The model-theoretic investigation of modules has led to ideas, techniques and results which
are of algebraic interest, irrespective of their model-theoretic significance. It is these aspects …

This dissertation is a collection of results in model theory, related in one way or another to
fields, NIP theories, and elimination of imaginaries. The most important result is a …

ONE-DIMENSIONAL ASYMPTOTIC CLASSES OF FINITE STRUCTURES 1. Introduction
Dimension theory, so-called, has become a pervasive them Page 1 TRANSACTIONS OF THE …

Let K 0 (Var k) be the Grothendieck ring of algebraic varieties over a field k. Let X, Y be two
algebraic varieties over k which are piecewise isomorphic (ie X and Y admit finite partitions …

We develop a general framework (multidimensional asymptotic classes, or macs) for
handling classes of finite first order structures with a strong uniformity condition on …

A weakly o-minimal structure M=(M,≤,+,…) expanding an ordered group (M,≤,+) is called
nonvaluational iff for every cut〈 C, D〉 of (M,≤) definable in M, we have that inf {y− x: x∈ C …

We give examples of (i) a simple theory with a formula (with parameters) which does not fork
over∅ but has μ-measure 0 for every automorphism invariant Keisler measure μ and (ii) a …

Given a-dimensional abelian variety over a finite field, the Weil conjectures imply that the
normalized Frobenius eigenvalues generate a multiplicative group of rank at most. The …

Nous donnons un aperçu des développements de la théorie des modèles des nombres p-
adiques depuis les travaux de Denef sur la rationalité de séries de Poincaré, par une revue …

This paper is devoted to o-minimalism, the study of the first-order properties of o-minimal
structures. The main protagonists are the pseudo-o-minimal structures, that is to say, the …