1957 : Born in Belfort (France).

1978/1981 : Student Ecole Normale Superieure Saint-Cloud.

1980 : Agregation de Mathématiques. Rank : 5.

1982/1984 : National service at the University of Monastir (Tunisia).

1984 : These de Troisieme cycle. Directeur : J.M. Bismut.

1984/1988 : assistant at the Universite de Besançon.

1987 : Habilitation a diriger les recherches. Universite de Besançon. Directeur : J.M. Bismut.

1988 : Bronze medal of C.N.R.S.

1988/1994 : Charge de recherches Premiere classe C.N.R.S. Universite de Strasbourg.

1989 : Rollo Davidson Prize.

1994/2004 : Directeur de recherches Seconde Classe. C.N.R.S. Universite de Nancy.

1999- : Associate editor of ”Infinite dimensional analysis, quantum probability and related topics”.

2003 : Editor of a special issue ”Probability and geometry” of the Journal ”Infinite dimensional analysis, quantum probability and related topics”.

2004/2011 : Directeur de recherches Seconde Classe. Universite de Dijon.

2008- : Associate editor of the journal ”Advances in mathematical physics”.

2008 : Editor with M. Demiralp, W. Mikhael, A. Cabarello, N. Abatzoglou, N. Tabrizi, M. Garcia-Planas, R. Choras of ”Computational methods and applied computing” (W.S.E.A.S. press).

2008 : Editor with X. Dai, X. Ma, W. Zhang of ”From probability to geometry : a collection of papers dedicated to Jean-Michel Bismut for his sixtieth birthday”. ”Asterisque 327/328”(2009).

2008- : Associate editor of the journal ”The open statistics and probability journal”.

2009- : Associate editor of the journal ”Symmetry”.

2009- : Associate editor of the journal ”International journal of computers”.

2011-:Editor with M. Demiralp, M. Tuba, L. Vladareanu, O. Martin, N.Mastorakis and G-R. Gillich of ”European computing conference” (W.S.E.A.S.Press).

2011-:Associate editor of the journal ”Axioms : Mathematical Logic and Mathematical Physics”.

2011-:Directeur de recherches seconde classe Universite de Franche-Comte

2012-:Associate editor of the journal ”International journal of physics and mathematical sciences”.

2012-:Associate editor of the journal ”Conference papers in mathematics”.

2012- : Associate editor of the journal ”International journal of analysis”.

Organisator of various conferences :

• ”Loops spaces” (Strasbourg 1994)with S. Paycha and T. Wuerzbacher.
• ”Probability and geometry” (Nancy 1999).
• ”Infinite dimensional analysis” (C.I.R.M. 2001).
• I have organized a session ”Analysis on path spaces” at the Satellite Conference of Stochastic Analysis of I.C.M. at Beijing (2002).
• ”Infinite dimensional analysis and path integrals” (C.I.R.M 2004) with C.De Witt-Morette.
• ”Stochastic analysis and mathematical physics” (Dijon. 2006).

Review papers :

Applications quantitatives et geometriques du calcul de Malliavin.In ”Stochastic analysis” (Paris. E.N.S) M. Metivier. S. Watanabe edit. 109-133. Lecture Notes 1322. 1988. English translation : In ”Geometry of random motion” (Cornell). R. Durrett. M. Pinsky edit. 173-197. Contemporary Mathematics 73.1988.

Strange behaviour of the heat kernel on the diagonal. In ”Stochastic processes, physics and geometry” (Ascona). S. Albeverio and al eds., 516–528. World Scientific, 1991.

With F.Russo : Density estimates for stochastic partial differential equations. In ” Stochastic analysis”.(Ascona) E. Bolthausen M. Dozzi F. Russo edit. Progress in Probability 36. (1995) 169-186.

Cover of the brownian bridge and stochastic symplectic action. Reviews of Maths. Physics. 12. (2000), 91-137.

Analysis over loop space and topology. Mathematical Notes. 72 (2002), 212-229.

Malliavin Calculus for a general manifold. In ”Seminaire X-EDP”Exposé XXIV. J.M. Bony, J.Y. Chemin, J. Sjoestrand eds, 2003, (Electronic).

The geometry of Brownian surfaces. Probability Surveys 3 (2006), 37-88.

Paths integrals in non-commutative geometry. Encyclopedia of Mathematical Physics. J.P. Francoise, G. Naber, S.T. Tsou eds . Elsevier (2006), 8-12

Applications of the Malliavin Calculus of Bismut type without probability. in ”Simulation, modelling and optimization” (Lisboa) A.M. Madureira edit. CD 2006. Copy in WSEAS Transactions of Mathematics. 6. (2007), 1205-1211.

Malliavin Calculus of Bismut type in semi-group theory. Far East Journal of Mathematical Sciences. 30 (2008), 1-26.

Deformation quantization in infinite dimensional analysis. ”Festchrift in honour of H.v. Weizsaecker” (Kaiserslautern). M. Scheutzow and edit. Cambridge University Press (2009), 283-303.

Stochastic analysis without probability : study of some basic tools. Journal of Pseudo-differential operators and applications. 1 (2010), 389-400.