Currently I am a postdoctoral fellow of the DFG Walter Benjamin Position at Heidelberg University, Germany. I am also a member of the Research Station Geometry + Dynamics. In November 2025 I was a visiting researcher at the Seoul National University, South Korea. In 2023 I completed my PhD at the Université de Neuchâtel, Switzerland, under the supervision of Felix Schlenk and co-supervision of Urs Frauenfelder.
I enjoy thinking about interactions between:
Symplectic geometry and topology
Hamiltonian dynamical systems, celestial mechanics and astrodynamics
Analytical and numerical techniques to study periodic orbits and their bifurcations
In particular, I study the numerical computational applications of symplectic geometry to periodic orbits and their bifurcations within multi-body gravitational systems. Below are some examples of spatial periodic orbits that I have explored via bifurcation analysis and Conley–Zehnder index in the Earth–Moon circular restricted three-body problem (see A-DRO and A-comet).
Recent papers
Studying network of symmetric periodic orbit families of the Hill problem via symplectic invariants (with Alexander Batkhin)
Celestial Mechanics and Dynamical Astronomy 137(12) (2025)
Contact geometry of Hill's approximation in a spatial restricted four-body problem
Arnold Mathematical Journal 11(1) (2025)
Upcoming events
2026 International Conference on Celestial Mechanics, SUSTech, Shenzhen | April 20-24, 2026
Symplectic Topology - A conference in honour of Kai Cieliebak, Universität Augsburg | Aug. 24-28, 2026
University address:
Institut für Mathematik, Universität Heidelberg
Office Room 03.303, Mathematikon
Im Neuenheimer Feld 205
69120 Heidelberg, Germany
Homepage (university): https://geometry-dynamics.mathi.uni-heidelberg.de/members/dr-cengiz-aydin
Email (university): caydin at mathi dot uni-heidelberg dot de
Email (private): cengiz dot aydin at hotmail dot de