Universiteit van Amsterdam

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PhD student position on "Homogeneous structures", Leeds (U.K.)

As part of an EPSRC grant at the University of Leeds with the title above, there will be a fully funded PhD studentship, and we seek suitably qualified candidates to begin their PhD in the autumn of 2009. The project concerns aspects of homogeneous structures. The very general framework of homogeneity means that the subject touches many parts of mathematics, such as model theory, connections of finite model theory with computer science, group theory, descriptive set theory, and, in particular, combinatorics. Much of this has developed since Cherlin's 1998 memoir. For example, there is now wide interest in homogeneous metric spaces, in connections with structural Ramsey theory in combinatorics, and with topological dynamics. It has become urgent to revisit classification in homogeneous structures, to identify how far it can reasonably be taken, and whether, if one requires less than full classification, meaningful descriptions remain.

This is a project in combinatorics, but it has strong connections with model theory, group theory, and theoretical computer science. Candidates with interests in any or all of these areas may apply.

The studentship is advertised on http://www.findaphd.com/search/showproject.asp?projectid=22740&searchtype=n and anyone interested is encouraged to contact one or both of the investigators on or .

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