We use wall-crossing with respect to Bridgeland stability conditions to systematically study
the birational geometry of a moduli space MM of stable sheaves on a K3 surface XX:(a) We …

We construct a family of nef divisor classes on every moduli space of stable complexes in
the sense of Bridgeland. This divisor class varies naturally with the Bridgeland stability …

In these lecture notes we give an introduction to Bridgeland stability conditions on smooth
complex projective varieties with a particular focus on the case of surfaces. This includes …

Bridgeland’s stability and the positive cone of the moduli spaces of stable objects on an
abelian surface. Page 1 Advanced Studies in Pure Mathematics 69, 2016 Development of …

We show that a purely algebraic structure, a two-dimensional scattering diagram, describes
a large part of the wall-crossing behavior of moduli spaces of Bridgeland semistable objects …

In this paper we show that the moduli stacks of Bridgeland semistable objects on smooth
projective 3-folds are quasi-proper algebraic stacks of finite type if they satisfy the …

We survey some recent progress on the deformed Hermitian-Yang-Mills (dHYM) equation.
We discuss the role of geometric invariant theory (GIT) in approaching the solvability of the …

A generalized Bogomolov–Gieseker inequality for tilt-stable complexes on a smooth
projective threefold was conjectured by Bayer, Toda, and the author. We show that such …

Let ξ be the Chern character of a stable coherent sheaf on P2. We compute the cone of
effective divisors on the moduli space M (ξ) of semistable sheaves on P2 with Chern …

We study the birational geometry of moduli spaces of semistable sheaves on the projective
plane via Bridgeland stability conditions. We show that the entire MMP of their moduli …