Prof. dr. G.R. (Gil) Cavalcanti

Prof. dr. G.R. (Gil) Cavalcanti

Professor
Fundamental Mathematics
Academic Director
Mathematical Institute
+31 30 253 1512
g.r.cavalcanti@uu.nl

I am a differential geometer at the Mathematical Institute of Utrecht University. My research focuses on generalized complex geometry, a framework introduced by Nigel Hitchin that unifies complex and symplectic geometry. Much of my work investigates the topology of these structures, their deformation theory, and the geometric transitions they allow — including stable generalized complex structures, blow‑ups, and Lefschetz‑type fibrations.

I also work in Poisson geometry, where I produced a number of examples of Poisson manifolds that display interesting phenomena, including results on existence of log‑symplectic manifolds and of Poisson structures with compact support.

A recurring theme in my research is the interaction between geometry and physics. I have explored several aspects of T‑duality, and its relations to Courant algebroids, generalized geometry and beyond. This includes the original paper on T-duality and generalized complex structures with Gualtieri and a sequence of follow up papers on non‑principal T‑duality with Witt, topological spherical T‑duality with Heemskerk and Uribe, T‑duality for transgressive fibrations and T-duality for iterated sphere bundles.

Other interests include SKT geometry and questions in symplectic topology, often with a topological or cohomological flavor.

I am Director of the GQT cluster and a member of the PWN Research Committee. Since January 2026, I serve as Research Director of the Mathematics Institute.