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Trust in the Lord, and do good;

so you will dwell in the land, and enjoy security.

Take delight in the Lord,

and he will give you the desires of your heart.

Psalm 37vv3-4

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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.
This website is divided into the following sections:

• Research. Details of my research and of my papers and preprints.
• Seminars. Details of those seminars that I have given where I have produced notes in a reasonable enough state for others to read.
• Professional. Information regarding my professional status such as my CV, a detailed research plan, information about my teaching experience, and links to external sites that contain information about me.
• Teaching. Information about my current teaching duties.
• HowDidIDoThat. Hints, Hacks, and Howtos for making computers work how I want them to and not the other way around.
• CountingOnMyFingers. For writings that don't quite fit in anywhere else.
• Links. Various links that I either use frequently or consider to be important.
• Fjord. Some pictures of the fjord from my office window.

On each index page you see the articles in that category plus the most recent articles from each of the subcategories. There are also Atom and RSS2.0 feeds for the various categories (but not for the individual articles). The menu on the left and the breadcrumbs at the top should help with navigation.

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.

Older Pictures

Joint with Sarah Whitehouse

Tall-Wraith monoids were introduced in The Hunting of the Hopf Ring to describe the algebraic structure on the set of unstable operations of a suitable generalised cohomology theory. In this paper we begin the study of Tall-Wraith monoids in an algebraic and categorical setting. We show that for V a variety of algebras, applying the free V-algebra functor to a monoid in Set produces a Tall-Wraith monoid. We also study the example of the Tall-Wraith monoid defined by the self set-maps of a finite ring, an example closely related to the original motivation for Tall-Wraith monoids.

See more ...

The following are small programs that may (or may) not be useful. They are listed here as it is likely that their primary reason for existing is for use in teaching.

Some are Java applets (or standalone Java programs) developed using processing. These will work in a browser (that supports Java) or can be downloaded to a Linux, MacOSX, or Windows machine. Others are Lua scripts developed on the iPad application Codea. These are designed to be run within Codea on an iPad, though it may be possible to adapt them to run using Love2D (see this discussion for details). Getting code onto the iPad can be somewhat tricky, see this discussion for methods.

The Java applets were originally released under the GPL. The Codea code is released under the CC0 to the extent allowed (some pieces are code that I've adapted from others; see Codea for specific details).

• TMA4115.
  • Coupled Pendulum. Applet, standalone application for linux, MacOSX, Windows. Created using processing.
  • Dynamic Matrix. Applet, standalone application for linux, MacOSX, Windows. Created using processing.
  • Discrete Matrix. Applet, standalone application for linux, MacOSX, Windows. Created using processing.
  • Apply Matrix. Applet, standalone application for linux, MacOSX, Windows. Created using processing.

Talk given at the Fourth Sheffield Homotopy Miniconference on the Homotopy and Geometry of Loop Spaces, held at Sheffield University, 20th-22nd January 2012.

Abstract:

As we try to do more and more geometrical and analytical things with loop spaces, the exact choice of model space becomes more and more important. Whilst an algebraic topologist can change loop spaces on a whim, a differential topologist has to be more careful (and a differential geometer more careful still). In this talk, I will examine the space of piecewise smooth loops as a space in its own right and show that although it is a convenient way-station between smooth loops and continuous loops, it is not a pleasant place to stay.

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The following is a list of other websites with information about me relating to my work or where I have some work-related online presence.

• MathSciNet
• arXiv
• nLab
• nForum
• MathOverflow
• TeX, LaTeX, and Friends

Some things that I keep having to look up about the Z-shell.

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On the tex.SE site, I made the comment:

Whatever the differences [between MathOverflow and StackOverflow] are, I would tend to favour the [StackOverflow] one over the [MathOverflow] one for here because I think that the relationship between the subject and the users is closer to that on [StackOverflow] than [MathOverflow].

I've been asked to explain that remark. This is my attempt to do so.

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• MathSciNet
• arXiv
• nLab
• nForum
• Math2.0
• Azimuth
• MathForge
• Mathsnotes