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We construct a natural smooth compacti cation of the space of smooth genus-one curves with k distinct points in a projective space. It can be viewed as an analogue of a well-known smooth compacti ca...
The moduli space of curves has proven itself a central object in geometry. The past decade has seen substantial progress in understanding the moduli space of curves, involving ideas, for example, fro...
We prove a localization formula for the moduli space of stable relative maps. As an application, we prove that all codimension i tautological classes on the moduli space of stable pointed curves van...
We prove a localization formula for the moduli space of stable relative maps. As an application, we prove that all codimension i tautological classes on the moduli space of stable pointed curves van...
Let X be an Artin stack with good moduli space X → M. We define the Reichstein transform of X relative to a closed substack C ⊂ X to be the complement of the strict transform of the saturation o...
Let X be an irreducible smooth complex projective curve of genus g ≥ 3. Fix a line bundle L on X. Let MSp(L) be the moduli space of symplectic bundles (E, ' : E ⊗ E → L) on X, with the symplecti...
We provide a sketch of the GIT construction of the moduli spaces for the three classes of connections: the class of meromorphic connections with fixed divisor of poles D and its subclasses of integrab...

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