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EVA MARTINEZ ROMERO
Fachbereich Mathematik und Informatik
Freie Universität Berlin
Arnimallee 3, 14195 Berlin, Deutschland
(+49) 30 838 75437 / (+49) 176 726 83032
[email protected]
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
Derived categories, stability conditions, algebraic geometry, principal bundles, moduli
of vector bundles, arithmetic geometry, Arakelov theory.
FELLOWSHIPS, PhD student in the IRTG 1800, Moduli and Automorphic Forms, Berlin-AmsterdamPOSITIONS
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 Forschungsseminar Komplexe Analysis, 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,
ORGANIZATION Germany, February 2016.
Matefest-Infofest 2010 and 2011.
Coordinator of talks and institutions of the Matefest-Infofest 2011 in the University of
Barcelona, Spain, April 2011.
SCHOOLS,
7th European Congress of Mathematics
CONFERENCES 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
Attended the school on recent trends in the arithmetic of Moduli and Automorphic
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
Attended the school on recent trends in the arithmetic of Moduli and Automorphic
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
Attended the school on recent trends in the arithmetic of Moduli and Automorphic
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
Forschungsseminar Komplexe Analysis
Freie Universität Berlin, June 2016.
• Berkovich spaces I
IRTG 1800, Moduli and Automorphic Forms, College Seminar
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
Forschungsseminar Komplexe Analysis
Freie Universität Berlin, February 2016.
• Quivers of finite representation type
Forschungsseminar Komplexe Analysis
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
Forschungsseminar Komplexe Analysis
Freie Universität Berlin, October 2015.
• Stability conditions on K3 surfaces
Forschungsseminar Komplexe Analysis
Freie Universität Berlin, June 2015.
• Group schemes. Nerón models. Semistable reduction
IRTG 1800, Moduli and Automorphic Forms, College Seminar
Humboldt Universität zu Berlin, May 2015.
• Derived categories of coherent sheaves and t-structures
Forschungsseminar Komplexe Analysis
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 GQl
IRTG 1800, Moduli and Automorphic Forms, College Seminar
Humboldt Universität zu Berlin, May 2014.
• Sheaves in the Nisnevich topology
Forschungsseminar Komplexe Analysis
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
Forschungsseminar Komplexe Analysis
Freie Universität Berlin, January 2014.
• Arakelov vector bundles over arithmetic curves
Seminari Informal de Matemàtiques de Barcelona (SIMBA)
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
Forschungsseminar Komplexe Analysis
Freie Universität Berlin, November 2013.
• Moduli spaces of stable rank 2 vector bundles on flag manifolds
Forschungsseminar Komplexe Analysis
Freie Universität Berlin, October 2013.
• Moduli spaces of stable rank 2 vector bundles on flag manifolds
Seminari Informal de Matemàtiques de Barcelona (SIMBA)
Universitat de Barcelona, July 2013.
• Parametrització de corbes racionals
Seminari Informal de Matemàtiques de Barcelona (SIMBA)
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.

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