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**, Communications in Algebra (2019) (notes)*p*-subgroups**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