universitair docent (permanent assistant professor)

Hans Freudenthalgebouw

office 606

Universiteit Utrecht

Budapestlaan 6

3584 CD Utrecht

The Netherlands

**e-mail:** f.ziltener at-symbol uu.nl

**phone:** +31 30 253 1520

I'm co-organizing a Mini-Workshop on Symplectic Geometry, which will take place at Utrecht University on March 16, 2018. The workshop is aimed at researchers, Ph.D. students, and advanced master's students working in symplectic geometry and related areas.

This will be the sixth instance of this mini-workshop. Previous workshops:

- October 9, 2017 at the Vrije Universiteit Amsterdam
- March 17, 2017 at the Universiteit Utrecht
- September 30, 2016 at the Vrije Universiteit Amsterdam
- March 11, 2016 at the Universiteit Utrecht
- October 7, 2015 at the Vrije Universiteit Amsterdam
- March 12, 2015 at the Universiteit Utrecht

My research area is symplectic geometry. I have proved that in various situations a given Hamiltonian diffeomorphism of a symplectic manifold has leafwise fixed points with respect to a coisotropic submanifold. This has applications to symplectic nonsqueezing and the existence of stably exotic symplectic structures.

In another part of my research I have investigated the symplectic vortex equations. These are a gauge theoretic version of the Cauchy-Riemann equation. They are related to the Gromov-Witten invariants of symplectic quotients.

blok 3: honoursseminarium over Liegroepen in de kwantummechanica

blok 2: Functionaalanalyse (WISB315).

blok 1: Maat en integratie (WISB312).

August 14-25, 2017: Utrecht Summer School on Geometry. On August 16, 2017 I will give a minicourse on ``Some highlights of symplectic geometry''. Here are some lecture notes for this minicourse, the assignment and solutions therefor.

Luuk Hendrikx: Floer Homology and Rabinowitz-Floer homology, 2016.

Maxim van Oldenbeek: Morse homology and Novikov homology, 2015.

Paul Horikx, The Kakeya conjecture in two dimensions, 2017.

Roy Smitshoek, Symplectic forms on fiber bundles and the Chern classes, 2017.

Rogier Mierop, Existence of Symplectic Forms on Fibre Bundles, 2017.

Luka Zwaan, The Conley-Zehnder Theorem, 2016.

Kars Mulder, Het Tweedimensionale Kakeya Vermoeden, 2016.

Maarten Mol, On the existence of symplectic forms on open manifolds, 2016.

Harm Backx: On Gompfs construction of symplectic manifolds, 2015.

Koen Vernooij: Partial Differential Equations, Convexity and Weak Lower Semi-Continuity, 2015.

I am an organizer of Geometry and Algebra, Geometry and Analysis, a weekly research seminar.

I am a **member of the Library Users Committee** at our Mathematics Department.

I am a member of GQT: Geometry and Quantum Theory.

I am in charge of keeping a list of local GQT-master courses updated.

I am the organizer of the Utrecht Running Club. We are a group of people gathering for weekly runs. Feel free to join us!