Vector bundles and coherent systems on nodal curves

Higgs bundles and quaternionic geometry

Moduli spaces of locally homogeneous geometric structures

Bridgeland stability conditions and Fourier-Mukai transforms

Deligne-Hodge polynomials for SL(2,C)-character varieties of genus 1 and 2.

Derived equivalences of Azumaya algebras on K3 surfaces

Derived categories and rationality of conic bundles

Stability conditions for the local projective plane

Kahler-Einstein metrics and Geometric Invariant Theory

Introduction to moduli of varieties - IV: Surfaces of general type related to abelian varieties and hyperplane arrangements

Monopoles on the product of a surface and the circle

Vortices on Riemann Surfaces

Rank two Brill-Noether theory and the birational geometry of the moduli space of curves

Universal plane curve and moduli spaces of 1-dimensional coherent sheaves

Topology of moduli spaces of vector bundles on a real algebraic curve

Moduli of plane sheaves supported on curves of low multiplicity

Brill-Noether theory for vector bundles with fixed determinant

Geometric unitarity of the KZ/Hitchin connection on conformal blocks in genus 0

Refined curve counting on algebraic surfaces

Compactifications of reductive groups as moduli stacks of bundles