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Academic distinctions
- Member of the “Académie d’Occitanie des Arts, Lettres, Sciences et Traditions Populaires” ;(admission :June 19th 2012)
- Chevalier de la Légion d’Honneur, (Journal Officiel de la République Française du 16 avril 2006)
- Honorary citizen of the towns of Albi and Gaillac , (81), France.(2005)
- Member of the « Société Toulousaine de Philosophie ».
Principal Diplomas
- « Doctorat d’état es sciences, spécialité mathématiques, Université P. Sabatier, Toulouse III, mention Très Honorable, 13-12- 1996 »
- « Doctorat en science politique, Université de Toulouse I, mention Très Honorable, 4-09- 1996. »
- « Doctorat d’état es lettres et sciences humaines, spécialité philosophie, Université de Toulouse Le Mirail, Toulouse II, mention Honorable, 05-06-1990 »
- « Doctorat de spécialité de Mathématiques pures, option géométrie différentielle, Université P.Sabatier, Toulouse III, mention Très Honorable, 05-07-1983 »
- « C.A.P.E.S. de Mathématiques, mention Très Bien, Paris, 1967 »
Actual professional activities
- Principal coordinator of the International Center CAIROS, www.icca7.ups-tlse.fr/cairos.htm
- Principal coordinator of the research_group:” Mathématiques et Physique, enseignement supérieur”;I.R.E.M. of Toulouse-(Institut de recherche pour l’enseignement des mathématiques de Toulouse).
Previous professional activities,(2005-2008)
- Responsible of the lectures on Differential Geometry at the University Institute of Preparation of Teachers of Toulouse, (I.U.F.M. of Toulouse)
- Responsible of a seminar on Mathematical Physics at The Mathematical Research Institute for Teaching of Toulouse, (I.R.E.M. of Toulouse ).
- Tutor of students.
Recent research experience
- Member of the Laboratory of Mathematics E. Picard, inside The Institute of Mathematics of Toulouse open on January ,31, 2007.
- Editor of « Advances in Applied Clifford Algebras », published by Birkhäuser ,Basel.
- Member of the International Advisory Committee since,2005, and chosen as the responsible of the organization of I.C.C.A.7, the seventh International Conference on Clifford Algebras and their Applications , held in Toulouse , France , at the University Paul Sabatier and located at SUPAERO, May 19-25, 2005; website:www.icca7.ups-tlse.fr
- Member of the International Advisory Board of ICCA8, the eighth International Conference on Clifford Algebras , to be held at the university of Campinas ,Brazil , in May 2008
- Invited to ICCA9 as an invited speaker. Two plenary lectures:”In memory to Prof. Jaime Keller”and “Some comments on the birth and the progress of Clifford algebras”
- Founder and Principal Coordinator of the International Center : C.A.I.R.O.S.,(Clifford Algebras International Rese)arch Open Studies ), inside the Laboratory E. Picard of the Institute of Mathematics of Toulouse, April 23, 2007, website : www.icca7.ups-tlse.fr/cairos.htm
- Member of the jury of french « Concours Communs Polytechniques », since 2001.
- Reviewer of Mathematical reviews since 1988; Reviewer of ZentralBlatt Math.
- Responsible of the cooperation between the University of Technology of Helsinki and the University P. Sabatier, (1983)
- Invited by the Laboratory LUTH of Meudon, France(Observatory of Meudon), to organize a seminar about Clifford Algebras, Conformal Groups and The Cayley-Dickson Process in November 2005, (Laurent Nottale and Thierry Lehner, organizers).
- Invited by Luciano Boi,” Ecole des Hautes Etudes En Sciences Sociales” to deliver lectures in November 2006 on Clifford Algebras and Physics.
- Member of the Scientific Committee of the Laboratory: :Pensée des Sciences, Ecole Normale Supérieure de Paris”.
- Member of the scientific committee of the laboratory:”Centre d’étude des formes”, Université J. Moulin, Lyon.
Principal foreign missions
- Research missions to Helsinki, Finland,(University of Technology): 24-10-1982, 31-10-1982;28-10 1983,04-11-1983,(Invitations of Pertti Lounesto)
- Lectures given at the seminar of Pertti Lounesto on Conformal spin structures on manifolds and on Conformal symplectic spin structures.
