Stuart Martin
Stuart Martin
I hold Mathematical degrees from the
Universities of Glasgow, Oxford and Cambridge and was Snell
Scholar at Balliol, a Lecturer of the House at Christ Church and
H. Salvesen Research Fellow at New College. My doctoral thesis appeared in 1988 and I was the first student ever supervised by Karin Erdmann.
Since 1990 I have been an Official
Fellow of Magdalene College, where I am the Director of Studies in
Mathematics. I am also a member of the Department of Pure Mathematics and Mathematical Statistics where I hold the title of Affiliated Lecturer.
My research lies in the
representation theory of finite and algebraic groups.
In particular the representation theory of the
symmetric groups, Schur algebras, Hecke algebras and
other diagram algebras, together with the associated
algebraic combinatorics.
Email: sm137 at cam dot ac dot uk
Magdalene College
Cambridge
CB3 0AG
DPMMS
Centre for Mathematical Sciences
Wilberforce Road
Cambridge
CB3 0WB
As Director of Studies in Mathematics at Magdalene, I teach all aspects of the pure and applicable course in all parts of the Tripos.
In Lent Term 2018 I lectured Part II Representation Theory. Past lecture notes and example sheets are here.
In
Lent Term 2018 I also lectured Part III Modular Representation Theory, an introduction to representations of finite groups over fields of non-zero characteristic. Example sheets should appear here. (Cambridge domain only).
I have acted as PhD supervisor to a number of students,
including Tan Kai Meng who is at the National University of
Singapore, Matt Fayers who is at Queen Mary,
London, Chris Bowman who is at the University of Kent
and Amit Hazi who is at the University of Leeds. My
current research student is Stacey Law.
A handful of recent papers in which I have
been involved are
listed below.
•An integral second fundamental theorem of invariant theory for partition algebras. (2018) arXiv preprint. [pdf]
Chris Bowman, Stephen Doty, Stuart Martin
•On the p′-subgraph of the Young graph. (2017) Algebras and Representation Theory, DOI: 10.1007/s10468-018-9791-7. [pdf]
Eugenio Giannelli, Stacey Law, Stuart Martin
•Integral Schur--Weyl Duality
for partition algebras. (2018) manuscript.
Chris Bowman, Stephen Doty, Stuart Martin