Anand Pillay

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Some Remarks on Modular Regular Types

Anand Pillay, 1991, J. Symb. Log..

A Note on Existentially Closed Difference Fields with Algebraically Closed Fixed Field

Anand Pillay, 2001, J. Symb. Log..

Remarks on the NIP in a model

Anand Pillay, Karim Khanaki, A. Pillay, 2017, Math. Log. Q..

Tiny models of categorical theories

Philipp Rothmaler, Michael C. Laskowski, Anand Pillay, 1992, Arch. Math. Log..

Number of Countable Models

Anand Pillay, 1978, J. Symb. Log..

Generic Structures and Simple Theories

Anand Pillay, Zoé Chatzidakis, A. Pillay, 1998, Ann. Pure Appl. Log..

Stable Theories, Pseudoplanes and the Number of Countable Models

Anand Pillay, 1989, Ann. Pure Appl. Log..

Definability and definable groups in simple theories

Anand Pillay, A. Pillay, 1998, Journal of Symbolic Logic.

A Note on Finitely Generated Models

Anand Pillay, 1983, J. Symb. Log..

Hyperimaginaries and automorphism groups

Anand Pillay, Daniel Lascar, D. Lascar, 2001, Journal of Symbolic Logic.

A Note on Generically Stable Measures and fsg Groups

Ehud Hrushovski, Anand Pillay, Pierre Simon, 2011, Notre Dame J. Formal Log..

On Theories Having Three Countable Models

Akito Tsuboi, Koichiro Ikeda, Anand Pillay, 1998, Math. Log. Q..

Remarks on unimodularity

Anand Pillay, Charlotte Kestner, 2011, J. Symb. Log..

On Lascar rank and Morley rank of definable groups in differentially closed fields

Anand Pillay, Wai Yan Pong, A. Pillay, 2002, Journal of Symbolic Logic.

Remarks on Galois Cohomology and Definability

Anand Pillay, 1997, J. Symb. Log..

Forking and Fundamental Order in Simple Theories

Anand Pillay, Daniel Lascar, 1999, J. Symb. Log..

Some Remarks on Definable Equivalence Relations in O-Minimal Structures

Anand Pillay, 1986, J. Symb. Log..

A Note on CM-Triviality and The Geometry of Forking

Anand Pillay, 2000, J. Symb. Log..

On countable simple unidimensional theories

Anand Pillay, 2003, J. Symb. Log..

A note on tight stable theorie

Anand Pillay, 1983, Arch. Math. Log..

Open Subgroups of GL2(Qp)

Anand Pillay, Ali Nesin, 1989, Easter Conference on Model Theory.

Definability of Types, and Pairs of O-Minimal Structures

Anand Pillay, 1994, J. Symb. Log..

Discrete o-minimal structures

Anand Pillay, Charles Steinhorn, 1987, Ann. Pure Appl. Log..

Coordinatisation and canonical bases in simple theories

Anand Pillay, Bradd Hart, Byunghan Kim, 2000, Journal of Symbolic Logic.

Pas D'Imaginaires Dans L'Infini!

Bruno Poizat, Anand Pillay, 1987, J. Symb. Log..

On Maximal stable Quotients of Definable Groups in NIP Theories

Anand Pillay, Mike Haskel, 2018, J. Symb. Log..

A note on groups definable in the p-adic field

Anand Pillay, Ningyuan Yao, 2019, Arch. Math. Log..

The definable multiplicity property and generic automorphisms

Hirotaka Kikyo, Anand Pillay, 2000, Ann. Pure Appl. Log..

Classification theory over a predicate. I

Saharon Shelah, Anand Pillay, 1985, Notre Dame J. Formal Log..

Amalgamations Preserving aleph0-Categoricity

Akito Tsuboi, Anand Pillay, 1997, J. Symb. Log..

Weight and Measure in NIP Theories

Anand Pillay, 2013, Notre Dame J. Formal Log..

Imaginaries in pairs of algebraically closed fields

Anand Pillay, 2007, Ann. Pure Appl. Log..

A Note on Subgroups of the Automorphism Group of a Saturated Model, and Regular Types

Anand Pillay, 1989, J. Symb. Log..

A Class of ℵ0-Categorical Theories

Anand Pillay, 1981, Math. Log. Q..

