Wissenschaftlicher Mitarbeiterin (Research Fellow), Institute of Mathematics, University of Münster, Germany, Research group of Prof. Urs Hartl.

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1 Cécile Armana Équipe Algèbre et Théorie des Nombres Laboratoire de Mathématiques, UMR CNRS 6623 Université de Franche-Comté, 16 route de Gray, Besançon Cedex, France Phone: armana@math.jussieu.fr Sept Jan. May 2012 Sept. Dec May Aug Personal Born in Nice, France. French citizenship. Positions Maître de conférences (Assistant Professor with tenure), University of Franche-Comté, Besançon, France, Laboratoire de Mathématiques. Post-doctoral Fellow, Brown University, Institute for Computational and Experimental Research in Mathematics, Research programme Complex and Arithmetic Dynamics. Wissenschaftlicher Mitarbeiterin (Research Fellow), Institute of Mathematics, University of Münster, Germany, Research group of Prof. Urs Hartl European Post-Doctoral Institute Fellow. { Sept to July 2010: CRM (Centre de Recerca Matemàtica), Barcelona, Spain, for the Research Programme Arithmetic Geometry. { Aug to Oct. 2010: IHÉS (Institut des Hautes Études Scientifiques), Bures-sur- Yvette, France. { Nov to Aug. 2011: MPIM (Max Planck Institut für Mathematik), Bonn, Germany Lavoisier Post-Doctoral Fellow, University of Saarland, Saarbrücken, Germany, Host: Ernst-Ulrich Gekeler ATER (Instructor), University Paris 6, Paris, France ATER (Instructor), University Paris 7, Paris, France Monitorat (Teaching Assistant), University Paris 7, Paris, France Allocation de recherche (Graduate Research Fellow), University Paris 7, Paris, France. 2003/Nov Education Doctorat (Ph.D.) in Mathematics, University Paris 7, Institut de Mathématiques de Jussieu, Paris, France. Thèse de doctorat spécialité mathématiques. Summa cum laude. Title: Torsion rationnelle des modules de Drinfeld. Advisor: Loïc Merel. Thesis jury: Sinnou David (Univ. Paris 6), Ernst-Ulrich Gekeler (Univ. des Saarlandes), Laurent Lafforgue (I.H.É.S.), Loïc Merel (Univ. Paris 7), Jean-François Mestre (Univ. Paris 7), Bjorn Poonen (M.I.T.) (referee), Marc Reversat (Univ. Toulouse 3) (referee). 2000/2003 Master in Mathematics, Universities of Nice & Paris 6, Nice & Paris, France. Diplôme d études approfondies, spécialité Méthodes algébriques : second part of master studies in France. Ranked 4th out of 37, Paris, Maîtrise de mathématiques pures : first part of master studies in France. Summa cum laude, Nice, Cécile Armana 1/6

2 2002 Teaching qualification, Universities Paris 11 & Nice, Orsay & Nice, France. Agrégation de mathématiques : national competitive examination for teaching qualification in Mathematics in high-schools and colleges. Ranked 99th out of Bachelor of Mathematics, University of Nice, Nice, France. Licence de mathématiques pures. Summa cum laude Classes préparatoires, Nice, France. Undergraduate studies preparing for French Grandes Écoles. Honors and Fellowships 2012 Post-doctoral Fellow at Brown University, Institute for Computational and Experimental Research in Mathematics. ICERM is a new NSF mathematical institute European Post-Doctoral Institute Fellowship, based at IHÉS. Two-year research grant awarded by a consortium of nine European research institutes. Only seven grants are awarded for Lavoisier Fellowship. Research postdoctoral grant from the French Ministry of Foreign and Europeans Affairs Summer Program in Taiwan Fellowship. Two-month grant for a predoctoral stay from the National Science Council of Taiwan. Fifteen grants awarded annually. published Research Interests Number Theory, Arithmetic Geometry Drinfeld modules, Drinfeld modular curves, elliptic curves, automorphic forms, modular forms, modular symbols, abelian varieties, L-functions Publications and Preprints Torsion des modules de Drinfeld de rang 2 et formes modulaires de Drinfeld C. R. Math. Acad. Sci. Paris 347 (2009), published Sur les symboles modulaires de Manin-Teitelbaum pour F q (T ) C. R. Math. Acad. Sci. Paris 347 (2009), published published Coefficients of Drinfeld modular forms and Hecke operators Journal of Number Theory 131 no.8 (2011), Torsion des modules de Drinfeld de rang 2 et formes modulaires de Drinfeld Algebra & Number Theory 6-6 (2012), Extended version of the C.R.Math. with proofs and improvements. submitted Sur les symboles modulaires de Manin Teitelbaum pour F q (T ), 27 pages, Extended version of the C.R.Math. with proofs and substantial improvements. Ph.D. Thesis Torsion rationnelle des modules de Drinfeld, 135 pages, (available on my webpage) Short Research Stays abroad 2009, 1 week Universität Duisburg-Essen, Department of Mathematics, Germany Invitation of Gebhard Böckle 2006, 4 weeks Georg-August-Universität, Mathematisches Institut, Göttingen, Germany Clay Mathematics Institute Summer school Arithmetic Geometry 2005, 7 weeks National Center for Theoretical Sciences, Hsinchu, Taiwan Host: Jing Yu Cécile Armana 2/6

