Lauran Toussaint

I am currently a postdoctoral researcher in the research group of Thomas Rot at the Vrije Universiteit Amsterdam. Before that I was a postdoc with Mélanie Bertelson, and a PhD under the supervision of Marius Crainic and Alvaro del Pino.

Among other things I am interested in contact structures, symplectic foliations, h-principle techniques and the topology of infinite dimensional manifolds. 

Papers

• Non-linear proper Fredholm maps and the stable homotopy groups of spheres. In Selecta Mathematica (2025) arXiv:2307.08020 (with T. Rot)

• Formal Poisson (co)homology of the Lefschetz singularity. In Journal of Algebra (2025) arXiv:2403.16300 (with F. Zeiser)

• An elementary proof of Novikov's theorem. In Algebraic & Geometric Topology (2025) arXiv:2302.14759. (with S. Ranz)

• Examples of symplectic non-leaves. In Revista Mathematica Iberoamericana (2025) arXiv:2106.02618 (with F. Gironella)

• Existence of conformal symplectic foliations on closed manifolds. In Mathematische Annalen (2024) arXiv:2111.00550  (with F. Gironella)

• Jiggling: an h-principle without homotopical assumptions. arXiv:2501.13627 (with A. Fokma and A. del Pino)

• Vanishing cycles of symplectic foliations. arXiv:2410.07090 (with F. Gironella and K. Niederkruger)

• Wrinkling and Haefliger structures. arXiv:2309.15715 (with A. Fokma and A. del Pino)

• Wrinkling h-principles for integral submanifolds of jet spaces. arXiv:2112.14720  (with A. del Pino)

Theses