SOME DEFINABLE GALOIS THEORY AND EXAMPLES

Anand Pillay, Omar Leon Sanchez, A. Pillay, 2015, The Bulletin of Symbolic Logic.

Connected components of definable groups, and o-minimality II

Annalisa Conversano, Anand Pillay, 2015, Ann. Pure Appl. Log..

Unidimensional Modules: Uniqueness of Maximal Non-Modular Submodels

Philipp Rothmaler, Anand Pillay, 1993, Ann. Pure Appl. Log..

On fields definable inQp

Anand Pillay, A. Pillay, 1989, Arch. Math. Log..

The Geometry of Forking and Groups of Finite Morley Rank

Anand Pillay, 1995, J. Symb. Log..

Additive reducts of real closed fields

Ya'acov Peterzil, Anand Pillay, David Marker, 1992, Journal of Symbolic Logic (JSL).

On a question of Herzog and Rothmaler

Anand Pillay, Martin Ziegler, 2004, J. Symb. Log..

Saturated Free Algebras Revisited

Rizos Sklinos, Anand Pillay, 2015, Bull. Symb. Log..

Technology and Safety of Marine Systems

Jin Wang, Anand Pillay, A. Pillay, 2003 .

On function field Mordell-Lang and Manin-Mumford

Anand Pillay, Elisabeth Bouscaren, Franck Benoist, 2014, J. Math. Log..

Forking, normalization and canonical bases

Anand Pillay, 1986, Ann. Pure Appl. Log..

Closed Sets and Chain Conditions in Stable Theories

Anand Pillay, Gabriel Srour, 1984, J. Symb. Log..

Lovely pairs of models

Itay Ben-Yaacov, Evgueni Vassiliev, Anand Pillay, 2003, Ann. Pure Appl. Log..

1-based theories — the main gap fora-models

Anand Pillay, Sergei Starchenko, Bradd Hart, 1995, Arch. Math. Log..

Semisimple Stable and Superstable Groups

John T. Baldwin, Anand Pillay, 1989, Ann. Pure Appl. Log..

Formal safety assessment of fishing vessels

Anand Pillay, 2002 .

Triviality, NDOP and Stable Varieties

Anand Pillay, Sergei Starchenko, Bradd Hart, 1993, Ann. Pure Appl. Log..

Stable theories without dense forking chains

Anand Pillay, Predrag Tanovic, Bernhard Herwig, 1992, Arch. Math. Log..

Computing all identifiable functions of parameters for ODE models pdf

Gleb Pogudin, Anand Pillay, Alexey Ovchinnikov, 2020, Syst. Control. Lett..

First Order Topological Structures and Theories

Anand Pillay, 1987, J. Symb. Log..

Differential Galois Theory II

Anand Pillay, A. Pillay, 1997, Ann. Pure Appl. Log..

A Free Pseudospace

Andreas Baudisch, Anand Pillay, 2000, J. Symb. Log..

Introduction to stability theory

Anand Pillay, A. Pillay, 1983, Oxford logic guides.

On the Number of Models of Uncountable Theories

Anand Pillay, Ambar Chowdhury, 1994, J. Symb. Log..

Groups of Dimension Two and Three Over o-Minimal Structures

Anand Pillay, Ali Nesin, Vladimir Razenj, 1991, Ann. Pure Appl. Log..

Theories with Exactly Three Countable Models and Theories with Algebraic Prime Models

Anand Pillay, 1980, J. Symb. Log..

Differentially Algebraic Group Chunks

Anand Pillay, 1990, J. Symb. Log..

Dimension theory and homogeneity for elementary extensions of a model

Anand Pillay, A. Pillay, 1982, Journal of Symbolic Logic.

A Note on Nonmultidimensional Superstable Theories

Anand Pillay, Charles Steinhorn, 1985, J. Symb. Log..

Countable models of 1-based theories

Anand Pillay, 1992, Arch. Math. Log..

Superrosy dependent groups having finitely satisfiable generics

Anand Pillay, Krzysztof Krupinski, Clifton F. Ealy, 2008, Ann. Pure Appl. Log..

Definable Sets in Generic Complex Tori

Anand Pillay, 1996, Ann. Pure Appl. Log..

Generic stability and stability

Anand Pillay, Enrique Casanovas, Hans Adler, 2014, J. Symb. Log..

