Dessin par Hélène
Michel Waldschmidt
La page consacrée à Pham Minh Hoang se trouve sur ce site. / See the page on this web site dedicated to Pham Minh Hoang.

Agenda

Archives from January 2009 till now.

Prochaînes missions - Coming soon

18 - 29 mai 2015: Oujda (Maroc)
    École de recherche CIMPA-Oujda Théorie des Nombres et ses Applications. Cours: Équations diophantiennes et leurs applications.
        18 mai, Équations diophantiennes et leurs applications.     screen pdf: 16.3 Mo, 88 p.     print pdf: 16.3 Mo, 22 p.
        19 mai, Sur l’équation dite de Fermat-Pell         screen pdf: 1.1 Mo, 85 p.   print pdf: 3,3 Mo, 21 p.
        19 mai, Continued fractions (unpublished manuscript, 46 pages). Exercices (1 page).
        20 mai, Schmidt Subspace Theorem and S-unit equation (unpublished manuscript, 9 pages).
        21 mai, Effective transcendental methods for solving Diophantine equations.
           Références:
           Diophantine equations and transcendental methods (written by Noriko Hirata). (digital version - pdf file 610 Ko) in: Transcendental numbers and related topics, RIMS Kôkyûroku, Kyoto, 599 (1986), N°8, 82-94.
           Claude Levesque et Michel Waldschmidt, Some remarks on diophantine equations and diophantine approximation, 26 p. (pdf: 400 Ko). Vietnam Journal of Mathematics, 39:3 (2011) 343-368. arXiv:1312.7200 [math.NT].

June 16-25, India.
    June 16-20, 2015: Advanced Instructional Schools (AIS) Analytic Number Theory (2015), Kalinga Institute of Industrial Technology (KIIT), Bhubaneswar.
       June 18, 19, 20: Course on Transcendental numbers: introduction to some of the main methods and to some of the open problems.
       June 18, Transcendental Number Theory: recent results and open problems.     screen pdf 4.6 Mo, 90p.   print pdf 4.5 Mo, 23p.
    Centre for Fundamental Studies (CFS), School of Mathematical Sciences, National Institute of Science education and Research (NISER) Bhubaneswar.
       Some arithmetic problems raised by rabbits, cows and the Da Vinci Code. ppt 9.1 Mo, 89 p.   print pdf 7.1 Mo, 23 p.
       Cards, hats, coins and codes: an elementary introduction to error correcting codes. powerpoint file (161 p., 4.3 Mo)   pdf file (41 p., 5.5 Mo).
       Continued fractions :introduction and applications. pdf screen: 5,6 Mo, 79 p.     pdf print: 5,6 Mo, 20 p.

July 6-11, 2015, Debrecen (Hongrie)
    July 6-10, 2015: 29èmes Journées Arithmétiques JA 2015
    July 10-11, 2015: Symposium on the honour of the 75th birthday of Professor Kálmán Győry (Debrecen University Symposium).

July 13 - July 17, 2015: Aarhus, Denmark
    Conference "Diophantine Approximation and Related Topics".

August 31 - September 8, 2015, Ho Chi Minh City (Vietnam)
    Department of Computer Science at HCMC Ho Chi Minh City University of Science,
    SEAMS School Number Theory and Applications in Cryptography and Coding Theory. Course: Introduction to Coding Theory.

September 9-13, 2015, Beijing (China)
    Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Institute of Mathematics.
    Lecture on Continued fractions :introduction and applications. pdf screen: 5,6 Mo, 79 p.     pdf print: 5,6 Mo, 20 p.

September 14-20, 2015, Ulaanbaatar (Mongolia)
    School of Mathematic and Computer Science, National University of Mongolia. Org.: Bayarmagnai Gombodorj (NUM, Mongolia). Course on Lattice cryptography.

October 19 - November 6, 2015, Nepal

November 7-9, 2015. Myanmar.
    The Eighth International Conference on Science and Mathematics Education in Developing Countries (8th ICSMEDC), Yangon University.
    (website of the 7th ICSMEDC in Mandalay, 2014.)

November 17 - December 5, 2015, Lahore (Pakistan)
    Abdus Salam International Center for Mathematics (ASICM).

December 13-20, 2015, India
    The Institute of Mathematical Sciences (IMSc), Chennai.

January 7 - February 6, 2016. India
    January 7-29, The Institute of Mathematical Sciences (IMSc), Chennai.
       Indo-French Conference at IMSc, 11-24 Jan. 2016
    January 30 - February 6, Harish-Chandra Research Institute (HRI), Allahabad.

15 - 26 février 2016: Nouakchott (Mauritanie)
    Université des Sciences, de Technologie et de Médecine de Nouakchott École de recherche CIMPA-Mauritanie: Algorithmique en Théorie des Nombres et Cryptographie.
    Cours:
Arithmétique modulaire, fractions continues, attaques basées sur les fractions continues, corps finis.

April 8-9, 2016. ICTP (Trieste), Italy
    Annual meeting of the Committee for Developing Countries of EMS..

April 10-16, 2016. Oberwolfach.
    Diophantische Approximationen. Organisers Yann Bugeaud (Strasbourg), Philipp Habegger (Darmstadt), Umberto Zannier (Pisa).

