Research

Current research interests:

  • flexibility in high dimensional contact topology.

  • orderability of the groups of contactomorphisms.

  • symplectic topology applied to the study of foliations.

  • Engel structures.

  • Geometric Quantization.

List of publications:

Ordered by year

Ordered by topic

Highlighted publications:

Size of neighborhoods in contact topology:

Niederkrüger, Klaus; Presas, Francisco. Some remarks on the size of tubular neighborhoods in contact topology and fillability. Geom. Topol. 14 (2010), no. 2, 719--754.

High dimensional contact topology:

Casals, R., Pancholi, D., Presas, F., Almost contact 5-manifolds are contact. Annals of Mathematics, vol. 182, n. 2 (2015) 429-490.

R. Casals, E. Murphy, F. Presas, Geometric criteria for overtwistedness

Foliated Symplectic Topology:

Casals, R., del Pino, A., Presas, F., h-Principle for Contact Foliations, International Mathematics Research Notices 2015

Review of approximately holomorphic geometry on contact manifolds:

Presas, Francisco. Geometric decompositions of almost contact manifolds. Contact and symplectic topology, 137--172, Bolyai Soc. Math. Stud., 26.

Engel geometry: research project

R. Casals, J. L. Pérez, A. del Pino, F. Presas, Existence h-principle for Engel structures.