Model Theory with Applications to Algebra and Analysis: Preface

Anand Pillay, Dugald Macpherson, Zoé Chatzidakis, 2008 .

Some remarks on nonmultidimensional superstable theories

Anand Pillay, A. Pillay, 1994, Journal of Symbolic Logic.

Simple Theories

Anand Pillay, Byunghan Kim, A. Pillay, 1997, Ann. Pure Appl. Log..

Galois Groups of First order Theories

Anand Pillay, Martin Ziegler, Enrique Casanovas, 2001, J. Math. Log..

Borel Equivalence Relations and Lascar Strong Types

Anand Pillay, Krzysztof Krupinski, Slawomir Solecki, 2013, J. Math. Log..

Compact Complex Manifolds with The Dop and Other Properties

Thomas Scanlon, Anand Pillay, 2002, J. Symb. Log..

Multi-experiment parameter identifiability of ODEs and model theory pdf

Gleb Pogudin, Anand Pillay, Alexey Ovchinnikov, 2020, ArXiv.

Stability Theoretic Methods in Unstable Theories

Thomas Scanlon, Alf Onshuus, Frank O. Wagner, 2009 .

Preface

Herman Geuvers, S. Barry Cooper, Jouko A. Väänänen, 1999, Ann. Pure Appl. Log..

Reducts of (C, +, *) which Contain +

Anand Pillay, David Marker, 1990, J. Symb. Log..

Some Results on Permutation Group Isomorphism and Categoricity

Anand Pillay, Mark D. Schlatter, 2002, J. Symb. Log..

The Prospects for Mathematical Logic in the Twenty-First Century

Samuel R. Buss, Richard A. Shore, Anand Pillay, 2001, Bulletin of Symbolic Logic.

Downtime Optimization for Fishing Vessel Equipment Using Delay Time Analysis

Jin Wang, Anand Pillay, Gi Mun Jung, 2001 .

Sheaves of Continuous Definable Functions

Anand Pillay, 1988, J. Symb. Log..

On Dedekind Complete O-Minimal Structures

Anand Pillay, Charles Steinhorn, 1987, J. Symb. Log..

Logic Colloquium 2006: Introduction

Herman Geuvers, S. Barry Cooper, Anand Pillay, 2009 .

Weakly normal groups

Anand Pillay, U. Hrushovski, A. Pillay, 1985, Logic Colloquium.

Topological dynamics and definable groups

Anand Pillay, A. Pillay, 2012, Journal of Symbolic Logic (JSL).

On Lovely Pairs and the (∃ y ∈ P) Quantifier

Evgueni Vassiliev, Anand Pillay, 2005, Notre Dame J. Formal Log..

On PAC and bounded substructures of a stable structure

Anand Pillay, Dominika Polkowska, 2006, J. Symb. Log..

Modified failure mode and effects analysis using approximate reasoning

Jin Wang, Anand Pillay, A. Pillay, 2003, Reliab. Eng. Syst. Saf..

Corps et chirurgie

Bruno Poizat, Anand Pillay, B. Poizat, 1995, Journal of Symbolic Logic.

Superstable Differential Fields

Anand Pillay, Zeljko Sokolovic, 1992, J. Symb. Log..

Superstable theories with few countable models

Anand Pillay, Lee Fong Low, 1992, Arch. Math. Log..

Regular Types in Nonmultidimensional omega-Stable Theories

Anand Pillay, 1984, J. Symb. Log..

Type-Definability, Compact Lie Groups, and O-Minimality

Anand Pillay, A. Pillay, 2004, J. Math. Log..

Non-totally transcendental unidimensional theories

Philipp Rothmaler, Anand Pillay, 1990, Arch. Math. Log..

On compactifications and the topological dynamics of definable groups

Anand Pillay, Davide Penazzi, Jakub Gismatullin, 2012, Ann. Pure Appl. Log..

Pipeline Risk Mitigation Study

Anand Pillay, 2002 .

Superstable groups of finite rank without pseudoplanes

Anand Pillay, 1986, Ann. Pure Appl. Log..

On definable Galois groups and the strong canonical base property

Anand Pillay, Daniel Palacín, 2017, J. Math. Log..

ℵ0-categoricity over a predicate

Anand Pillay, A. Pillay, 1983, Notre Dame J. Formal Log..

From stability to simplicity

Anand Pillay, Byunghan Kim, 1998, Bull. Symb. Log..