May 9-27, 2016. Phnom Penh (Cambodge)
    Royal University of Phnom Penh (URPP - Université Royale de Phnom Penh).
        Master of Science in Mathematics, Course: Number theory with an introduction to cryptography.

June 13-17, 2016, Marina di San Gregorio, Patù (Lecce), Italy
    Leuca2016

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

With Claude Levesque,
    Familles d’équations de Thue associées à un sous-groupe de rang 1 d'unités totalement réelles d'un corps de nombres. CRM collection "Contemporary Mathematics", AMS, to appear.

With Claude Levesque,
    A family of Thue equations involving powers of units of the simplest cubic fields. (to appear in the Journal de théorie des nombres de Bordeaux) 27 p.
    Unpublished expanded version 31p.

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, Lecture Notes Series in Ramanujan Mathematical Society (to appear).

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

With K. Senthil Kumar and R. Thangadurai,
    Liouville numbers, Liouville sets and Liouville fields, Proceedings of the American Mathematical Society, 143 8 (2015), 3215-3229.
    arXiv:1312.7151 [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.
    arXiv:1312.7154 [math.NT].

With Claude Levesque,
    Solving effectively some families of Thue Diophantine equations. Moscow Journal of Combinatorics and Number Theory, 3 3-4 (2013), 118-144.
    arXiv:1312.7205 [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].

Recent surveys - articles de synthèse récents

Raconte moi … une période.. Gazette des Mathématiciens, Société Mathématique de France, No 143 Janvier 2015, 75-78. 5p.

On the abc conjecture and some of its consequences, Mathematics in 21st Century, 6th World Conference, Lahore, March 2013, (P. Cartier, A.D.R. Choudary, M. Waldschmidt Editors), Springer Proceedings in Mathematics & Statistics 98 (2015), 211-230.

Diophantine approximation with applications to dynamical systems.
    Proceedings of the International Conference on Pure and Applied Mathematics ICPAM–LAE 2013, South Pacific Journal of Pure and Applied Mathematics, vol. 1, No 2 (2014), 1-18.

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.

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

Continued fractions :introduction and applications. pdf screen: 5,6 Mo, 79 p.     pdf print: 5,6 Mo, 20 p.
        update 2015

An elementary introduction to error correcting codes. powerpoint file (161 p., 4.3 Mo)   pdf file (41 p., 5.5 Mo).
        update 2015

On Some recent results on Diophantine equations: a survey.     screen pdf: 16.3 Mo, 88 p.     print pdf: 16.3 Mo, 22 p.
        update 2014

Multiple zeta values     screen pdf: 2.3 Mo, 72 p.     print pdf: 2.3 Mo, 18 p.
        update 2014

On the abc conjecture and some of its consequences     screen pdf: 13,6 Mo, 89 p.     print pdf: 13,7 Mo, 23 p.
        update 2014

A survey on Multiple Zeta Values.     screen pdf: 2.4 Mo, 72 p.     print pdf: 2.4 Mo, 18 p.
        update 2014

Depliant EMS-CDC, Poster EMS-CDC, Beamer presentation EMS-CDC, Beamer presentation for printing
        "Mathematics in Emerging Nations: Achievements and Opportunities" (MENAO). August 2014, Seoul, (Republic of Korea).

Introduction à la cryptographie. fichier powerpoint, 3,4 Mo, 89 pages fichier pdf, 6.2 Mo, 23 pages.
        mise à jour 2014

La constante d'Euler est-elle un nombre rationnel, un nombre algébrique irrationnel ou bien un nombre transcendant? screen pdf: 4,7 Mo, 22 p.     print pdf: 4,7 Mo, 131 p.
        mise à jour 2014

Three algebras arising from Multiple Zeta Values.     screen pdf: 2.3 Mo, 70 p.     print pdf: 2.3 Mo, 18 p.
        update 2014

Schanuel's Conjecture: algebraic independence of transcendental numbers. screen pdf: 21.7 Mo, 68 p.     print pdf: 21.7 Mo, 17 p.
    Extended abstract: 10 p. Colloquium De Giorgi 2013 and 2014, Ed. U. Zannier; Edizioni della Normale 2015, 129--137.

A family of Thue equations involving powers of units of the simplest cubic fields.     screen pdf: 11.1 Mo, 73 p.     print pdf: 11.1 Mo, 11 p.
        update 2013

Diophantine approximation with applications to dynamical systems.     screen pdf: 1.2 Mo, 103 p.     print pdf: 1.2 Mo, 14 p.
        update 2013

On the Brahmagupta-Fermat-Pell Equation         screen pdf: 3.2 Mo, 188 p.   print pdf: 3.2 Mo, 21 p.
        update 2013

Transcendental Number Theory: recent results and open problems.     screen pdf 4.6 Mo, 90p.   print pdf 4.5 Mo, 23p.
        update 2013

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

Sur les équations diophantiennes: du vieux et du neuf.     screen pdf: 4.2 Mo, 91 p.     print pdf: 4.2 Mo, 13 p.
        mise à jour 2013

Diophantine equations, old and new.     screen pdf: 4.2 Mo, 92 p.     print pdf: 4.2 Mo, 13 p.
        update 2013

Solving families of Diophantine equations. extended abstract, 2p., 200 Ko
        update 2013