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We prove an analogue of Farb-Masur’s theorem that the lengthspectra metric on moduli space is “almost isometric” to a simple model V(S) which is induced by the cone metric over the complex of curves. ...
By a mathematical instanton of charge n, we understand a rank-2 algebraic vector bundle E on the 3-dimensional projective space P3 with Chern classes (1) c1(E) = 0, c2(E) = n, satisfying the vanishi...
We present the scalar moduli stabilization from the perspective of the real intrinsic geometry.
We use the framework of Quot schemes to give a novel description of the moduli spaces of stable n-pairs, also interpreted as gauged vortices on a closed Riemann surface  with target Matr×n(C), where ...
The moduli spaces of trigonal curves of odd genus g ≥ 5 are proven to be rational.
We show that the Brauer group of any moduli space of stable pairs with fixed determinant over a curve is zero.
Fix a prime number p. The aim of this paper is to define a complete moduli stack of degree-p covers Y → X, with Y a stable curve which is a G-torsor over X, for a suitable group scheme G/X. The curve ...
We study exact and asymptotic enumerative aspects of the Hilbert series of the cohomology ring of the moduli space of stable pointed curves of genus zero. This manifold is related to the WDVV (Witten...
In this note we look at the moduli space R3,2 of double covers of genus three curves, branched along 4 distinct points. This space was studied by Bardelli, Ciliberto and Verra in [BCV].

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