Logic Colloquium 2006

Herman Geuvers, Anand Pillay, Jouko Väänänen, 2009 .

Stable embeddedness and NIP

Anand Pillay, 2011, J. Symb. Log..

Connected components of groups and o-minimal expansions of real closed fields

Annalisa Conversano, Anand Pillay, A. Pillay, 2013, Electron. Notes Discret. Math..

External definability and groups in NIP theories

Anand Pillay, Pierre Simon, Artem Chernikov, 2013, J. Lond. Math. Soc..

A descending chain condition for groups definable in o-minimal structures

Ya'acov Peterzil, Anand Pillay, Alessandro Berarducci, 2005, Ann. Pure Appl. Log..

Model Theory and Groups

Anand Pillay, A. Pillay, 2021, 2109.03911.

Invariant measures in simple and in small theories

Ehud Hrushovski, Alex Kruckman, Anand Pillay, 2021 .

Amenability, connected components, and definable actions

Ehud Hrushovski, Anand Pillay, Krzysztof Krupinski, 2021, Selecta Mathematica.

Pseudofinite groups and VC-dimension

Anand Pillay, Gabriel Conant, 2021, J. Math. Log..

More on Galois cohomology, definability and differential algebraic groups

Anand Pillay, David Meretzky, Omar Leon Sanchez, 2021 .

1 Model theory and groups

Anand Pillay, 2021 .

On pp elimination and stability in a continuous setting

Anand Pillay, Nicolas Chavarria Gomez, 2021 .

Continuous stable regularity

Anand Pillay, Gabriel Conant, Nicolas Chavarria, 2021 .

On externally definable sets and a theorem of Shelah

Anand Pillay, 2006 .

Forking in the category of existentially closed structures

Anand Pillay, A. Pillay, 2000 .

Differential Algebraic Groups and the Number of Countable Differentially Closed Fields

Anand Pillay, David Marker, Margit Messmer, 2005 .

The model-theoretic content of Lang’s conjecture

Anand Pillay, A. Pillay, 1998 .

Differential Galois theory III: Some inverse problems

Anand Pillay, David Marker, D. Marker, 1997 .

Between Groups and rings

Anand Pillay, Charles Steinhorn, A. Pillay, 1989 .

Model theory of fields

Anand Pillay, David Marker, Margit Messmer, 1996 .

Generically stable and smooth measures in NIP theories

Ehud Hrushovski, Anand Pillay, Pierre Simon, 2010, 1002.4763.

Simple algebraic and semialge-braic groups over real-closed elds

Ya'acov Peterzil, Anand Pillay, Sergei Starchenko, 2000 .

Model Theory of Fields: Lecture Notes in Logic 5, Second Edition

Anand Pillay, David Marker, Margit Messmer, 2005 .

Countable models of stable theories

Anand Pillay, 1983 .

Partition properties and definable types in Peano Arithmetic

Anand Pillay, 1981 .

A Lindemann-Weierstrass theorem for semi-abelian varieties over function fields

Anand Pillay, A. Pillay, D. Bertrand, 2008, 0810.0383.

Some model theory of compact Lie groups

Anand Pillay, Ali Nesin, A. Pillay, 1991 .

Simple superstable theories

Anand Pillay, 1987 .

Remarks on algebraic D-varieties and the model theory of differential fields

Ali Enayat, Anand Pillay, Mojtaba Moniri, 2016 .

Algebraic D-groups and differential Galois theory

Anand Pillay, A. Pillay, 2004 .

Meromorphic Groups

Anand Pillay, Thomas Scanlon, 2000 .

Mordell–Lang conjecture for function fields in characteristic zero, revisited

Anand Pillay, A. Pillay, 2004, Compositio Mathematica.

A survey of asymptotic classes and measurable structures

Anand Pillay, Dugald Macpherson, Zoé Chatzidakis, 2008 .

Model theory with applications to algebra and analysis

Anand Pillay, Dugald Macpherson, Zoé Chatzidakis, 2008 .

On the canonical base property

Ehud Hrushovski, Anand Pillay, Daniel Palacín, 2012, 1205.5981.

Instability and theories with few models

Anand Pillay, 1980 .

On groups and fields definable in o-minimal structures

Anand Pillay, A. Pillay, 1988 .

Galois theory, functional Lindemann-Weierstrass, and Manin maps.

