POSTGRADUATE STUDENTSHIPS (2), DEPT. OF MATHEMATICS

Postgraduate Studentship, Dept of Mathematics

Project Title : Differential Equations with Hyperelliptic Integral Curves

Description: Methods from twistor theory, differential geometry, algebraic geometry and from the theory of integrable systems have opened up a global view of nonlinear ordinary differential equations in complex variables. The aim of this project is to identify the differential equations in low order and small numbers of variables whose solutions have particularly elegant algebraic geometry, especially those whose solutions are hyperelliptic curves, with a view toward integrable systems and physics. Salary, fees, PRSI and pension will total over €24000 per year, and €2000 to support travel. Funding from SFI grant MATF634.

Postgraduate Studentship, Dept of Mathematics
Project Title : Singularities of Ricci flow on G2 structures

Description: Rigorous mathematical methods from differential geometry, analysis and symmetry groups will describe singularity formation in geometric objects (called G2 structures) which could yield spacetime models for string theory. Salary, fees, PRSI and pension will total over €28000 per year and €2000 to support travel. Funding from SFI grant MATF636.

Academic Supervisor for both Studentships: Dr Benjamin McKay, Department of Mathematics, University College Cork.

Send applications (CV with cover letter) before 1 June 2007, preferably by email, to Dr. Benjamin McKay ( b.mckay@ucc.ie) , Department of Mathematics, University College Cork, Cork, Ireland, tel: +353 21 490 2434 . Applications should mention the project title, state final grade scores in third level degrees, provide a list of any publications, and provide the names and email addresses of 3 references.