Assegnista di ricerca, ERC Diophantine Problems, Scuola Normale Superiore di Pisa.

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1 Scuola Normale Superiore di Pisa Piazza die Cavalieri, Pisa, Italia. Born on September 17th, 1973 in San José, Costa Rica. Current position Assegnista di ricerca, ERC Diophantine Problems, Scuola Normale Superiore di Pisa. Employment and Grants Lehrauftrag at the University of Basle Ambizione Fund of the Swiss National Science Foundation, University of Basle Marie Curie IEF Fellowship at the ETH 1 of Zurich and the University Roma 2 Tor Vergata (oct avril 2009) Assistant position at the EPF 1, Lausanne (oct sept. 2006) Assistant position at the ETH, Zurich (january-september 2005). Post-doc GTEM 2 at the Università degli Studi di Roma 2 (oct-dec 2004) ATER (Research and teaching position) at the Université Paris VI Allocation de recherche (Research fellowship) at the Université Paris VI. 1 Swiss Federal Institute of Technology, at Zurich or at Lausanne 2 European Network Galois Theory and Explicit Methods Education 2003 PhD. in Mathematics (with distinction). - PhD. dissertation : Transcendental methods and Diophantine geometry Defended the 1 st December Advisors : Marc Hindry and Michel Waldschmidt Others members of the committee : Daniel Bertrand (president), Yuri Bilu (referee), François Gramain (referee), Joseph Oesterlé (examinator) Diplôme d Études Approfondies (Post-graduate diploma) in Algebraic methods. A course on transcendental numbers (M. Waldschmidt) (second semester) A course on algebraic independence (Yu. Nesterenko) (second semester) Modular forms and transcendence (D. Bertrand) (minicourse, second semester) Diophantine geometry (M. Hindry) (first semester) - Dissertation of D.E.A. : Baker s method and applications Master s degree (Licence and Maîtrise) of Pures mathematics. - First Dissertation of maîtrise : Margulis proof of the Oppenheim s conjecture. - Second Dissertation of maîtrise : Analytic reduction to one rotation of the analytic diffeomorphisms of the circle. Page 1 of 5

2 Research interests Number theory Diophantine geometry Transcendental number theory Height theory Counting points on varieties Integral points on algebraic varieties Algebraic values of transcendental functions Abelian varieties Publications [8] Elliptic logarithms, diophantine approximation and the Birch and Swinnerton-Dyer conjecture, joint with Vincent Bosser. Bull. Soc. Math. Brazil, New Series (2014) ; Vol. 45, Issue 1, pp DOI /s x. [7] A quantitative Chevalley-Weil theorem for curves, joint with Yuri Bilu and Marco Strambi. Monatsh. Math. 171 (1) :1-32, DOI /s [6] Upper bound for the height of S-integral points on elliptic curves, joint with Vincent Bosser. Ramanujan J.(2013), Vol. 32, Issue 1, pp DOI /s [5] Sur l effectivité du théorème de Siegel et la conjecture abc, J. Number Theory 124 (2007), [4] Valeurs algébriques de fonctions transcendantes, Int. Math. Res. Not. (2006), Art. ID 16834, 31 pages. [3] Siegel s theorem and the abc conjecture, Riv. Mat. Univ. Parma (7) 3 (2004) , Proceedings of the Secondo Convegno Italiano di Teoria dei Numeri, nov [2] Méthodes de transcendance et géométrie diophantienne, PhD. dissertation at the University of Paris VI, defended the 1 st December 2003 in Paris (100 pages). [1] Sur le nombre de points algébriques où une fonction analytique transcendante prend des valeurs algébriques, C. R. Acad. Sci. Paris, Ser. I 334 (2002) Work in progress [9] On some conjectures on the Mordell-Weil and the Tate-Shavarevich groups of an abelian variety, 22 pages, work in progress. Pre-print of first version : Talks in conferences Diophantine problems, Besançon, October Heights, Tossa de Mar, UAB, Barcelona, Avril 2011 (Invited speaker). First Annual Meeting GTEM, Leiden, Septembre 2007 (Invited speaker). Journées Arithmétiques, Edimburgh, Juillet 2007 (Contributed talk). Journée Approximation diophantienne, Grenoble, Juin 2007 (Invited speaker). Diophantine geometry, Scuola Normale Superiore di Pisa, Juillet Secondo Convegno Italiano di Teoria dei Numeri, Parme, Novembre Colloque Jeunes Chercheurs en Théorie des Nombres, Besançon, March Page 2 of 5

