Published papers

Integrable systems on singular symplectic manifolds: From local to Global
R. Cardona and E. Miranda
IMRN
[arXiv: 2007.10314]
Looking at Euler flows through a contact mirror: Universality and undecidability
R. Cardona, E. Miranda and D. Peralta-Salas
Submitted.
[arXiv: 2107.09471]
The singular Weinstein Conjecture
E. Miranda and C. Oms
Advances in Mathematics,, Volume 389,2021,107925, ISSN 0001-8708, https://doi.org/10.1016/j.aim.2021.107925. (https://www.sciencedirect.com/science/article/pii/S0001870821003649) (want to know more? Check here: https://youtu.be/qwEuYuIPUJo )
[arXiv: 2005.09568]
Turing universality of the incompressible Euler equations and a conjecture of Moore
R. Cardona, E. Miranda and D. Peralta-Salas
To appear in IMRN
[arXiv: 210404356]
Constructing Turing complete Euler flows in dimension 3
R. Cardona, E.Miranda, D. Peralta-Salas, F. Presas
Proceedings of the National Academy of Sciences May 2021, 118 (19) e2026818118
[arXiv: 2012.12828]
The geometry of E-manifolds
E. Miranda and G. Scott
Rev. Mat. Iberoam. 37 (2021), no 3, 1207--1224
[arXiv: 1802.02959]
Geometric Quantization via cotangent models
P. Mir and E. Miranda
Anal.Math.Phys. 11, 118 (2021).
[arXiv: 2102.02699]
On the singular Weinstein conjecture and the existence of escape orbits for b-Beltrami vector fields
E.Miranda, C. Oms and D. Peralta-Salas
To appear in Contemporary Mathematics
[arXiv: 2010.00564]
b-Structures on Lie groups and Poisson reduction
R. Bradel, A. Kiesenhofer and E. Miranda
Submitted.
[arXiv: 2010.04770]
Rigidity of cotangent lifts and integrable systems
E. Miranda and P. Mir
The Journal of Geometry and Physics https://www.sciencedirect.com/science/article/pii/S0393044020301698
[arXiv: 2006.12477]
The geometry and topology if contact structures with singularities
E. Miranda and C. Oms
Submitted.
[arXiv: 1806.05638]
Reeb embeddings and Universality of Euler flows
R. Cardona, E. Miranda, D. Peralta-Salas and F. Presas
Submitted.
[arXiv: 1911.01963]
Euler flows and singular geometric structures
R. Cardona, E. Miranda and D. Peralta-Salas
Philos. Trans. Roy. Soc. A 377 (2019), no. 2158, 20190034, 15 pp.
[arXiv: 1902.00039]
On the volume elements of a manifold with transverse zeroes
R. Cardona and E. Miranda
Regul. Chaotic Dyn. 24 (2019), no. 2, 187–197.
[arXiv: 1812.03800]
A b-symplectic slice theorem
R. Braddell, A. Kiesenhofer and E. Miranda
Submitted.
[arXiv: 1811.11894]
Contact structures with singularities
E. Miranda and C. Oms
Submitted.
[arXiv: 1806.05638]
Open Problems, Questions, and Challenges in Finite-Dimensional integrable systems
A. Bolsinov, V. Matveev, E. Miranda and S. Tabachnikov
Philos. Trans. Roy. Soc. A 376 (2018), no. 2131, 20170430, 40 pp.
[arXiv: 1804.03737]
On geometric quantization of b-symplectic manifolds
V. Guillemin, E. Miranda and J. Weitsman
Adv. Math. 331 (2018), 941–951
[arXiv: 1608.08667]
Equivariant classification of b^m-symplectic surfaces
E. Miranda and A. Planas
Regular and Chaotic Dynamics.23, 355–371(2018)
[arXiv: 1607.01748 ]
Convexity of the moment map image for torus actions on b^m-symplectic manifolds
V. Guillemin, E. Miranda and J. Weitsman
Philos. Trans. Roy. Soc. A 376 (2018), no. 2131, 20170420, 6 pp.
