Dessin par Hélène
Michel Waldschmidt
A poem from Amir Aminzade Ghavifekr
    My love for maths is like an irrational number,
    in the sense that it goes on for all eternity.
    The degree of this love is infinite,
    going on as far as the eye can see.
    I have been devided by it’s algebraic ways,
    and left in tears of dispair.
    But subtract the hours I cried and multiply it by my dedication,
    and you will find it equals the incomprehensibleness of pi.
    Mathematics and I are like the numerator to the denominator,
    We need to be a pair, to make us a whole.
    Maths and I are coterminal,
    we will never be apart.
    And now I know that mathematics has found,
    the theorem to my heart.

EMS Newsletter March 2019

Interview by Ulf Persson published in the Newsletter of the European Mathematical Society, March 2019, issue 111, p. 23-26.

Agenda

Archives from January 2009 till now.

Prochaînement - Coming soon

Vendredi 15 novembre 2019. Institut de Mathématiques de Bordeaux.
    Journée en l'honneur de Jacques Martinet.

December 6 - 8, 2019, Dhaka (Bangladesh)
    The 21th international Mathematics Conference 2019.
    Lecture on Interpolation of analytic functions and arithmetic applications.

December 9 - 15, 2019: Bhubaneswar, Orissa, India. National Institute of Science Education and Research (NISER).

February 17 - 28, 2020. Yogyakarta, Indonesia
    CIMPA research school Group Actions in Arithmetic and Geometry. Course : "Finite fields and number theory" with Francesco Pappalardi.

March 13, 2020. UNESCO, Paris.
    The International Day of Mathematics (IDM).

16 - 27 mars 2020: Arba Minch (Ethiopia)
    Arba Minch University. A course on commutative algebra. CIMPA Courses.

April 3 - 4, 2020. ICTP (Trieste), Italy.
    Annual meeting of the Committee for the Developing Countries (CDC) of the European Mathematical Society (EMS)

April 19 - 25, 2020. Mathematisches Forschungsinstitute Oberwolfach.
    Diophantische Approximationen

May 6 - 8 2020, Roma.
    The sixth mini symposium of the Roman Number Theory Association.

25 - 29 mai 2020. Nancy
    SMF 2020 Troisième congrès national de la SMF.

October 5 - 13 2020, Labé, République de Guinée.
    Universitaire de Labé. . A course on commutative algebra.

December 7 - 11, 2020, Port Moresby, Papua New Guinea.
    The Third International Conference on Pure and Applied Mathematics ICPAM3, Pacific Adventist University. "Mathematical Contributions to the building of a Healthy, Wealthy, Wise, Smart, Fair and Happy Nation."

Research papers (to appear) - Articles de recherche (à paraître)

Avec Etienne Fouvry,
    Sur la représentation des entiers par des formes cyclotomiques de grand degré. 25 p. À paraître au Bulletin de la Société Mathématique de France.

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

With Etienne Fouvry and Claude Levesque,
    Representation of integers by cyclotomic binary forms. Acta Arithmetica, 184.1 (2018), 67 - 86. Online First March 2018.
    arXiv: 712.09019 [math.NT].
    Online Encyclopedia of Integer Sequences:
       OEIS A296095 Integers represented by cyclotomic binary forms.
       OEIS A293654 Integers not represented by cyclotomic binary forms.
       OEIS A299214 Number of representations of integers by cyclotomic binary forms.
       OEIS A301429 Decimal expansion of an analog of the Landau-Ramanujan constant for Loeschian numbers.
       OEIS A301430 Decimal expansion of an analog of the Landau-Ramanujan constant for Loeschian numbers which are sums of two squares.

With Claude Levesque,
    Families of Thue equations associated with a rank one subgroup of the unit group of a number field. Mathematika, 63 3 (2017) 1060-1080. available online.
    arXiv: 1701.01230 [math.NT].

With Damien Roy,
    Parametric geometry of numbers in function fields. Mathematika, 63 3 (2017) 1114-1135. available online.
    arXiv: 1704.00291 [math.NT].

Recent surveys - articles de synthèse récents

Third kind elliptic integrals and transcendance (3 pages). Appendix to the paper Third kind elliptic integrals and 1-motives by Cristiana Bertolin. arXiv:1905.07247 [math.NT]

Thue Diophantine equations - a survey.
    Proceedings of the International Conference on Class Groups of Number Fields and Related Topics (ICCGNFRT-2017), HRI Allahabad, September 2017, 14 p. Springer Verlag.

With Razvan Barbulescu. Poster summarizing The abc conjecture and some of its consequences. Archives HAL.

Irrationality and transcendence of values of special functions, R. P. Agarwal Memorial Lecture, Proceedings of the XVth Annual Conference of Society for Special Functions and their Applications (ICSFA-2016) New Delhi, India, September 09-11, 2016. Editors: A. K. Agarwal, M. A. Pathan, Subuhi Khan, Ch. Wali Mohd., September 9, 2016).

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.

In English

Integer valued entire functions.     screen pdf 2.3 Mo, 171p.     print pdf 1.1 Mo, 17p.
        update 2019

Lidstone series, generalisations and arithmetic applications.
        screen pdf 764 Ko, 131p.   print pdf 792 Ko, 15p.
        update 2019

Introduction to Galois Theory
        screen pdf: 4,2 Mo, 85 p.   print pdf: 1,1 Mo, 15 p.
        update 2019

Some of the most famous open problems in number theory.
        screen pdf: 5.8 Mo, 214 p.   print pdf: 1.8 Mo, 28 p.
        update 2019

Continued fractions: introduction and applications.
        screen pdf: 3.7 Mo, 147 p.   print pdf: 1.1 Mo, 20 p.
        update 2019
  See also
        Continued fractions (unpublished manuscript, 46 pages).

