English - Page de Cécile Armana

Cécile Armana
Équipe Algèbre et Théorie des Nombres
Laboratoire de Mathématiques, UMR CNRS 6623
Université de Franche-Comté, 16 route de Gray, 25030 Besançon Cedex, France
Phone: +33 3 81 66 63 35
E-mail: [email protected]
http://armana.perso.math.cnrs.fr
Personal
Born in Nice, France. French citizenship.
Positions
Sept. 2012–...
Maître de conférences (Assistant Professor with tenure), University of
Franche-Comté, Besançon, France, Laboratoire de Mathématiques.
Jan.–May 2012
Post-doctoral Fellow, Brown University, Institute for Computational and Experimental Research in Mathematics, Research programme Complex and Arithmetic Dynamics.
Sept.–Dec. 2011
May–Aug. 2012
Wissenschaftlicher Mitarbeiterin (Research Fellow), Institute of Mathematics, University of Münster, Germany, Research group of Prof. Urs Hartl.
2009–2011
European Post-Doctoral Institute Fellow.
{ Sept. 2009 to July 2010: CRM (Centre de Recerca Matemàtica), Barcelona, Spain,
for the Research Programme Arithmetic Geometry.
{ Aug. 2010 to Oct. 2010: IHÉS (Institut des Hautes Études Scientifiques), Bures-surYvette, France.
{ Nov. 2010 to Aug. 2011: MPIM (Max Planck Institut für Mathematik), Bonn,
Germany.
2008–2009
Lavoisier Post-Doctoral Fellow, University of Saarland, Saarbrücken, Germany, Host: Ernst-Ulrich Gekeler.
2007–2008
ATER (Instructor), University Paris 6, Paris, France.
ATER (Instructor), University Paris 7, Paris, France.
Monitorat (Teaching Assistant), University Paris 7, Paris, France.
2006–2007
2003–2006
2003–2006
Allocation de recherche (Graduate Research Fellow), University Paris 7,
Paris, France.
Education
2003/Nov. 2008
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, 2003.
“Maîtrise de mathématiques pures”: first part of master studies in France. Summa cum
laude, Nice, 2000.
Cécile Armana
1/6
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 320.
1999
Bachelor of Mathematics, University of Nice, Nice, France.
“Licence de mathématiques pures”. Summa cum laude.
1996–1998
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.
2009–2011
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 2009–2011.
2008–2009
Lavoisier Fellowship.
Research postdoctoral grant from the French Ministry of Foreign and Europeans Affairs.
2005
“Summer Program in Taiwan” Fellowship.
Two-month grant for a predoctoral stay from the National Science Council of Taiwan.
Fifteen grants awarded annually.
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
published
Torsion des modules de Drinfeld de rang 2 et formes modulaires de Drinfeld
C. R. Math. Acad. Sci. Paris 347 (2009), 705–708.
published
Sur les symboles modulaires de Manin-Teitelbaum pour Fq (T )
C. R. Math. Acad. Sci. Paris 347 (2009), 845–848.
published
Coefficients of Drinfeld modular forms and Hecke operators
Journal of Number Theory 131 no.8 (2011), 1435–1460.
published
Torsion des modules de Drinfeld de rang 2 et formes modulaires de Drinfeld
Algebra & Number Theory 6-6 (2012), 1239–1288. Extended version of the
C.R.Math. with proofs and improvements.
submitted
Sur les symboles modulaires de Manin–Teitelbaum pour Fq (T ), 27 pages, 2010.
Extended version of the C.R.Math. with proofs and substantial improvements.
Ph.D. Thesis
Torsion rationnelle des modules de Drinfeld, 135 pages, 2008.
