Cédric Oms' Webpage
I obtained my Master degree in Brussels in 2016. I obtained my PhD title in October 2020 under the supervision of Prof. Dr. Eva Miranda and am currently a Post-doc at the UPC and member of the Laboratory of Geometry and Dynamical Systems, unofficially named b-Lab.
My research interests are symplectic and contact geometry. Currently I am trying translate well-known results in contact geometry and Reeb dynamics to a generalization of contact manifolds, known as b-contact manifolds. Those appear to are related to classical problems coming from celestial mechanics - and make applications of dynamical results on those problems especially appealing!
I am also interested in hydrodynamics (more precisely stationary Euler solutions) and its relation to contact geometry. And as you might wonder, particularily in the presence of singularities.
And in contemporary COVID times, youtube presentations almost serve as business cards. Here you have mine.
An Invitation to Singular Symplectic Geometry, published in International Journal of Geometric Methods in Modern Physics, Vol. 16, No. supp01 (2019), with R. Braddell, A. Delshams, E. Miranda, A. Planas.
The geometry and topology of contact structures with singularities, with E. Miranda, submitted for publication.
Do overtwisted contact manifolds admit infinitely many periodic Reeb orbits?, to appear in Extended Abstract, Birkhäuser.
The singular Weinstein conjecture with E. Miranda, submitted for publication.
On the singular Weinstein conjecture and the existence of escape orbits for $b$-Beltrami fields, with E. Miranda and D. Peralta--Salas, submitted for publication.
The lecture notes can be found here. I am currently working on a polished version, so the file will be updated on a regular basis during the semester. The above exercises can be found in the respective chapters in the book.
I offer remuneration in form of chocolate in exchange for pointing out typos!