in The Quarterly Journal of Mathematics
March 1998; published online March 1998.
Journal Article. Subjects: pure mathematics. 0 words.
Assuming standard conjectures we show that there exist elliptic curves with Tate-Shafarevich group of order essentially as large as the square root of the conductor. We present some concrete...
in IMA Journal of Applied Mathematics
April 2006; published online April 2006.
Journal Article. Subjects: applied mathematics. 0 words.
A 1D model for the melting of polymers, assuming the polymer crystals take the form of lamellæ or thin sheets of material, is discussed. The model is derived on the assumption that the...
A 2D constrained mixture model for arterial adaptations to large changes in flow, pressure and axial stretch
in Mathematical Medicine and Biology: A Journal of the IMA
December 2005; published online December 2005.
Journal Article. Subjects: applied mathematics; biomathematics. 0 words.
Soft tissue growth and remodelling (G&R) are achieved through highly complex, temporally regulated mechanisms that lead to the adaptation of structurally significant cells and extracellular...
A 60 million dollar statistical issue arising in the interpretation and calculation of a measure of relative disparity: Zuni Public School District 89 v. U.S. Department of Education
in Law, Probability and Risk
March 2006; published online January 2007.
Journal Article. Subjects: probability and statistics; law. 16829 words.
In 1994, the U.S. Congress rewrote the statute providing educational funds to towns and cities of the nation where the federal government owns substantial amounts of land, which cannot be...