[arXiv: 1801.01097]
Integrable systems and closed one forms
R. Cardona and E. Miranda
J. Geom. Phys. 131 (2018), 204–209
[arXiv: 1712.08156]
Singular fibers of the Gelfand--Cetlin system on $u(n)^*$
D. Bouloc, E. Miranda and N.T Zung
Philos. Trans. Roy. Soc. A 376 (2018), no. 2131, 20170423, 28 pp.
[arXiv: 1803.08332]
On geometric quantization of b^m-symplectic manifolds
V. Guillemin, E.Miranda and J. Weitsman
Submitted.
[arXiv: 1801.03762]
Classification of b^m-Nambu structures of top degree
E. Miranda and A. Planas
C. R. Math. Acad. Sci. Paris. 356 (2018), no. 1, 92–96
[arXiv: 160701748]
Zeroth Poisson homology, foliated cohomology and perfect Poisson manifolds
D. Martínez-Torres and E. Miranda
Regul. Chaotic Dyn. 23 (2018), no. 1, 47–53
[arXiv: 170901176]
An invitation to Singular Symplectic Geometry
R. Braddell, A. Delshams, E. Miranda, C. Oms and A. Planas
Int. J. Geom. Methods Mod. Phys. 16 (2019), suppl. 1, 1940008, 16 pp
[arXiv: 1705.03846]
Desingularizing b^m-symplectic structures
V. Guillemin, E. Miranda and J. Weitsman
Int. Math. Res. Not. IMRN 2019, no. 10, 2981–2998.
[arXiv: 1512.05303]
Rigidity of infinitesimal momentum maps
C. Esposito and E. Miranda
Israel J. Math. 219 (2017), no. 2, 757–781.
[arXiv: 1410.5202]
Cotangent models for integrable systems
A. Kiesenhofer and E. Miranda
Communications in Mathematical Physics. 350 (2017), no. 3, 1123–1145
[arXiv: 1601.05041]
Weakly Hamiltonian actions
D. Martínez-Torres and E. Miranda
J. Geom. Phys. 115 (2017), 131–138
[arXiv: 1602.03542]
Examples of integrable and non-integrable systems on singular symplectic manifolds
A. Delshams, A. Kiesenhofer and E. Miranda
Journal of Geometry and Physics. 115 (2017), 89–97
[arXiv: 1512.08293 ]
Geometric Quantization of Semitoric Systems and almost toric manifolds
E. Miranda, F. Presas and R. Solha
To appear in Journal of Symplectic Geometry
[arXiv: 1705.06572]
Non-commutative integrable systems on b-symplectic manifolds
A. Kiesenhofer and E. Miranda
Regul. Chaotic Dyn. 21 (2016), no. 6, 643–659
[arXiv: 1606.02605]
Convexity for Hamiltonian torus actions on b-symplectic manifolds
V. Guillemin, E, Miranda, A.Pires and G. Scott
Math. Res. Lett. 24 (2017), no. 2, 363–377
[arXiv: 1412.2488]
A note on symplectic topology of b-symplectic manifolds
P. Frejlich, D. Martinez Torres and E. Miranda
J. Symplectic Geom. 15 (2017), no. 3, 719–739
[arXiv: 1312.7329]
Action-angle variables and a KAM theorem for b-Poisson manifolds
A. Kiesenhofer, E. Miranda and G. Scott
J. Math. Pures Appl. 105 (2016), no. 1, 66-85
[arXiv: 1502.03489]
Geometric Quantization of real polarizations via sheaves
E. Miranda and F. Presas
J. Symplectic Geom. 13 (2015), no. 2, 421–462
[arXiv: 1301.2551 ]
A note on symplectic and Poisson linearization of semisimple Lie algebra actions
E. Miranda
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[arXiv: 1503.03840 ]
Symplectic and Poisson geometry on b-manifolds
V. Guillemin, E. Miranda and A. R. Pires
Adv. Math. 264 (2014), 864–896
[arXiv: 1206.2020]
Toric actions on b-symplectic manifolds
V. Guillemin, E. Miranda, A. R. Pires and G. Scott
Int. Math. Res. Not. IMRN. 2015, no. 14, 5818–5848
