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.
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.