DAVID F. MARTÍNEZ TORRES
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1 DAVID F. MARTÍNEZ TORRES CONTACT DATA Mailing address: Mathematical Institute Utrecht University P.O. Box TA Utrecht, THE NETHERLANDS address: Web: martinez/intro.html PERSONAL DATA Birth date: May, 1973 Citizenship: Spanish CURRENT PROFESSIONAL SITUATION Mathematics Department PostDoc. Contract on Prof. M. Crainic Mar Dec ERC Starting Grant. PROFESSIONAL EXPERIENCE Mathematical Institute PostDoc (under N. Hitchin). EDGE scholarship Apr May 2004 Oxford Univ. Mathematics Department PostDoc (under P. Lisca). G. Galilei scholarship Jun Apr Pisa Univ. Mathematics Department PostDoc (under M. Crainic). Contract on NWO Oct Jun project Symmetries and deformations in geometry IST, Lisbon Assistant Researcher. Ciência contract 1 Jul Jun EDUCATION Complutense Univ. Degree in Mathematics Fall 1991-Spring 1996 UC Berkeley Master of Arts in Mathematics Fall 1997-Fall 1998 Carlos III Univ. Ph. D in Mathematics. June 2003 Thesis: Geometries with topological character. Adviser: Alberto Ibort Latre. RESEARCH INTERESTS Poisson geometry; Lie algebroid and Lie groupoid theory; Foliation theory; Differential topology and topology of symplectic and contact manifolds; Complex geometry, CR geometry, and almost complex geometry. RESEARCH Published papers (most of them available in my web page) 1. Uniform asymptotic polynomial approximation to constants of the motion. Publ. R. Soc. Mat. Esp., 2 (1999), (with A. Ibort and F. Presas). 2. On the construction of contact submanifolds with prescribed topology. J. Differential Geom. 56 (2000), no. 2, (with A. Ibort and F. Presas). 3. Open book decompositions for almost contact manifolds. XI Fall Meeting in Geometry and Physics (Oviedo, Spain, 2002). Publ. R. Soc. Mat. Esp. 6 (2003), (with V. Muñoz and F. Presas). 4. A new construction of Poisson Manifolds. J. Symplectic Geom. 2 (2003), no. 1, (with A. Ibort). 1 Note: awarded an FCT Development grant (Associated Researcher position) at IST for the period
2 5. Global classification of generic multi-vector fields of top degree. J. London Math. Soc. (2) 69 (2004), no. 3, Approximately holomorphic geometry and estimated transversality on 2-calibrated manifolds. C. R. Math. Acad. Sci. Paris 338 (2004), no. 9, (with A. Ibort). 7. Lefschetz pencil structures for 2-calibrated manifolds. C. R. Math. Acad. Sci. Paris 339 (2004), no. 3, (with A. Ibort). 8. The geometry of 2-calibrated structures. Portugal. Math. (N.S.) Vol 66, Fasc. 4, (2009), A note on the separability of canonical integrations of Lie algebroids. Math. Res. Lett. 17 (2010), no. 1, Generic linear systems for projective CR manifolds. Differential Geom. Appl. 29 (2011), no. 3, Universal models via embedding and reduction for locally conformal symplectic structures. Ann. Global Anal. Geom. 40 (2011) no. 3, (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), no. 2, A note on strict C-convexity. Rev. Mat. Complut. 25 (2012), no. 1, Non-linear symplectic Grassmannians and prequantum line bundles. Int. J. Geom. Methods Mod. Phys. 9 (2012), no. 1., Codimension one foliations calibrated by non-degenerate closed 2-forms. To appear in Pacific J. Math. 261 (2013), no. 1., DOI /pjm Non-refereed papers 1. Poisson manifolds of compact type, Poisson Geometry and its applications Oberwolfach Report (2007), no. 23, (with M. Crainic and R. L. Fernandes). Preprints and work in progress i. Poisson manifolds of compact type I (with M. Crainic and R. L. Fernandes). In progress. ii. Poisson manifolds of compact type II: Leaf spaces and integral affine geometry (with M. Crainic and R. L. Fernandes). In progress. iii. Poisson manifolds of compact