: Maya Archaeologist . J. Eric S. Thompson.

Hindman ’ S Theorem , Ellis ’ S Lemma , and Thompson ’ S Group

The purpose of this article is to formulate conjectural generalizations of Hindman’s Theorem and Ellis’s Lemma for nonassociative binary systems and relate them to the amenability problem for Thompson’s group F . Partial results are obtained for both conjectures. The paper will also contain some general analysis of the conjectures. Mathematics Subject Classification (2010): 03E02, 03E50, 05D10,...

John J . O ' Shea , and Eric

Ingestion of opsonized foreign particles by phagocytic cells is a critical event in host defense against invading microorganisms, and factors that influence the rate and extent of phagocytosis are of particular interest. Fibronectin, a molecule found both in plasma and as a component of extracellular matrix, binds to phagocytic cells and enhances opsonin-mediated phagocytosis by monocytes, macr...

Convexity Properties of Thompson ’ S Group F

We prove that Thompson's group F is not minimally almost convex with respect to any generating set which is a subset of the standard infinite generating set for F and which contains x1. We use this to show that F is not almost convex with respect to any generating set which is a subset of the standard infinite generating set, generalizing results in [HST].

Chapter 11 Eric S . Maskin BIOGRAPHY

On the Conjectures of J. Thompson and O. Ore

If G is a finite simple group of Lie type over a field containing more than 8 elements (for twisted groups Xn(q) we require q > 8, except for B2(q), G2(q), and F4(q), where we assume q2 > 8), then G is the square of some conjugacy class and consequently every element in G is a commutator.