Lauran Toussaint

I am currently a postdoctoral researcher in the research group of Mélanie Bertelson at the Université Libre de Bruxelles in Brussels. Before I was a PhD student at Utrecht University under the supervision of Marius Crainic and Alvaro del Pino.

Among other things I am interested in contact structures, symplectic foliations and h-principle techniques.

Papers

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

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

• Examples of symplectic non-leaves. arXiv:2106.02618 (with F. Gironella)

• Wrinkling h-principles for integral submanifolds of jet spaces II. In preparation (with A. del Pino)

• Contact structures and conformal symplectic foliations. In preparation (with F. Presas)

• An obstruction for the existence of strong symplectic foliations. Work in Progress (with F. Gironella and K. Niederkruger)

• Triangulations of symplectic manifolds. Work in progress (with M. Bertelson)

• Wrinkling and Haefliger structures. Work in progress (with A. Fokma and A. del Pino)

• Poisson cohomology of Lefschetz fibrations. Work in progress (with F. Zeiser)

• Horizontal Morse theory. Work in progress (with A. del Pino, L. Accornero, and F. Gironella)

• Constructions of symplectic foliations. Work in progress (with G. Cavalcanti and M. Crainic)

Theses