Pierre Bayard

Address:

Instituto de Fisica y Matematicas,

Universidad Michoacana de San Nicolas de Hidalgo,

Ciudad Universitaria, C-3

C.P. 58040 Morelia, Michoacan, MEXICO.

Phone: +52 (443) 322 3500

Fax: +52 (443) 322 3500 ext 4126

E-mail: bayard@ifm.umich.mx

Brief Curriculum Vitae:

2004- Professor at the Institute for Physics and Mathematics, U.M.S.N.H., Morelia.

2002-2003 Professor of "Classes Preparatoires aux Grandes Ecoles", Paris.

2001-2002 and 2003-2004 Assistant Professor "ATER" at the Universities of Tours and Nice - Sophia-Antipolis, France.

2001 PhD in mathematics at the University of Nice - Sophia-Antipolis, France, with Philippe Delanoe.

1995-1998 Student at the "Ecole Normale Superieure" of Cachan, France.

1997 "Agregation" of mathematics.

1996 Master of mathematics at the University of Orsay, France.

Member of the S.N.I (level I) from january 2007.

Current Fields of Interest: Riemannian and Lorentzian geometry, Spinor geometry, elliptic and parabolic fully nonlinear PDEs.

In preparation:

A spinor characterization of surfaces in four-dimensional space forms, with Julien Roth and Marie-Amelie Lawn.

Publications:

1- Probleme de Dirichlet pour la courbure scalaire dans R^{3,1}. C. R. Acad. Sci. Paris t. 322 Serie 1, 219-222 (2001).

2- Dirichlet problem for space-like hypersurfaces with prescribed scalar curvature in R^{n,1}. Calc. Var. 18, 1-30 (2003).

3- Entire spacelike hypersurfaces of prescribed scalar curvature in Minkowski space. Calc. Var. 26 (2), 245-264 (2006).

4- Entire spacelike hypersurfaces of constant Gauss curvature in Minkowski space, with Oliver Schnuerer, J. reine angew. Math. 627, 1-29 (2009).

5- Spacelike entire radial graphs in the Minkowski space, asymptotic to the light-cone, with prescribed scalar curvature, with Philippe Delanoe, Ann. I. H. Poincare - AN 26, 903-915 (2009).

6- Entire scalar curvature flow and hypersurfaces of constant scalar curvature in Minkowski space, Methods and Applications of Analysis 16 (1), 87-118 (2009).

7- Geometric invariants and principal configurations on spacelike surfaces immersed in R^3,1, with Federico Sanchez-Bringas, Proc. Roy. Soc. Edinburgh Sect. A 140 (6), 1141-1160 (2010).

8- Geometric invariants of surfaces in R^4, with Federico Sanchez-Bringas, Topology and its Applications 159, 405-413 (2012).

9- Invariants and quasi-umbilicity of timelike surfaces in Minkowski space R^3,1, with Federico Sanchez-Bringas, J. Geom. Phys., to appear.

10- Surfaces in R^4 with constant principal angles with respect to a plane, with Antonio Di Scala, Osvaldo Osuna Castro and Gabriel Ruiz-Hernandez, Geometriae Dedicata, to appear.

Preprints on arXiv.

(they are preprints, and may thus slightly differ from their published version).

Some links:

Societe Mathematique de France (SMF).

Laboratoire J.A. Dieudonne (Universite de Nice Sophia-Antipolis).

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Pierre Bayard, Last modified: March 13, 2012.