Department of Pure Mathematics
Queen's University Belfast
University Road
Belfast
BT7 1NN
Office: David Bates Building, 02.032
Email Address: d.barnes {at} qub {dot} ac {dot} uk
Telephone number: 028 9097 6020
I am a lecturer in pure mathematics at Queen's University Belfast. I study algebraic topology, specifically equivariant stable homotopy theory. I am also interested in model categories, enriched category theory and homotopical algebra.
Monoidality of Franke's Exotic Model, Joint with C. Roitzheim C. Roitzheim, Advances in Mathematics, Volume 228, 2011, 26 pages.
Rational Z_p-Equivariant Spectra, Algebraic & Geometric Topology, Volume 11, 2011, 30 pages.
Local Framings, Joint with C. Roitzheim C. Roitzheim, New York Journal of Mathematics, Volume 17, 2011, 40 pages.
Classifying Rational G-Spectra for Finite G, Homology, Homotopy and Applications, Volume 11(1) 2009, 30 pages.
Splitting Monoidal Stable Model Categories, Journal of Pure and Applied Algebra, Volume 213, Issue 5, May 2009, 11 pages.
Model Categories for Orthogonal Calculus, Preprint with Peter Oman, August 2012, 36 pages.
Stable left and right Bousfield localisations, Preprint with C. Roitzheim, April 2012, 30 pages.
Classifying Rational O(2)-Spectra, Preprint, January 2012, 55 pages.
Rational Equivariant Spectra, Thesis, January 2008.
Model Categories for Orthogonal Calculus, Fourth Arolla Conference on Algebraic Topology Switzerland, August 2012
Monoidality of Exotic Models, Structured Ring Spectra - TNG Universitat Hamburg, August 2011
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.
A three-year research position at the University of Sheffield working with John Greenlees. Details of the project can be found here.
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 the 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 .