Geometry and Quantum Theory (GQT)

Gil Cavalcanti

Gil Cavalcanti (1977) did his D.Phil. in Oxford University under the supervision of Nigel Hitchin and finished his degree in 2004. After that he held an EPSRC scholarship to work in Oxford as Hitchin’s post-doctoral research assistant from 2005 to 2008. At the same time he was also a Junior Research Fellow in Jesus College. At the end of his post-doc, in 2007, Cavalcanti was awarded a Veni grant from NWO and a Marie Curie IEF grant from the European Research Council to work in the mathematics department in Utrecht, from 2008. In 2009 Cavalcanti was appointed as assistant professor in Utrecht.

Cavalcanti’s area of research is generalized complex geometry and nearby areas of complex and symplectic geometry. He is currently working on questions concerning generalized complex structures on 4-manifolds, including a possible Lefschetz fibration structure for those as well as differential invariants which might be associated to such manifolds. Some of his long term collaborators are Marco Gualtieri (University of Toronto) and Henrique Bursztyn (IMPA).

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