My academical trajectory in a glimpse:

  1.    Ph.D thesis "On symplectic linearization of singular Lagrangian foliations" at the University of Barcelona in September 2003.

  2.    October 2004-May 31, 2007, Marie Curie EIF postdoc at Laboratoire Émile Picard, Université Paul Sabatier.

  3.   June 1st, 2007 – August 31, 2009, Juan de la Cierva Fellow at the Departament de Matemàtiques at Universitat Autònoma de Barcelona.

  4.   September 2009-August 2013- Professor Lector (Lecturer) at the Department of Applied Mathematics I, UPC.

  5.   September 2013-September 2015- Professor Agregat Interí/Interim Associate Professor at Universitat Politècnica de Catalunya.

  6. Currently (since October 2015), Associate Professor (Professor Agregat) at UPC.

  7. Since January 2016, I am principal investigator of the MTM Research project MTM2015-69135-P, Geometría y Topología de variedades, álgebra y aplicaciones.

  8. Since December 2016, I am the head of the Laboratory of Geometry and Dynamical Systems at EPSEB.

  9. Since January 2017 and for 5 years I am an ICREA Academia Professor.

  10. From September 2017 until February 2018, I have been a Chaire d'Excellence de la Fondation Sciences Mathématiques de Paris and my work has been supported by a public grant overseen by the French National Research Agency (ANR) as part of the "Investissements d'Avenir" program (reference: ANR-10-LABX-0098).

  11. I have been selected under the Programa Càtedres-UPC 2017 for promotion to Full Professor.

  12. I am the principal investigator of  the AGAUR SGR research project 2017SGR932 (21 members).

  13. Since May 2018 I am the group leader of the UPC research group GEOMVAP (Geometry of varieties and applications).

  14. Since November 2018, Full Professor (Professor Catedrático) at UPC.

 

 

Affiliations and memberships:

 

1.      Full Professor at UPC, Chercheur Affilié at Observatoire de Paris, Honorary Doctor Vinculado at ICMAT and member of Barcelona Graduate School of Mathematics BGSMath.

2.      I am a member of the European Mathematical Society and a member of Societat Catalana de Matemàtiques.

3.      Since 2011 I am the corresponding member for the SCM and EMS.

 

Accreditations:

  • I am qualified as Full Professor in the area of Geometry and Topology by AQU since October 2016.

  • Since February 2010, I am qualified as Professeur des Universités en Section 25 (Mathématiques) by the French CNU (Conseil des Universités). I was qualified as MCF in February 2008.

  •  I am qualified as Professor agregat  by AQU since 2010.

  •   I am qualified as Profesor Titular de Universidad since April 2015.

 

 

Services for the mathematical community:

 

1-     Since January 2010, I am an editor of the Journal Newsletter of the European Mathematical Society. Since January 2016 I am responsible for the section of Research Centres.

2-     I have been a guest editor for Journal of Geometry and Physics in 2014 and I am currently an editor for another special issue at Journal of Geometry and Physics.

3-     In the past I have been guest editor for Geometriae Dedicata (You can find this issue here) and for Acta Mathematica Vietnamica ( You can find this issue here.)

4-     I am an editor (together with Vladimir Matveev and Enric Ventura) of a volume of the collection Advanced Courses at CRM, Birkhauser on Integrable Systems (publication expected in 2016).

5-     Since October 2011, I am the corresponding member for the EMS-SCM societies.

6-     I have organized a total of 23 workshops and 2 Research programmes at CRM-Barcelona. You can have a look at the section links.

7-     In the past Jaume Amorós and I organized a seminar on geometry for Graduate Students called Teen Seminar.

8-     I am organizing a regular one day intensive seminar called HIS. (HIS stands here for Hamiltonian Intensive Seminar).

9-     In the past I organized a special Seminar on Symplectic and Poisson Geometry in Barcelona.

