Research interests
I am keenly interested in symplectic geometry and its numerical applications to periodic orbits and their bifurcations within Hamiltonian dynamical systems and celestial mechanics. This involves combining various techniques from symplectic geometry and topology with classical analytical and computational methods. My goal is not only to solve specific problems, but also to form a method pool capturing their essential and fundamental features.
Publications
Journal article (selected articles by Journal's Editors are marked with *)
7)* 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)
*The Journal CM&DA has started an Astronomy Seminar series organized by Springer Nature. This series consists of a selection of high-quality research on cutting-edge problems in Celestial Mechanics and Dynamical Astronomy. For each seminar, a committee formed by the Journal's editors selects recent paper accepted for publication in CM&DA as being innovative and/or having had significant recent impact. Our article was selected by the committee for the Seminar on Sept. 12, 2025.
6) Contact geometry of Hill's approximation in a spatial restricted four-body problem Arnold Mathematical Journal 11(1) (2025)
5) Bifurcation graphs for the CR3BP via Symplectic Methods (with Agustin Moreno, Otto van Koert, Urs Frauenfelder, Dayung Koh) The Journal of the Astronautical Sciences 71(51) (2024)
4)* From Babylonian lunar observations to Floquet multipliers and Conley–Zehnder indices Journal of Mathematical Physics 64(8) (2023)
*Selected as Editor’s Pick for August 2023 in the Journal of Mathematical Physics.
3) Symplectic splitting of Hamiltonian structures and reduced monodromy matrices Linear Algebra and its Applications 674, 426–441 (2023)
2) The Conley–Zehnder indices of the spatial Hill three-body problem Celestial Mechanics and Dynamical Astronomy 135(32) (2023)
1) The linear symmetries of Hill's lunar problem Archiv der Mathematik 120(3), 321–330 (2023)
Preprint (Submitted for publication)
2) Comet-type periodic motions and their out-of-plane bifurcations in the Earth-Moon CR3BP: a computational symplectic analysis (2026) https://arxiv.org/abs/2602.16354
1) Exploration of vertical self-resonant bifurcations from DRO in the Earth-Moon CR3BP (2025) https://arxiv.org/abs/2508.17286
Conference paper / extended abstract
3) Network of families of symmetric spatial periodic orbits in the Hill problem via symplectic invariants (with Alexander Batkhin) Book of abstracts of Analytical Methods of Celestial Mechanics 2024
2) Symplectic methods in trajectory design (with Agustin Moreno, Otto van Koert, Urs Frauenfelder, Dayung Koh) Proceedings of KePASSA 2024
1) Symplectic methods in space mission design (with Urs Frauenfelder, Dayung Koh, Agustin Moreno) Proceedings of 2023 AAS/AIAA Astrodynamics Specialist Conference https://arxiv.org/abs/2308.03391v1
Doctoral thesis
A study of the Hill three-body problem by modern symplectic geometry Université de Neuchâtel, No de thèse: 3063 (2023)
My ORCID profile
ResearchGate profile
Google Scholar profile
arXiv page
Participation in conferences / workshops / summer schools
2026/08 Symplectic Topology - A conference in honour of Kai Cieliebak | Universität Augsburg, Aug. 24-28, 2026
2025/11 New developments in symplectic geometry | Seoul National University, Nov. 25-28, 2025
2025/09 ISTA Summer School in Dynamical Systems | Bundesinstitut für Erwachsenenbildung (bifeb), Strobl, Sept. 22-26, 2025
2024/11 A stellar afternoon in Symplectic Dynamics (Special guest: James Green, former chief scientist of NASA) | Universität Heidelberg, Nov. 5, 2024
2024/09 Symplectic Dynamics in Aachen | RWTH Aachen, Sept. 16-20, 2024
2024/09 Theories of the three-body system | Monash University Prato Centre, Sept. 8-13, 2024
