Henri Poincaré,
Science et méthode, 1908.
Le savant n’étudie pas la nature parce que cela est utile ; il l’étudie parce qu’il y prend plaisir et il y prend plaisir parce qu’elle est belle. Si la nature n’était pas belle, elle ne vaudrait pas la peine d’être connue, la vie ne vaudrait pas la peine d’être vécue. Je ne parle pas ici, bien entendu, de cette beauté qui frappe les sens, de la beauté des qualités et des apparences ; non que j’en fasse fi, loin de là, mais elle n’a rien à faire avec la science ; je veux parler de cette beauté plus intime qui vient de l’ordre harmonieux des parties, et qu'une intelligence pure peut saisir...
La beauté intellectuelle se suffit à elle-même, et c'est pour elle, plus peut-être que pour le bien futur de l'humanité, que le savant se condamne à de longs et pénibles travaux.
Dr APJ Abdul Kalam
A SITE FOR INSPIRATION AND NATION BUILDING,
It can be done
Public Lecture during the 97th Indian Science Congress, Thiruvananthapuram, - 4 January 2010.
Beautiful connectivity has been established between science and society...
Research is very vital, particularly, basic science which will result in the latest technology required for meeting Global Competitiveness...
It is essential to focus and concentrate on basic scientific research in our country, if we need to find a solution for the challenges that we face in the society. Science is borderless, hence we need to make use of it and see how we can re-orient our research missions with the basic research inputs.
Archives from January 2009 till now.
February 8-12, 2010: Allahabad, India
Harish-Chandra Research Institute (HRI)
February 9 at 3:45 PM - Lecture on History of
Irrationality and transcendence (I)
February 12 at 12:00 noon - Lecture on History of
Irrationality and transcendence (II).
(see my lecture in November 2009 for the Number Theory Days in KKU;
Faculty of Science, Khonkaen University
screen pdf: 4,4 Mo, 221 p.
print pdf: 3,5 Mo, 20 p. )
February 12 at 4:00 PM : HRI Colloquium Math and Phys Number Theory Challenges of 21st Century.
screen pdf: 2.4 Mo, 177 p.
print pdf: 1.7 Mo, 21 p.
February 13-24, 2010: Lahore, Pakistan
Abdu Salam School of Mathematical Sciences (ASSMS)
February 25-27, 2010: Kathmandu, Nepal
Central Department of Mathematics, Tribhuvan University TU, Kirtipur, Kathmandu.
March 8-14, 2010: Pisa, Italy
Centro De Giorgi:
Italy-India conference on Diophantine and Analytic Number Theory
Mercredi 31 mars 2010: 14 heures à l'Amphithéâtre Darboux, Institut Henri Poincaré (Paris)
April 10, 2010: Budapest, Hungary
Meeting of the
Committee for the Developing Countries (CDC) of the
European Mathematical Society
(EMS)
April 12 - June 27, 2010: Rio de Janeiro, Brazil.
IMPA Instituto Nacional de Matematica Pura e Aplicada,
Course on number theory.
July 12 - 18, 2010: Sherubtse College, Kanglung, Bhutan.
July 19 - 31, 2010: Dhulikhel, Nepal.
CIMPA
Research school of number theory in cryptography and its application.
School of Science, Kathmandu University.
Course on Finite Fields.
August 19 - 27, 2010: Hyderabad, India.
International Congress of Mathematicians ICM 2010,
Hyderabad International Convention Centre.
August 29 - September 3, 2010: Chennai India.
Analytic and Combinatorial Number Theory,
The Institute of Mathematical Sciences (IMSc).
Du 6 au 11 septembre 2010: CIRM, Luminy, France
Approximation diophantienne et transcendance.
Perfect Powers:
Pillai's works and their developments
(pdf: 344 Ko)
to be published in a volume on Pillai's collected papers.
Number Theory Math arXiv:0908.4031
Archive Ouverte hal-00405119
Auxiliary functions in transcendence proofs
(pdf 38 p., 400 Ko)
The Ramanujan Journal, vol. 20 No 3(2009), 341-373.
doi:10.1007/s11139-009-9204-y
ISSN: 1382-4090 (Print) 1572-9303 (Online)
To appear later in a volume in the book series
Developments in Mathematics by Springer Verlag.
Number Theory Math arXiv:0908.4024
Archive Ouverte hal-00405120
Report on some recent advances in Diophantine approximation
(pdf: 368 Ko)
to be published by Springer Verlag as a contributed article in a special volume in honor of Serge Lang.
Number Theory Math arXiv:0908.3973
Archive Ouverte hal-00407199
les fichiers pdf ou ppt de mes exposés récents sont
téléchargeables.
pdf or ppt files of my
recent lectures are available.
Srinivasa Ramanujan
screen pdf: 3 Mo, 156 p.
print pdf: 2.5 Mo, 20 p.
Pie Mathematics Association, Chennai (India),
Sunday, December 20.
Cryptographie: une introduction élémentaire
ppt 2,9 Mo, 81 p.
print pdf 2,9 Mo, 20 p.
Exposé au
Maths-Club
de l'IREM,
Université Paris Diderot, Lundi 26 octobre 2009.
Schanuel's Conjecture and criteria for algebraic independence.
screen pdf 6 Mo, 111 p.
print pdf 5.7 Mo, 16 p.
Two-day International Conference on Number Theory, October 17 - 18, 2009,
Kinki University, Iizuka, Fukuoka (Japan).