3 Teaching experience Bachelor lecture at the University of Basle, 2014 : Group theory (48 h). Master lectures at the University of Basle, : Galois theory (24 h). Some topics on modular functions, elliptic functions and transcendence (42 h). Lecture at the University of Costa Rica, July 2007 : Introduction to Diophantine geometry (5 hours). As assistantat the EPF of Lausanne, : Exercises for 3 rd year undergrte. students : Introduction to number theory (24 h). Ex. for 3-4 th year undergrte. students : Algebra for digital communications (12 h). Exercises for 1 st year undergraduate students : Linear algebra (24 heures). As assistant at the ETH Zurich, : Exercises for 1 st year undergraduate students : Linear algebra and Statistics (13 h). As ATER, at the University Pierre et Marie Curie, Paris VI : Exercises in D.E.U.G. SCM 11, 1 st year : Linear algebra (96 hours) Exercises in D.E.U.G. SCM 11, 1 st year : Analysis (96 hours). As vacataire at the University Denis Diderot, Paris VII : et Pré-stage of D.A.E.U. (32 hours) Courses and exercises of D.A.E.U. (27 hours). As vacataire, at the University Pierre et Marie Curie, Paris VI : Tutorials in D.E.U.G. M.I.A.S. 1 st year. * EPFL 2006 Dissertation of a 3 rd year undergraduate student : Rational points of elliptic curves. Talks in seminars On the Mordell-Weil and Tate-Shafarevich groups of an abelian variety : IRMA Strasbourg (April 2009) ; Autour de la géométrie d Arakelov Institut Math. Jussieu (June 2007) ; Problèmes diophantiens Institut Math. Jussieu (May 2007). Linear forms in elliptic logarithms, the BSD-conjecture and the abc-conjecture : Basle (March 2009) ; EPF Lausanne (November 2007) ; Roma 2 (April 2007) ; Bordeaux Séminaire théorie des nombres jeunes (April 2007) ; Caen (March 2007) ; Problèmes diophantiens Institut Math. Jussieu (March 2007). On the abc-conjecture and Siegel s theorem : Humbolt Universität Berlin (May 2006) ; Besançon (February 2006) ; EPFL Lausanne (March 2005) ; UAB Barcelone (March 2005) ; Roma 2 (November 2004) ; Basle (June 2004) ; ETH, Zürich (April 2004) ; Nancy (April 2004) ; Lille (April 2004) ; Caen (April 2004) ; IRMA, Strasbourg (March 2004) ; Problèmes diophantiens, Institut Math. Jussieu (October 2003). Algebraic values of transcendental functions : Bordeaux (April 2006) ; Basle (February 2005) ; Saint-Étienne (January 2005). Upper bound for the number of algebraic values of transcendental functions : IRMA Strasbourg (March 2002) ; Séminaire Jeune d Arithmétique et géometrie Orsay (December 2001) ; Problèmes diophantiens Institut Math. Jussieu (November 2001) ; Université du Costa Rica (Decembrer 2000). On Baker s method and applications : University of Costa Rica (December 1999). Page 3 of 5

4 Participation in conferences September 2014 Diophantine Analysis and Transcendence, CIRM, Luminy. July 2014 Integral points, Algebraic dynamics, Unlikely intersections, ERC, Cetraro, Italy. March 2014 On the conjectures of Lang and Vojta, CIRM, Luminy. October 2013 Diophantine problems, Besançon. September 2013 Thue 150, Bordeaux. July 2013 o-minimality and Diophantine geometry, Manchester. March 2013 Number Theory Days, EPF Lausanne. June-July 2012 Autour des conjectures de Zilber-Pink, IMJ, Paris. Mai 2011 La conjecture de Zilber-Pink, CIRM Luminy. Mai 2011 Number Theory Days, EPF Lausanne. Avril 2011 Heights in Diophantine and Arakelov Geometry, UB, Tossa de Mar, Barcelona. Avril 2010 Number Theory Days, ETH Zurich. April 2009 Counting points in varieties, Lorentz Center, Leiden. March 2009 Rencontre différentio-diophantienne, IHP, Paris. February 2009 Rencontre du projet ANR Diophante, Fribourg. May 2008 Variétés rationnellement connexes, IRMA, Strasbourg. October 2007 Développements récents en approximation diophantienne, CIRM, Luminy. September 2007 Summer school in Arithmetic Geometry, CIME, Cetraro, Italy. September 2007 First Annual Meeting GTEM, Leiden (Invited speaker). July 2007 Journées Arithmétiques, Edimburgh (Contributed talk). June 2007 Journée Approximation diophantienne, Institut Fourrier, Grenoble (Invited speaker). April 2007 Number Theory Day, EPF Lausanne. Septembre 2006 Colloque sur l Approximation diophantienne et nombres transcendants, CIRM, Luminy. Juillet 2006 Arithmetic Geometry, Mathematisches Institut Georg August, Goettingen 1. Mars 2006 Number Theory Days, ETH Zurich. Juillet 2005 Diophantine geometry, Scuola Normale Superiore di Pisa, Italie 2. March 2005 Number Theory Days, EPF Lausanne. April 2004 Colloque sur l Hyperbolicité et l Arithmétique, CIRM, Luminy. November 2003 Secondo Convegno Italiano di Teoria dei Numeri, Parma, Italy. Jully 2002 Analytic number theory, CIME, Cetraro, Italie. March 2002 Colloque Jeunes Chercheurs en Théorie des Nombres, Besançon. September 2001 Higher Dimensional Varieties and Rational Points, Rényi Institute of Mathematics, Budapest. May 2001 Arithmétique des corps et des revêtements, Université de Saint-Étienne. November 2000 Géométrie algébrique et applications aux codes correcteurs d erreurs et à la cryptographie, CIMPA, Cuba. Jully 2000 Diophantine Approximation, CIME, Cetraro, Italy. March 2000 Journées revêtements, Université de Saint-Étienne. 1 Research period funded by the Clay Mathematics Institut. 2 Research period funded by the Centro di Matematica Ennio de Giorgi. Page 4 of 5

5 Seminars and workshops Co-organization of a workshop on Modular forms (based on the book of F. Diamond and J. Shurman) with the doctorants and post-doctorants, EPF Lausanne, Organization of the seminar of the PhD. students in Number Theory of the Institut de Mathématiques de Jussieu, Paris, from November 2001 until July Some talks : On the Chevalley-Weil theorem. The abc-conjecture and Siegel s theorem : the case of P 1 \ {0, 1, }. Introduction to the height theory ; finiteness results on Diophantine geometry. abc implies Mordell, following Elkies. Lectures attended during the doctorate (after the D.E.A.) Specialized (post-graduate) courses of the D.E.A. on Algebraic Methods, Paris VI-VII : On the Birch and Swinnerton-Dyer conjecture (J. Oesterlé) Arithmetic methods for alg groups and differential equations Diophantine geometry (S. David) Languages (in decreasing order) : Spanish, French, Italian, English, German. (D. Bertrand) Page 5 of 5