Dessin par Hélène
Michel Waldschmidt

Srinivasa Ramanujan

The published papers of Srinivasa Ramanujan as well as the unpublished manuscripts, are now available via the Internet from December 21, 2013 .

Pham Minh Hoang

Pham Minh Hoang, mathématicien ayant la double nationalité française et vietnamienne, arrêté à Hô Chi Minh-Ville le 13 août 2010, a été condamné le 10 août 2011 à trois ans de prison. Lors de son procès en appel le 29 novembre 2011, sa condamnation a été ramenée à 17 mois de prison et trois ans d'assignation à résidence. Il a quitté la prison le 13 janvier 2012. Il est l'un des 41 écrivains de 19 pays qui ont reçu le Prix Hellman/Hammett 2012 pour leur engagement au service de la libre expression et pour leur courage face à la persécution. Il a depuis créé le Virtual Laboratory of Applied Mathematics.

Pham Minh Hoang, a French and Vietnamese mathematician, has been arrested at Hô Chi Minh-City on August 13, 2010. He was sentenced 3 years of prison on August 10, 2011. On November 29, 2011, the sentence was reduced to 17 months of jail and 3 years of house arrest. He came out of jail on January 13, 2012. Pham Minh Hoang is among the 41 writers from 19 countries who received the 2012 Hellman/Hammett grants for their commitment to free expression and their courage in the face of persecution. Recently he initiated the Virtual Laboratory of Applied Mathematics.


Archives from January 2009 till now.

Prochaînes missions - Coming soon

April 24 - 27, 2014, Berlin (Germany)
    Annual meeting of the Committee for Developing Countries, European Mathematical Society.

May 4 - 10, 2014, Ennio De Giorgi Mathematical Research Center, Pisa (Italy).
    May 6: Colloquium De Giorgi. Talk on Schanuel's Conjecture: algebraic independence of transcendental numbers

Vendredi 23 Mai, Paris: Assemblée Générale du CIMPA

May 26 - June 20, 2014. Ottawa (Canada)
    Université d'Ottawa, Département de mathématiques et de statistique
    May 27, 2014, 73rd Algebra Day – University of Ottawa. Lecture on Three algebras arising from Multiple Zeta Values.

7 - 25 juillet 2014, Bénin, Togo, Ghana, Côte d’Ivoire
    7 - 19 juillet 2014, The Institute of Mathematics and Physical Sciences (IMSP), Dangbo (Bénin)
      Algebraic Number Theory and Applications, CIMPA-ICTP-BENIN Ecole de recherche organisée en commun avec l’ICTP
      Course: Introduction to the theory of finite fields with application to error correcting codes  
    21 juillet: Université de Lomé, Togo. La constante d'Euler est-elle un nombre rationnel, un nombre algébrique irrationnel ou bien un nombre transcendant?
    22-23 juillet: African Institute of Mathematical Studies, Accra, Ghana.
    24-25 juillet: Université Félix Houphouët-Boigny, Cocody, Abidjan, Côte d’Ivoire. Journée Arithmétique. Exposé: Introduction à la cryptographie.

August 7-26, 2014, Seoul, (Republic of Korea), COEX Convention & Exhibition Center.
    Tuesday, August 12, 2014 "Mathematics in Emerging Nations: Achievements and Opportunities" (MENAO).
    August 13 - 21, International Congress of Mathematicians ICM 2014.

15 - 19 Septembre 2014, CIRM, Luminy (France)
    Approximation diophantienne et transcendance (Yann Bugeaud, Michel Laurent, Umberto Zannier)

September 30 - October 4, 2014, Delhi, Bengaluru (India).

October 15 - November 16: Nepal.
    November 3 - 16, 2014, Tribhuvan University, Kirtipur, Kathmandu (Nepal)
    Aspects of Dynamical Systems CIMPA-NEPAL research school

November 24-28, 2014, Goroka (Papua New Guinea).
    ICPAM-GOROKA 2014; International Conference on Pure and Applied Mathematics.
    "Contemporary Development in the Mathematical Sciences as Tools for Scientific and Technological Tsransformation of Papua New Guinea"

December 1-23, 2014, The Institute of Mathematical Sciences (IMSc), Chennai, Inde.

Research paper (submitted) - Article de recherche (soumis)

With Claude Levesque,
    Solving simultaneously Thue equations in the almost totally imaginary case. Proceedings of the International Meeting on Number Theory HRI 2011, in honor of R. Balasubramanian, HBA, India (submitted).

Research paper (to appear) - Article de recherche (à paraître)

With K. Senthil Kumar and R. Thangadurai,
    Liouville numbers, Liouville sets and Liouville fields, Proceedings of the American Mathematical Society, to appear.
    arXiv:1312.7151 [math.NT].