10-I have served as referee for a list of journals including: Acta Mathematica, Nonlinearity, Annales de l’Institut Fourier, Journal of the London Mathematical Society, Journal of Geometry and Physics, Journal of Mathematical Physics, Journal of Symplectic Geometry, Quaterly Journal of Mathematics, Journal of Regular and Chaotic Dynamics, Revista Matemática Complutense,  Differential Geometry and its applications,  Acta Mathematica Applicandae, AIP Publications, Birkhauser Advanced CRM courses.

11-I've served as research expert for several (Inter)National Research agencies.

 

Distinctions:

 

Curriculum Vitae

My work in a glimpse...some slides and lectures online

  1. My minicourse Geometry and Dynamics of singular symplectic manifolds, Course in the framework of my chaire d'Excellence FSMP at IHP-Paris is available online here and in vimeo.

  2. My minicourse for Poisson 2014 is on youtube.

  3. A video of my talk  at the Focused research workshop on exterior differential systems and Lie theory at Fields Institute, Toronto December, 2013 is available at this link.

  4. Slides for my talk at the EMS-RSME meeting in Bilbao, September 2011.

  5. Slides for my talk at the Oberwolfach meeting: Geometric Quantization in the non-compact setting, February 2011.

  6.  A video of my talk in the Poisson 2010, Rio de Janeiro, July 26, 2010.

  7.     Slides for my talk "Poisson Geometry of b-manifolds" at the Poisson 2010 confererence, July 26, 2010.   A video of my talk in the Conference Conservative Dynamics and Symplectic Geometry, Rio de Janeiro, August 6th 2009.

  8. Una presentació del meu curriculum i projectes en Català. (Juny 2009).

  9.   My presentation for the Workshop Higher Symmetries in Physics, November 2008.

  10.   A presentation of my work in French, May, 2008. en français.

  11.   A presentation of my work on integrable systems, prepared for CSIC, minicourse in December 2007.

  12.  A presentation for the "Colloque: Intégrabilité" Luminy, December 2006.

12.Slides for my talk at the Proceedings of the International Workshop on Geometry and Physics, September 2006.

13.  Slides for my talk at PennState University, April 2006.

14.  Thesis Presentation, September 2003.

   Publications:

·        My thesis:

        Eva Miranda, "On symplectic linearization of singular Lagrangian foliations" ,  June, 2003, edicions de la UB, http://www.tdx.cbuc.es/  (the material of this thesis is copyrighted.)

·         My research papers (the versions posted here might differ slightly from the final published versions):

Publications (as author):

    1. Universality of Euler flows and flexibility of Reeb embeddings (with R. Cardona, D. Peralta-Salas and F. Presas), preprint, 2019, https://arxiv.org/abs/1911.01963.

    2. Geometric Quantization of almost toric manifolds (with F. Presas and R. Solha), arXiv:1705.06572, Journal of Symplectic Geometry, to appear, J. Symplectic Geom (2019).

    3. Euler flows and singular geometric structures (with R. Cardona and D. Peralta-Salas), https://arxiv.org/abs/1902.00039, Philosophical Transactions of the Royal Society A 2019, DOI 10.1098/rsta.2019.0034.

    4. On the volume elements of a manifold with transverse zeroes (with R. Cardona), https://arxiv.org/abs/1812.03800, accepted for publication in Regular and Chaotic Dynamics, scheduled for Volume 24, Issue 2 of 2019.

    5. Cotangent models for group actions on b-Poisson manifolds (with R. Braddell and A. Kiesenhofer), https://arxiv.org/abs/1811.11894

    6. Contact structures with singularities (with C. Oms), https://arxiv.org/abs/1806.05638 (a new version containing a study of the singular Reeb dynamics which I explained at MSRI available on arxiv).

    7. Open Problems, Questions, and Challenges in Finite-Dimensional integrable systems, (with A. Bolsinov, V. Matveev and S. Tabachnikov), arXiv:1804.03737,    Philosophical Transactions of the Royal Society A, 2018.

