Research Associate in Mathematics

Imperial College London - Pure Mathematics Section, Department of Mathematics

South Kensington Campus

Fixed Term for: 36 Months

Starting Date: No later than October 1 2017

Applications are invited for a Research Associate (RA) position in the Department of Mathematics at Imperial College London. The position is funded as part of the “Simons Foundation Collaboration on Special Holonomy in Geometry, Analysis and Physics”. The Collaboration consists of 10 Principal Investigators around the world and a larger group of academics, postdocs and PhD students, who will work together on the study of Riemannian manifolds with special holonomy, particularly Calabi-Yau manifolds and 7- and 8-manifolds with holonomy G2 and Spin(7), their calibrated submanifolds, and gauge theory and instantons on them, and their connections with String and M-theory. The Collaboration website is at https://sites.duke.edu/scshgap/.

The RA will work directly with Professor Mark Haskins on projects in the broad areas of the Collaboration, and within Professor Haskins’ research interests, and will write the results up for publication. These projects are not fixed in advance, but may be chosen to suit the research interests of the RA. The RA will also be encouraged to work with other members of the Collaboration around the world, including across disciplinary boundaries, e.g. between Mathematics and Physics. The RA will be expected to play an active role in the Collaboration activities and to attend the regular meetings of the Collaboration.

You will have a good first degree (or equivalent) in Mathematics or Physics and a PhD in Mathematics, or Physics (with a strong geometric background) or an equivalent level of professional qualifications and experience. You must have a demonstrable research track record in Geometry or Geometric Analysis or closely related areas in Mathematical Physics.

You will have experience in one or more of the following areas:

  • Manifolds with special holonomy including hyperkaehler manifolds, Calabi-Yau manifolds, 7-manifolds with holonomy G2; or 8-manifolds with holonomy Spin(7);
  • Calibrated submanifolds and minimal submanifolds; geometric measure theory and regularity theory of singular minimal subvarieties;
  • Gauge theory and instantons;
  • Geometry and analysis on singular spaces;
  • Regularity or compactness theory in geometric PDEs;
  • Einstein Riemannian manifolds;
  • Structure theory for limit spaces with lower Ricci curvature bounds;
  • The theory of collapsed Riemannian manifolds;
  • J-holomorphic curves in symplectic manifolds;
  • Gluing methods in geometry;
  • Geometric flows;
  • Gromov-Hausdorff limits of Kaehler manifolds;
  • The physics of special holonomy spaces.

You must display clear evidence of outstanding promise and originality in research and have a good publication record judged by your career stage. A high degree of self-motivation and independence is also required.

The successful candidate will be expected to work effectively within a team, have the ability to develop and apply new concepts, and have a creative approach to problem-solving. You will also be expected to demonstrate excellent verbal and written communication skills, and be able to write clearly and succinctly for publication.

For additional information please contact Professor Mark Haskins (m.haskins@imperial.ac.uk).

Our preferred method of application is online via our website http://www.imperial.ac.uk/employment (please select "Job Search" then enter the job title or vacancy reference number NS2016228KL into "Keywords"). Please complete and upload an application form as directed, also providing a CV (including list of publications) and a cover letter.

Should you have any queries regarding the application process, please contact Mrs Rusudan Svanidze, Email: r.svanidze@imperial.ac.uk

*Candidates who have not yet been officially awarded their PhD will be appointed as Research Assistant within the salary range £31,740 - £33,370 per annum.

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Closing date: 8 December 2016 (Midnight GMT)

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