Dr Justin Mcinroy

Biography

Justin is a Senior Lecturer in Mathematics and the Programme Leader for the postgraduate MSc Mathematics programme. He is a mathematician with broad interests across algebra, group theory and combinatorics, both theoretic and computational. Justin is also an Honorary Research Fellow at the University of Bristol. His Erdos number is three.

Teaching and Supervision

Justin teaches a wide range of subjects from group theory and linear algebra to mathematical programming at an undergraduate and postgraduate level. He also teaches about how to read, write and learn mathematics. He is keen to hear from any potential PhD students who wish to research in the area of algebra.

Research and Knowledge Exchange

Justin is a mathematician with broad interests throughout algebra, group theory and combinatorics. A common theme of his work involves exploring the links between a group of symmetries of an object and the structure of the object itself, such as a geometry or algebra. He uses both theoretical and computation techniques and has extensive experience programming in Python, Magma and GAP. Recently his research has focused on some interesting classes of non-associative algebra, such as axial algebras. These have motivations coming from Monstrous Moonshine and mathematical physics, such as string theory and VOAs. In addition to examples from algebra, recently examples have been found across mathematics including in the theory of non-linear PDEs and Ricci flows on manifolds. Other interests include (in no particular order): non-associative algebras, particularly axial and code algebras; finite groups, classical and sporadic; p-local analysis; fusion systems; group amalgams; diagram geometries; buildings; combinatorics; coding theory; VOAs; Clifford algebras and cluster algebras.

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