    8. On geometric quantization of b-symplectic manifolds (with V. Guillemin and J. Weitsman), arXiv:1608.08667, Adv. Math. 331 (2018), 941–951.

    9. Equivariant classification of $b^m$-symplectic surfaces(with A. Planas), https://arxiv.org/abs/1607.01748, to appear at Regular and Chaotic Dynamics, Volume 23, Issue 4 of 2018.

    10. Convexity of the moment map image for torus actions on b^m-symplectic manifolds (with V. Guillemin and J. Weitsman), https://arxiv.org/abs/1801.01097, Philosophical Transactions of the Royal Society A, 2018.

    11. Integrable systems and closed one forms (with R. Cardona), arXiv:1712.08156,  J. Geom. Phys. 131 (2018), 204–209.

    12. Singular fibers of the Gelfand--Cetlin system on u(n)* (with D. Bouloc and N.T Zung), arXiv:1803.08332,   Philosophical Transactions of the Royal Society A, 2018.

    13. The geometry of E-manifolds, (with G. Scott), arXiv:1802.02959, preprint 2018, submitted.

    14. On geometric quantization of $b^m$-symplectic manifolds, (with V. Guillemin and J. Weitsman), arXiv:1801.03762 preprint, 2018, submitted.

    15. Classification of b^m-Nambu structures of top degree (with A. Planas), C. R. Math. Acad. Sci. Paris 356 (2018), no. 1, 92–96.

    16. Zeroth Poisson homology, foliated cohomology and perfect Poisson manifolds (with D. Martínez-Torres),  Regul. Chaotic Dyn. 23 (2018), no. 1, 47–53.

    17. An invitation to Singular Symplectic Geometry (with R. Braddell, A. Delshams, C. Oms and A. Planas), arXiv:1705.03846,  Int. J. Geom. Methods Mod. Phys. 16 (2019), suppl. 1, 1940008, 16 pp.

    18. Desingularizing b^m-symplectic structures (with V. Guillemin and J. Weitsman), arXiv:1512.05303, IMRN, International Mathematics Research Notices

       rnx126, https://doi.org/10.1093/imrn/rnx126,  Int. Math. Res. Not. IMRN 2019, no. 10, 2981–2998.

    19. Rigidity of infinitesimal momentum maps (with C. Esposito), arXiv:1410.5202, Israel J. Math. 219 (2017), no. 2, 757–781.

    20. Cotangent models for integrable systems (with A. Kiesenhofer), http://arxiv.org/abs/1601.05041 Communications in Mathematical Physics,10.1007/s00220-016-2720-x Comm. Math. Phys. 350 (2017), no. 3, 1123–1145.

    21. Weakly Hamiltonian actions (with D. Martínez-Torres),http://arxiv.org/abs/1602.03542, J. Geom. Phys. 115 (2017), 131–138.

    22. Examples of integrable and non-integrable systems on singular symplectic manifolds (with A. Delshams and A. Kiesenhofer), http://arxiv.org/abs/1512.08293 Journal of Geometry and Physics, J. Geom. Phys. 115 (2017), 89–97.

    23. Non-commutative integrable systems on b-symplectic manifolds (with A. Kiesenhofer), https://arxiv.org/abs/1606.02605, Regul. Chaotic Dyn. 21 (2016), no. 6, 643–659.

    24. Convexity for Hamiltonian torus actions on b-symplectic manifolds (with V. Guillemin, A.Pires, G. Scott) arXiv:1412.2488, Math. Res. Lett. 24 (2017), no. 2, 363–377.

