Thomas Brian Southwell

Polarizations Brian

If A is an abelian variety over a field, then to give a projective embedding of A is more or less to give an ample line bundle on A. Over C, such data can be expressed in terms of a positive-definite Riemann form on the homology lattice. Hence, we consider ample line bundles on general abelian varieties to be a “positivity” structure. In a sense that will be explained, just as we view abelian v...

2 Brian

In this paper the authors investigate infinite-dimensional representations L in blocks of the relative (parabolic) category OS for a complex simple Lie algebra, having the property that the cohomology of the nilradical with coefficients in L “looks like” the cohomology with coefficients in a finite-dimensional module, as in Kostant’s theorem. A complete classification of these “Kostant modules”...

Lisa Southwell Piagetian Techniques Piagetian Techniques in School Psychological Assessment

Jean Piaget, a biologist, philosopher, and most notably a developmental psychologist, had a profound impact upon many aspects of education. His work with Binet and Simon in 1919 sparked his interest in intellectual functioning. It is interesting that Piaget and his colleagues, Binet and Simon developed such different assessment procedures to measure aptitude and intelligence. The psychometric a...

Brian Zuckerman

Coherence Brian

A very rich and reliable bookie posts odds on a horse race. He values a contract which pays a pound of gold if Stewball wins at one ounce of gold. He values a contract which pays a pound of gold if Molly wins at one ounce of gold. He will buy or sell these contracts in any quantity at what he considers the fair price or better. Suppose that he also deals in contracts which pay a pound of gold i...