: Master of Sciences Mathematics at the faculty of sciences and technics of the National University of Benin.
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1 Surname and first name:todjihounde L eonard. Date and place of birth: Allada (Benin). Gender: Male. Marital Status: Maried. Address: Institut de Math ematiques et de Sciences Physiques Po. Box: 613 Porto-Novo Rep. of Benin. Tel: (229) Fax: (229) leonardt67@yahoo.fr Education (postsecondary): : Master of Sciences Mathematics at the faculty of sciences and technics of the National University of Benin : Advanced Diploma course in Mathematical Physics (Riemannian geometry, functional analysis and partial di_erential equations, general relativity theory and quantum mechanics) at the Institute of Mathematics and Physical Sciences in Porto-Novo (Benin) : Ph.D. thesis in Mathematics (Di_erential Geometry) on the theme harmonic manifolds, "-equilibrium maps and harmonic objects on a Riemannian manifold at the Max-Planck-Institute for Mathematics in Leipzig (Germany) under the supervision of Prof. J urgen JOST. This thesis was doing in a join-program between the National University of Benin and german universities and has been defended on My local advisor is Prof. Jean-Pierre Ezin of National University of Benin. Spoken and written languages: french, german and english. 1
2 Research Interests - Geometrical structures on manifolds (harmonic, homogeneous and ballhomogeneous manifolds, hamonic tensors, etc...). - Global and harmonic analysis. - Variational calculus and nonlinear problems on Riemannian manifolds resulting of deformation s methods like Ricci deformation, mean-curvature flow, etc... - Geometrical methods in Physics -Convexity and dynamical systems. Distinctions and other academic responsabilities - Third World Academic Sciences (TWAS) Prize - Edition Associate Member of Abdus Salam International Center for Theoretical Physic, Trieste (Italy), for the period Reviewer and Member of the American Mathematical Society (AMS). List of Publications (Leonard TODJIHOUNDE) Books: Calcul Di_ erentiel : cours et exercices corrigés, CEPADUES-EDITIONS, Toulouse, 2004, ISBN: Papers: - On the biharmonicity of product maps, International Journal of Mathematics andmathematical Sciences, Volume 2006, Article ID 73094, DOI /IJMMS/2006/ Dualistic structures on warped product manifolds, Di_er. Geom. Dyn. Syst., Vol. 8, 2006, Some geometric consequences from the Ricci-flow evolution of the geodesic distance function, Bul. Inst. Polyteh. Iasi, Sect.I, vol. 3-4 (2005). - Ricci deformation and conformal change of metrics, Bul. Cal. Math. Soc., Vol. 95, No.5 (2003), Jost maps, ball-homogeneous and harmonic manifolds, Advances in Mathematics, Vol.172, No.2 (2002), Riemannian manifolds for which the identity is an "-equilibrium map, Di_erential Geometry and its Applications, Vol.13 (2000),
3 - Mass center and Jost maps between Riemannian manifolds, Contemporary Problems in Mathematical Physics,World Sci. Publishing, River Edge, NJ, (2000), (with J.-P. Ezin). - Remark on harmonic (0,2)-tensors, Bul. Inst. Polyteh. Iasi, Sect.I, vol. 3-4 (1999), Harmonic nets in metric spaces, preprint. (with J. Jost) - Mean-value property on manifolds with minimal horospheres, preprint. In ICTP-Publications: - (Bi)-Harmonicity of (warped) product maps, International Centre for Theoretical Physics, IC/2006/002, Trieste, (2006). - Manifolds with minimal horospheres and bounded derivative stability vector fields, International Centre for Theoretical Physics, IC/2006/003, Trieste, (2006). - Some geometric consequences from the Ricci-flow evolution of the geodesic distance function, International Centre for Theoretical Physics, IC/2002/1, Trieste, (2002). - Ricci deformation and conformal change of metrics, International Centre for Theoretical Physics, IC/99/89, Trieste, (1999). - Center of mass, equilibrium maps and special Riemannian structures, International Centre for Theoretical Physics, IC/99/88, Trieste, (1999) (with J.