(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
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
2009
26e 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 X0 (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 seminar
Une base explicite de symboles modulaires sur les corps de fonctions
2012
University Lyon 1, France, Combinatorics and Number Theory seminar
Une base explicite de symboles modulaires sur les corps de fonctions
2011
Institute of Mathematics, Münster, Germany, Mittagsseminar
On modular symbols for Fq (T )
2011
Max-Planck-Institut für Mathematik, Bonn, Number Theory lunch seminar
Modular symbols for Fq (T ) and Manin’s presentation
2011
Max-Planck-Institut für Mathematik, Bonn, Oberseminar
Coefficients of Drinfeld modular forms
2011
University of Franche-Comté, Besançon, France, Algebra and Number theory seminar
Symboles modulaires pour Fq (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 seminar
On the group of automorphisms of the Drinfeld modular curve X0 (n)
Torsion of rank-2 Drinfeld modules and Drinfeld modular forms
2009
University of Saint-Étienne, France, Arithmetic seminar
Coefficients de formes modulaires de Drinfeld et opérateurs de Hecke
2009
University of Caen, France, Number Theory seminar
Torsion des modules de Drinfeld de rang 2 et formes modulaires de Drinfeld
Cécile Armana
3/6
2009
University of Saarland, Germany, Number Theory seminar
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 seminar
Torsion des modules de Drinfeld de rang 2
2009
University of Franche-Comté, Besançon, France, Algebra and Number theory seminar
Torsion rationnelle des modules de Drinfeld de rang 2
2009
Institut de Mathématiques de Toulouse, France, Number theory seminar
Torsion rationnelle des modules de Drinfeld de rang 2
2009
University of Duisburg-Essen, Germany, Algebra, Geometry and Number theory
seminar
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 seminar
Points rationnels de courbes modulaires de Drinfeld
2007
University of Clermont-Ferrand, France, Number theory and analysis seminar
Borne uniforme sur la torsion des modules de Drinfeld
2007
University of Grenoble, France, Number theory seminar
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 seminars
2010
CRM, Spain
What is a Drinfeld module?
2009
Institut de Mathématiques de Jussieu, Paris, France, Number theory student
seminar
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
2006
Institut de Mathématiques de Jussieu, Paris, France, Number theory student
seminar
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
seminar
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.
2012
Conference Théorie des nombres et applications, CIRM Luminy, France.
Conference Computations with Modular Forms 2011, Univ. Heidelberg, Germany
2011
2011
Conference The Arithmetic of Function Fields and Related Topics, Dongguk University, Korea
2011
Mathematische Arbeitstagung, MPIM Bonn, Germany
2011
XXIIe rencontres arithmétiques de Caen: Arithmetic Geometry over Function
Fields, Caen, France.
2011
Workshop on the Arithmetic of Functions Fields, University College, London.
2009–2010
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.
2009
26e Journées Arithmétiques, Saint-Étienne, France.
2009
Workshop on Number Theory, Saarbrücken, Germany.
2009
Workshop “Arithmetic Geometry”, Institut für Experimentelle Mathematik, Essen, Germany.
2008
XIXe rencontres arithmétiques de Caen, Arithmetic of Function Fields in positive
characteristic, Caen, France.
2006
Summer school “Arithmetic Geometry” of the Clay Mathematics Institute, Göttingen, Germany.
2006
Colloque Jeunes Chercheurs en Théorie des Nombres, Rennes, France.
2005
Summer school “Algebra and Number Theory”, National Center for Theoretical
Science, Taiwan.
2005
XVIe rencontres arithmétiques de Caen, Arithmetic of curves over finite fields,
Caen, France.
Cécile Armana
5/6
2004
Worskhop “Explicit Arithmetic Geometry”, Institut Henri Poincaré, Paris, France.
2004
Trimester “Explicit methods in number theory”, Institut Henri Poincaré, Paris,
France.
2004
Journées en l’honneur de Jean Fresnel, Bordeaux, France.
Colloque Jeunes Chercheurs en Théorie des Nombres, Montpellier, France.
2004
Teaching Experience
2007–2008
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.
2006–2007
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.
2003–2006
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
2010-...
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.
2005–2007
Cofounder and coorganizer of the Séminaire des thésards, Institut de Mathématiques de Jussieu, Paris, France.
Administrative responsibilities
2004-2008
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
Cécile Armana
Maple, Magma, Sage
Web
HTML, CSS
6/6