Simon VIALARET

I am currently postdoc in RWTH Aachen. I did my PhD (2021-2025) under the supervision of Rémi Leclercq and Alberto Abbondandolo.
Contact : lastname@mathga.rwth-aachen.de

Research interests

I am interested in different aspects of the dynamics of Reeb flows in contact geometry, including the existence of systolic inequalities for diverse classes of contact forms.

Publications

Systolic inequalities for S1-invariant contact forms in dimension three, Trans. Amer. Math. Soc. (doi:10.1090/tran/9653, arXiv)
Sharp systolic inequalities for invariant tight contact forms on principal S1-bundles over S2, Annales Henri Lebesgue, Volume 8 (2025), pp. 995-1021 (doi: 10.5802/ahl.253, arXiv)

Miscellaneous

My PhD thesis can be read here.

Talks

Berlin-Hamburg-Hannover Seminar zur symplektischen Geometrie, Hamburg, 29/05/2026
Symplectic Geometry Seminar, IMPA, 11/03/2026
Escola de Verão em Matemática, UFES, 04/03/2026
Differential Geometry Seminar, IMPA, 05/02/2026 and 10/02/2026
Arbeitgemeinschaft, Ruhr-Universität Bochum, 26/06/2025
Symplectic Geometry Seminar, Bonn University, 08/05/2025
Systolic and Diastolic Geometry, IMPA, Brazil, 19/03/2025
Geometry Seminar, Universitat Politecnica de Catalunya, 10/03/2025
Symplectic Geometry Seminar, Université de Neuchâtel, 17/02/2025 and 18/02/2025
Geometry Seminar, Universitat Autònoma de Barcelona, 20/01/2025
Arbeitgemeinschaft, Ruhr-Universität Bochum, 09/01/2025
Symplectic Zoominar (short talk), 20/12/2024
Séminaire Géométries, ICJ Lyon, 13/12/2024
Symplectic Geometry Seminar, Heildeberg, 04/12/2024
Séminaire Géométrie et Applications, IRMA Strasbourg, 28/10/2024
Symplectic Dynamics in Aachen, 17/09/2024
New Methods in Finsler Geometry IV, Brasov, Romania, 03/09/2024
Symplectix, IHP Paris, 28/06/2024
Oberseminar Geometrie, Topologie und Analysis, Universität zu Köln, 17/05/2024
Oberseminar Geometrie und Analysis, RWTH Aachen, 25/04/2024
Arbeitgemeinschaft, Ruhr-Universität Bochum, 22/06/2023
Université Paris-Saclay, 08/06/2023

Diffusion of mathematics

2023/2024: Co-organiser of the symplectic and contact geometry workgroup of Paris-Saclay University
2024/2025: Co-organiser of the reading course on embedded contact homology in Ruhr-Universität Bochum