-P. Ezin). Scientific and Professional Activities: Since : Lecturer at the Departement of Mathematics and at the Instiute of mathematics and Physics of the University of Abomey-Calavi (Benin) : Visiting Professor at the Department of Mathematics of the University of Bretagne Occidentale, Brest (France) : Visiting Scientist at the International Centre for Theoretical : Associate Professor at the Department of the University of Antilles-Guyane (Guadeloupe) : Visiting Scientist at the Institut des Hautes Etudes Scientifiques (IHES) in Paris (France). 3
4 : Visiting Scientist at the Max-Planck-Institut for Mathematics in the Sciences in Leipzig (Germany) : Visiting Scientist at the International Centre for Theoretical : Visiting Scientist at the Max-Planck-Institute for Mathematics in the Sciences (MPI) in Leipzig (Germany) : Associate Professor at the Department of Mathematics of the University of Reunion : Visiting Scientist at the International Centre for Theoretical : Visiting Scientist at the Max-Planck-Institute for Mathematics in the Sciences (MPI) in Leipzig (Germany) : Visiting Scientist at the Institut des Hautes Etudes Scientifiques (IHES) in Paris (France) : Postdoctoral Position at the International Centre of Theoretical : Doctorant at the University of Bochum and at the Max-Planck- Institute for Mathematics in Leipzig (Germany) Teaching Activities: Departement of Mathematics and Computer Science University of Reunion. Academic years and : 1- Di_erential Calculus - 3. year of Mathematics. 2- Topology - 2. year of Mathematics. 3- Applied Mathematics - 2. year of Mathematics. 4- Analysis - 1. Year of Mathematics. 5- Analysis - 1. year of Physics. Departement of Mathematics and Computer Science - University of Ab-Calavi (Benin). Since 2000: 1- Analysis - 1. year of Mathematics and Physics. 2- Probability and Statistic - 2. year of Physics. 3- Topology and Di_erential Calculus - 3. year of Mathematics Departement of Mathematics and Computer Science University of Antilles-Guyane (Guadeloupe). 4
5 Academic year : 1- Goemetry - 3. year of Mathematics. 2- Geometry - 2. year of Mathematics. 3- Analysis - 2. year of Mathematics. Participation in the following international conferences: - GIRAGA-Workhop on Geometry, Analysis and Applications, Yaounde (Cameroun), International Congress of Mathematics 2006, ICM2006, Madrid (Spain), GEONET-Workshop on G eom etries and its Applications, Dschang (Cam eroun), Prospects in Geometry 2004, Leipzig (Germany), Lorentzian Geometry and General Relativity, Porto-Novo (Benin), Contemporary Problems in Mathematical Physics, Cotonou (Benin), Conference on Hierarchy Problems in Four and More Dimensions, Trieste (Italy), Advanced School in Basic Algebraic Geometry, Trieste (Italy), GEONET workshop on di_erential and algebraic geometry and its applications, Porto-Novo (Benin), Prospects in Geometry 2002, Leipzig (Germany), Novembre S eminaire GIRAGA IX, Yaound e (Cameroun), 9-13 Septembre Prospects in Geometry 2000, Leipzig (Germany), 2-4 November School on di_erential geometry, Trieste (Italy), April E_ectivity in algebra and geometry, Niamey (Niger), january School on mathematics of economics, Trieste (Italy), Harmonic morphisms, Brest (France), 7-13 July Dirichlet forms and their applications in geometry and stochastics, Anogia (Gr`ece), June Geometrical methods in physic, Marseille (France), 2-6 June Topological and geometrical problems related to quantum field theory, Trieste (Italy), March Yang-Mills-Higgs equations, bifurcation of di_erential equations in the plane and waves propagation, Yaound e (Cameroun), September
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