3 Invited Talks Conferences 2012 Penn State Göttingen Number Theory Conference, Univ. Göttingen, Germany Explicit bases of modular symbols over function fields 2012 Conference Number theory and its applications, CIRM Luminy, France Explicit bases of modular symbols over function fields 2011 Conference Computations with Modular Forms 2011, Univ. Heidelberg, Germany On Manin s presentation for modular symbols over function fields 2011 Conference The Arithmetic of Function Fields and Related Topics, Dongguk University, Korea Coefficients and Hecke eigenvalues of Drinfeld modular forms 2010 Workshop and Advanced Course on Drinfeld Modules and L-functions, CRM, Spain Coefficients of Drinfeld modular forms and Hecke operators e Journées Arithmétiques, Saint-Étienne, France On generators of modular symbols over function fields 2006 Colloque Jeunes Chercheurs en théorie des nombres, Rennes, France Le quotient d enroulement pour la jacobienne de la courbe modulaire de Drinfeld X 0 (N) Seminars 2012 Penn State University, Algebra and Number Theory Seminar Explicit bases of modular symbols over function fields 2012 University of Caen, France, Number Theory Une base explicite de symboles modulaires sur les corps de fonctions 2012 University Lyon 1, France, Combinatorics and Number Theory Une base explicite de symboles modulaires sur les corps de fonctions 2011 Institute of Mathematics, Münster, Germany, Mittags On modular symbols for F q (T ) 2011 Max-Planck-Institut für Mathematik, Bonn, Number Theory lunch Modular symbols for F q (T ) and Manin s presentation 2011 Max-Planck-Institut für Mathematik, Bonn, Ober Coefficients of Drinfeld modular forms 2011 University of Franche-Comté, Besançon, France, Algebra and Number theory Symboles modulaires pour F q (T ) et présentation de Manin 2010 University College London, Number Theory Seminar Coefficients of Drinfeld modular forms and Hecke operators 2010 CRM, Spain, Arithmetic Geometry On the group of automorphisms of the Drinfeld modular curve X 0 (n) Torsion of rank-2 Drinfeld modules and Drinfeld modular forms 2009 University of Saint-Étienne, France, Arithmetic Coefficients de formes modulaires de Drinfeld et opérateurs de Hecke 2009 University of Caen, France, Number Theory Torsion des modules de Drinfeld de rang 2 et formes modulaires de Drinfeld Cécile Armana 3/6

4 2009 University of Saarland, Germany, Number Theory Hecke eigenvalues and coefficients of Drinfeld modular forms Rational torsion of rank-2 Drinfeld modules 2009 University Lyon 1/École Normale Supérieure Lyon, France, Arithmetic Torsion des modules de Drinfeld de rang University of Franche-Comté, Besançon, France, Algebra and Number theory Torsion rationnelle des modules de Drinfeld de rang Institut de Mathématiques de Toulouse, France, Number theory Torsion rationnelle des modules de Drinfeld de rang University of Duisburg-Essen, Germany, Algebra, Geometry and Number theory Rational torsion of rank-2 Drinfeld modules Drinfeld modular forms and action of Hecke on t-expansion 2008 E.T.H. Zürich, Switzerland, Number Theory Seminar Rational points on Drinfeld modular curves 2008 E.P.F.L. Lausanne, Switzerland, Algebra and number theory Points rationnels de courbes modulaires de Drinfeld 2007 University of Clermont-Ferrand, France, Number theory and analysis Borne uniforme sur la torsion des modules de Drinfeld 2007 University of Grenoble, France, Number theory Borne uniforme sur la torsion des modules de Drinfeld Workgroups 2012 ICERM, Brown University Two short talks of presentation 2010 CRM, Spain, workgroup on Anderson s t-motives Uniformization of t-modules (after Anderson) and Applications of t-motives (after Anderson) 2009 University of Saarlandes, Germany, student workgroup on the Geometric Langlands correspondence Hecke operators and Hecke algebra 2007 Institut de Mathématiques de Jussieu, Paris, France, student workgroup on Serre s modularity conjecture Correspondance de Langlands pour GL(2) et compatibilité local-global Student s 2010 CRM, Spain What is a Drinfeld module? 2009 Institut de Mathématiques de Jussieu, Paris, France, Number theory student Formes modulaires de Drinfeld, t-développement et opérateurs de Hecke 2007 Institut de Mathématiques de Jussieu, Paris, France, Séminaire des thésards Sommes de quatre carrés et formes modulaires 2007 Institut de Mathématiques de Bordeaux, Bordeaux, France, Graduate Colloquium Les formes modulaires, la cinquième opération de l arithmétique 2006 University of Nice, France, Graduate Colloquium Courbes elliptiques et modules de Drinfeld Cécile Armana 4/6

