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Profile
| Academic position | Full Professor |
|---|---|
| Research fields | Differential geometry,Dynamical systems and ergodic theory |
| Keywords | Mathematical Physics, Hamiltonian Dynamics, Symplectic Geometry, Poisson Geometry, Geometric Quantisation |
| Honours and awards | 2025: Gauss Professor at the Academy of Göttingen 2025: Nachdiplom lecturer at ETHZ 2024: STEM Woman Award 2023: The London Mathematical Hardy Lecturer 2022: Bessel Prize 2022: François Deruyts Prize by the Royal Academy of Belgium 2021: ICREA Academia Prize 2017: Chaire d'Excellence de la Fondation des Sciences Mathématiques de Paris 2016: ICREA Academia Prize |
Current contact address
| Country | Spain |
|---|---|
| City | Barcelona |
| Institution | Universitat Politecnica de Catalunya |
| Institute | Department of Mathematics |
Host during sponsorship
| Prof. Dr. Hansjörg Geiges | Mathematisches Institut, Universität zu Köln, Köln |
|---|---|
| Start of initial sponsorship | 01/07/2022 |
Programme(s)
| 2022 | Friedrich Wilhelm Bessel Research Award Programme |
|---|
Nominator's project description
| Professor Miranda is an outstanding mathematician who has made significant contributions to Poisson and singular symplectic geometry as well as geometric quantisation. She has received wide international recognition, including extensive press coverage in popular magazines, for her ground-breaking work in fluid dynamics, concerning Turing complete Euler flows and the Navier-Stokes equations. During her stay in Germany, Professor Miranda's research will focus on questions at the interface of symplectic topology and dynamical systems. |
Publications (partial selection)
| 2022 | Miranda, Eva and Oms, C{\'e}dric and Peralta-Salas, Daniel: On the singular Weinstein conjecture and the existence of escape orbits for b-Beltrami fields. In: Communications in Contemporary Mathematics, 2022, 2150076 |
|---|---|
| 2022 | Braddell, Roisin and Kiesenhofer, Anna and Miranda, Eva: b-Structures on Lie groups and Poisson reduction. In: Journal of Geometry and Physics, 175, 2022, 104471 |
| 2021 | Cardona, Robert and Miranda, Eva and Peralta-Salas, Daniel and Presas, Francisco: Constructing Turing complete Euler flows in dimension 3. In: Proceedings of the National Academy of Sciences, 118, 2021, |
| 2021 | Mir, Pau and Miranda, Eva: Geometric quantization via cotangent models. In: Analysis and Mathematical Physics, 11, 2021, 1--35 |
| 2021 | Guillemin, Victor W and Miranda, Eva and Weitsman, Jonathan: On geometric quantization of $$ b\^{} m $$ bm-symplectic manifolds. In: Mathematische Zeitschrift, 298, 2021, 281--288 |
| 2021 | Cardona, Robert and Miranda, Eva and Peralta-Salas, Daniel and Presas, Francisco: Reeb Embeddings and Universality of Euler Flows. Extended Abstracts GEOMVAP 2019. Birkhäuser, Cham, 2021. 115--120 |
| 2021 | Miranda, Eva and Oms, C{\'e}dric: The singular Weinstein conjecture. In: Advances in Mathematics, 389, 2021, 107925 |
| 2021 | Cardona, Robert and Miranda, Eva and Peralta-Salas, Daniel: Turing universality of the incompressible Euler equations and a conjecture of Moore. In: arXiv preprint arXiv:2104.04356, 2021, |
| 2020 | Miranda Galcer{\'a}n, Eva: Buscando {\'o}rbitas peri{\'o}dicas. In: La Gaceta de la Real Sociedad Matem{\'a}tica Espa{\~n}ola, 23, 2020, 631--654 |
| 2020 | Mir, Pau and Miranda, Eva: Rigidity of cotangent lifts and integrable systems. In: Journal of Geometry and Physics, 157, 2020, 103847 |
| 2020 | Miranda, Eva and Scott, Geoffrey: The geometry of $ E $-manifolds. In: Revista Matem{\'a}tica Iberoamericana, 37, 2020, 1207--1224 |
| 2019 | Braddell, Roisin and Delshams, Amadeu and Miranda, Eva and Oms, C{\'e}dric and Planas, Arnau: An invitation to singular symplectic geometry. In: International Journal of Geometric Methods in Modern Physics, 16, 2019, 1940008 |
