EVA MARTINEZ ROMERO Fachbereich Mathematik und Informatik Freie Universität Berlin Arnimallee 3, 14195 Berlin, Deutschland (+49) 30 838 75437 / (+49) 176 726 83032 emartinez@math.fu-berlin.de http://userpage.fu-berlin.de/emartinez/ EDUCATION Currently Phase 2 (PhD) student supervised by Prof. Dr. Alexander Schmitt, Berlin Mathematical School (Freie Universität Berlin), Germany, since August 2013. Master degree in Advanced Mathematics, University of Barcelona, Barcelona, Spain, July 2013. (Master s Final Project about Moduli spaces of stable rank 2 vector bundles on flag manifolds, supervised by Dr. Laura Costa) Bachelor in Mathematics, University of Barcelona, Barcelona, Spain, July 2012. RESEARCH INTERESTS FELLOWSHIPS, POSITIONS Derived categories, stability conditions, algebraic geometry, principal bundles, moduli of vector bundles, arithmetic geometry, Arakelov theory. PhD student in the IRTG 1800, Moduli and Automorphic Forms, Berlin-Amsterdam- Leiden, since August 2013. Spain s Ministry of Education grant for introduction to research. Computational study of Rational Plane Curves Parameterizable by conics and cubics with Dr. Carlos D Andrea and Dr. Teresa Cortadellas, at University of Barcelona, Spain, January 1st - June 30th, 2012. ACADEMIC ACTIVITIES Member of the selection committee at the Deutsche Mathematiker Vereinigung - Student Conference 2016, awarding recent graduate students presentations of their master theses, coming from all around Germany. Student representative of the Berlin Mathematical School, 2014-2015. SEMINAR Stability conditions on derived categories. ORGANIZATION, Freie Universität Berlin, Germany, Summer Semester 2015. CONFERENCE 4th BMS Student Conference 2016. AND EVENTS Organizer of the 4th BMS Student Conference 2016 in Technische Universität Berlin, ORGANIZATIONGermany, February 2016. SCHOOLS, CONFERENCES Matefest-Infofest 2010 and 2011. Coordinator of talks and institutions of the Matefest-Infofest 2011 in the University of Barcelona, Spain, April 2011. 7th European Congress of Mathematics Attended the quadrennial Congress of the European Mathematical Society that covers the most recent achievements in all areas of theoretical and applied mathematics, in Technische Universität Berlin, Germany, July 18th - July 22nd 2016. Nordfjordeid Summer School: Stability conditions on triangulated categories and geometric applications Attended the school on recent advances on stability conditions on triangulated categories and their applications to the geometry of moduli spaces of sheaves, in the Sophus Lie Conference Center, Nordfjordeid, Norway, June 13th - June 17th 2016.
Arakelov theory and automorphic forms Attended the conference at the occasion of Jürg Kramer s 60th birthday, in Humboldt Universität zu Berlin, Germany, June 6th - June 9th, 2016. Moduli and Automorphic Forms a Meeting for Young Women in Mathematics Attended the conference on algebraic and arithmetic geometry specially addressed to young female mathematicians working in these areas, in Humboldt Universität zu Berlin, Germany, May 12th - May 14th, 2016. Hausdorff School: Derived Categories: Dimensions, Stability Conditions, and Enhancements Attended the school on recent developments in derived categories and stability conditions, in the Hausdorff Center for Mathematics Bonn, Germany, March 29th - April 2nd 2016. MAG2015: Algebra and Geometry Meeting Attended the workshop on concurrent subjects in commutative algebra, algebraic geometry, computational algebra, and homotopy theory, in the Universitat de Barcelona, Spain, 2nd - 4th December 2015. Workshop: New Techniques in Geometric Invariant Theory Attended the workshop on classical results and recent developments in geometric invariant theory, in the Freie Universität Berlin, Germany, August 31st - September 4th 2015. Summer School of the IRTG Moduli and Automorphic Forms 2015 Forms, in the Università di Siena, Siena, Italy, August 24th - August 28th, 2015. AMS Summer Research Institute in Algebraic Geometry 2015 Attended the school on the major achievements in and around algebraic geometry in the past decade, in the University of Utah, Salt Lake City, Utah, July 13th - July 31st, 2015. Bootcamp - AMS Summer Research Institute in Algebraic Geometry 2015 Mentor and topic: Jack Huizenga - Bridgeland stability and moduli spaces of sheaves. Attended the Bootcamp preceding the AMS Summer Research Institute, in the University of Utah, Salt Lake City, Utah, July 6th - July 10th, 2015. VBAC 2014: Algebraic Varieties: Bundles, Topology, Physics Attended the meeting on Algebraic Geometry, covering a broad spectrum of topics and emphasizing those which concern bundles on algebraic varieties and link Algebraic Geometry to Topology or Mathematical Physics, in the Freie Universität Berlin, Germany, September 1st - September 5th, 2014. Summer School of the IRTG Moduli and Automorphic Forms 2014 Forms, in the Alfréd Rényi Institute of Mathematics, Budapest, Hungary, August 25th - August 30th, 2014. CIMPA/TÜBÍTAK/GSU Summer School 2014 Algebraic Geometry and Number Theory Attended the school on algebraic geometry and number theory with topics as Arakelov theory, Hypergeometric Galois actions, Subvarieties of low degree in projective spaces, sheaf cohomology and Birational geometry of moduli spaces (among others), in Galatasaray University, Ístanbul, Turkey, June 2nd - June 13th 2014.
