Dr Justin McInroy
Senior Lecturer in Mathematics Programme Lead for MSc Mathematics
Justin is an algebraist with broad interests throughout algebra, group theory and combinatorics, both theoretical and computational.
Justin McInroy joined Chester as a Lecturer in 2022 and was promoted to Senior Lecturer a year later, he is also currently the Programme Lead for MSc Mathematics. Previously he was at Bristol as a Teaching Associate in Pure Mathematics and for 8 years as a Heilbronn Research Fellow. Before that he was a Teaching Fellow at Leicester and a Lecturer in Pure Mathematics at Lincoln College, Oxford, having completed his PhD at Birmingham.
His Erdos number is 3.
This year I am teaching:
- 1st year Computation, Communication and Employability (LaTeX, Python programming and employability skills)
- 1st year Introduction to Pure Mathematics and Calculus (the calculus part)
- 2nd year Linear Algebra I
- 3rd year Group Theory
- MSc (postgraduate) ICT for Mathematics Research (the Python programming part)
I also supervise a number of 3rd year projects and MSc dissertations.
I am an algebraist with broad interests throughout algebra, group theory and combinatorics, both theoretical and computational. Recently I have been working on classes of non-associative algebras with strong natural links to groups, such as axial algebras and code algebras. These also have links to VOAs and Monstrous Moonshine.
I am also interested in Clifford algebras, buildings, fusion systems, group amalgams, incidence geometries, coding theory and cluster algebras.
Please get in contact if you want to talk mathematics.
Quotients of the Highwater algebra and its cover, with Clara Franchi and Mario Mainardis, arXiv:2205.02200, 46 pages, May 2022.
3-generated axial algebras with a minimal Miyamoto group, arXiv:2004.11773, 11 pages, Apr 2020.
Axial algebras of Jordan and Monster type, with Sergey Shpectorov, Proceedings of Groups St Andrews 2022, to appear, arXiv :2209.08043, 40 pages.
From forbidden configurations to a classification of some axial algebras of Monster type, with Sergey Shpectorov, Journal of Algebra 627 (2023), 58–105.
Split spin factor algebras, with Sergey Shpectorov, J. Algebra 595 (2022), 380--397.
Enumerating 3-generated axial algebras of Monster type, with Sanhan Khasraw and Sergey Shpectorov, J. Pure Appl. Algebra 226 (2022), no. 2, 21 pages.
Miyamoto groups of code algebras, with Alonso Castillo-Ramirez, J. Pure Appl. Algebra 225 (2021), no. 6, 19 pages.
An expansion algorithm for constructing axial algebras, with Sergey Shpectorov, J. Algebra 550 (2020), 379--409.
On the structure of axial algebras, with Sanhan Khasraw and Sergey Shpectorov, Trans. Amer. Math. Soc. 373 (2020), 2135--2156.
Code algebras which are axial algebras and their Z_2-gradings, with Alonso Castillo-Ramirez, Isr. J. Math. 233 (2019), 401--438.
Code algebras, axial algebras and VOAs, with Alonso Castillo-Ramirez and Felix Rehren, J. Algebra 518 (2019), 146--176.
Vahlen groups over commutative rings, Math. Z. 284 (2016), no. 3, 901--917.
On Sidki's presentation for orthogonal groups, with Sergey Shpectorov, J. Algebra 434 (2015), 227--248.
An amalgam uniqueness result for recognising q^6:SU_3(q), G_2(q), or 3.M_{10} using biaffine polar spaces, J. Algebra 400 (2014), 105--122.
New flag-transitive geometries for the groups Sp_4(K) and SU_5(K), with Harm Pralle and Sergey Shpectorov, Geom. Dedicata 173 (2014), no. 1, 65--82.
Biaffine polar spaces, Adv. Geom. 13 (2013), no. 3, 449--469.
On the simple connectedness of hyperplane complements in dual polar spaces, II, with Sergey Shpectorov, Discrete Math., 310 (2010), no. 8, 1381--1388.
- PhD, University of Birmingham
- MMath, University of Warwick