Anand Pillay, Daniel Bertrand, 2015 .

Models, Logics, and Higher-dimensional Categories: A Tribute to the Work of Mihaly Makkai

Philip J. Scott, Anand Pillay, T. G. Kucera, 2011 .

Bodies and surgery

Bruno Poizat, Anand Pillay, 1995 .

SUPERSTRONG IS STRONG ENOUGH

Frank O. Wagner, Anand Pillay, Steven Buechler, 1998 .

Embedded Picard–Vessiot extensions

Anand Pillay, Quentin Brouette, Francoise Point, 2017 .

Weakly homogeneous models

Anand Pillay, 1982 .

Forking and Pushouts in Modules

Anand Pillay, Mike Prest, 1983 .

Modules and stability theory

Anand Pillay, Mike Prest, A. Pillay, 1987 .

On NIP and invariant measures

Ehud Hrushovski, Anand Pillay, A. Pillay, 2007, 0710.2330.

Quantifier elimination for algebraic $D$-groups

Anand Pillay, Piotr Kowalski, A. Pillay, 2005 .

Around stable forking

Anand Pillay, Byunghan Kim, 2001 .

On central extensions and definably compact groups in o-minimal structures

Ya'acov Peterzil, Ehud Hrushovski, Anand Pillay, 2008 .

Connected components of definable groups and o-minimality I

Annalisa Conversano, Anand Pillay, A. Pillay, 2011 .

Elliptic and Hyperelliptic Curves Over Supersimple Fields

Anand Pillay, Amador Martin-Pizarro, A. Pillay, 2004 .

Notes on model companions of stable theories with an automorphism

Anand Pillay, 2001 .

Amalgamations preserving ℵ1-categoricity

Akito Tsuboi, Anand Pillay, 1997 .

Model theory of algebraically closed fields

Anand Pillay, A. Pillay, 1998 .

A Note on the Axioms for Differentially Closed Fields of Characteristic Zero

Anand Pillay, David Pierce, 1998 .

Some foundational questions concerning differential algebraic groups

Anand Pillay, A. Pillay, 1997 .

Supersimple fields and division rings

Anand Pillay, Frank Wagner, Thomas Scanlon, 1998 .

Differential Galois theory I

Anand Pillay, A. Pillay, 1998 .

SEMIABELIAN VARIETIES OVER SEPARABLY CLOSED FIELDS, MAXIMAL DIVISIBLE SUBGROUPS, AND EXACT SEQUENCES

Anand Pillay, Elisabeth Bouscaren, Franck Benoist, 2009, Journal of the Institute of Mathematics of Jussieu.

Classifi cation over a predicate II

Saharon Shelah, Anand Pillay, S. Shelah, 1985 .

Introduction to the Model Theory of Fields

Anand Pillay, David Marker, Margit Messmer, 1996 .

Groups definable in local fields and pseudo-finite fields

Ehud Hrushovski, Anand Pillay, A. Pillay, 1994 .

Interpretations and differential Galois extensions

Anand Pillay, Moshe Kamensky, 2014 .

Some model theory of separably closed fields

Anand Pillay, David Marker, Margit Messmer, 1996 .

Definable groups and compact p-adic Lie groups

Alf Onshuus, Anand Pillay, 2008 .

Jet spaces of varieties over differential and difference fields

Martin Ziegler, Anand Pillay, M. Ziegler, 2003 .

On stable fields and weight

Anand Pillay, Krzysztof Krupinski, A. Pillay, 2009, Journal of the Institute of Mathematics of Jussieu.

Generic stability, regularity, and quasi-minimality

Anand Pillay, Predrag Tanovic, 2009 .

Some model theory of compact complex spaces

Anand Pillay, A. Pillay, 2000 .

The Model theory of groups

Anand Pillay, Ali Nesin, 1989 .

Groups, measures, and the NIP

Ya'acov Peterzil, Ehud Hrushovski, Anand Pillay, 2006 .

On algebraic relations between solutions of a generic Painleve equation

Anand Pillay, A. Pillay, Ronnie Nagloo, 2011, 1112.2916.

Minimal types in simple theories

Anand Pillay, 2006 .

Model-theoretic consequences of a theorem of Campana and Fujiki

Anand Pillay, 2002 .

A group in a group

Bruno Poizat, Anand Pillay, David M. Evans, 1990 .