During the last year I have been writing a paper with Bernhard Köck and Lenny Taelman about a new approach to exterior power operations on higher algebraic K-groups.
Yesterday we uploaded a preprint of the article to the arXiv: Exterior power operations on higher K-groups via binary complexes.
Here I’ll try to explain a little bit of what it’s about.
Continue reading Exterior powers via binary complexes
My friends Lewis Wood and Zoe Portnell got married yesterday in the Pantheon temple at Stourhead gardens. I was lucky enough to be involved in the day’s proceedings, as they very kindly asked me to be one of the ushers.
Continue reading Lewis and Zoe's wedding
Here’s a report on some races I took part in this Spring: the Eastleigh 10k on March 20th, the Pen Selwood Tough 10k a fortnight later, the Southampton half marathon on April 24th, and the Endure 24 hour relay on the 11th—12th of June.
Continue reading Race reports for Spring 2016
A quick note to say that I am now a doctor (and have been since 3pm-ish on
Wednesday 9 September). You can read my thesis
here. The examiners were Marco Schlichting
from Warwick and Peter Kropholler from Southampton. The viva lasted about an
hour and a half and I was given no official corrections (though there were a
few typos to fix). In the evening we had dinner in a Thai restaurant, then went
to the Butcher’s Hook for some celebratory beers. It’s weird being a doctor.
I thought I’d feel cleverer by now.
Continue reading Dr Harris
A couple of weeks ago I attended a summer school on the Isle of Skye, organised
by the Anglo-Franco-German representation theory network. The aim of the school
was to understand the following theorem of Benson, Carlson, and Rickard: that
thick tensor ideals of the stable module category of a finite group are
classified by the specialisation closed subsets of the projective variety
associated with the cohomology ring of the group.
In particular we studied a new proof of this
theorem due to Carlson and Iyengar.
Continue reading Groups, representations, and cohomology on Skye