    25. A note on symplectic topology of b-symplectic manifolds (with P. Frejlich and D. Martinez Torres), arXiv:1312.7329, J. Symplectic Geom. 15 (2017), no. 3, 719–739.
    26. Action-angle variables and a KAM theorem for b-Poisson manifolds (with A. Kiesenhofer and G. Scott) , Journal des Mathématiques Pures et Appliquées, J. Math. Pures Appl. (9) 105 (2016), no. 1, 66-85.
    27. Geometric Quantization of real polarizations via sheaves (with F. Presas) The Journal of Symplectic Geometry (2015) volume 13, number 2, 421-462.
    28. A note on symplectic and Poisson linearization of semisimple Lie algebra actions, http://arxiv.org/abs/1503.03840, submitted.
    29. Symplectic and Poisson geometry on b-manifolds (with V. Guillemin and A.Pires), Adv. Math. 264 (2014), 864–896.
    30. Toric actions on b-manifolds (with V. Guillemin, A.Pires and G. Scott), Int Math Res Notices (2015) 2015 (14): 5818-5848
    31. A Poincaré lemma in Geometric Quantisation (with R. Solha), Journal of Geometric Mechanics,  473 - 491, Volume 5, Issue 4, 2013.
    32. On a Poincaré lemma for foliations (with R. Solha), Foliations 2012: pp. 115-137 .
    33.  Integrable systems and group actions,  Cent. Eur. J. Math. 12 (2014), no. 2, 240–270.
    34.  Coupling symmetries with Poisson structures (with C. Laurent-Gengoux) ,  Acta Math. Vietnam. 38 (2013), no. 1, 21–32.,
    35. Rigidity for Hamiltonian actions on Poisson manifolds( with P. Monnier and N. T. Zung) ,    Adv. Math. 229 (2012), no. 2, 1136–1179.
    36. Codimension one symplectic foliations and regular Poisson manifolds (with V. Guillemin and A. Pires),  Bull Braz Math Soc, New Series 42(4), 603-623, 2011.
    37.  From action-angle coordinates to geometric quantization: a round trip, Oberwolfach report, Geometric quantization in the non-compact setting, 2011.
    38. Action-angle coordinates for integrable systems on Poisson manifolds, with C. Laurent-Gengoux and  P.Vanhaecke, (for previous version see math.SG arxiv.0805.1679) (31 pages),  Int. Math. Res. Not. IMRN 2011, no. 8, 1839–1869.
    39. Geometric quantization of integrable systems with hyperbolic singularities with M. Hamilton, arXiv:0808.0338, Annales de l'Institut Fourier, vol. 60 (1) p. 51-85, 2010. (36 pages)
    40.  Symmetries and singularities of Hamiltonian systems, J. Phys.: Conf. Ser. 175 012011, 2009.
    41.  Symplectic linearization of semisimple actions, preprint 2008.
    42.  Rigidity for Poisson group actions, Oberwolfach report for the meeting on Poisson Geometry and its applications, Oberwolfach Report, Report number, 25, 2007, pages 33—36 (ISSN: 1660-8933), April 2007.
    43. Some rigidity results for Symplectic and Poisson group actions,  XV International Workshop on Geometry and Physics,, Publ. R. Soc. Mat. Esp., 11,  177-183, R. Soc. Mat. Esp., Madrid, 2007.
    44.  A note on Equivariant normal forms of Poisson structures, (with N. T. Zung)   Mathematical Research Letters, vol 13-6, pages 1001-1012, 2006.
    45.  A normal form theorem for integrable systems on contact manifolds,  Proceedings of the XIII Fall Workshop on Geometry and Physics, Publ. R. Soc. Mat. Esp., 9, R. Soc. Mat. Esp.,  (2005), 240--246.
    46.  A singular Poincaré Lemma (with Vu Ngoc) , IMRN International Mathematics Research Notices, n 1, 27-46, 2005.
    47.  Equivariant normal form for nondegenerate singular orbits of integrable Hamiltonian systems (with Nguyen Tien Zung) , Ann. Sci. Ecole Norm. Sup.,37 (2004), no. 6, 819--839 2004.
    48.  Symplectic linearization of singular Lagrangian foliations (with C. Curras-Bosch), Differential Geometry and its applications,  18, (2), 195-205, 2003.
    49.  "On symplectic linearization of singular Lagrangian foliations" , Ph. D. thesis, Universitat de Barcelona,  June, 2003.
    50.  On the symplectic classification of singular Lagrangian foliations, 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.

