Welcome!
Welcome!
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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.
My research focuses on applying geometrical and topological methods with dynamical systems theory and numerical computations to real-world complex systems. Research topics sit at intersections between:
Hamiltonian Systems, Nonlinear Dynamics,
Periodic Orbits, Perturbation Methods, Bifurcations and Singularity Theory,
Topological Methods from Symplectic and Contact Geometry,
Multi-Body Gravitational Systems, Celestial Mechanics, Astrodynamics,
Numerical and Computational Methods.
Below are some examples of spatial periodic orbits that I have studied 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
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
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