2024/08 Analytical Methods of Celestial Mechanics 2024 | Euler International Mathematical Institute, St. Petersburg, Aug. 19-24, 2024
2024/08 Augsburg Dynamics Days 2024 | Universität Augsburg, Aug. 13-14, 2024
2024/07 Symplectic Geometry and Anosov Flows | Internationales Wissenschaftsforum Heidelberg, July 22-26, 2024
2024/04 29th International Symposium on Space Flight Dynamics 2024 | Europäisches Raumflugkontrollzentrum, Darmstadt, April 22-26, 2024
2024/02 CAST 2024 | Ruhr-Universität Bochum, Febr. 8-10, 2024
2023/11 Strasbourg-Heidelberg "Symplectic Day" | IRMA Strasbourg, Nov. 16, 2023
2023/06 Geometry and Dynamics. A Conference in Honour of Leonid Polterovich | ETH Zürich, June 26-30, 2023
2022/09 Two days in Symplectic Dynamics | École normale supérieure de Lyon, Sept. 29-30, 2022
2021/05 Online Miniworkshop on Symplectic and Contact Dynamics | University of Antwerp, May 12, 2021
2019/08 Conservative Dynamics and its Interactions | École Polytechnique Fédérale de Lausanne, Aug. 19-30, 2019
2019/05 Conference in honor of Prof. André Haefliger's 90th birthday | Université de Genève, May 15-17, 2019
2018/08 Workshop on Symplectic Field Theory IX | Universität Augsburg, Aug. 25-31, 2018
Research Talks
2026/08 "t.b.a."
Symplectic Topology - A conference in honour of Kai Cieliebak, Universität Augsburg | Aug. 24-28, 2026
2025/11 "Applications of Conley-Zehnder Index to periodic orbits in the Hill problem"
New developments in symplectic geometry, Seoul National University | Nov. 28, 2025
2025/09 "Studying network of symmetric periodic orbit families of the Hill problem via symplectic invariants"
ISTA Summer School in Dynamical Systems, Bundesinstitut für Erwachsenenbildung (bifeb), Strobl | Sept. 23, 2025
2025/09 "Studying network of symmetric periodic orbit families of the Hill problem via symplectic invariants" (joint with Alexander Batkhin)
Astronomy Seminars, Research Seminars by Springer Nature, associated to the Journal CM&DA | Sept. 12, 2025
2025/05 "On Research related to CR3BP"
Symplectic Geometry Seminar, Universität Heidelberg | May 28, 2025
2025/05 "Studying network of symmetric periodic orbit families of the Hill problem via symplectic invariants"
Oberseminar Differentialgeometrie, Universität Augsburg | May 19, 2025
2025/02 "Studying network of symmetric periodic orbit families of the Hill problem via symplectic invariants"
Online symplectic/contact geometry seminar, Kongju National University| Febr. 3, 2025
2025/01 "Research activity related to the 3BP"
Europäisches Raumflugkontrollzentrum (ESOC), Mission Analysis Seminar, Darmstadt | Jan. 15, 2025
2024/12 "Studying network of symmetric periodic orbit families of the Hill problem via symplectic invariants"
Science Coffee, Advanced Concepts Team of ESA, ESTEC, Noordwijk | Dec. 13, 2024
2024/11 "Studying network of symmetric periodic orbit families of the Hill problem via symplectic invariants"
A stellar afternoon in Symplectic Dynamics, Universität Heidelberg (Special guest: James Green, former chief scientist of NASA) | Nov. 5, 2024
2024/09 "Application of symplectic invariants to the Hill three-body problem: Bifurcation graphs and Conley–Zehnder indices"
Theories of the three-body system, Monash University Prato Centre | Sept. 13, 2024
2024/08 "Network of families of symmetric spatial periodic orbits in the Hill problem via symplectic invariants" (joint with Alexander Batkhin)
Analytical Methods of Celestial Mechanics 2024, Euler International Mathematical Institute, St. Petersburg | Aug. 20, 2024
2024/07 "Contact geometry of Hill's approximation to a spatial restricted four-body problem"
Symplectic Geometry Seminar, Universität Heidelberg | July 3, 2024
2023/11 "On Babylonian lunar periods and Conley–Zehnder indices of the CR3BP"
Symplectic Geometry Seminar, Universität Heidelberg | Nov. 8, 2023