 

 Book (New!):

I am currently working on a book project entitled "Geometry and Dynamics of singular symplectic manifolds" (by invitation of the Societé Mathématique de France jointly with Fondation Sciences Mathématiques de Paris) for the collection Cours Spécialisées of the SMF.  By special agreement with FSMP the publication will be made available in open access.

This book aims to be an enhanced and (hopefully) comprehensive version of the course I delivered in October-November-December 2017  at Institut Henri Poincaré during my Chaire d'Excellence de la Fondation Sciences Mathématiques de Paris.  The webpages of the course are available here: https://www.sciencesmaths-paris.fr/fr/le-cours-deva-miranda-933.htm https://mat-web.upc.edu/people/eva.miranda/coursIHP.htm

Stay tuned!

Divulgatio:

  1. The Hirsch Conjecture has been disproved: an interview with Francisco Santos, Newsletter of the EMS,  "Newsletter of the European Mathematical Society", 2012, vol. 86, p. 31-37.
  2. Miranda, Eva; Muñoz, Miguel Carlos Maryam Mirzakhani, a light that will never go out. (Catalan) SCM Not. No. 42 (2017), 53–55.
  3. Columnes de la EMS al Noticies de la SCM 2011-2017.
  4. Columna de la EMS al Notícies de la SCM, Març 2012, 9-11, 32, (2012).
  5. Columna de la EMS al Noticies de la SCM, Febrer 2013, (2013).
  6. The Clay Public Lecture and Conference on the Poincaré Conjecture, Paris, 7-9 June 2010,  Eur. Math. Soc. Newsl, issue 77, pages 21-23,  2010.
  7. Maryam Mirzakhani, una luz que nunca se apagará (con M. Muñoz Lecanda), Boletín de la RSME. 544, 2017.
  8. Congresos y charlas plenarias (Elisa Lorenzo García, Eva Miranda Galcerán, Teresa E. Pérez Fernández y Elena Vázquez Cendón), Boletin de la RSME, 571, 2018.
  9. Faces of Women in mathematics, Boletin de la RSME, 573, 2018.
  10. El efecto Matilda Columna Mujeres y Matemáticas, Boletin de la RSME, 576, 2018.
  11. Entrevista a Sílvia Casacuberta (Boletin de la RSME), Mayo 2018, Boletin 577.
  12. En recuerdo a Maryam Mirzakhani, la exploradora de Superfícies, El Pais, July 14, 2018.
  13.  La matemática ucraniana que podría haber ganado la medalla fields, El País 14 de Agosto de 2018,
  14. La matemática de los fenómenos que se repiten, El País, 9 de Noviembre de 2018.

 Media:

Interview at the Newsletter of the EMS, September 2019.

Interview at ABC, March 2017

A video promoting the bid ICM2022 for Paris

Publications (as editor):

  1. Newsletter of the European Mathematical Society. (editor since 2010).
  2. Guest editor of Special Issue at Journal of Geometry and Physics (deadline to submit: December 2015).
  3. Guest editor of a Topical Issue on Integrable Systems at Journal of Geometry and Physics.
    Journal of Geometry and Physics Volume 87, Pages 1-496 (January 2015)
    Finite dimensional integrable systems: on the crossroad of algebra, geometry and physics
    Edited by Vladimir Matveev, Eva Miranda, Vladimir Roubtsov, Sergei Tabashnikov and San Vu Ngoc
  4. Guest Editor of new Special Issue at Journal of Geometry and Physics. More information available at: http://fdis2015.wfa.uz.zgora.pl/
  5. Editor (together with Vladimir Matveev) of a book in the collection CRM-Advanced Courses (Springer) entitled Geometry and Dynamics of Integrable systems http://www.springer.com/gp/book/9783319335025  ISBN 978-3-319-33503-2.
  6. Guest editor of a Special issue of Geometriae Dedicata for the conference GESTA 2011. This issue was published in 2013 (volume 1, issue 265, August).
  7. Guest editor of a Special issue of Acta Mathematica Vietnamica for the conference GEDYTO. This issue has been published in January 2013 (issue
    38).