type III: quasi-hamiltonian spaces and constructions of Poisson manifolds of compact type (with M. Crainic and R. L. Fernandes). In progress. iv. Regular resolutions of proper Lie groupoids (avec M. Crainic et R. L. Fernandes). In progress. (find at the video of my presentation in the Congress Poisson 2012 where I report on the progress in the works i,ii,iii and iv). v. Non-contractible loops in the fundamental group of the group of diffeomorphisms of coadjoint orbits (with I. Mundet i Riera). In progress. vi. Holonomy groupoid and Donaldson type divisors in foliations calibrated by closed 2-forms. In progress. vii. Constructions of closed b-symplectic manifolds via symplectic topology (with P. Frejlich and E. Miranda). In progress. Membership in funded research projects MCT (Spain) Symplectic geometry and low dimensional topology Jan Dec Principal Investigator: A. Ibort (UC3M, Madrid) MCT (Spain) Symplectic geometry and geometric mechanics Nov Dec PI: M. de Leon (CSIC, Madrid) MCT (Spain) Geometry and Physics network Jan Dec PI: O. Garcia-Prada (CSIC, Madrid)
3 MCT (Spain) Geometry and topology of moduli spaces Sep Aug PI: O. Garcia-Prada (CSIC, Madrid) NWO (Holland) Symmetries and deformations in geometry Oct Jun PI: M. Crainic (Utrecht) NWO, Amsterdam, Geometry and quantum theory Oct Jun Utrecht, Nijmegen Univ. FCT (Portugal) POCTI 2010/FEDER. PI: C. Rocha (IST, Lisbon) Jul Jun FCT (Portugal) Symplectic geometry and affine ones Feb Feb PI: R. L. Fernandes (IST, Lisbon) ESF Contact and Symplectic Topology Mar Mar PI: F. Bourgeois (Bruxelles) FCT (Portugal) and Symplectic Topology and Poisson Geometry CAPES (Brazil) PI: M. Abreu (IST, Lisbon) FCT (Portugal) Hamiltonian actions and Integrability in Geometry, Jul Jun.2015 and Topology. PI: M. Abreu (IST, Lisbon) FCT (Portugal) Geometria e Física-Matemática, Excelência 2012 Jan Dec.2016 PI: M. Abreu (IST, Lisbon) Short research stays Paris VI Graduate research stay (under C.-M. Marle). May 2001 MCT (Spain) funding IST (Lisbon) Graduate research stay (under R. L. Fernandes). May 2002-Jun MCT (Spain) funding IMPA Invited Professor for the summer course Jan Feb CRM (Barcelona) Invited Professor within the programme Jun Geom. Flows. Equiv. Problems in Sympl. Geom. La Laguna Univ. Invited research stay Mar (Tenerife, Spain) ESI (Vienna) Research stay within the programme Oct Higher Structures in Mathematics and Physics UPC (Barcelona) Research stay. CAST (ESF) funding 21 Nov.-11 Dec Invited research stay Mar Jun 2013 Invited seminars in Congresses UPC (Barcelona) II GESTA Meeting (Symplectic Geometry Feb with Algebraic Techniques) Renyi Inst. (Budapest) Conference Invariants in Low Dimensional Topology Jun Salamanca Univ. IV GESTA Meeting Jan Oberwolfach Workshop Poisson Geometry and Applications May IMPA 22 Coloquio Brasileiro de Matematica Aug Sheffield Univ Workshop on Lie algebroids and Lie groupoids Oct in differential geometry CRM (Barcelona) Workshop New trends in Poisson geometry Jun Mini-symposium in algebraic topology Dec. 2008
4 Goettingen Univ. CRCG Workshop Higher Structures Feb in Topology and Geometry II Porto Univ. XVIII Meeting in Geom., Topology and Physics Jul IMPA Workshop Conservative Dynamics and Aug Symplectic Geometry Santiago de Compos- 4th Summer School on Geometry, Mechanics Jul tela Univ. (Spain) and Control Leiria Univ. (Portugal) Encontro Nacional da Sociedade Portuguesa Jul de Matematica Poisson Geometry in Mathematics and Physics Jul Chuo Univ. (Tokyo) International Conference on Foliations Sep ICMAT, Madrid Symplectic Techniques in Dynamical Systems Nov Other invited talks Paris VI Geometry Seminar May 2001 ULB (Bruxelles) Geometry Seminar Apr IST (Lisbon) Geometria em Lisboa May 2002 Mathematical Inst. Geometry and Analysis Seminar May 2004 (Oxford) Pisa Univ. Geometry Seminar Sep Stafcolloquium Dec Toulouse Univ. Differential Equations Seminar Oct IST (Lisbon) Geometria em Lisboa Apr Porto Univ. Geometry Seminar Oct The Friday fish activities Dec Goettingen Univ. Geometry Seminar Feb Campinas Univ. Geometry Seminar Jul UPC (Barcelona) GESTA Barcelona-Madrid Seminar Nov UPC (Barcelona) Teen Seminar Dec Sao Carlos Univ. Geometry Seminar Aug (Brasil) IMPA Geometry Seminar Aug TEACHING AND ADVISING Undergraduate Teaching Carlos III Univ. Ordinary differential equations Fall 2001 Masters Degree Teaching Symplectic Geometry (Teaching assistant of Fall 2006 J.J. Duistermaat) Student s Seminar on Poisson geometry, Lie alge- Fall 2006 broids and Lie groupoids (joint w. M. Crainic) Student s Seminar on Poisson geometry, Lie alge- Spring 2007 broids and Lie groupoids (joint with H. Bursztyn and M. Crainic) Graduate Teaching Topology of differentiable manifolds Spring 2008 Minicourses Carlos III Univ. The geometry of 2-calibrated manifolds Feb (8 hours) IMPA Contact geometry and topology (9 h.) Jan La Laguna Univ. Approximately holomorphic techniques in Mar (Tenerife, Spain) Colima Univ. symplectic and related geometries (8 h.) Group actions in symplectic geometry (5 h.) Jan (Mexico) Advising duties Adviser of L. Tamas for the Master Degree Project Spring 2007
5 ORGANIZATION, SCIENTIFIC AND ADMINISTRATIVE PANELS Organization Carlos III Univ. VII GESTA Meeting on Symplectic and Contact Aug Topology, ICM 2006 satellite Floer Homology Seminar Fall 2006-Spring 2007 IST (Lisbon) Geometry Seminar: open book decompositions Fall 2009 in contact geometry IST (Lisbon) Geometry Seminar: QRT maps Fall 2010 IST (Lisbon) X GESTA Meeting on Symplectic and 9-12 Jun Contact Topology Scientific Committees (Congresses and Dissertations) C. Arias Abad PhD dissertation Dec IST (Lisbon) S. Sandon PhD dissertation Dec IST (Lisbon) P. Frejlich PhD dissertation Jun CIEM (Castro XI GESTA Meeting New trends in 27 Jun.-1 Jul Urdiales, Spain) Symplectic and Contact Geometry IST (Lisbon) J.P. Roggiero Ayala PhD dissertation Sep IST (Lisbon) Maria J. Quitão Braga PhD dissertation Dec Minho U. (Braga) Jose Oliveira PhD dissertation Feb Administrative duties IST (Lisbon) PostDoc hiring Committee 2011 AWARDS AND GRANTS MCT (Spain) Introduction to Research Grant at Universidad Complutense de Madrid, Algebra Section, Fall Spring Extraordinary Prize for Undergraduate Studies, awarded by the Department of Mathematics of Complutense University for the best undergraduate degree in Mathematics, Complutense Prize in Sciences, awarded by Complutense University to the best degree in sciences, La Caixa Foundation Grant for Masters Degree at UCBerkeley, Fall 1997-Fall MCT (Spain) Graduate Studies Grant at Universidad Carlos III, Spring 1999-Fall MCT Postdoctoral Grant 2004 (declined). FCT (Portugal) Ciência Assistant Researcher Grant at IST (Lisbon), June 2008-Present. FCT Associated Researcher Grant at IST (Lisbon), French qualification for Professeur des Universités (n ). ACADEMIC SERVICE Referee for Acta Mathematica Vietnamica (Geometrical methods in dynamics and topology 2011 proceedings), Banach Center Publications, Bulletin of the Brazilian Mathematical Society (Poisson 2010 proceedings), Canadian Journal of Mathematics, Indagationes Mathematicae, International Mathematics Research Notices and Journal of the Mathematical Society of Japan Revier for MathReviews since LANGUAGES Spanish (native); English; Portuguese (read and spoken); Basic French, Italian and Norwegian.
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