Lecture on Sunday, October 18, 2009
Recent Diophantine results on zeta values: a survey
screen pdf: 7 Mo, 119 p.
print pdf: 6.7 Mo, 20 p.
Analytic number theory and related topics, RIMS, Kyoto. Japan. Organizer : Hirofumi Tsumura.
Department of Mathematics, Kyoto Univ.,
Lecture on Friday, October 16, 2009
Criteria for irrationality, linear independence, transcendence, algebraic independence.
screen pdf: 4,7 Mo, 94 p.
print pdf: 4.4 Mo, 14 p.
International conference on "Analytic Number Theory" ant2009, TIFR
Tata Institute of Fundamental Research.
Mumbai = Bombay (India); Thursday, October 8, 2009.
Questions arithmétiques soulevées par des lapins, des vaches et le Code da Vinci
ppt 8,9 Mo, 82 p
print pdf 6,8 Mo, 21 p. ,
Conférence CRM , Université Laval, Québec, Canada. Vendredi 25 septembre 2009.
Transcendental numbers: recent results and open problems (pdf: 3.9 Mo),
Nombres transcendants: résultats récents et problèmes ouverts,
Seventh Pan African Congress of Mathematicians (7th PACOM)
Septième Congrès Pan Africain de Mathématiques (7è COPAM):
Yamoussoukro (Côte d'Ivoire - Ivory Coats), August 5, 2009.
Introduction à la cryptographie
ppt 2,9 Mo, 81 p.
print pdf 2,9 Mo, 21 p.
Université des Sciences et de la Technologie
Houari-Boumediène (USTHB), Alger, 8 juin 2009.
Schanuel's Conjecture and
Criteria for Algebraic Independence,
Taida Institute for Mathematical Sciences (TIMS),
May 19 - 22, 2009,
conference "Modular Forms and Function Field Arithmetic",
Friday, May 22, 2009.
La méthode de Charles Hermite en théorie des nombres transcendants,
Sur
quatre articles de Charles Hermite,
« Sur la fonction exponentielle »,
Comptes-rendus de l’Académie des sciences, Paris, tome 77 (1873),
pages 18-24, 74-79, 226-233, 285-293 (30 pages).
Bibliothèque numérique de textes scientifiques
BibNum.
From classical arithmetics to information science:
some applications of abstract research
(ppt: 3.2 Mo),
Lahore University of Management Sciences (LUMS)
under the programme
French Science Tour in Pakistan
(February 24, 2009).
Some recent results in mathematics related to modern technology
ppt 4,7 Mo, 171 p.
print pdf 4,1 Mo, 43 p..
Islamabad,
COMSATS Institute of Information Technology (CIIT)
Department of Mathematics in the Faculty of Sciences
and
National University of Science and technology (NUST),
School of Electrical Engineering and Computer Sciences (SEECS),
November 30, 2009.
Transcendental Number Theory: Schanuel's Conjecture
(pdf: 5.2 Mo),
Heidelberg Colloquium
organized by the Institute for Mathematics
(January 22, 2009).
Presentation of the CIMPA - Centre International de Mathématiques Pures et Appliquées
(ppt: 8.9 Mo)
Iraqi Kurdistan, October 2008:
College of Science,
Salahaddin University, Hawler (Erbil) (October 7);
Sulaimani University, As Sulaymaniyah (October 11);
College of Science,
Dohuk University, (October 12);
Nepal:
Department of Natural Sciences (Mathematics),
School of Science,
Kathmandu University, Kathmandu, November 23, 2008;
Bhutan:
Sherubtse College, Royal University of Bhutan, Kanglung, December 4, 2008.
On the so-called Pell-Fermat equation
(pdf: 1 Mo),
Institute of Mathematics and Applications, Bhubaneswar (Orissa, India), December 12, 2008
and
College of Science,
Salahaddin University, Hawler (Erbil),
Iraqi Kurdistan Region,
October 9, 2008.
L'équation dite de Pell-Fermat x^2-dy^2=+- 1 (pdf: 844 Ko),
Université Blaise Pascal, Clermont Ferrand,
Séminaire de Mathématiques Pures,
Mardi 20 Mai 2008.
Voir aussi mon
cours de M1 du 15 janvier 2009:
L'équation dite de Pell-Fermat (pdf: 1,2 Mo).
Discrete mathematics and Diophantine analysis
(pdf: 1.4 Mo),
Iraqi Kurdistan Region,
College of Science,
Salahaddin University, Hawler (Erbil), October 9, 2008.
On the Markoff equation x^2+y^2+z^2=3xyz.
screen pdf 4.2 Mo, 142 p.
print pdf 3.3 Mo, 17 p.
October 21, 2009:
Algebra Seminar, Kyushu University, Japon.
Autour de l'équation de Markoff (pdf: 6,3 Mo),
Colloquium de Mathématiques,
Département de mathématiques et de statistique,
Université Laval,
Québec (Canada),
Jeudi 24 septembre 2009.
Autour de l'équation de Markoff x^2+y^2+z^2=3xyz (pdf: 5,7 Mo),
screen pdf 5,8 Mo, 208 p.
print pdf 4,9 Mo, 25 p.
Colloque de théorie des nombres, St Etienne,
Jeudi 5 juin 2008.
version révisée de l'exposé précédemment donné à la
Journées des doctorants en Mathématiques
de la région Nord Pas de Calais,
Wimereux,
Lundi 31 mars 2008.
Voir aussi mon
cours de M1 du 20 janvier 2009:
Équations Diophantiennes (pdf: 7,9 Mo).