The University of Sheffield
School of Mathematics and Statistics
Hicks Building
Sheffield
S3 7RH
United Kingdom
Office: J18a
Email Address: d.j.barnes {at} sheffield {dot} ac {dot} uk
Telephone number: 0114 2223844
I am an EPSRC-funded postdoctoral research fellow at the University of Sheffield working with John Greenlees. I study algebraic topology, specifically equivariant stable homotopy theory. I am also interested in model categories, enriched category theory and homotopical algebra. Details of the EPSRC project can be found here.
Model Categories for Orthogonal Calculus, preprint, joint work with Peter Oman, 2011.
Rational Z_p-Equivariant Spectra, preprint, 2010.
Rational Equivariant Rigidity, preprint, joint work with Constanze Roitzheim, 2010.
Monoidality of Franke's Exotic Model, preprint, joint work with Constanze Roitzheim, 2010.
Classifying Rational G-Spectra for Finite G, Homology, Homotopy and Applications, Volume 11(1) 2009.
Splitting Monoidal Stable Model Categories, Journal of Pure and Applied Algebra, Volume 213, Issue 5, May 2009.
Classifying Dihedral O(2)-Equivariant Spectra, Preprint, April 2008, available as arXiv:0804.3357v1.
Rational Equivariant Spectra, Thesis, January 2008, available as arXiv:0802.0954v1.
Orthogonal Calculus and Model Categories, University of Glasgow, Geometry and Topology Seminar, February 2011.
Monoidality of Exotic Models, University of Sheffield, Topology Seminar, October 2010.
Modelling Localisations of Spectra, University of Copenhagen, Topology Seminar, February 2010.
Rational equivariant spectra for profinite groups, University of Western Ontario, Geometry and Topology Seminar, November 2009.
Algebraic Models for Rational Equivariant Spectra, University of Chicago, Topology Seminar, April 2009.
Splitting Monoidal Stable Model Categories, University of Western Ontario, Geometry and Topology Seminar, January 2009.
Algebraic Models for Rational Equivariant Spectra, University of Hamburg, Kolloquium über Reine Mathematik, April 2008.
Rational O(2)-Equivariant Spectra, University of Bonn, Topology Seminar, July 2007.
O(2)-Equivariant Cohomology Theories, British Mathematical Colloquium, Algebraic Topology Special Session, April 2007.
Splitting Rational Equivariant Cohomology Theories, British Mathematical Colloquium, Algebraic Topology Splinter Group, April 2006.
An eighteen-month postdoctoral position at the University of Western Ontario working with Rick Jardine.
An eleven-month postdoctoral position at the Max Planck Institute for Mathematics working with Stefan Schwede.
I received my Ph.D. in January 2008 from University of Sheffield under the supervision of John Greenlees.
I received a first class Master of Mathematics degree in June 2004 from the University of Warwick .
xkcd, a webcomic of romance, sarcasm, math, and language.
The Professor's song by Tom Lehrer.
A simple game about four colouring maps.