, Nicole Snashall, Oeyvind Solberg and Rachel Taillefer, Support Varieties for Selfinjective Algebras, K-Theory 33 (2004), 67-87.
17) Nicole Snashall and Oeyvind Solberg, Support Varieties and Hochschild Cohomology Rings, Proc. London Math. Soc. (3) 88 (2004), 705-732.

Supervision

I am an Emeritus Professor and am no longer supervising PhD students.

Teaching

I am an Emeritus Professor and am no longer teaching any modules.

Press and media

Hochschild cohomology

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