The unity of mathematics - examples from transcendental number theory.
        pdf file, screen version: 4.1 Mo, 147p.   pdf file, print version: 1.4 Mo, 20p.
        update 2018

Representation of integers by cyclotomic binary forms.
        pdf file, screen version: 2.4 Mo, 92 p.   pdf file, print version: 721 Ko, 12 p.
        update 2018
  See also
        On the Landau--Ramanujan constant pdf file, screen version: 3.4 Mo, 130 p.   pdf file, print version: 1.1 Mo, 18 p.
        update 2018

An elementary introduction to error correcting codes.
        powerpoint file (161 p., 4.3 Mo)   pdf file (44 p., 5.5 Mo).
        update 2018

An elementary introduction to cryptography.
        powerpoint file (95 p., 3.6 Mo)   pdf file (24 p., 6.2 Mo).
        update 2018

Linear recurrence sequences: an introduction. screen pdf 5.1 Mo, 139p.   print pdf 2.7 Mo, 23p.
        update 2018

Linear recurrence sequences, exponential polynomials and Diophantine approximation.
        screen pdf 2.2 Mo, 150p.   print pdf 1.2 Mo, 20p.
        update 2017

Is the Euler constant a rational number, an algebraic irrational number or else a transcendental number?
        pdf file, screen version: 3.4 Mo, 126 p.   pdf file, print version: 1.3 Mo, 22 p.
        update 2017

Transcendental Number Theory: recent results and open problems.
        screen pdf 3.3 Mo, 193p.   print pdf 1.7 Mo, 24p.
        update 2017

On the Brahmagupta-Fermat-Pell Equation.
        screen pdf: 3.3 Mo, 196 p.   print pdf: 3.3 Mo, 21 p.
        update 2017

On the abc conjecture and some of its consequences.
        screen pdf: 5.5 Mo, 195 p.   print pdf: 2.1 Mo, 30 p.
        update 2017

Irrationality and transcendence of values of special functions.
        screen pdf 10.6 Mo, 185p.   print pdf 9.3 Mo, 25p.
        update 2016

Two invariants related to two conjectures due to Nagata.
        screen pdf 10.4 Mo, 170p.   print pdf 10.4 Mo, 26p.
        update 2019

On the Markoff equation x^2+y^2+z^2=3xyz;
        screen pdf 4.6 Mo, 171 p.   print pdf 4.8 Mo, 22 p.
        update 2016

Diophantine equations and Diophantine approximations
        screen pdf: 3.2 Mo, 161 p.   print pdf: 1.9 Mo, 23 p.
        update 2016
  See also
Families of Diophantine equations.
        screen pdf 1.9 Mo, 99p.   print pdf 1.3 Mo, 15p.
        update 2016

Diophantine approximation with applications to dynamical systems.
        screen pdf: 1.2 Mo, 119 p.   print pdf: 1.2 Mo, 14 p.
        update 2016

Multiple zeta values.
        screen pdf: 2.3 Mo, 151 p.   print pdf: 2.3 Mo, 19 p.
        update 2014

Schanuel's Conjecture: algebraic independence of transcendental numbers.
        screen pdf: 21.7 Mo, 127 p.   print pdf: 21.7 Mo, 17 p.
        update 2014

Diophantine equations and Diophantine approximation
        screen pdf: 1.3 Mo, 96 p.   print pdf: 1.3 Mo, 16 p.
        update 2012

En français

Les débuts de la théorie des nombres transcendants.
        fichier pdf, version écran: 4,2 Mo, 52 pages     fichier pdf, version à imprimer: 3,2 Mo, 11 pages
        mise à jour 2019

Introduction à la cryptographie.
        fichier powerpoint, 3,4 Mo, 89 pages   fichier pdf, version à imprimer, 6,2 Mo, 23 pages.
        mise à jour 2018

introduction aux codes correcteurs d’erreurs
        fichier ppt, 4 Mo, 164 p.   fichier pdf, version à imprimer: 5,9 Mo, 41p.
        mise à jour 2018

L'équation de Brahmagupta - Pell - Fermat.
        fichier pdf, version écran: 3,3 Mo, 193 p.   fichier pdf, version à imprimer: 3,3 Mo, 21 p.
        mise à jour 2017

Sur l’équation de Markoff x^2+y^2+z^2=3xyz.
        fichier pdf, version écran 4,9 Mo, 221 p.   fichier pdf, version à imprimer 5 Mo, 27 p.
        mise à jour 2016

La conjecture abc
        fichier pdf, version écran 19,4 Mo, 152 p.   fichier pdf, version à imprimer 19,6 Mo, 25 p.
        mise à jour 2016

Fractions continues, introduction et applications
        fichier pdf, version écran: 3,7 Mo, 145 p.     fichier pdf, version à imprimer: 3,7 Mo, 20 p.
        mise à jour 2016

Problèmes ouverts en théorie des nombres.
        fichier pdf, version écran: 4,4 Mo, 203 p.     fichier pdf, version à imprimer: 4,4 Mo, 27 p.
        mise à jour 2015

La constante d'Euler est-elle un nombre rationnel, un nombre algébrique irrationnel ou bien un nombre transcendant?
        fichier pdf, version écran: 4,5 Mo, 128 p.     fichier pdf, version à imprimer: 4,5 Mo, 22 p.
        mise à jour 2014

Nombres transcendants: résultats récents et problèmes ouverts
        fichier pdf, version écran 4,4 Mo, 142 p.   fichier pdf, version à imprimer 3,9 Mo, 15 p.
        mise à jour 2009

Valeurs zêta multiples, d'Euler à nos jours.
        pdf file, screen version 2,2 Mo, 236 p.   pdf file, print version 1,1 Mo, 26 p.
        mise à jour 2008