Dessin par Hélène
Michel Waldschmidt

GRAID Graduate Assistantships in Developing Countries.
    La Commission pour les Pays en Développement de l'Union Mathématique Internationale a créé le programme GRAID (Graduate Assistantships in Developing Countries). Son objectif est de permettre à des étudiants de pays défavorisés de poursuivre leurs études et de préparer un master ou une thèse en mathématiques dans leur pays, grâce à un soutien financier minimal. Les dons sont à adresser au CIMPA (Centre International de Mathématiques Pures et Appliquées), 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 Donation à GRAID (Graduate Research Assistantships In Developing countries)
    Run for GRAID contribue au financement. Voir mon compte facebook, les sites Run For Graid et Angel Pineda Running for GRAID.
    Concert Solidaire à Limours, La Scène, samedi 20 novembre 2021 à 20h30. Au profit de trois associations dont Run For Graid.
    Voir aussi la vidéo de présentation.

Bertrand Russell Prize of the AMS
    Next Prize: January 2024 Nomination Period: 1 February - 31 May, 2023.

Agenda

Archives from January 2009 till now.

Prochaînement - Coming soon

Mai - juin 2023, UPEC (Université Paris Est Créteil Val de Marne site de Créteil), Laboratoire d’Analyse et de Mathématiques Appliquées (LAMA)
    projet GéoParADi (géométrie paramétrique et approximation diophantienne) Damien Roy, cinq cours : Géométrie paramétrique des nombres et applications
        - mercredi 17 Mai : une séance de 10h à 12h en P2 P12 ;
        - vendredi 26 Mai : deux séances de 10h30 à 12h30 puis de 14h30 à 16h30 en P1 018 ;
        - vendredi 2 Juin : deux séances de 10h30 à 12h30 puis de 14h30 à 16h30 en P2 P12.

June 5 - 23, 2023: Taiwan, Vietnam.
    June 7 - 11, 2023: National Tsing Hua University NTHU, Department of Mathematics, Tsing Hua. June 9: lecture on Sets of linear forms of maximal complexity.
    June 12 - 22, 2023: Thu Duc (Ho Chi Minh, Vietnam). SEAMS School on Number Theory, Elliptic Curves and Isogeny-based Cryptography. The Industrial University of Ho Chi Minh City Course on Finite Fields

3 - 7 juillet 2023: Nancy.
    32èmes Journées arithmétiques.

July 10 - 24, 2023: Yogyakarta (Indonesia) Online.
    Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Gadjah Mada (UGM).
    Summer school 2023 Number theory and cryptography. A Satellite Event of The 9th SEAMS-UGM 2023 International Conference on Mathematics and Its Applications.
    July 17 - 18, 2023, Course: Introduction to analytic number theory.

July 22 - August 7, 2023: Colombia.
    July 24 - August 4, 2023: Universidad del Cauca, Popayán, CIMPA School: Isogenies of Elliptic Curves and their Application to Cryptography. Course on Finite fields.

September 13 - 15, 2023: Kanjirappally (Kerala, Inde) Online
    Amal Jyothi College of Engineering. International Conference on Theoretical and Applied Computing ICTAC.

June 3 - 14, 2024 Thu Duc (Ho Chi Minh, Vietnam). CIMPA School on Applied Number Theory. Course on Algebraic coding theory.

June 24 - July 5, 2024, Urgench State University, Urgench, Uzbekistan
    CIMPA school on Lattices, Heights and Diophantine Approximation.

Du 30 juin au 4 juillet 2025: 33 èmes Journées Arithmétiques au Luxembourg.

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

With Etienne Fouvry,
    Number of integers represented by families of binary forms (I). Acta Arithmetica, to appear.
    arXiv: 2206.03733 [math.NT].

The Four Exponentials Problem and the Schanuel Conjecture. Mathematics Going Forward. Collected Mathematical Brushstrokes. Springer Lecture Notes in Mathematics LNM, volume 2313. This title has not yet been released. It is published on 28 Mars 2023.

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

Lidstone Interpolation (III). Several variables. Transactions of the American Mathematical Society, Ser. B, 10, 201-219 (2023).
    DOI 10.1090/btran/135. (Zbl07652584).

Lidstone Interpolation (II). Two variables. Asian-European Journal of Mathematics, Volume No. 16, Issue No. 04, Article No. 2350072, Year 2023.
    DOI: 10.1142/S1793557123500729.

With Michael Kaminski and Igor E. Shparlinski,
    On sets of linear forms of maximal complexity Computational Complexity, 32, 1 (2023).
    arXiv: 2110.04657 [cs.CC]. (MR4517288) (Zbl07638239).

On a paper by Nikolaev. The Ramanujan Journal, volume 57, pages 1517–1518 (2022). Published online: 12 February 2022. (MR4394019) (Zbl1482.11097).

