Universiteit Utrecht Department of Mathematics
Fabian Ziltener




Vacant Ph.D. position in symplectic geometry

Supervisor

Dr. Fabian Ziltener.

Prerequisites

M.Sc. degree in mathematics or theoretical physics with a strong mathematical component. Candidates in the final stage of obtaining such a degree will also be considered.

Deadline for application

December 13, 2015

Latest starting date

September 1, 2016

How to apply

Please submit the following material to utrecht.phd@gmail.com : * Please also arrange that the referees send their reference letters to utrecht.phd@gmail.com , by December 13, 2015.

Project description

One goal is to find a solution to the following problem by J. Moser: Find conditions under which a given Hamiltonian diffeomorphism of a symplectic manifold has a leafwise fixed point. Such points generalize fixed points and Lagrangian intersection points. They also arise in the context of time-dependent perturbations of classical mechanical systems. The existence of such points has applications e.g. to the presymplectic embedding problem and the existence of stably exotic symplectic forms.

I suggest to attack Moser's problem by defining a Floer homology for a coisotropic submanifold. I am open for suggestions about alternative approaches or alternative problems.

General information

If accepted as a Ph.D. student you will be integrated in the NWO Graduate School ``Utrecht Geometry Center''. You will be offered a full-time position for four years. The gross monthly salary will amount to EUR 2.146,- in the first year to EUR 2.744,- in the fourth year (P-scale of the Collective Labour Agreement Dutch Universities). It is supplemented with a holiday bonus of 8% and an end-of-year bonus of 8,3% per year. In addition Utrecht University offers a pension scheme and a partially paid parental leave.

Inquiries

Please send an e-mail to Fabian Ziltener, f.ziltener@uu.nl .