| Andrew Stacey | |
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I am a førsteamanuensis at the Department of Mathematics at the
Norwegian University of Science and Technology, otherwise known as NTNU.
Fri, 19 Oct 2007 (Fjord) Fjorden i Dag These are pictures of the fjord taken from my office window. As well as being a fantastic view it also varies considerably from day to day. The weather changes quite quickly in Trondheim and the predominant direction is from the fjord. So one can often see what weather is coming. To misquote John Baez, I don't take a new picture every day, but when I do, it is always i dag. Actually, it's usually i kveld as I'm currently taking these pictures using a camera phone and my work machine won't talk to my phone as it's too posh (it will only talk to devices with the right connections) so I have to process the pictures at home before uploading them. That also explains why they aren't great quality. Clicking on a picture should take you to a bigger version. [/Fjord] Mon, 26 Nov 2007 (Research :: Preprints)The Hunting of the Hopf Ring (PDF or PS) Joint with Sarah Whitehouse We provide a new algebraic description of the structure on the set of all unstable cohomology operations for a suitable generalised cohomology theory, E*. Our description is as a graded and completed version of a Tall-Wraith monoid. The E*-cohomology of a space X is a module for this Tall-Wraith monoid. We also show that the corresponding Hopf ring of unstable co-operations is a module for the Tall-Wraith monoid of unstable operations. Further examples are provided by considering operations from one theory to another.Summary An introduction to the ideas, concepts, and techniques of analysis on manifolds. Variations on a Theme: Riemannian Geometry in Infinite Dimensions Algebraic Topology Special Session, BMC 2007 Infinite dimensional Riemannian manifolds have traditionally been divided into two types: strong and weak. One can generalise many of the standard constructions of Riemannian geometry to strong Riemannian manifolds but not to weak ones. In this talk I shall examine some of the basic results of Riemannian geometry in order to refine this classification. The purpose is to show that some constructions can be generalised to certain weak Riemannian manifolds. I shall conclude by describing which level of structure is available for the free loop space of a finite dimensional manifold and by explaining how this can be used in applications. Curriculum Vitae This is my current curriculum vitae. It contains details of my education and employment since 1998, my publications, an overview of my teaching experience, a list of talks that I have given, and other miscellaneous information that may be useful. In PDF or PostScript. Galeon Tab Position The Main Links |