5 2006 Institut de Mathématiques de Jussieu, Paris, France, Number theory student La torsion rationnelle des courbes elliptiques sur les corps de nombres (d après Mazur, Kamienny, Merel) [two lectures] 2003 Institut de Mathématiques de Jussieu, Paris, France, Number theory student Introduction aux modules de Drinfeld [three lectures] Conferences and Workshops 2012 Penn State Göttingen Number Theory Conference, Univ. Göttingen, Germany 2012 ICERM, Brown University, Semester Complex and Arithmetic Dynamics. Organizers: R. Benedetto, L. DeMarco, M. Lyubich, J. Rivera-Letelier, J. Silverman, L. Szpiro, M. Zieve. Total: 4 months. Workshops: Complex and p-adic Dynamics, Global Arithmetic Dynamics, Moduli Spaces Associated to Dynamical Systems Conference Théorie des nombres et applications, CIRM Luminy, France Conference Computations with Modular Forms 2011, Univ. Heidelberg, Germany 2011 Conference The Arithmetic of Function Fields and Related Topics, Dongguk University, Korea 2011 Mathematische Arbeitstagung, MPIM Bonn, Germany 2011 XXII e rencontres arithmétiques de Caen: Arithmetic Geometry over Function Fields, Caen, France Workshop on the Arithmetic of Functions Fields, University College, London CRM, Spain, Research Programme Arithmetic Geometry. Organizers: F. Bars, L. Dieulefait, V. Rotger. Total: 9 weeks. { Advanced Courses: Shimura Varieties and L-functions, Algebraic Cycles, Modular Forms, and Rational Points on Elliptic Curves, Arithmetic Geometry for Function Fields of Positive Characteristic, Drinfeld Modules and L-functions { Workshops: Cycles and special values of L-series, Iwasawa Theory over Function Fields of Characteristic p > 0 { Thematic Days: The Geometric Langlands Correspondence III, Function Field Arithmetic I & II 2009 Conference t-motives: Hodge structures, transcendence and other motivic aspects, Banff International Research Station, Canada e Journées Arithmétiques, Saint-Étienne, France Workshop on Number Theory, Saarbrücken, Germany Workshop Arithmetic Geometry, Institut für Experimentelle Mathematik, Essen, Germany XIX e rencontres arithmétiques de Caen, Arithmetic of Function Fields in positive characteristic, Caen, France Summer school Arithmetic Geometry of the Clay Mathematics Institute, Göttingen, Germany Colloque Jeunes Chercheurs en Théorie des Nombres, Rennes, France Summer school Algebra and Number Theory, National Center for Theoretical Science, Taiwan XVI e rencontres arithmétiques de Caen, Arithmetic of curves over finite fields, Caen, France. Cécile Armana 5/6

6 2004 Worskhop Explicit Arithmetic Geometry, Institut Henri Poincaré, Paris, France Trimester Explicit methods in number theory, Institut Henri Poincaré, Paris, France Journées en l honneur de Jean Fresnel, Bordeaux, France Colloque Jeunes Chercheurs en Théorie des Nombres, Montpellier, France. Teaching Experience Instructor ( ATER ), Université Paris 6, Paris, France. { Calculus (undergraduate tutorial) 86 hrs. { Analysis & Algebra (training for the written examination of CAPES, the competitive examination for teaching qualification in mathematics, graduate level) 10 hrs Instructor ( ATER ), Université Paris 7, Paris, France. { Calculus & Linear Algebra (undergraduate course and tutorial) 39 hrs. { Algebra: Groups, Fields and Galois Theory (advanced undergraduate tutorial) 57 hrs Teaching assistant ( Monitorat ), Université Paris 7, Paris, France. { Symbolic Algebra with Maple (undergraduate course, tutorial and examination)64 hrs. { Calculus & Algebra (course, written and oral examinations for undergraduate students preparing entrance examinations for Grandes Écoles ) 64 hrs. { Algebra: Arithmetic & Groups (undergraduate tutorial) 64 hrs. Professional Service Scientific responsibilities Referee for: { Journal of Number Theory { Mathematics of Computation { Proceedings of the AMS 2009 Organizer of the Workshop on Number Theory, Saarbrücken, Germany. Two-day international conference for young number theorists 7 speakers, 15 participants Cofounder and coorganizer of the Séminaire des thésards, Institut de Mathématiques de Jussieu, Paris, France. Administrative responsibilities Member of the Bureau des Doctorants (Ph.D. students Office), Institut de Mathématiques de Jussieu, Paris, France. { In charge of managing computer facilities for the students { Elected representative of the students at the Conseil de Laboratoire (Management Committee) Miscellaneous Languages French Native language Spanish Good level English Fluently written, read and spoken German Beginner Technical Skills Mathematical softwares Maple, Magma, Sage Web HTML, CSS Cécile Armana 6/6