A spherical quadrilateral is a bordered surface homeomorphic to a closed disk, with four distinguished boundary points called corners, equipped with a Riemannian metric of constant curvature 1, except at the corners, and such that the boundary arcs between the corners are geodesic. We discuss the problem of classification of these quadrilaterals and perform the classification up to isometry in ...

A spherical quadrilateral is a bordered surface homeomorphic to a closed disk, with four distinguished boundary points called corners, equipped with a Riemannian metric of constant curvature 1, except at the corners, and such that the boundary arcs between the corners are geodesic. We discuss the problem of classification of these quadrilaterals and perform the classification up to isometry in ...

These are lecture notes, in progress, on monomial ideals. The point of view is that monomial ideals are best understood by drawing them and looking at their corners, and that a combinatorial duality satisfied by these corners, Alexander duality, is key to understanding the more algebraic duality theories at play in algebraic geometry and commutative algebra. Sections written so far cover Alexan...

Anurag A. Agrawal,* Jeffrey K. Conner and John R. Stinchcombe Department of Botany, University of Toronto, 25 Willcocks Street, Toronto, ON, Canada M5S 3B2 Kellogg Biological Station and Department of Plant Biology, Michigan State University, 3700 East Gull Lake Drive, Hickory Corners, MI 49060, USA Department of Ecology and Evolutionary Biology, Box G-W, Brown University, Providence, RI 02912,...

Abstract: Introduction: An extensive literature has demonstrated the benefits of active learning in medical education and revealed need for updating teaching methodologies. Active strategies consolidate theoretical knowledge, while simultaneously encouraging student´s concrete abilities. Nonetheless, remodeling pedagogical practice is challenging. Several are available selecting most suitable o...