Dessin par Hélène
Michel Waldschmidt

Interview for the seminar Geometry, Arithmetic and Differential Equations of Periods (GADEPs), Rio de Janeiro, Friday, October 9, 2020. The video is available on You Tube.

AMS 2021 Bertrand Russell Prize.
    The prize honors research or service contributions of mathematicians or related professionals to promoting good in the world and recognizes the various ways that mathematics furthers human values.

Interview par le CIMPA le 9 décembre 2020 à Nice.

Running for GRAID Le CIMPA est une association reconnue d'utilisé publique, ce qui permet aux contribuables français de bénéficier d'une déduction fiscale pour leurs dons (voir le site du CIMPA). Un appel spécial est lancé pour le programme GRAID (Graduate Assistantships in Developing Countries) de l'Union Mathématique Internationale. Mes courses prévues en juillet et août 2021 font partie du programme Running for GRAID. Voir mon compte facebook et le site Run For Graid .

Michel Waldschmidt, Limourien mathématicien - Limours Magazine 165 Juin 2021 p.20.

Agenda

Archives from January 2009 till now.

Prochaînement - Coming soon

October 21-24, 2021, Kerala School of Mathematics (KSoM), Inde
    International Conference on Class Groups of Number Fields and Related Topics-2021 ICCGNFRT-2021
    A conference celebrating Michel Waldschmidt's 75th birth year honoring his contribution to Mathematics and Education

October 23, 2021, Lille
    Meeting of the Committee for the Developing Countries (CDC) of the European Mathematical Society (EMS)

November 8 - 20, 2021. Limbe (Cameroun)
    A course on number theory at the African Institute for Mathematical Sciences (AIMS).

December 2 - 17, 2021. Chennai (India)
    A course on Lidstone expansion at the The Institute of Mathematical Sciences (IMSc).

December 4-7, 2021, Aurangabad, Maharashtra, India
    Mahatma Gandhi Mission University. The 87th Annual Conference of the Indian Mathematical Society.
    The conference will be held in the virtual mode only.

Decembre 10-11, 2021, Dhaka (online)
    22nd International Mathematics Conference-2021 of the Bangladesh Mathematical Society.
    Mathematics for a better world.

March 23-29, 2022, Kurdistan, Irak
    March 23-26: University of Sulaimani, Sulaymaniyah. CIMPA West Asian Mathematical School: Topics in Commutative Algebra, Basic notions in algebraic geometry
    March 27-29: College of Science, Salahaddin University - Erbil Third International Conference of Mathematics (TICME2022).

April 17-23, 2022. Mathematisches Forschungsinsitut Oberwolfach (Germany)
    Workshop Diophantische Approximationen

May 16-21, 2022, Marina di San Gregorio, Patù (Lecce), Italy
    CDM 210 Leuca2022 - Celebrating Claude Levesque's, Damien Roy's and Michel Waldschmidt's birthdays.

May 23-25, 2022, Università di Pisa (Italy)
    La grandezza dei punti piccoli, Celebrating Francesco Amoroso's 60th birthday.

Dimanche 30 mai ou 5 juin 2022 (?), Ultra Trail Tour de Nancy, 46 km, 1420 D+.

12 - 24 juin 2022, Institut de Mathématiques et de Sciences Physiques (IMSP), Dangbo, Benin.
    École de recherche du CIMPA : Algèbre, arithmétique et applications. Cours: Approximation diophantienne.

June 27 - July 8, 2022. African Institute for Mathematical Sciences (AIMS), M'Bour, Senegal
    CIMPA Research School on cryptography, theoretical and computational aspects of number theory.
    Course: Elementary approach to elliptic curves.

2022: Nancy.
    32èmes Journées arithmétiques.

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

On transcendental entire functions with infinitely many derivatives taking integer values at two points. Southeast Asian Bulletin of Mathematics, Vol.45(3) (2021), 379-408.
    arXiv: 1912.00173 [math.NT].

On transcendental entire functions with infinitely many derivatives taking integer values at finitely many points.
    Moscow Journal of Combinatorics and Number Theory, 9-4 (2020), 371-388. DOI 10.2140/moscow.2020.9.371
    arXiv: 1912.00174 [math.NT].

Avec Etienne Fouvry,
    Sur la représentation des entiers par des formes cyclotomiques de grand degré. Bull. Soc. Math. France, 148 2 (2020), 253-282. DOI 10.24033/bsmf.2805.
    arXiv: 1909.01892 [math.NT].

With Etienne Fouvry and Claude Levesque,
    Representation of integers by cyclotomic binary forms. Acta Arithmetica, 184.1 (2018), 67 - 86. DOI 10.4064/aa171012-24-12.
    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.

