Welcome to my homepage. I am a postdoc at the Max Planck Institute for Mathematics.

Previously I was a graduate student at Utrecht University and a postdoctoral researcher at the Center for Mathematics of the University of Coimbra.

My research interests lie in differential geometry. More specifically, they include Lie groupoids, Poisson geometry, orbifolds, the geometry of singular spaces modelled by Lie groupoids (differentiable stacks) and the deformation theory of Lie groupoids themselves.

In order to understand the geometry of singular spaces, I study transverse geometry for Lie groupoids. For example, I have been studying transverse measures on Lie groupoids, the role of Lie groupoids in noncommutative geometry, and relations between the theories of proper Lie groupoids and of (particular kinds of) singular Riemannian foliations.

Recently I also started studying formal moduli problems in geometry and algebra.

Research papers

Deformations of Lie groupoids (with Marius Crainic and Ivan Struchiner)

Int. Math. Res. Not. IMRN, DOI: 10.1093/imrn/rny221

Orbispaces as differentiable stratified spaces (with Marius Crainic)

Lett. Math. Phys. (2018) 108:805–859.

Suborbifolds and groupoid embeddings (with Martin Weilandt)

arXiv:1809.04003 [math.GT]

Measures on differentiable stacks (with Marius Crainic)

arXiv:1603.01673 [math.DG].

Ph.D. Thesis

Differentiable stacks: stratifications, measures and deformations. Utrecht University, 2016.

Advisor: Marius Crainic

Expository papers (in Portuguese)

O princípio do camelo simpléctico

book chapter in "Números, Cirurgias e Nós de Gravata", IST Press, Lisbon 2013;

Co-existência de ciclos num sistema dinâmico

book chapter in "Seminário Diagonal - Proceedings IST, III", Lisbon 2006.

Contact

Max-Planck-Institut für Mathematik

Vivatsgasse 7

53111 Bonn

Germany

Office 222

jnmestre@gmail.com