| 2019 | Guillemin, Victor and Miranda, Eva and Weitsman, Jonathan: Desingularizing-symplectic structures. In: International Mathematics Research Notices, 2019, 2019, 2981--2998 |
| 2019 | Cardona, Robert and Miranda, Eva and Peralta-Salas, Daniel: Euler flows and singular geometric structures (Euler flows and singular geometric structures). In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Royal Society), 2019, |
| 2019 | Cardona, Robert and Miranda, Eva: On the volume elements of a manifold with transverse zeroes. In: Regular and Chaotic Dynamics, 24, 2019, 187--197 |
| 2019 | Cardona, Robert and Miranda, Eva and Peralta-Salas, Daniel and Presas, Francisco: Universality of Euler flows and flexibility of Reeb embeddings. In: arXiv preprint arXiv:1911.01963, 2019, |
| 2018 | Miranda, Eva and Planas, Arnau: Classification of bm-Nambu structures of top degree. In: Comptes Rendus Mathematique, 356, 2018, 92--96 |
| 2018 | Guillemin, Victor W and Miranda, Eva and Weitsman, Jonathan: Convexity of the moment map image for torus actions on bm-symplectic manifolds. In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 376, 2018, 20170420 |
| 2018 | Miranda, Eva and Planas, Arnau: Equivariant classification of bm-symplectic surfaces. In: Regular and Chaotic Dynamics, 23, 2018, 355--371 |
| 2018 | Cardona, Robert and Miranda, Eva: Integrable systems and closed one forms. In: Journal of Geometry and Physics, 131, 2018, 204--209 |
| 2018 | Guillemin, Victor W and Miranda, Eva and Weitsman, Jonathan: On geometric quantization of b-symplectic manifolds. In: Advances in Mathematics, 331, 2018, 941--951 |
| 2018 | Bolsinov, Alexey and Matveev, Vladimir S and Miranda, Eva and Tabachnikov, Serge: Open problems, questions and challenges in finite-dimensional integrable systems. In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 376, 2018, 20170430 |
| 2018 | Bouloc, Damien and Miranda, Eva and Zung, Nguyen Tien: Singular fibres of the Gelfand--Cetlin system on MANI (n). In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 376, 2018, 20170423 |
| 2018 | Martinez-Torres, David and Miranda, Eva: Zeroth Poisson homology, foliated cohomology and perfect Poisson manifolds. In: Regular and Chaotic Dynamics, 23, 2018, 47--53 |
| 2017 | Frejlich, Pedro and Mart{\'\i}nez Torres, David and Miranda, Eva: A note on the symplectic topology of $ b $-manifolds. In: Journal of Symplectic Geometry, 15, 2017, 719--739 |
| 2017 | Kiesenhofer, Anna and Miranda, Eva: Cotangent models for integrable systems. In: Communications in Mathematical Physics, 350, 2017, 1123--1145 |
| 2017 | Delshams, Amadeu and Kiesenhofer, Anna and Miranda, Eva: Examples of integrable and non-integrable systems on singular symplectic manifolds. In: Journal of Geometry and Physics, 115, 2017, 89--97 |
| 2017 | Miranda, Eva and Presas, Francisco and Solha, Romero: Geometric quantization of semitoric systems and almost toric manifolds. In: arXiv preprint arXiv:1705.06572, 2017, |
| 2017 | Esposito, Chiara and Miranda, Eva: Rigidity of infinitesimal momentum maps. In: Israel Journal of Mathematics, 219, 2017, 757--781 |
| 2017 | Torres, David Mart{\'\i}nez and Miranda, Eva: Weakly hamiltonian actions. In: Journal of geometry and physics, 115, 2017, 131--138 |
| 2016 | Kiesenhofer, Anna and Miranda, Eva and Scott, Geoffrey: Action-angle variables and a KAM theorem for b-Poisson manifolds. In: Journal de Math{\'e}matiques Pures et Appliqu{\'e}es, 105, 2016, 66--85 |
| 2016 | Kiesenhofer, Anna and Miranda, Eva: Noncommutative integrable systems on b-symplectic manifolds. In: Regular and chaotic dynamics, 21, 2016, 643--659 |
| 2015 | Guillemin, Victor and Miranda, Eva and Weitsman, Jonathan: Desingularizing $ b\^{} m $-symplectic structures. In: arXiv preprint arXiv:1512.05303, 2015, |
| 2015 | Guillemin, Victor and Miranda, Eva and Pires, Ana Rita and Scott, Geoffrey: Toric actions on b-symplectic manifolds. In: International Mathematics Research Notices, 2015, 2015, 5818--5848 |