[arXiv: 1309.1897]
A Poincaré lemma in Geometric Quantisation
E. Miranda and R. Solha
J. Geom. Mech. 5 (2013), no. 4, 473–491
[arXiv: 1307.3275]
On a Poincaré lemma for foliations
E. Miranda and R. Solha
Foliations 2012, pp. 115-137 (2013)
[arXiv: 1301.5819]
Integrable systems and group actions
E. Miranda
Central European Journal of Mathematics. 12 (2014), no 2, 240-270
Coupling symmetries with Poisson structures
C. Laurent-Gengoux, E. Miranda
Acta Mathematica Vietnamica. 38 (2013), no 1, 21–32
[arXiv: 1301.1329]
Rigidity for Hamiltonian actions on Poisson manifolds
E. Miranda, P. Monnier, N. T. Zung
Advances in Mathematics. 229 (2012), no. 2, 1136–1179
[arXiv: 1102.0175]
Codimension one symplectic foliations and regular Poisson manifolds
V. Guillemin, E. Miranda, A. R. Pires
Bulletin of the Brazilian Mathematical Society, New Series. 42(4), 603-623, 2011
[arXiv: 1009.1175]
From action-angle coordinates to geometric quantization: a round trip
E. Miranda
Oberwolfach Report, Geometric Quantization in the non-compact setting. 1107 (2011)
Action-angle coordinates for integrable systems on Poisson manifolds
C. Laurent-Gengoux, E. Miranda, P. Vanhaecke
IMRN International Mathematics Research Notices. 2011, no. 8, 1839–1869
[arXiv: 0805.1679]
Geometric quantization of integrable systems with hyperbolic singularities
M. Hamilton, E. Miranda
Annales de l'Institut de Fourier. vol 60 (1) p. 51-85, 2010
[arXiv: 0808.0338]
Symmetries and singularities of Hamiltonian systems
E. Miranda
Journal of Physics: Conference Series. vol 175 (2009), 1
Symplectic linearization of semisimple actions
E. Miranda
Preprint
Rigidity for Poisson group actions
E. Miranda
Oberwolfach Report. Report number, 25, 2007, pages 33—36 (ISSN: 1660-8933), April 2007
Some rigidity results for Symplectic and Poisson group actions
E. Miranda
XV International Workshop on Geometry and Physics, 177-183, Publ. R. Soc. Mat. Esp., 11, R. Soc. Mat. Esp., Madrid, 2007.
A note on Equivariant normal forms of Poisson structures
E. Miranda, N. T. Zung
Math. Res. Lett. 13 (2006), no. 5-6, 1001–1012.
[arXiv: math/0510523]
A normal form theorem for integrable systems on contact manifolds
E. Miranda
Publicaciones RSME
A singular Poincaré Lemma
E. Miranda, S. Vu Ngoc
IMRN International Mathematics Research Notices. 10.1155/IMRN.2005.27
[arXiv: math/0405430]
Equivariant normal form for nondegenerate singular orbits of integrable Hamiltonian systems
E. Miranda, N. T. Zung
Ann. Sci. Ecole Norm. Sup.,37 (2004), no. 6, 819--839 2004.
[arXiv: math/0302287]
Symplectic linearization of singular Lagrangian foliations
C. Curras-Bosch, E. Miranda
Differential Geometry and its applications, 18, (2), 195-205, 2003.
On symplectic linearization of singular Lagrangian foliations
E. Miranda
Ph. D. thesis, Universitat de Barcelona, June, 2003. published as a book under ISBN: 9788469412374 (all rights protected)
On the symplectic classification of singular Lagrangian foliations
E. Miranda
Proceedings of the IX Fall Workshop on Geometry and Physics (Vilanova i la Geltrú, 2000), 239--244, Publ. R. Soc. Mat. Esp., 3, R. Soc. Mat. Esp., 2001.

Research

Published papers