Post-doc position at Birmingham: toposes and quantum theory
Research project: "Applications of geometric logic to topos approaches to quantum physics". [I have already announced a PhD studentship on this project, but a 3 yr post-doc position has now come available.] I have received EPSRC funding for a 3-year project with a post-doctoral research position and PhD studentship attached, to be conducted in the School of Computer Science in the University of Birmingham, UK, and to start between now and October. I would be very pleased to receive applications. The essential area of expertise for the post-doc is constructive reasoning (with toposes and point-free topology), but the researcher will also need to have or acquire some familiarity with quantum theory. The funding allows for appointment at a high salary grade for a suitably qualified and experienced researcher. The "topos approaches" referred to are those of Isham and Doering (at Imperial) and Heunen, Landsman and Spitters (at Nijmegen). By working internally in suitable toposes, they are able to find (commutative) Gelfand-Naimark spectra for systems that, externally, are non- commutative. The hope is that this might lead to a style of reasoning about quantum systems that, while logically non-classical, is physically classical. My project will look at trying to keep the intuitionistic, topos- valid, internal reasoning within its geometric part. Insofar as this is possible (and there is mounting evidence that substantial amounts of practical mathematics can be done this way), it enables a language of points, stalks, fibres and bundles for the point-free topology involved. It is hoped that this will allow the topos approach to be conducted in terms that are more conceptually transparent (in particular to physicists), but also make it technically palatable to move from the present presheaf toposes to sheaf toposes. Initial work will focus on the geometric content of the Banaschewski/Mulvey account of Gelfand-Naimark duality. Further information can be found on my web site, at http://www.cs.bham.ac.uk/~sjv/geophysics.php#phd I can also supply a more detailed project description on request. Steve Vickers.
I recently announced a Research Fellowship at Birmingham. Its aim is to apply techniques of geometric logic to the topos approaches to quantum theory (Isham and Doering at Imperial, Landsman's group at Nijmegen). The job is now posted online at Birmingham, application deadline 10th June 2009. Go to http://www.hr.bham.ac.uk/jobs/ and search by post number 43408. There will be an advertisement on http://www.jobs.ac.uk/ in the next couple of days. You can also find all that information on my website at http://www.cs.bham.ac.uk/~sjv/geophysics.php The "more detailed project description" is at http://www.cs.bham.ac.uk/~sjv/geophysics/Summary.pdf Regards, Steve Vickers.
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Steve Vickers