My area of research is differential geometry. The particular objects I work with are generalized complex structures. These were introduced by Nigel Hitchin in 2002 and are a simultaneous generalization of complex and symplectic structures. They are also physically relevant, as several objects which appear naturally in string theory arise naturally in the generalized complex world.
I also work on the nearby area called Poisson geometry whose origins lie in Hamiltonian dynamics in physics but which has a life of its own as a branch of differential geometry.
I am also a board member of the .
Since September 2021 I am one of the board members of (previously chair).