Book reports:

Carlos Curras-Bosch i Eva Miranda,  Report sobre el llibre “Symplectic geometry of integrable Hamiltonian systems” ,Notícies de la Societat Catalana de Matemàtiques, 19, 43-44, 2003.

Students

  1.    During the period 2006-2007 during my postdoc at Université de Toulouse I was informally co-supervising (together with Nguyen Tien Zung) Iman Alamiddine who defended her thesis in July 2009 on Singularities of the Gelfand-Ceitlin System.

  2.      Romero Barbieri Solha (Start-Up Brazil, Erasmus Mundus fellow) defended his Ph.D thesis in October 2013 on Geometric Quantization with singularities with the qualification of Excellent cum Laude. He is currently a postdoctoral fellow at Universidade de Minas Gerais.

  3.      Since Fall 2012, I am supervising  the Ph.D thesis of Anna Kiesenhofer (FI grant). She works on Geometry and Dynamics of b-Poisson manifolds. Her defense is scheduled for the academical year 2015-2016.

  4.       2014-2015: Alex Thiele did his undergraduate thesis on “Transversality old and new” under my supervision (co-supervised with Marc Chaperon at Université de Paris 7) with the qualification of Excellent/10

  5.      2014-2015: Arnau Planas did his Master thesis on “Symplectic surfaces with singularities” under my supervision with the qualification of Excel.lent/Matrícula d’Honor.

  6. Arnau Planas is doing the thesis under my supervision on Symmetries and singularities on Poisson manifolds.

  7. Cédric Oms has stated the thesis under my supervision on Global Hamiltonian Dynamics of singular symplectic manifolds. He is financed via a Luxembourguish AFR-FNR project.

  8. Roisin Braddell has started the thesis under my co-supervision (with Amadeu Delshams) on “New geometrical and dynamical techniques for problems in Celestial Mechanics”. She has a contract funded by my ICREA Academia Prize.

  9. Robert Cardona has started the thesis under my supervision. He has an FPI grant starting in August 2018. The title of his thesis is "Singularities, integrable systems and foliations in Symplectic and Poisson Geometry".

  10. Anastasia Matveeva will start her thesis under my supervision in September with an INPHINIT PhD grant. Her thesis topic is to study Interactions between symmetries and singularities in Geometry and Physics. 

  11. We plan to add Sándor Hajdú as PhD student to our team in 2018 in cosupervision with Amadeu Delshams.

 

Postdocs

 

I have acted as supervisor for the following postdocs:

1-    Anne Pichereau (2008-2009)

2-    Marco Zambon (2008-2009)

3-    Mark Hamilton (2008-2009)

4-    Pablo Suárez-Serrato (i-math postdoc) (2010-2011)

5-      Ainhoa Aparicio (3 months doctoral stay in 2009)

6-      Chiara Esposito (2013).

7- Alfonso Tortorella (2018, Juan de la Cierva, Scheduled).

 

"Qu'as tu fait de ta vie, pitance de roi ?
- J'ai vu l'homme.
Je n'ai pas vu l'homme comme la mouette, vague au ventre, qui file rapide sur la mer indéfinie.
J'ai vu l'homme à la torche faible, ployé et qui cherchait. Il avait le sérieux de la puce qui saute, mais son saut était rare et réglementé."

excerpt from Ecce Homo by Henri Michaux