On the method of Coleman and Chabauty.
On the modular curve . (Sur la courbe modulaire .)
On the moduli of curves with theta-characteristics
On the moduli spaces of Gorenstein curves with symmetric Weierstrass semigroups.
On the Monodromy Group of Plane Curve Singularities.
On the monodromy of curve singularities.
On the monotonicity of the quotient of certain abelian integrals.
On the motives of moduli of chains and Higgs bundles
We take another approach to Hitchin’s strategy of computing the cohomology of moduli spaces of Higgs bundles by localization with respect to the circle action. Our computation is done in the dimensional completion of the Grothendieck ring of varieties and starts by describing the classes of moduli stacks of chains rather than their coarse moduli spaces. As an application we show that the -torsion of the Jacobian acts trivially on the middle dimensional cohomology of the moduli space of twisted...
On the necessity of Reidemeister move 2 for simplifying immersed planar curves
In 2001, motivated by his results on finite-type knot diagram invariants, Östlund conjectured that Reidemeister moves 1 and 3 are sufficient to describe a homotopy from any generic immersion S¹ → ℝ² to the standard embedding of the circle. We show that this conjecture is false.
On the Néron model of jacobians of Shimura curves
On the Noether-Lefschetz Theorem and Some Remarks on Codimension-two Cycles.
On the normal bundle of an exceptional curve in a higher dimensional algebraic manifold.
On the Normal Bundle of Curves on Complete Intersection Surfaces.
On the normal bundle of curves on smooth projective surfaces.
On the Normal Bundles of Rational Space Curves.
On the Normal Bundles of Smooth Rational Spaces Curves.
On the number of elliptic curves with CM cover large algebraic fields
Elliptic curves with CM unveil a new phenomenon in the theory of large algebraic fields. Rather than drawing a line between and or and they give an example where the line goes beween and and another one where the line goes between and .
On the number of ovals of a symmetry of a compact Riemann surfaces.
On the number of prime divisors of the order of elliptic curves modulo p
On the order of the automorphism group of a surface of general type.