Magdalene College Cambridge

Professor Stuart Martin

Professor Stuart Martin is the Senior Tutor and Professor of Pure Mathematics at Magdalene College.

He is also a College Admissions Tutor, an Affiliated Lecturer at the Department of Pure Mathematics and Mathematical Statistics, and the Director of Studies in Mathematics for Part IB.

Professor Martin holds degrees from the Universities of Glasgow, Oxford and Cambridge. As the Snell Scholar at Balliol College, Oxford he worked for his DPhil under Karin Erdmann. He obtained his doctorate in 1988 while a Lecturer of the House at Christ Church, Oxford then became the Harold Salvesen Research Fellow at New College, Oxford. He came to Magdalene in 1990 and continues research and to publish in modular representation theory of finite and algebraic groups (a branch of modern algebra). He also has interests in finite-dimensional algebras such as the Schur algebra and its quantum variants and in the combinatorics of quivers.

He teaches all aspects of pure mathematics (algebra, geometry, topology, analysis) and some topics in applicable mathematics (probability, statistics, portfolio theory and stochastic finance). For many years he has acted as a consultant in the City to quantitatively-driven hedge funds and, more recently to funds of hedge funds.

Selected Publications

Integral Schur-Weyl duality for partition algebras
C Bowman, S Doty, S Martin (2020)

An integral second fundamental theorem of invariant theory for partition algebras
C Bowman, S Doty, S Martin – Representation Theory of the American Mathematical Society (2020) 26, 437
http://doi.org/10.1090/ert/593

On the p' -Subgraph of the Young Graph
E Giannelli, S Law, S Martin – Algebras and Representation Theory (2018) 22, 627
http://doi.org/10.1007/s10468-018-9791-7

Quiver and Relations for the Principal p‐Block of σ2p
K ERDMANN, S MARTIN – Journal of the London Mathematical Society (2016) 49, 442
http://doi.org/10.1112/jlms/49.3.442

Decomposition of Tensor Products of Modular Irreducible Representations for SL3SL3: the p≥5p≥5 case
C Bowman, SR Doty, S Martin – arXiv (2015) 17, 105
http://doi.org/10.24330/ieja.266215

A Reciprocity Result for Projective Indecomposable Modules of Cellular Algebras and BGG Algebras
C Bowman, S Martin – Journal of Lie Theory (2012) 22, 1065
http://arxiv.org/abs/1006.2655

EXT1 SPACES FOR GENERAL LINEAR AND SYMMETRICAL GROUPS
S MARTIN – Proceedings of the Royal Society of Edinburgh Section A Mathematics (2011) 119, 301
http://doi.org/10.1017/S0308210500014852

Ext spaces for general linear and symmetric groups
S Martin – Proceedings of the Royal Society of Edinburgh: Section A Mathematics (2011) 119, 301
http://doi.org/10.1017/S0308210500014852

Decomposition of tensor products of modular irreducible representations for SL33 (with an appendix by C.M. Ringel)
S Martin, C Bowman, SR Doty – International Electronic Journal of Algebra (2011) 9, 177

Hook modules for general linear groups
S Doty, S Martin – Archiv der Mathematik (2009) 92, 206
http://doi.org/10.1007/s00013-009-2789-y

Related websites

Department of Pure Mathematics and Mathematical Statistics: Professor Stuart Martin
Professor Stuart Martin