Research papers (recently published) - Articles de recherche (viennent de paraître)

With Claude Levesque,
    Solving effectively some families of Thue Diophantine equations. Moscow Journal of Combinatorics and Number Theory, 3 2 (2013), 237-263.
    arXiv:1312.7205 [math.NT].

With K. Senthil Kumar and R. Thangadurai,
    Liouville Numbers and Schanuel's Conjecture, Archiv der Mathematik, January 2014, Volume 102, Issue 1, pp 59-70. DOI 10.1007/s00013-013-0606-0
    arXiv:1312.7154 [math.NT].

With Shigeru Kanemitsu,
    Matrices of finite abelian groups, Finite Fourier Transform and codes. 17 p. (pdf 261 Ko).
    "Arithmetic in Shangrila"—Proc. the 6th China-Japan Sem. Number Theory held in Shanghai Jiao Tong University, August 15-17, 2011, ed. S. Kanemitsu, H.-Z. Li, and J.-Y. Liu. World Scientific Publishing Co, Series on Number Theory and its application, vol. 8 (2013), 90-106. arXiv:1301.1248 [math.NT].

With Claude Levesque,
    Families of cubic Thue equations with effective bounds for the solutions. J.M. Borwein et al. (eds.), Number Theory and Related Fields: In Memory of Alf van der Poorten, Springer Proceedings in Mathematics & Statistics 43 (2013) 229-243.
    arXiv:1312.7204 [math.NT].

With Claude Levesque,
    Approximation of an algebraic number by products of rational numbers and units, 11 p. (pdf: 300 Ko).
    Journal of the Australian Mathematical Society, Special Issue dedicated to Alf van der Poorten, volume 93, issue 1-2, pp. 121-131. Published online: 07 February 2013.
    arXiv:1312.7203 [math.NT].

With Jorge Jiménez Urroz and Florian Luca,
    Gaps in binary expansions of some arithmetic functions, and the irrationality of the Euler constant, 8 p. (pdf: 300 Ko).
    Journal of Prime Research in Mathematics, GCU, Lahore, Pakistan, Vol. 8 (2012), 28-35.

Avec Claude Levesque,
    Familles d'équations de Thue-Mahler n'ayant que des solutions triviales, 18 p. (pdf: 700 Ko).
    Acta Arithmetica, 155 (2012), 117-138.
    arXiv:1312.7202 [math.NT].

Recent surveys - articles de synthèse récents

Diophantine approximation with applications to dynamical systems. 18p.
    Text submitted for publication in the Proceedings of the International Conference on Pure and Applied Mathematics ICPAM–LAE 2013, Southeast Asian Journal of Mathematics.

Le théorème de Green-Tao et autres secrets des nombres premiers.
    Mathématiques, L'explosion continue, FSMP (Fondation Sciences Mathématiques de Paris), SFDS (Société Française de Statistiques), SMAI (Société de Mathématiques Appliquées et Industrielles), SMF (Société Mathématique de France), 2013, pages 31-35.

From highly composite numbers to transcendental number theory, 13 p. (pdf: 295 Ko)
    Proceedings of the International Conference The Legacy of Srinivasa Ramanujan, University of Delhi, Dec. 2012.
    Lecture Notes Series of the Ramanujan Mathematical Society, India, No 20 (2013), 387–397.

Questions de transcendance: grandes conjectures, petits progrès (19 pages - épreuves 23/05/2012).
    Journées annuelles de la SMF: Transcendance et irrationalité, 15-16 juin 2012. Société Mathématique de France 2012, 49-67.

Recent advances in Diophantine approximation (pdf: 532 Ko)
    Number theory, Analysis and Geometry: In memory of Serge Lang, edited by Dorian Goldfeld, Jay Jorgenson, Peter Jones, Dinakar Ramakrishnan, Kenneth Ribet and John Tate. Springer Science+Business Media, LLC 2012, 659-704.
    Number Theory Math arXiv:0908.3973
    Archive Ouverte hal-00407199

Lectures - Courses - Conferences

Les fichiers pdf ou ppt de mes exposés récents ou plus anciens sont téléchargeables.
You can download the pdf or ppt files of my recent or not so recent lectures and talks.

Recent additions - Nouveautés

On Schanuel's Conjecture. screen pdf: 21 Mo, 146 p.     print pdf: 21 Mo, 21 p.
    Lecture given for the Conference on Analytic Theory of Automorphic forms at MathScience Institute (IMSc), Chennai (India) on December 13, 2013.

