Curriculum Vitae for Marius Crainic

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convex polyhedra, the Euler characteristic (i.e. the number of faces minus the number of edges plus the number of vertices) is allways 2. In relation with geometry, one should keep in mind that every field in geometry comes with its underlying topological aspects, and one of the most fundamental mathematical question is to understand the effect that the topology has on the geometry. Probably one of the best known examples of this interaction is the Gauss-Bonnet theorem which relates the curvature of a surfaces (defined using Riemannian metrics, hence Differential Geometry) in terms of the Euler characteristic (defined using Topology). The modern generalization of the Gauss-Bonnet theorem, known as the Atiyah-Singer index theorem, brings together in an exciting way Topology, Geometry as well as Analysis, with striking applications to Mathematical Physics. In a broad sense, the research interests of Marius Crainic are in the field of Differential Geometry and its interactions with Topology. More specific current interests are in the field of Poisson Geometry and in the modern aspects of Lie theory (see above). In fact, MC is best known for his results on integrability (solving a long-standing open problem in Lie theory), and his contributions to Poisson Geometry (including the solution to some other problems that were open for a long time, for which he was awarded the ”Lichnerowicz prise” in 2008). Currently he is working on developping the new field of “Poisson Topology” and on the study of geometric structures (such as Poisson structures, but not only) as well as of partial differential equations using his own insight in Lie Theory (via Lie pseudogroups and Lie groupoids). 14
Curriculum Vitae for Marius Crainic II. Teaching and Supervising Component Summary: • Teaching education/degrees • At the border of research/teaching: mini-courses abroad • Teaching experience (at UU) • PhD supervision • Other supervising experience 15
Page 1: Curriculum Vitae for Marius Crainic
Page 5: Experience 2007- UHD , Utrecht Univ
Page 9 and 10: Talks in (international) conference
Page 11 and 12: Organizational activities • Poiss
Page 13: The broad research interests of Mar
Page 19: At the border of research/teaching:
Page 22 and 23: Please see the web-page: http://www
Page 24: Other supervising experience 2011-2
Page 28 and 29: Publications 1. Main published pape
Page 30: Work in progress [1] Poisson manifo

Curriculum Vitae for Marius Crainic

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