Moduli and Automorphic Forms a Meeting for Young Women in Mathematics Attended the conference on algebraic and arithmetic geometry specially addressed to young female mathematicians working in these areas, in Humboldt Universität zu Berlin, Germany, May 22nd - May 24th, 2014. KOSMOS Summer University 2013 Multiple Zeta Values in Mathematics and Physics Attended the school on multiple zeta values in algebraic/arithmetic geometry and physics, in Humboldt Universität zu Berlin, Germany, October 1st - October 5th, 2013. Summer School of the IRTG Moduli and Automorphic Forms 2013 Forms, in Joachimsthal, Germany, September 8th - September 13th, 2013. Advanced course Compactifying Moduli Spaces Attended the advanced course about compactification of moduli spaces at Centre de Recerca Matemàtica (CRM), Barcelona, Spain, May 27 - May 31, 2013. Clay Mathematics Institute Summer School 2012 Attended the courses on The resolution of singularities at the Obergurgl Centre, Austria, June 3 - June 30, 2012. RESEARCH VISITS April 25th 2016 - April 27th 2016, Mary Immaculate College, University of Limerick (Host: Prof. Dr. B. Kreussler), in Limerick, Ireland. November 2nd 2015 - November 6th 2015, Georg-August-Universität Göttingen (Host: Prof. Dr. U. Stuhler), in Göttingen, Germany. September 15th 2014 - March 15th 2015, University of Leiden (Host: Dr. R.S. de Jong), in Leiden, The Netherlands. October 31st - November 1st, 2013, Georg-August-Universität Göttingen (Host: Prof. Dr. U. Stuhler), in Göttingen, Germany. TEACHING SELECTED TALKS Algebraic Geometry II: Moduli and GIT. Tutorial lessons in Freie Universität Berlin, Winter Semester 2015-16. Vanishing cycles Freie Universität Berlin, June 2016. Berkovich spaces I Humboldt Universität zu Berlin, May 2016. Stability conditions on holomorphic triples over elliptic curves Mary Immaculate College, University of Limerick, April 2016. Proof of the result of Kac, part 2 Freie Universität Berlin, February 2016. Quivers of finite representation type Freie Universität Berlin, November 2015. Complementary polyhedron for bundles on arithmetic curves Oberseminar Stuhler/Wiedmann Georg-August-Universität Göttingen, November 2015.
Holomorphic triples over elliptic curves Freie Universität Berlin, October 2015. Stability conditions on K3 surfaces Freie Universität Berlin, June 2015. Group schemes. Nerón models. Semistable reduction Humboldt Universität zu Berlin, May 2015. Derived categories of coherent sheaves and t-structures Freie Universität Berlin, April 2015. The tensor product problem in Arakelov geometry Algebra, Geometry and Number theory Seminar Universiteit Leiden, November 2014. Galois cohomology and representations of G Ql Humboldt Universität zu Berlin, May 2014. Sheaves in the Nisnevich topology Freie Universität Berlin, May 2014. Group schemes, generalities Seminar on abelian varieties Freie Universität Berlin, April 2014. Arakelov vector bundles over arithmetic curves 2nd Berlin Mathematical School (BMS) Student Conference Humboldt Universität zu Berlin, February 2014. Introduction to Arakelov Geometry I: Arakelov vector bundles over arithmetic curves Freie Universität Berlin, January 2014. Arakelov vector bundles over arithmetic curves Universitat de Barcelona, January 2014. What is... a Grassmannian? Berlin Mathematical School (BMS) What is...? seminar Humboldt Universität zu Berlin, December 2013. Sobolev spaces of sections in fiber bundles Freie Universität Berlin, November 2013. Moduli spaces of stable rank 2 vector bundles on flag manifolds Freie Universität Berlin, October 2013. Moduli spaces of stable rank 2 vector bundles on flag manifolds Universitat de Barcelona, July 2013. Parametrització de corbes racionals Universitat de Barcelona, May 2012. SKILLS Computer Skills Languages: C++, C, LaTeX, Prolog, Python. CAS: Maple, Mathematica, Matlab and SageMath. Statistical Analysis: SPSS.
Languages Native languages: Catalan and Spanish. Fluent: English and French. Basic: Italian and German.