I am currently a research fellow at the University of Manchester with a main interest in the representation theory of finite dimensional algebras and a secondary focus on axial algebras and their links to group theory.
I completed my PhD in 2015 under the supervision of Jeremy Rickard with a thesis entitled On separable equivalence of finite dimensional algebras. In 2016, after a year away from research to study for a PGCE, I started a research fellowship at the University of Bristol and then in 2019 I took a similar post at the University of Manchester.
Teaching
Talks
- Decomposition algebras and the Monster group, Junior algebra seminar, Bristol, 2019 (notes)
- Decomposition algebras and the Monster group, Mathematics Seminar, Birkbeck University of London, 2019 (notes)
- Bounding the representation dimension of group algebras with elementary abelian Sylow group, International Conference on Representations of Algebras, 2018
- Five slides on infinity, Prepared for 8 out of 10 maths, 2018 (slides)
- Separable equivalence and representation dimension, London Algebra Colloquium, 2018
- Representations of quivers, University of South Wales, January 2017
- Separable equivalences for finite-dimensional algebras, BLOC 71, Oxford, December 2015
- An introduction to separable equivalence, Postgraduate Group Theory Conference 2014 (slides)
- Airspeed velocity of an unladen swallow, Bristol Two-Minute Talks, 2014 (slides)
- Quivers and representation type, Bristol Postgraduate Pure Seminar, 2014 (notes)
- Why doesn’t one of them cycle faster?, Bristol Two-Minute Talks, 2013 (slides)
- Diagram chasing with lizards, Bristol Postgraduate Pure Seminar, 2013 (notes)
- Representations of quivers, Bristol MINGLE 2012 (slides)
Papers and personal notes
- Decomposition algebras and axial algebras, arXiv:1905.03481 (2019) (notes)
- An upper bound for the representation dimension of group algebras with elementary abelian Sylow p-subgroups, Communications in Algebra (2019) (notes)
- Separable equivalence, complexity and representation type, Journal of Algebra 490 (2017) (notes)
- Quivers, functor category and almost-split sequences (notes)
Thesis
- On separable equivalence of finite dimensional algebras (notes)
Contact
- simon.peacock@manchester.ac.uk
- Mastodon
- @simon@gdsocial.uk
- Snail Mail
- Simon Peacock
Alan Turing Building: Office 2.116
Department of Mathematics
University of Manchester
Oxford Road
Manchester
M13 9PL
