The generalized Ricci flow is a geometric evolution equation which has recently emerged
from investigations into mathematical physics, Hitchin's generalized geometry program, and …

Motivated by the study of symplectic Lie algebroids, we focus on a type of algebroid (called
an E-tangent bundle) which is particularly well-suited to the study of singular differential …

We construct a first-order local model for Poisson manifolds around a large class of Poisson
submanifolds and give conditions under which this model is a local normal form. The …

We describe a procedure, called regularisation, that allows us to study geometric structures
on Lie algebroids via foliated geometric structures on manifolds of higher dimension. This …

Manifolds with boundary, with corners, b-manifolds and foliations model configuration
spaces for particles moving under constraints and can be described as E-manifolds. E …

We extend the notion of T-duality to manifolds endowed with non-principal torus actions. The
singularities of the torus action are controlled by a certain Lie algebroid, called the elliptic …

In this article, we introduce and study singular foliations of $ b^ k $-type. These singular
foliations formalize the properties of vector fields that are tangent to order $ k $ along a …

We extend the notion of (smooth) stable generalized complex structures to allow for an
anticanonical section with normal self-crossing singularities. This weakening not only allows …

In this thesis we study geometric structures from Poisson and generalized complex geometry
with mild singular behavior using Lie algebroids. The process of lifting such structures to …

Motivated by a search for Lie group structures on groups of Poisson diffeomorphisms, we
investigate linearizability of Poisson structures of Poisson groupoids around the unit section …