- Cooperation between the University of Technology of Helsinki and the University Paul Sabatier of Toulouse. Official Visit to Toulouse of President M. Koivisto of the Republic of Finland, (17- 11-1983)
- New mission in Finland given by the French Foreign Office in 1985
- Invited by the organizing Committee to the first International Conference on Clifford Algebras: namely:
“Nato and Serc Advanced Workshop on Clifford Algebras and their applications in mathematical physics”, at the University of Kent at Canterbury, England to deliver two lectures:” Even Clifford Algebras of Quadratic regular spaces »-17-09 –85- , published in the proceedings of the workshop and « Real conformal spinoriality groups and real conformal spin structures on manifolds »,- 20- 09- 85.
- Invited to the third Symposium of Differential Geometry of Peniscola, Spain, (June 1988)
- Invited to the International Conference on Clifford Algebras in Montpellier, France.
Lecture given,(20-08-1989), « Triality for standard vector spaces Er,s »
- Invited,(10-17 June 1990), by the Acadamy of Sciences of Poland to deliver lectures on Differential Geometry, at the International Conference of Mialowiecza.
- Invited by D. Hestenes, University of Tempe, Arizona, U.S.A.., in 1991.
- Invited to the Fourth International Conference on Clifford Algebras, at Aachen, Germany., June 28-31, 1996
- Invited to The international Conference on Clifford algebras at Ixtapa, Mexico, 1999,to deliver two lectures
- Invited to the sixth International Conference on Clifford algebras and their apllications, May 18-25, 2002, to deliver three lectures, State University of Tennessee at Cookeville, U.S.A.,(organizers J; Ryan and R. Ablamowicz).
- Responsible of the organization of ICCA7, May 10-25, 2005, University P; Sabatier- Supaero, Toulouse , France. Two lectures given.
- Invited to the « International Conference on numerical analysis and applied mathematics », Rhodes, 16-09-2005 ; 21-09-2005.(organizer W;Sproessig)
- Invited to The « International Meeting of the Society of Engineering sciences” August,13-16 2006,
- Invited to ICCA9 as an invited Speaker.Two plenary lectures:In memory to Prof. Jaime Keller and Some comments on the birth and the progress of Clifford algebras.
PennState University in University Park, PA.
- Invited by the Laboratory LUTH of Meudon, France(Observatory of Meudon), to organize a seminar about Clifford Algebras, Conformal Groups and The Cayley-Dickson Process in November 2005, (Laurent Nottale and Thierry Lehner, organizers).
- Invited by Luciano Boi,” Ecole des Hautes Etudes En Sciences Sociales” to deliver lectures in November 2006 on Clifford Algebras and Physics.
- Invited in November 2-4, 2005 to the “ Journées Algébres Géométriques et Applications “ organized at the CIRM of Luminy.France, by Nabil Anwer and Laurent Fuchs. Two lectures given
- Member of the scientific committee of ICCA8, Campinas, Brazil, May 2008, (organizers W A..Rodrigues Jr.and J.Vaz Jr.)
- Invited to the seminar of Luciano Boi at” Ecole des Hautes Etudes en Sciences Sociales de Paris “ in 2008.
- Member of the scientific committee of AGACSE’2008, Leipzig , August 17-19.
Selected publications in Mathematical Physics
- « Construction de revêtements du groupe conforme d’un espace vectoriel muni d’une métrique de type (p,q) », Annales de l’I.H.P.,Section A,vol.XXXIII, no1, 1980, pp.33-51.
- « Géométrie spinorielle conforme orthogonale triviale et groupes de spinorialité conformes », Report HTKK Math .A 195, 1982, pp.1-36, Helsinki University of Technology
- « Construction de revêtements du groupe conforme symplectique CSp(2r, IR). Définition des structures spinorielles conformes symplectiques », Simon Stevin, a quaterly journal of pure and applied mathematics, . vol. 60, no 1, 1986, pp.57-82,Gent, Belgium.
- « Algèbres de Clifford C+(r,s) des espaces quadratiques pseudo-euclidiens standards Er,s et structures correspondantes sur les espaces de spineurs associés ; plongements naturels des quadriques projectives associées », pp.79-91 of the book : vol. 123 series C, Publications of lOTAN, « Clifford algebras and their applications in mathematical physics » edited by J.S.R. Chisholm and A.K . Common, D.Reidel Publishing Company, 1986.
- «Real conformal spin structures on manifolds », Studia Scientiarum Mathematicarum Hungarica, 23 (1988), pp.115-139, Akadémial Kiadô, Budapest., Hungary
- « Groupes spinoriels des espaces pseudo-euclidiens standards et quadriques projectives réelles associées », Simon Stevin, a quaterly journal of pure and applied mathematics, vol.63,, no 1, Mars 1989, pp.3-44, Gent, Belgium.
