Research






Conferences – Invited speaker and participant



Symplectic Dynamics Beyond Periodic Orbits 2022

Lorentz Center, Leiden, 15.-19.08.2022


Symplectic Dynamics Beyond Periodic Orbits

Lorentz Center, Leiden, 10.-14.08.2020


Conservative dynamics and its interactions

Bernoulli Center - Lausanne, 19.-23.08.2019


Dynamische Systeme

Mathematisches Forschungsinstitut Oberwolfach, 07.-13.07.2019


Joint Meeting of the KMS and DMV

COEX - Seoul, 03.-06.10.2018


Symplectic Dynamics

Universität Heidelberg, 09.-13.07.2018


Holomorphic methods in symplectic geometry

Universität Heidelberg, 12.-14.02.2018


Floer homology and contact topology

University of Haifa, 17.-19.09.2017


Hamiltonian and Reeb Dynamics: New Methods and Applications

Lorentz Center - Leiden, 17.-21.07.2017


Dynamische Systeme

Mathematisches Forschungsinstitut Oberwolfach, 09.-15.07.2017


Polyfold summer school

University of California, Berkeley, 12.-16.06.2017


Filling by holomorphic discs

Scuola Normale Superiore - Pisa, 03.-05.04.2017


Symplectic geometry and topology

Edinburgh, 25.-29.07.2016


Mini-Workshop: Symplectic and Contact Geometry

Münster, 08.-09.07.2016


New Methods in Finsler Geometry

Leipzig, 05.-09.07.2016


X Workshop on Symplectic Geometry, Contact Geometry and Interactions

Augsburg, 25.-27.02.2016


DMV-Jahrestagung 2015

Hamburg, 21.-25.09.2015


Symplectic Techniques in Topology and Dynamics 2015

Köln, 24.-28.08.2015


SFT VII "Function Theory on Symplectic Manifolds"

WWU, Münster (Conference co-organized with Peter Albers), 25.-29.08.2014


Rigidity and Flexibility in Symplectic Topology and Dynamics

Lorentz Center, Leiden, 21.-25.07.2014


Differential Geometry and Global Analysis

Leipzig, 07.-11.10.2013, (program)


Periodic Orbits In Contact and Riemannian Geometry

Le Touquet-Paris-Plage, 03.-07.09.2012


From Conservative Dynamics to Symplectic and Contact Topology

Lorentz Center, Leiden, 30.07.-03.08.2012


FNRS Contact Group in Differential Geometry

Bruxelles, 12.-13.09.2011








Support




01.01.2017 — 31.12.2020 & 01.01.2021 — 31.12.2024

Collaborative Research Center

Symplectic Structures in Geometry, Algebra and Dynamics

SFB/TRR 191



September 2019 — February 2020

Visiting Professor

Ruprecht-Karls-Universität Heidelberg



26.02. — 18.03.2015

Research visit

Institute for Advanced Study, Princeton



08.09. — 03.10.2014

Research visit

Institute for Advanced Study, Princeton



19.11. — 22.11.2013

Research visit

École normale supérieure de Lyon



17.02. — 02.03.2013

Visit at the Mathematisches Forschungsinstitut Oberwolfach

Research in Pairs

joint with Stefan Suhr



01.01.2013 — 31.12.2015

DFG-Project: ZE 992/1-1

Reeb-Dynamik und holomorphe Kurven

joint with Hansjörg Geiges



01.10.2003 — 30.09.2006

Scholarship at the Research Training Group

Analysis, Geometrie und ihre Verbindung zu den Naturwissenschaften

at the Universität Leipzig

Supported by the Deutsche Forschungsgemeinschaft and the Freistaat Sachsen






Supervised theses




Doctoral theses


2019 – Kevin Wiegand

Virtual Reeb flows and odd-symplectic surgery


2018 – Dominic Jänichen

The homotopy type of the space of tight contact structures on the 3-sphere


2016 – Kilian Barth

Homotopy type of fillings of unit stabilized cotangent bundles


2014 – Max Dörner

The space of contact forms adapted to an open book

(joint with H. Geiges)




Master theses


2022Dorothea Bergmann

Der Satz von Bieberbach nach Gromov


2020 – Kevin Sporbeck

Algebraic manifolds via symplectic geometry


2018 – Carolin van den Berg

Die Odd-symplektische Kobordismenrelation


2017 – Stephan Beckmann

Dehn–Seidel Twists auf Brieskorn Mannigfaltigkeiten


2017 – Jay Schneider

Geometric bounds on holomorphic discs in contact handles


2016 – Kevin Wiegand

Beispiele virtueller Kontaktstrukturen




Diploma thesis


2012 – Kilian Barth

Coisotropic submanifolds in contact geometry

(joint with H. Geiges)


2011 – Max Dörner

Planar contact structures, Giroux torsion and the Weinstein conjecture

(joint with H. Geiges)


2010 – Daniel Sievering

Kontaktstrukturen und offene Bücher in Dimension 3

(joint with H. Geiges)




Bachelor thesis


2020 – Eileen Kaiser

Die Quadrik symplektisch


2017 – Maximilian Tönies

From open books to symplectic fibrations


2017 – Kevin Sporbeck

Projections and classical invariants of Legendrian knots


2017 – Felix Janssen

Mayer–Vietoris in deRham cohomology