Recent surveys - articles de synthèse récents

Le théorème des six exponentielles restreint à l'irrationalité. Revue de la filière mathématiques RMS, avril 2021, 131ème année, N.3, 2020-2021, 26-33.
    English translation: Six Exponentials Theorem - Irrationality. 9 pages. To appear in Resonance.

Integer-valued functions, Hurwitz functions and related topics: a survey. Number Theory. Proceedings of the Journées Arithmétiques, 2019, XXXI, held at Istanbul University. To appear (28 pages).
    arXiv:2002.01223 [math.NT]

Third kind elliptic integrals and transcendance (3 pages). Appendix to the paper Third kind elliptic integrals and 1-motives by Cristiana Bertolin. Journal of Pure and Applied Algebra, Volume 224, Issue 10, October 2020, 106396, 1-28. DOI 10.1016/j.jpaa.2020.106396
    arXiv:1905.07247 [math.NT]

Thue Diophantine equations - a survey.
    Class Groups of Number Fields and Related Topics, ed. Kalyan Chakraborty, Azizul Hoque and Prem Prakash Pandey, p. 25-41 . Springer Nature Singapore Pte Ltd., 2020.
    Proceedings of the International Conference ICCGNFRT-2017, HRI Allahabad, September 2017. DOI 10.1007/978-981-15-1514-9_3

With Razvan Barbulescu. Poster summarizing The abc conjecture and some of its consequences. Archives HAL-01626155 version 3.

Lectures - Courses - Conferences - Videos

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

Transcendental Number Theory: recent results and open problems.
        pdf file 5.7 Mo, 99p.
        update 2021

Schanuel's Conjecture: algebraic independence of transcendental numbers.
        pdf file 21.5 Mo, 68 p.
        update 2021

Irrationality and transcendence of values of special functions.
        pdf 11.2 Mo, 112p.
        update 2021

Online course CIMPA on Interpolation.
       pdf files: course 1, 1.6 Mo, 48 pages, course 2, 406 Ko, 49 pages, course 3, 934 Ko, 50 pages, course 4, 1.6 Mo, 65 pages.
       Link to the videos on You Tube (December 2020)
       Exercices Sheet 1CorrectionsSheet 2CorrectionsSheet 3CorrectionsSheet 4Corrections
        update 2021

Some variants of Seshadri's constant. slides pdf 14.4 Mo, 104p. Link to the video (October 12, 2020).
        update 2020

An introduction to the theory of finite fields (pdf: 82 pages).
        update 2020

Linear recurrence sequences.
    Part I, examples. Link to the video, September 21, 2020.
    Part II, the theory. Link to the video, September 28, 2020.
        update 2020

On the Brahmagupta-Fermat-Pell Equation.
        print pdf: 2.3 Mo, 86 p.
        The video (July 23, 2020) is available on You Tube.
        update 2020

The square root of 2, the Golden ratio and the Fibonacci sequence.     print pdf 4.5 Mo, 89p.
        The video (July 20, 2020) is available on YouTube
        update 2020

Srinivasa Ramanujan His life and his work.
        pdf slides, Link to a video (December 16, 2020). Link to another video on You Tube (Dec. 29, 2020).
        update 2020

Integer valued entire functions.     screen pdf 2.3 Mo, 171p.     print pdf 1.1 Mo, 17p.
       see also the Online course CIMPA on Interpolation. pdf file: course 4, 1.6 Mo, 65 pages. Link to the video on You Tube (December 15, 2020).
        update 2020

Lidstone series, generalisations and arithmetic applications.
        screen pdf 764 Ko, 131p.   print pdf 792 Ko, 15p.
       see also the Online course CIMPA on Interpolation. pdf files: course 2, 406 Ko, 49 pages, course 3, 934 Ko, 50 pages, Link to the videos on You Tube (Dec. 2020)
       update 2020

Two invariants related to two conjectures due to Nagata.
        slides pdf 14.4 Mo, 104p. Link to the video (October 12, 2020).
        update 2020

Representation of integers by cyclotomic binary forms. 43p., 3.6 Mo. Number Theory Web Seminar, Tuesday, May 12, 2020.
    Link to recording and slides
        update 2020

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.
        Video on YouTube of the first and third courses (October 2018).
        update 2018

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

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

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

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

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

En français

Le Podcast de la culture mathématique: Trajectoires #18: Nombres Transcendants (23 septembre 2019).

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.
        fichier pdf, version écran 2,2 Mo, 236 p.   fichier pdf, version à imprimer 1,1 Mo, 26 p.
        mise à jour 2008