Lidstone Interpolation (I). One variable. Proceedings of the 87th Annual Conference of the Indian Mathematical Society, December 2021. The Mathematics Student, Volume 91 (Nos. 1-2), 2022, 79-95.
    arXiv: 2303.04514 [math.CV].     HAL: 04025050

On entire functions of several variables with derivatives of even order taking integer values.
    Journal of Ramanujan Society of Mathematics and Mathematical Sciences (JRSMAMS), Vol. 9, No. 1, December 2021, 95-104.
    arXiv: 2112.02529 [math.CV]. (MR4400338) (Zbl1492.32002)

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]. (MR4281640) (Zbl1488.30174)

On transcendental entire functions with infinitely many derivatives taking integer values at several 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] (Zbl1451.30059) (MR4170703)

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]. (Zbl1455.11066) (MR4124501)

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.
    HAL 04025073.
    English translation: Six Exponentials Theorem - Irrationality. Resonance, vol. 27, No.4, 599-606 (2022). View only version - Sharedit

Integer-valued functions, Hurwitz functions and related topics: A survey. Number Theory. Proceedings of the Journées Arithmétiques, 2019, XXXI, held at Istanbul University. Edited by Kağan Kurşungöz and Ayberk Zeytin, De Gruyter Proceedings in Mathematics, De Gruyter 2022, pp. 61-82.
    arXiv:2002.01223 [math.NT] HAL: 04025063 (Zbl1486.30082)

Third kind elliptic integrals and transcendence (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] (MR4093081)

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 (Zbl11034) (MR4292541)

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

On the Markoff equation x^2+y^2+z^2=3xyz;
        update 2023

The square root of 2, the Golden ratio and the Fibonacci sequence.
        update 2023
        Videos on YouTube : July 20, 2020 and November 19, 2022.

On the degree of hypersurfaces with given singularities.
        update 2023
        Link to the video Some variants of Seshadri's constant (October 12, 2020).

Euler constant
        update 2023

On the abc conjecture.
        update 2023

An Introduction to elliptic functions.
    Exercises.
        update 2022

Families of Diophantine equations.
        update 2022

On the Brahmagupta-Fermat-Pell Equation.
        update 2022
        The video (July 23, 2020) is available on You Tube.

Transcendental Number Theory: recent results and open problems.
        update 2022

Lidstone interpolation Four courses at The Institute of Mathematical Sciences (IMSc).
          Lecture 1: Friday, December 10 2021 15:30 - 16:45  link to the video
          Lecture 2: Saturday, December 11 2021 15:30 - 16:45  link to the video
          Lecture 3: Monday, December 13 2021 11:30 - 12:45  link to the video
          Lecture 4: Tuesday, December 14 2021 15:30 - 16:45  link to the video
          Slides on Lidstone interpolation -   update 2021.

Indo-French Cooperation in Mathematics. History of Indo-French Scientific Partnership.
        update 2021

Schanuel's Conjecture: algebraic independence of transcendental numbers.
        update 2021

Irrationality and transcendence of values of special functions.
        update 2021

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

An introduction to the theory of finite fields (88 p.)
        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

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

Integer valued entire functions.
       see also the Online course CIMPA on Interpolation. course 4. Link to the video on You Tube (December 15, 2020).
        update 2020

Lidstone series, generalisations and arithmetic applications.
       see also the Online course CIMPA on Interpolation. course 2. course 3. Link to the videos on You Tube (Dec. 2020)
       update 2020

Two invariants related to two conjectures due to Nagata. Link to the video (October 12, 2020).
        update 2020

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

Introduction to Galois Theory
        update 2019

Some of the most famous open problems in number theory.
        update 2019

Continued fractions: introduction and applications.
        update 2019
  See also
        Continued fractions (unpublished manuscript, 46 pages).

The unity of mathematics - examples from transcendental number theory.
        Video on YouTube of the first and third courses (October 2018).
        update 2018

On the Landau-Ramanujan constant
        update 2018

An elementary introduction to error correcting codes.
        powerpoint file
        update 2018

An elementary introduction to cryptography.
        powerpoint file  
        update 2018

Diophantine equations and Diophantine approximations
        update 2016
  See also
Families of Diophantine equations.
        update 2016

Diophantine approximation with applications to dynamical systems.
        update 2016

Multiple zeta values.
        update 2014

Diophantine equations and Diophantine approximation
        update 2012

En français

Géométrie paramétrique des nombres dans les corps de fonctions.
        mise à jour 2013

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

Les débuts de la théorie des nombres transcendants.
        mise à jour 2019

Introduction à la cryptographie.
        fichier powerpoint,
        mise à jour 2018

introduction aux codes correcteurs d’erreurs
        fichier ppt
        mise à jour 2018

L'équation de Brahmagupta - Pell - Fermat.
        mise à jour 2017

Sur l’équation de Markoff x^2+y^2+z^2=3xyz.
        mise à jour 2016

La conjecture abc
        mise à jour 2016

Fractions continues, introduction et applications
        mise à jour 2016

Problèmes ouverts en théorie des nombres.
        mise à jour 2015

La constante d'Euler est-elle un nombre rationnel, un nombre algébrique irrationnel ou bien un nombre transcendant?
        mise à jour 2014

Nombres transcendants: résultats récents et problèmes ouverts
        mise à jour 2009

Valeurs zêta multiples, d'Euler à nos jours.
        mise à jour 2008