Surfaces in a background space and the homology of mapping class groups
Geometric positivity in the cohomology of homogeneous spaces and generalized Schubert calculus
The global geometry of the moduli space of curves
The Strominger-Yau-Zaslow conjecture: From torus fibrations to degenerations
Geometry of $\mathcal{A}_g$ and its compactifications
The global Torelli theorem: classical, derived, twisted
On the geometry of Deligne-Mumford stacks
Moduli spaces of sheaves and principal $G$-bundles
Notes on axiomatic Gromov-Witten theory and applications
Gromov-Witten theory, Hurwitz numbers, and matrix models
Symplectic homology as Hochschild homology
Higher and derived stacks: a global overview
Hodge-theoretic aspects of the decomposition theorem
Jet schemes and singularities
Multiple polylogarithms, polygons, trees and algebraic cycles
Geometry and topology of symplectic resolutions
Actions of $\mathbb{C}^*$ and $\mathbb{C}_+$ on affine algebraic varieties
Derived categories and birational geometry
$p$-adic cohomology
Subvarieties of moduli stacks of canonically polarized varieties: generalizations of Shafarevich's conjecture
Young person's guide to moduli of higher dimensional varieties
Seattle lectures on motivic integration
Differential graded Lie algebras and formal deformation theory
On Faltings' method of almost etale extensions
Weak approximation for hypersurfaces of low degree
Simple constructive weak factorization
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