Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Geometric Stability Theory

- A. Pillay
- Mathematics
- 1996

Introduction 1. Stability theory 2. The classical finite rank theory 3. Quasi finite axiomatizability 4. 1-based theories and groups 5. Groups and geometries 6. Unidimensional theories 7. Regular… Expand

387 23

Generic Structures and Simple Theories

- Zoé Chatzidakis, A. Pillay
- Mathematics, Computer Science
- Ann. Pure Appl. Log.
- 5 November 1998

TLDR

124 17- PDF

On groups and fields definable in o-minimal structures

- A. Pillay
- Mathematics
- 1 September 1988

The structure M = (M, <, R1, R2,…) is o-minimal if every definable set X ⊂ M is a finite union of intervals (a, b) and points. Let G be a group definable in M (i.e. G is a definable subset of Mn and… Expand

160 16- PDF

Groups, measures, and the NIP

- E. Hrushovski, Y. Peterzil, A. Pillay
- Mathematics
- 18 July 2006

We discuss measures, invariant measures on definable groups, and genericity, often in an NIP (failure of the independence property) environment. We complete the proof of the third author’s… Expand

172 12- PDF

Jet spaces of varieties over differential and difference fields

- A. Pillay, M. Ziegler
- Mathematics
- 1 December 2003

Abstract
We prove some new structural results on
finite-dimensional differential algebraic
varieties and difference algebraic varieties
in characteristic zero, using elementary
methods involving jet… Expand

74 12- PDF

DEFINABLE SETS IN ORDERED STRUCTURES. I

- A. Pillay, C. Steinhorn
- Mathematics
- 1 February 1986

This paper introduces and begins the study of a well-behaved class of linearly ordered structures, the ¢minimal structures. The definition of this class and the corresponding class of theories, the… Expand

293 11

Weakly normal groups

- U. Hrushovski, A. Pillay
- Mathematics, Computer Science
- Logic Colloquium
- 1985

TLDR

104 11

On NIP and invariant measures

- E. Hrushovski, A. Pillay
- Mathematics
- 11 October 2007

We study forking, Lascar strong types, Keisler measures and definable groups, under an assumption of NIP (not the independence property), continuing aspects of the paper [13]. Among key results are… Expand

150 11- PDF

Simple Theories

- Byunghan Kim, A. Pillay
- Computer Science
- Ann. Pure Appl. Log.
- 1997

TLDR

220 10- PDF

Model theory of fields

- D. Marker, M. Messmer, A. Pillay
- Mathematics
- 1 March 2017

The model theory of fields is an area for important interactions between mathematical, logical and classical mathematics. Recently, there have been major applications of model theoretic ideas to real… Expand

107 9

...

1

2

3

4

5

...