- « Algèbres de Clifford associées à U(p,q) et à SO*(2n) », Simon Stevin , a quaterly journal of pure and applied mathematics, vol. 63, no 3-4, pp. 231-276, 1989, Gent, Belgium.
- « Etude de la trialité en signature quelconque pour les espaces vectoriels réels standards de dimension paire », Journal of natural geometry, The Mathematical Research Unit, London,Volume 14, 1998, pp. 1-42.
- « Opérateurs de création et d’annihilation et algèbres de Clifford », Annales de la Fondation Louis de Broglie, Volume 28, no 3-4, 2003, pp 331-355 (with René- Louis Clerc)
- « Pseudo-unitary conformal groups and Clifford algebras for standard pseudo-hermitian spaces », Advances in Applied Clifford Algebras, Birkhäuser Basel, volume 14, number .1, pp.1-34, March 2004.
- « Structure spinorielle associée à un espace vectoriel quaternionnien à droite E sur IH, muni d’une forme sesquilinéaire b non dégénérée IH–anti-hermitienne, pp.291-316, Volume 15, Number2, pp..291-316, Advances in applied Clifford Algebras
- « Pseudo-unitary conformal spin structures on manifolds », pp.1 –32, submitted for publication in December 2005 to the Proceedings de I.C.C.A.7 and accepted for publication.
- Editor of the Proceedings of the Conference ICCA7 Vol. 18, N° 3-4, pp.287-1032, 2008 Special Issue of the journal: Advances In Applied Clifford Algebras Chief Editor : Jaime Keller, Academy of Sciences of Mexico, published by Birkhäuser, Basel.
- author of the preface pp. 287-311
- Editor of the proceedings of the Preparatory Conference of ICCA7 Vol; 19, N° 3-4, pp. 497-957, 2009 Special issue of Advances In Applied Clifford Algebras Chief Editor : Jaime Keller, Academy of Sciences of Mexico, published by Birkhäuser, Basel.
- author of the preface,pp.497-499
- The structure of the Clifford algebra, pp.585-610, Vol. 19, N° 3-4 Advances in applied Clifford algebras
- « Conformal groups in geometry and spin structures »,book of 284 pages , prefaces by Jaime Keller ,Member of the Academy of Sciences of Mexico and by José Bertin, Institut Joseph Fourier, Grenoble, collection “Progress in Mathematical physics”, volume 50 , ISBN:0817651222, BIRKHAUSER, 1st edition, 19 November 2007.
- Dimension of Clifford Algebras for standard pseudo-hertmitian spaces, Advances in applied Clifford algebras, 2009, Birkhäuser Verlag Basel DO1 10.1007/s0006-0147-6,PP1-6.
- Study of Some fundamental Projective quadrics associated with a standard pseudo-unitary space H(p,q) Advances in Applied Clifford algebras, 21,(2011), pp.233-246
- with Jaime Keller publication of two papers , each of one of 15 pages in the proceedings of an international conference at Trieste
- Some comments on the birth and the progress of Clifford algebras, pp.1-30, Proceedings of ICCA9
- A few comments on the Clifford algebra CL(2) of the standard Euclidean plane, Adv. Appl. Clifford Algebras 22,(2012), pp. 519-535.
Teaching work
Some teaching papers
- « Communications à l’Inspection des mathématiques au Maroc sur l’enseignement des mathématiques », Rabat, Morocco, 1970.
- « Détermination de l’Indicateur d’Euler en application des propriétés de la fonction partie entière »,pp.145-151, « Bulletin national n° 302 de l’A.P.M.E.P. ,Paris. »
- « Etude comparative de trois axiomatiques de géométrie plane », Publication of the I.R.E.M. of Toulouse ; « Bulletins régionaux no 12-13, pp.1-120 ; 1980. »
- « La notion de spin en physique et les spineurs », pp.1-40, Publication of the I.R.E.M. de Toulouse, February 1986.Lecture given on 12 –02-1986.
- « Préliminaires à toute didactique », pp.1- 30, Publication of the I.R.E.M. of Toulouse, 1986.
Teaching books
- « Précis de Mécanique Générale »,250 pages , Supaéro, Toulouse, 1971.
- Préparation au CAPES de Mathématiques : « Notions de Logique », pp.1-25, U.F.R. M.I.G.. of Toulouse, 1975.
- Notions fondamentales utiles en mécanique », pp.1-40, Préparation au CAPES de Mathématiques , Toulouse, 1970.
