2026 Anand Pillay: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	41	1893	1652	806	657	286	7815

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

1893

1652

806

657

286

7815

Research.com Recognitions

2013 - Fellow of the American Mathematical Society

Overview

Anand Pillay is affiliated with the University of Notre Dame in the United States. Their research spans multiple fields in Mathematics and Computer Science, with a significant focus on Geometry and Topology, Mathematical Physics, and Computational Theory and Mathematics.

Within Mathematics, Pillay's work frequently addresses topics such as:

Advanced Topology and Set Theory
Algebraic Geometry and Number Theory
Homotopy and Cohomology in Algebraic Topology
Computability, Logic, AI Algorithms
Limits and Structures in Graph Theory
Rings, Modules, and Algebras
Mathematical Dynamics and Fractals

Some of the recent papers associated with their research include:

"Multi-experiment Parameter Identifiability of ODEs and Model Theory" (2022), published in the SIAM Journal on Applied Algebra and Geometry
"On the topological dynamics of automorphism groups: a model-theoretic perspective" (2022), published in Archive for Mathematical Logic
"Structure and regularity for subsets of groups with finite VC-dimension" (2021), published in Journal of the European Mathematical Society
"Relative internality and definable fibrations" (2023), published in Advances in Mathematics
"Generalized Picard-Vessiot extensions and differential Galois cohomology" (2020), published in Annales de la faculté des sciences de Toulouse Mathématiques

Frequent co-authors collaborating with Pillay include Gabriel Conant, Krzysztof Krupiński, Ehud Hrushovski, Alexey Ovchinnikov, and Gleb Pogudin.

The venues where Pillay has published most often are:

arXiv (Cornell University)
Journal of Symbolic Logic
Systems & Control Letters
Journal of Mathematical Logic
Annals of Pure and Applied Logic

In addition to research articles, Pillay has contributed to the academic community through book publishing. One such publication is Topics in Model Theory, published by World Scientific in 2021.

Anand Pillay has been recognized as a Fellow of the American Mathematical Society since 2013.

Best Publications

Geometric stability theory

Anand Pillay

641
Citations
DEFINABLE SETS IN ORDERED STRUCTURES. I

Anand Pillay;Charles Steinhorn

484
Citations
An Introduction to Stability Theory

Anand Pillay

265
Citations
Groups, measures, and the NIP

Ehud Hrushovski;Ya'acov Peterzil;Anand Pillay

263
Citations
On groups and fields definable in o-minimal structures

Anand Pillay

257
Citations
On NIP and invariant measures

Ehud Hrushovski;Anand Pillay

208
Citations
GENERIC STRUCTURES AND SIMPLE THEORIES

Zoé Chatzidakis;Anand Pillay

200
Citations
GROUPS DEFINABLE IN LOCAL FIELDS AND PSEUDO-FINITE FIELDS

Ehud Hrushovski;Ehud Hrushovski;Anand Pillay;Anand Pillay

190
Citations
Weakly Normal Groups

U. Hrushovski;A. Pillay

183
Citations
Coordinatisation and canonical bases in simple theories

Bradd Hart;Byunghan Kim;Anand Pillay

131
Citations
Definable sets in ordered structures

Anand Pillay;Charles Steinhorn

130
Citations
Model theory of fields

David Marker;Margit Messmer;Anand Pillay

130
Citations
Jet spaces of varieties over differential and difference fields

Anand Pillay;Anand Pillay;Martin Ziegler;Martin Ziegler

118
Citations
Definably simple groups in o-minimal structures

Y. Peterzil;A. Pillay;S. Starchenko

117
Citations
TYPE-DEFINABILITY, COMPACT LIE GROUPS, AND o-MINIMALITY

Anand Pillay

99
Citations
Hyperimaginaries and automorphism groups

Daniel Lascar;Anand Pillay

92
Citations
GALOIS GROUPS OF FIRST ORDER THEORIES

Enrique Casanovas;Daniel Lascar;Anand Pillay;Martin Ziegler

85
Citations
Lovely pairs of models

Itay Ben-Yaacov;Itay Ben-Yaacov;Anand Pillay;Evgueni Vassiliev

84
Citations
A Note on the Axioms for Differentially Closed Fields of Characteristic Zero

David Pierce;David Pierce;Anand Pillay;Anand Pillay

82
Citations
Countable models of stable theories

Anand Pillay

81
Citations
Model theory with applications to algebra and analysis

Zoé Chatzidakis;Dugald Macpherson;Anand Pillay;Alex Wilkie

39
Citations
Models of Peano Arithmetic

Anand Pillay

8
Citations

Frequent Co-Authors

Ehud Hrushovski University of Oxford

Samuel R. Buss University of California, San Diego

Alexander S. Kechris California Institute of Technology

Umberto Zannier Scuola Normale Superiore di Pisa

David Masser University of Basel

Lou van den Dries University of Illinois at Urbana-Champaign

Saharon Shelah Hebrew University of Jerusalem

Bjorn Poonen MIT

External Links

Personal website of Anand Pillay Google Scholar page

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