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Growth curves of the Morada Nova sheep males and females were described using nonlinear models and the relationships between body weight and thoracic circumference were evaluated. Altogether 1516 repe...
For smooth families of projective algebraic curves, we extend the notion of intersection pairing of metrized line bundles to a pairing on line bundles with flat relative connections. In this setting, ...
In this paper we consider questions of the following type. Let k be a base eld and K=k be a eld extension. Given a geometric object X over a eld K (e.g. a smooth curve of genus g) what is the le...
The classical principle of least action says that orbits of mechanical systems extremize action; an important subclass are those orbits that minimize action. In this paper we utilize this principle al...
Given an elliptic curve E over a number field k, the Galois action on the torsion points of E induces a Galois representation, ρE : Gal(k/k) → GL2(Z b). For a fixed number field k, we describe the ima...
Let E be an elliptic curve over the rationals that does not have complex multiplication. For each prime `, the action of the absolute Galois group on the `-torsion points of E can be given in terms of...
POSSIBLE INDICES FOR THE GALOIS IMAGE OF ELLIPTIC CURVES OVER.
In 1969, P. Deligne and D. Mumford compactified the modulispace of curves Mg,n. Their compactification Mg,n is a projective algebraic variety, and as such, it has an underlying analytic structure. Alt...
We introduce a technique for extending the classical method of Linear Discriminant Analysis to data sets where the predictor variables are curves or functions. This procedure, which we call functional...
We propose a simple method to assess the number of subpopulations in multivariate data by projecting the data on its principal curve and then applying Silverman’s bandwidth test to the resulting uni...
Dimensionless rating curves to estimate flows and stages of different return periods are investigated in this study for streams located in the Red River Basin of Minnesota and North Dakota, USA. Bankf...
We define the dimension 2g − 1 Faber-Hurwitz Chow/homology classes on the moduli space of curves, parametrizing curves expressible as branched covers of P 1 with given ramification...
We nd it interesting that such a natural naive approach as we will describe actually works, and yields a desingularization with these nice properties.
We discuss selected topics on the topology of moduli spaces of curves and maps, emphasizing their relationwith GromovWitten theory and integrable systems
We study the geometry of moduli spaces of genus 0 and 1 curves in Pn with speci ed contact with a hyperplane H. We compute intersection numbers on these spaces that correspond to the number of degre...

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