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)

Graduate Assistantships in Developing Countries (GRAID) Supporting Mathematics Graduate Students in the Countries that Need it Most. By Jose Maria Balmaceda, C. Herbert Clemens, Ingrid Daubechies, Angel R. Pineda, Galina Rusu, and Michel Waldschmidt. Notices of the American Mathematical Society, 70 n°8 September 2023, 1281-1284

IMU CDC established in 2017 the Graduate Research Assistantships in Developing Countries (GRAID) Program.
The GRAID program provides modest support for emerging research groups, working in a developing country listed in Priority 1 or 2 of the IMU Definition of Developing Countries, to fund their most talented students to study full-time as graduate research assistants. Supported students must pursue a Master or PhD graduate degree in mathematics, thereby fostering the growth of a mathematics community.
The students will receive a monthly stipend to study full-time and pursue a Master or PhD graduate degree in mathematics. Additionally, the program supports them by establishing their networks with an international mathematician.
Funding for the graduate research assistantships is provided by voluntary donations from mathematicians or mathematical institutions worldwide.

IMU News 133: September 2025
News from the Commission for Developing Countries (CDC)
   Grants for institutions
   • Volunteer Lecturer Program
         next deadlines:
         🔔 October 15, 2025 (23:59 CET) for courses to be held between February 1, 2026 and February 1, 2027
         🔔 January 15, 2026 (23:59 CET) for courses to be held between May, 2026 and May 1, 2027
         🔔 April 1, 2026 (23:59 CET) for courses to be held between August 1, 2026 and August 1, 2027
   Grants for conferences organizers
   • Conference Support Program
         next deadlines:
         🔔 January 15th, 2026 for conferences starting after May 15th, 2026 (Decisions will be made by March 15th, 2026)
         🔔 April 15th, 2026 for conferences starting after August 15th, 2026 (Decisions will be made by June 15th, 2026)
   Grants for research visits
   • IMU-Simons Research Fellowship Program for Developing Countries
         next deadlines:
         🔔 January 15th, 2026 for research visits starting between June 1st, 2026 and June 1st, 2027 (Decisions will be made no earlier than March 15th, 2026)
         🔔 April 15th, 2026 for research visits starting between August 15th, 2026 and August 15th, 2027 (Decisions will be made no earlier than June 15th, 2026)
• Library Assistance Scheme (no fixed deadline)

Agenda

Archives from September 2004 till now.

Prochaînement - Coming soon

October 4 - 18, 2025, India.
October 6 - 10, 2025, SRM University AP, India. Conference ICCGNFRT-2025.
Lecture on On multicyclotomic polynomials and binary forms.
October 13 - 17, 2025, Indian Statistical Institute (ISI) Delhi, Second International Conference on Diophantine Equations, Polynomials & Related Areas (ICDEPRA-2025).
Lecture On families of fewnomial binary forms.

October 24 - November 1, 2025, Mathematical Research Center, Shandong University, Jinan, Chine.
October 26-27, two-day workshop: Number theory and its applications.
Lecture on The Table Maker Dilemma and Diophantine Approximation of Transcendental Numbers.
October 28, Guest lecture: Introduction to elliptic functions.

Lundi 10 – vendredi 14 Novembre 2025, CIRM (Luminy).
Conférence Approximation diophantienne et transcendance.

Mardi 25 - mercredi 26 novembre 2025, Villeurbanne.
Journées diophantiennes.

January 7 - 21, 2026: India.
January 7-11, Institute of Mathematical Sciences IMSc , Chennai.
January 12 - 16, 2026, Savitribai Phule Pune University (SPPU) and the Indian Institute of Science Education and Research (IISER), Pune, India.
First Indo-European Conference in Mathematics jointly organized by the European Mathematical Society and The (Indian) Mathematics Consortium.
Symposium Diophantine Methods.
January 17 - 20, Indian Institute of Science Education and Research (IISER), Tirupati.

Research papers (submitted) - Articles de recherche (soumis)

With Etienne Fouvry,
Corrigendum à l'article: Sur la représentation des entiers par les formes cyclotomiques de grand degré. Bull. Soc. Math. France 148 (2020), no. 2, 253--282.

Schanuel property for elliptic and quasi--elliptic functions. 26 p. arXiv:2504.14041 [math.NT] HAL 05051871.

With Cristiana Bertolin
Variations on Schanuel's Conjecture for elliptic and quasi--elliptic functions I: the split case. 20 p. arXiv:2504.14048 [math.NT] HAL 05051874.

With Etienne Fouvry,
Number of integers represented by families of binary forms (III): fewnomials. 44 p. arXiv:2509.08335 [math.NT] HAL 05247823.

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

With Etienne Fouvry,
Number of integers represented by families of binary forms (II): binomial forms. Acta Arithmetica, 214 (2024), 271-287. Online First, April 8, 2024.
arXiv:2306.02462 [math.NT] (MR4772287)

With Etienne Fouvry,
Number of integers represented by families of binary forms (I). Acta Arithmetica, 209 (2023), 219-267.
DOI: 10.4064/aa220606-16-2.
arXiv: 2206.03733 [math.NT] (Zbl07768665) (MR4665259)

The Four Exponentials Problem and the Schanuel Conjecture. Mathematics Going Forward. Collected Mathematical Brushstrokes. Springer Lecture Notes in Mathematics LNM, volume 2313, 579 - 592. Published on March 28, 2023.

Lidstone Interpolation (III). Several variables. Transactions of the American Mathematical Society, Ser. B, 10, 201-219 (2023).
DOI 10.1090/btran/135. (Zbl07652584). (MR4544638).

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. (MR4560594). (MR4544638).

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).

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

Lattices.
Three courses, six exercises with their solutions and some references for the
CIMPA School: Arithmetic in Action: Number Theory and its Applications to Cryptography and Coding Theory, Universitas Gadjah Mada (UGM), Indonesia, July 2025.
update 2025

Representation of integers by families of binary forms.
update 2025

On the Brahmagupta-Fermat-Pell Equation.
update 2024
The video (July 23, 2020) is available on You Tube.

An introduction to the theory of finite fields (98 p.)
update 2024

On the Markoff equation x^2+y^2+z^2=3xyz;
update 2024

Two invariants related to two conjectures of Nagata.
update 2024
Link to the video Some variants of Seshadri's constant (October 12, 2020).

Circulant determinants and Clifford algebras.
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.

Euler constant
update 2023

On the abc conjecture.
update 2023

Interpolation problems.
update 2023

Introduction to analytic number theory.
update 2023

Some of the most famous open problems in number theory.
update 2023

An Introduction to elliptic functions.
Exercises.
update 2022

Families of Diophantine equations.
update 2022

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 1, Corrections. Sheet 2, Corrections. Sheet 3, Corrections. Sheet 4, Corrections.
update 2021