Jakob Hedicke

Currently I am a Radboud Excellence Fellow at the Radboud University in Nijmegen. Previously I was a postdoctoral research fellow at the Centre de Recherches Mathématiques (CRM) and the Université de Montréal.

My main research interests are contact- and symplectic geometry and the interactions of these fields with differential topology, dynamics and pseudo-Riemannian geometry. More specifically, I am interested in groups of contactomorphisms and the (non)-existence of invariant partial orders, metrics and other interesting structures on these groups. Moreover I am working on questions in low-dimensional contact topology and Reeb-dynamics using tools from differential topology such as open book decompositions. Further I am interested in the connections of contact- and symplectic geometry to pseudo-Riemannian geometry, in particular to Lorentzian geometry and questions in causality theory.

14. (with H. Geiges, M. Sağlam) Bott-integrable contact forms with large systolic ratio, arXiv preprint arXiv:2604.19237 , 2026 13. On the space of cone geodesics and positive paths of contactomorphisms, arXiv preprint arXiv:2512.20149 , 2025, Accepted in Gen. Relativity Gravitation 12. (with E. Shelukhin) Non-orderability and the contact Hofer norm, arXiv preprint arXiv:2411.19887, 2024, Accepted in Duke Math. J. 11. (with D. Cant, E. Kilgore) Extensible positive loops and vanishing of symplectic cohomology, arXiv preprint arXiv:2311.18267, 2023, Accepted in Algebr. Geom. Topol.

10. (with H. Geiges, M. Sağlam) Bott-integrability of overtwisted contact structures, Published in Rev. Math. Iberoam., 2026 9. Positive paths in diffeomorphism groups of manifolds with a contact distribution, Published in Bull. Lond. Math. Soc., 2026 8. (with K.-H. Neeb) Elliptic domains in Lie groups, Published in Transformation groups, 2026 7. (with D. Cant) On the rigidity of translated points, Published in Geometriae Dedicata, 2025 6. (with H. Geiges, M. Sağlam) Bott-integrable Reeb flows on 3-manifolds, Published in J. Lond. Math. Soc., 2024 5. A causal characterization of $\mathrm{Sp}_{\mathrm{ell}}^+(2n)$ , Published in Commun. Contemp. Math., 2024 4. Lorentzian distance functions in contact geometry, Published in J. Topol. Anal., 2024 3. (with E. Minguzzi, B. Schinnerl,R. Steinbauer, S. Suhr) Causal simplicity and (maximal) null pseudoconvexity, Published in Classical Quantum Gravity, 2021 2. The contact structure on the space of null geodesics of causally simple spacetimes, Published in Differential Geom. Appl., 2021 1. (with S. Suhr) Conformally embedded spacetimes and the space of null geodesics, Published in Comm. Math. Phys., 2020