- « Précis de géométrie », pp. 1-80. Préparation au Capes de Mathématiques, Toulouse, 1986.
- « Cours d’Analyse, Algèbre et Géométrie Différentielle », 3 volumes, chacun de120 pages, I.P.S.T., Toulouse, 1987.
- « Cours d’algèbre linéaire et bilinéaire », pp.1-250, « Ecole des Mines d’Albi », 1995.
- « Cours de calcul tensoriel et d’analyse sur les variétés », pp.1-120, « Ecole des mines d’Albi », 1995.
Teaching and research book
- « Formalisme canonique relativiste »,vol. VI, written with Jean Duc et honored by a letter of presentation written by O. Costa de Beauregard. , pp.1—100, “dépôt légal n°74035, E.N.S.A.E.,Toulouse, 1986.
Papers for the Mathematical Institute of research for Teaching of Toulouse, (I.R.E.M.)
- In « Le fil d’Ariane » journal of IREM of Toulouse, publication of 20 teaching papers ,each one of 20 pages.
Lectures given at the IREM of Toulouse
- 50 lectures given about Foundations of Mathematics, Geometry and Physics, since 1986
Research Work in Philosophy, Epistemology, Political Science,History of Sciences and Techniques
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President of the organizing Committee of the Seventh International Conference in Philosophy ; :« L’homme dans l’espace Cosmique, Passé et Avenir », 18-24 july 1995, « Ecole des Mines d’Albi » , in links with the Academy of Athens, Rector- Academician E. Moutsopoulos, with the effective participation of René Thom et Guy Lazorthes, Members of the “Institut de France”, A. de Peretti, A. Jacquart, J.Attali, P. Baudry.Two lectures given.
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Invited speaker in 1992 by the town hall of Bayonne for the “Entretiens of Bayonne”.Lecture given on May, 19, 1992: « Le miroir éclaté du temps ».
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Invited in 1992 par Mrs. E.Schwartz to her : « Centre d’Epistémologie comparative » at Aix en Provence, France .Lectures given
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Founder of a Center of Research in Epistemology at the I.U.F.M. of Toulouse in 1994.
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Member of the Research Doctoral School in Philosophy of the University of Toulouse le Mirail.
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Member of”Formation doctorale de philosophie de l’université de Toulouse Le Mirail”.Codirector of research and advisor since1989 (participation to 4 jurys of «D.E.A. d’Histoire de la Philosophie » at the University of Toulouse le Mirail and to a jury of “Doctorat d’état”, as an advisor.
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Research Mission to the Academy of Athens, (1-116 2000,6-11-2000), to work with the Greek Academician E. Moutsopoulos, on Temporality.
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Publications of research papers in Philosophy in the greek journals of Philosophy : Diotima and Philosophia « L’éclatement du temps », Diotima, volume 20, pp.168-176, 1992; « La raison du temps », Philosophia, Vol.21-22, 1992, pp.186-196. ; « Logique de la pensée mythique », pp.1-55, submitted in 2013 to the journal Philosophia of the Academy of Athens.
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Invited to deliver two lectures on the temporality in 2006 at the “Academie des Sciences et Belles Lettres de Toulouse “ and on June ,12, 2007.
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Invited in 2008 by Charles Alunni to his seminar at the “ L’Ecole Normale Supérieure de Paris”.
Publication of research books in Philosophy, Epistemology, History of Sciences and Techniques
- Publication of a book : « La Cité ou Etude des rapports entre le mythe et la politique chez Platon », 540 pages, Presses Universitaires du Septentrion, July 1998,Villeneuve d’Ascq,Nord ISBN : 26284600547-0
- Publication of 2 volumes : « L’archange d’immortalité ou essai mathématique d’approche du phénomène de rajeunissement dans l’antiquité » A.N.R.T. , February 2007, Lille. ISBN : 978-2-7295-6829-0,vol.1, pp. 1-729 ; vol.2, pp. 730-1248.
- Publication of a book: “L’unification des Mathématiques. Algèbres géométriques, géométrie algébrique et philosophie de Langlands”avec Daniel Parrochia et Artibano Micali,183 pages.,Hemes- Lavoisier 2012, ISBN : 978-2-7462-3838-1.
- Book in progress : « Il était une fois la logique »,220 pages.
- Book in progress : « Les grands problèmes scientifiques contemporains »,350 pages.
- Book in progress : « Portraits mathématiques », , corresponding to the lectures given on the History of Mathematical Sciences at the University Paul Sabatier , 380 pages.
- Book in progress : “ The Heritage of W.K. Clifford”, 350 pages.
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