An elementary introduction to error correcting codes. powerpoint file (161 p., 4.3 Mo)   pdf file (41 p., 5.6 Mo).
    Lecture given for the ICPAM-LAE SATELLITE CONFERENCE, Faculty of Natural and Physical Science, University of PNG (UPNG), Port Moresby (Papua New Guinea) on November 29, 2013.

Diophantine approximation with applications to dynamical systems.     screen pdf: 1.2 Mo, 103 p.     print pdf: 1.2 Mo, 14 p.
    Lecture given at the International Conference on Pure and Applied Mathematics ICPAM–LAE 2013, PNG University of Technology, LAE (Papua New Guinea) on November 28, 2013.

On the abc conjecture and some of its consequences     screen pdf: 8.2 Mo, 138 p.     print pdf: 8.3 Mo, 21 p.
    Lectures given at the The Sixth International Conference on Science and Mathematics Education in Developing Countries, Mandalay University (The Republic of the Union of Myanmar, Birmanie) on November 2, 2013 and in India at Manipur University on November 14 and at Tezpur University on November 15, 2013.

Lecture On the Brahmagupta-Fermat-Pell Equation         screen pdf: 3.2 Mo, 188 p.   print pdf: 3.2 Mo, 21 p.
    Lecture given at the 14th International Pure Mathematics Conference 2013 (14 IPMC 2013), Preston University, Islamabad (Pakistan), on August 25, 2013.

Course on Finite Fields (77 p., 612 Ko).
    CIMPA-ICTP-UNESCO-MESR-MINECO-PHILIPPINES research school: Algebraic Curves over Finite Fields and Applications , Institute of Mathematics of the University of the Phiippines, July 22 - August 2, 2013.

Transcendental Number Theory: recent results and open problems.     screen pdf 4.6 Mo, 90p.   print pdf 4.5 Mo, 23p.
    Coding and number theory seminar, Institute of Mathematics of the University of the Phiippines, July 15, 2013.

Sur les équations diophantiennes: du vieux et du neuf.     screen pdf: 4.2 Mo, 91 p.     print pdf: 4.2 Mo, 13 p.
    Département de mathématiques et de statistique, Université Laval, Québec (Canada), 14 juin 2013.

Cards, hats, coins and codes. powerpoint file (161 p., 4.3 Mo)   pdf file (41 p., 5.6 Mo). July 18, 2013.

Lecture on "Diophantine equations, old and new".     screen pdf: 4.2 Mo, 92 p.     print pdf: 4.2 Mo, 13 p.
    EMS/DMF Joint Weekend, Danish Mathematical Society (DMF)'s 140 years anniversary, European Mathematical Society (EMS), Aarhus (Denmark), April 5, 2013.

Solving families of Diophantine equations. extended abstract, 2p., 200 Ko
    Lecture given, in the Abdus Salam School of Mathematical Sciences (ASSMS) Lahore (Pakistan), in the Workshop on Number Theory and Related Topics, organized by the National University of Computer & Emerging Sciences [NUCES], Peshawar on March 11, 2013.

Introduction à la cryptographie. fichier powerpoint, 3,4 Mo, 90 pages fichier pdf, 3,4 Mo, 23 pages.
    Promenade mathématique, Lycée Frédéric Mistral, Fresnes, Mardi 15 janvier 2013.

From highly composite numbers to transcendental number theory.     screen pdf: 9.7 Mo, 90 p.     print pdf: 9.7 Mo, 25 p.
    Conference The Legacy of Srinivasa Ramanujan - An International Conference, New Delhi (India) December 18, 2012.

Questions de transcendance: grandes conjectures, petits progrès     screen pdf: 4,9 Mo, 95 p.     print pdf: 19,5 Mo, 32 p.
    Journées annuelles de la SMF: Transcendance et irrationalité.
    Institut Henri Poincaré, Paris, Vendredi 15 juin 2012.

Nombres Transcendants.     screen pdf: 4,7 Mo, 92 p.     print pdf: 4,6 Mo, 23 p.
    Université de Picardie-Jules Verne, Laboratoire Amiénois de Mathématique Fondamentale et Appliquée. Colloquium Mathématique d'Amiens, Mercredi 16 mai 2012.

A course on multizeta values, The Institute of Mathematical Sciences, Special year in number theory at IMSc, Chennai (India), April 2011.   (51 pages, updated September 29, 2012).

Diophantine approximation and Diophantine equations: an introduction         screen pdf: 1.3 Mo, 94 p.     print pdf: 1.3 Mo, 16 p.
    Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok (Thailand) (February 13, 2012)

Transcendental Number Theory: recent results and open problems.     screen pdf 4.6 Mo, 90p.   print pdf 4.5 Mo, 23p.
    Centre of Excellence in Mathematics (CEM) and Department of Mathematics, Mahidol University, Bangkok, Thailand (February 3, 2012).