Research

RESEARCH INTERESTS

Poisson geometry. Lie theory. Foliation theory. Differential topology and topology of symplectic and contact  manifolds. 

PUBLISHED PAPERS

1.   Uniform asymptotic polynomial approximation to constants of the motion. Publ. R. Soc. Mat. Esp. 2 (1999), 127-133 (with  A. Ibort  and  F.  Presas)

2.   On the construction of contact submanifolds with prescribed topology.  J. Differential Geom.  56 (2000), n. 2, 235-283 (with  A. Ibort  and  F. Presas)

3.   Open book decompositions for almost contact manifolds. XI Fall Meeting in Geometry and Physics. Publ. R. Soc. Mat. Esp.  6 (2003), 131-149  (with   V.  Munoz and F. Presas)

4.   A new construction of Poisson Manifolds.  J. Symplectic Geom.  2  (2003),  n. 1, 83-107 (with A. Ibort)

5.   Global classification of generic multi-vector fields of top degree.  J. London Math. Soc. (2)  69  (2004),  n. 3, 751-766

6.   Approximately holomorphic geometry and estimated transversality on 2-calibrated manifolds.  C. R. Math. Acad. Sci. Paris  338  (2004),  n.9, 709-712 (with A. Ibort)

7.   Lefschetz pencil structures for 2-calibrated manifolds. C. R. Math. Acad. Sci. Paris  339  (2004),  n. 3, 215-218 (with A. Ibort)

8.   The geometry of 2-calibrated structures. Portugal. Math. (N.S.) Vol 66, Fasc. 4, (2009), 427-512

9.   A note on the separability of canonical integrations of Lie algebroids. Math. Res. Lett. 17 (2010), n. 1, 69-75

10. Generic linear systems for projective CR manifolds. Differential Geom. Appl.  29  (2011),  n. 3, 348-360

11. Universal models via embedding and reduction for locally conformal symplectic structures. Ann. Global Anal. Geom. 40 (2011) n. 3, 311-337 (with J. C. Marrero and E.  Padrón)

12.  Contact embeddings in standard contact spheres via approximately holomorphic geometry. J. Math. Sci. Univ. Tokio 18 (2011), n. 2, 139--154

13.  A note on strict C-convexity.  Rev. Mat. Complut. 25 (2012), n. 1, 125-137

14.  Non-linear symplectic Grassmannians and prequantum line bundles. Int. J. Geom. Methods Mod. Phys. 9 (2012), n. 1, 1-18

15.  Codimension one foliations calibrated by non-degenerate closed 2-forms. Pacific J. Math. 261 (2013), n. 1, 165-217.

16.  A Poisson manifold of strong compact type. Indag. Math. (N.S.) 25 (2014), n. 5, 1154-1159 

17.  The diffeomorphism type of canonical integrations of Poisson tensors on surfaces.  Canad. Math. Bull. 58 (2015), no. 3, 575--579

18.  Weakly Hamiltonian actions. J. Geom. Phys. 115 (2017), 131-138 (with E. Miranda)

19.  Semisimple coadjoint orbits and cotangent bundles.  Bull. Lond. Math. Soc. 48 (2016), no 6, 977-984

20.  Symplectic topology of b-symplectic manifolds. J. Symplectic Geom. 15, (2017), n. 3, 719--739  (with P. Frejlich and E. Miranda)

21.  Poisson manifolds of compact types (PMCT 1).  J. Reine Angew. Math. 756 (2019), 101–149 (with M. Crainic and R. L. Fernandes)

22.  The foliated Lefschetz hyperplane theorem. Nagoya Math. J.   231 (2018), 115-127 (with A. del Pino and F.  Presas)

23.  Zeroth Poisson homology, foliated cohomology and perfect Poisson manifolds. Regular and Chaotic Dynamics 23, (2018) n. 1, 47--53 (with  E. Miranda)

24. Regular Poisson manifolds of compact types (PMCT 2). Asterisque 413 (2019), 1-156  (with  M. Crainic and R. L. Fernandes)

25. Proper Lie groupoids are real analytic.  J. Reine Angew. Math. 769 (2020), 35-53 

26. An atlas adapted to the Toda flow .  IMRN (2022), doi.org/10.1093/imrn/mac210/6654441  (with C. Tomei)

27. Non-exactness of toric Poisson structures.  J. Geom. Phys. (2022), doi.org/10.1016/j.geomphys.2022.104645 (with M. Silva)

28. PDEs from matrices with orthogonal columns.  R. Mat. Iberoam. (2023), doi.org/10.4171/RMI/1405

29. Linearizing Toda and SVD flows on large phase spaces of matrices with real spectrum. Phys. D: Nonlinear Phenomena, doi.org/10.1016/j.physd.2023.133752 (with R. Leite, N. Saldanha and C. Tomei)

30.  Canonical domains for coadjoint orbits . J. London Math. Soc. (2023), doi.org/10.1112/jlms.12803

SUBMITTED PREPRINTS

i.  Nontrivial bundles of coadjoint orbits over S2.  Preprint arXiv:1709.05247  (with I. Mundet i Riera)  

ii.  Coregular submanifolds and Poisson submersions .  Preprint arXiv:2010.09058  (with L. Brambila and P. Frejlich)