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Brief Curriculum Vitae
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, numéro 1, mention Très Bien, Paris, 1967. »
Actual professional activities
- Lectures on Differential Geometry at the University Institute of Preparation of Teachers of Toulouse, (I.U.F.M. of Toulouse)
- 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
- 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 ICCA7, 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
- Founder and Principal Coordinator of the International Center : C.A.I.R.O.S.,(Clifford Algebras International Research Open Studies ), inside the Laboratory E. Picard of the Institute of Mathematics of Toulouser, 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
- Member of the Scientific Committee of the Laboratory: Pensée des Sciences, EcoleNormale Supérieure de Paris”.
- Member of the scientific committee of the laboratory: ”Centre d’étude des formes”, Université J. Moulin, Lyon.
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
- « 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, Advances in applied Clifford Algebras , Birkhäuser, Basel, volume 15, number2, pp..291-316,October 2005,
- « 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.
- « Pseudo-unitary conformal spin structures on manifolds », pp.1 –32, submitted for publication in December 2005 to appear in the Proceedings of I.C.C.A.7
- Editor of the Proceedings of the Conference ICCA7 to be published in 2008 as a special issue of 800 pages of the journal: Advances In Applied Clifford Algebras Chief Editor : Jaime Keller, Academy of Sciences of Mexico, published by Birkhäuser, Basel.
- Editor of the proceedings of the Preparatory Conference of ICCA7 as a special issue of 250 pages of the previous journal, to be published in 2008.
- La structure d’algèbre de Clifford, preprint pages 1-32, accepted for publication in Advances in Applied Clifford Algebras, Birkhäuser , Basel., in the proceedings of the Preparatory Conference of ICCA7.
Preparation of books
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With Arkadiusz Jadczyk, preparation of a book: « Algebras, Space-time and quantum mechanics », 350 pages.
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With Arkadiusz Jadczyk, preparation of a book : « Exercises in Clifford Algebras », 300 pages , for Birkhäuser.,Boston.
Papers submitted
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« Les structures spinorielles conformes symplectiques »,pp.1-45, submitted for publication in February 2008 .
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« Algèbres de Cayley et Fondements de la Mécanique Quantique », pp.1-25, submitted for publication in December 2007 ..
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« Le procédé de Cayley–Dickson et les algèbres de Clifford », pp.1-38, submitted for publication in January 2008.
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 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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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 2007 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 2007 by Luciano Boi to deliver lectures in his seminar of E.H.E.S.S., Paris
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Invited in 2008 by Charles Alunni to his seminar at the “ L’Ecole Normale Supérieure de Paris”.
Some publications in Philosophy
- 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.
- Publication of 2 volumes : « L’archange d’immortalité ou essai mathématique d’approche du phénomène de rajeunissement dans l’antiquité », 1250 pages, A.N.R.T., february 2008, Lille.
Books in progress
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« Les grands problèmes scientifiques contemporains »,350 pages, To appear in 2008.
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« Il était une fois la logique »,220 pages.. To appear at the end of 2008.
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« Portraits mathématiques », corresponding to the lectures given on the History of Mathematical Sciences at the University Paul Sabatier , 380 pages.
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Preparation of a book: “L’unification des Mathématiques” with Daniel Parrochia and Artibano Micali, ~ 150 pages.
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