| 2014 | Guillemin, Victor and Miranda, Eva and Pires, Ana Rita and Scott, Geoffrey: Convexity for Hamiltonian torus actions on $ b $-symplectic manifolds. In: arXiv preprint arXiv:1412.2488, 2014, |
| 2014 | Miranda, Eva: Integrable systems and group actions. In: Open Mathematics, 12, 2014, 240--270 |
| 2014 | Guillemin, Victor and Miranda, Eva and Pires, Ana Rita: Symplectic and Poisson geometry on b-manifolds. In: Advances in mathematics, 264, 2014, 864--896 |
| 2013 | Laurent-Gengoux, Camille and Miranda, Eva: Coupling symmetries with Poisson structures. In: Acta Mathematica Vietnamica, 38, 2013, 21--32 |
| 2013 | Garc{\'\i}a Prada, Oscar and Ginzburg, Viktor and Goldman, William and Miranda, Eva and Mu{\~n}oz, Vicente: GESTA 2011: New Trends in Symplectic and Contact Geometry Preface. In: Geometriae Dedicata, 165, 2013, 1--3 |
| 2013 | Miranda, Eva and Presas, Francisco: Geometric Quantization of real polarizations via sheaves. In: arXiv preprint arXiv:1301.2551, 2013, |
| 2013 | Miranda, Eva and Solha, Romero: On a Poincar{\'e} lemma for foliations. Foliations 2012. 2013. 115--137 |
| 2013 | Frejlich, Pedro and Mart{\'\i}nez Torres, D and Miranda, Eva: Symplectic topology of$\backslash$(b$\backslash$)-symplectic manifolds. In: CRM Preprints, 2013, |
| 2012 | Miranda, Eva and Monnier, Philippe and Zung, Nguyen Tien: Rigidity of Hamiltonian actions on Poisson manifolds. In: Advances in mathematics, 229, 2012, 1136--1179 |
| 2012 | Miranda Galcer{\'a}n, Eva: The Hirsch conjecture has been disproved: an interview with Francisco Santos. In: Newsletter of the European Mathematical Society, 2012, |
| 2011 | Laurent-Gengoux, Camille and Miranda, Eva and Vanhaecke, Pol: Action-angle coordinates for integrable systems on Poisson manifolds. In: International mathematics research notices, 2011, 2011, 1839--1869 |
| 2011 | Guillemin, Victor and Miranda, Eva and Pires, Ana Rita: Codimension one symplectic foliations and regular Poisson structures. In: Bulletin of the Brazilian Mathematical Society, New Series, 42, 2011, 607--623 |
| 2011 | Miranda, Eva: From action-angle coordinates to geometric quantization: a round trip. In: Oberwolfach report, Geometric quantization in the non-compact setting, MFO Oberwolfach reports, 2011, |
| 2010 | Hamilton, Mark D and Miranda, Eva: Geometric quantization of integrable systems with hyperbolic singularities. Annales de l'Institut Fourier. 2010. 51--85 |
| 2010 | Miranda, Eva: The Clay Public Lecture and Conference on the Poincar{\'e} Conjecture. In: Newsletter of the European Mathematical Society, 2010, |
| 2009 | Miranda, Eva: Symmetries and singularities in Hamiltonian systems. Journal of Physics: Conference Series. 2009. 012011 |
| 2007 | Miranda, Eva: Some rigidity results for Symplectic and Poisson group actions. XV International Workshop on Geometry and Physics. 2007. 177--183 |
| 2006 | Miranda, E and Zung, NT: A note on equivariant normal forms of Poisson structures, Math. In: Research Notes, 13, 2006, 6 |
| 2005 | Miranda, Eva: A normal form theorem for integrable systems on contact manifolds. 2005, |
| 2005 | Miranda, Eva and Ngọc, San V{\~u}: A singular Poincar{\'e} lemma. In: International Mathematics Research Notices, 2005, 2005, 27--45 |
| 2004 | Miranda, Eva and Zung, Nguyen Tien: Equivariant normal form for nondegenerate singular orbits of integrable Hamiltonian systems. Annales scientifiques de l’Ecole normale sup{\'e}rieure. 2004. 819--839 |
| 2003 | Miranda Galcer{\'a}n, Eva: On symplectic linearization of singular Lagrangian foliations. 2003, |
| 2003 | Curr{\'a}s-Bosch, Carlos and Miranda, Eva: Symplectic linearization of singular Lagrangian foliations in M4. In: Differential Geometry and its applications, 18, 2003, 195--205 |
| 2001 | Miranda, Eva: On the symplectic classification of singular Lagrangian foliations. Proceedings of the IX Fall Workshop on Geometry and Physics (Vilanova i la Geltr{\'u}, 2000), Publ. R. R. Soc. Mat. Esp.. 2001. 239--244 |