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ORCIDAnand Pillay
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- affiliation: University of Notre Dame, USA
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Books and Theses
- 1983
[b1]Anand Pillay:
Introduction to stability theory. Oxford logic guides 8, Clarendon Press 1983, ISBN 978-0-19-853186-9, pp. I-XI, 1-146
Journal Articles
- 2024
- [j103]Omar León Sánchez, David Meretzky, Anand Pillay:
More on Galois Cohomology, Definability, and differential Algebraic Groups. J. Symb. Log. 89(2): 496-515 (2024) - 2023
- [j102]Krzysztof Krupinski
, Anand Pillay:
On the topological dynamics of automorphism groups: a model-theoretic perspective. Arch. Math. Log. 62(3-4): 505-529 (2023) - [j101]Nicolas Chavarria, Anand Pillay:
On pp-elimination and stability in a continuous setting. Ann. Pure Appl. Log. 174(5): 103258 (2023) - [j100]Artem Chernikov, Ehud Hrushovski, Alex Kruckman, Krzysztof Krupinski, Slavko Moconja, Anand Pillay, Nicholas Ramsey:
Invariant measures in simple and in small theories. J. Math. Log. 23(2): 2250025:1-2250025:37 (2023) - [j99]Anand Pillay, Ningyuan Yao:
On Groups with Definable F-generics Definable in P-Adically closed Fields. J. Symb. Log. 88(4): 1334-1353 (2023) - [j98]Daniel Max Hoffmann, Anand Pillay:
Thorn Forking, Weak normality, and Theories with Selectors. J. Symb. Log. 88(4): 1354-1366 (2023) - 2022
- [j97]Alexey Ovchinnikov, Anand Pillay, Gleb Pogudin, Thomas Scanlon:
Multi-experiment Parameter Identifiability of ODEs and Model Theory. SIAM J. Appl. Algebra Geom. 6(3): 339-367 (2022) - 2021
- [j96]Gabriel Conant, Anand Pillay:
Pseudofinite groups and VC-dimension. J. Math. Log. 21(2): 2150009:1-2150009:23 (2021) - [j95]Anand Pillay:
Remarks on Purity of Methods. Notre Dame J. Formal Log. 62(1) (2021) - [j94]Alexey Ovchinnikov, Anand Pillay, Gleb Pogudin, Thomas Scanlon:
Computing all identifiable functions of parameters for ODE models. Syst. Control. Lett. 157: 105030 (2021) - 2020
- [j93]Anand Pillay:
Domination and Regularity. Bull. Symb. Log. 26(2): 103-117 (2020) - 2019
- [j92]Anand Pillay, Ningyuan Yao:
A note on groups definable in the p-adic field. Arch. Math. Log. 58(7-8): 1029-1034 (2019) - 2018
- [j91]Mike Haskel, Anand Pillay:
On Maximal stable Quotients of Definable Groups in NIP Theories. J. Symb. Log. 83(1): 117-122 (2018) - [j90]Karim Khanaki, Anand Pillay:
Remarks on the NIP in a model. Math. Log. Q. 64(6): 429-434 (2018) - 2017
- [j89]Omar León Sánchez, Anand Pillay:
Some Definable Galois Theory and Examples. Bull. Symb. Log. 23(2): 145-159 (2017) - [j88]Daniel Palacín, Anand Pillay:
On definable Galois groups and the strong canonical base property. J. Math. Log. 17(1): 1750002:1-1750002:10 (2017) - 2016
- [j87]Franck Benoist, Elisabeth Bouscaren, Anand Pillay:
On function field Mordell-Lang and Manin-Mumford. J. Math. Log. 16(1): 1650001:1-1650001:24 (2016) - 2015
- [j86]Annalisa Conversano, Anand Pillay:
Connected components of definable groups, and o-minimality II. Ann. Pure Appl. Log. 166(7-8): 836-849 (2015) - [j85]Anand Pillay, Rizos Sklinos:
Saturated Free Algebras Revisited. Bull. Symb. Log. 21(3): 306-318 (2015) - 2014
- [j84]Jakub Gismatullin, Davide Penazzi, Anand Pillay:
On compactifications and the topological dynamics of definable groups. Ann. Pure Appl. Log. 165(2): 552-562 (2014) - [j83]Artem Chernikov, Anand Pillay, Pierre Simon:
External definability and groups in NIP theories. J. Lond. Math. Soc. 90(1): 213-240 (2014) - [j82]Hans Adler, Enrique Casanovas, Anand Pillay:
Generic stability and stability. J. Symb. Log. 79(1): 179-185 (2014) - 2013
- [j81]Annalisa Conversano, Anand Pillay:
Connected components of groups and o-minimal expansions of real closed fields. Electron. Notes Discret. Math. 43: 151-153 (2013) - [j80]Krzysztof Krupinski, Anand Pillay, Slawomir Solecki:
Borel Equivalence Relations and Lascar Strong Types. J. Math. Log. 13(2): 1350008 (2013) - [j79]Anand Pillay:
Topological dynamics and definable groups. J. Symb. Log. 78(2): 657-666 (2013) - [j78]Anand Pillay:
Weight and Measure in NIP Theories. Notre Dame J. Formal Log. 54(3-4): 567-578 (2013) - 2012
- [j77]Ehud Hrushovski, Anand Pillay, Pierre Simon:
A Note on Generically Stable Measures and fsg Groups. Notre Dame J. Formal Log. 53(4): 599-605 (2012) - 2011
- [j76]Anand Pillay:
Stable embeddedness and NIP. J. Symb. Log. 76(2): 665-672 (2011) - [j75]Charlotte Kestner, Anand Pillay:
Remarks on unimodularity. J. Symb. Log. 76(4): 1453-1458 (2011) - 2009
- [j74]Anand Pillay, Wai Yan Pong:
Corrigendum to: "On Lascar rank and Morley rank of definable groups in differentially closed fields". J. Symb. Log. 74(4): 1436-1437 (2009) - 2008
- [j73]Clifton F. Ealy, Krzysztof Krupinski, Anand Pillay:
Superrosy dependent groups having finitely satisfiable generics. Ann. Pure Appl. Log. 151(1): 1-21 (2008) - [j72]S. Barry Cooper, Herman Geuvers, Anand Pillay, Jouko A. Väänänen:
Preface. Ann. Pure Appl. Log. 156(1): 1-2 (2008) - 2007
- [j71]Anand Pillay:
Imaginaries in pairs of algebraically closed fields. Ann. Pure Appl. Log. 146(1): 13-20 (2007) - 2006
- [j70]Anand Pillay, Dominika Polkowska:
On PAC and bounded substructures of a stable structure. J. Symb. Log. 71(2): 460-472 (2006) - 2005
- [j69]Alessandro Berarducci, Margarita Otero, Ya'acov Peterzil, Anand Pillay:
A descending chain condition for groups definable in o-minimal structures. Ann. Pure Appl. Log. 134(2-3): 303-313 (2005) - [j68]Anand Pillay, Evgueni Vassiliev:
On Lovely Pairs and the (∃ y ∈ P) Quantifier. Notre Dame J. Formal Log. 46(4): 491-501 (2005) - 2004
- [j67]Anand Pillay:
Type-Definability, Compact Lie Groups, and O-Minimality. J. Math. Log. 4(2) (2004) - [j66]Anand Pillay, Martin Ziegler:
On a question of Herzog and Rothmaler. J. Symb. Log. 69(2): 478-481 (2004) - 2003
- [j65]Itay Ben-Yaacov, Anand Pillay, Evgueni Vassiliev:
Lovely pairs of models. Ann. Pure Appl. Log. 122(1-3): 235-261 (2003) - [j64]Anand Pillay:
On countable simple unidimensional theories. J. Symb. Log. 68(4): 1377-1384 (2003) - [j63]Anand Pillay, Jin Wang:
Modified failure mode and effects analysis using approximate reasoning. Reliab. Eng. Syst. Saf. 79(1): 69-85 (2003) - 2002
- [j62]Anand Pillay, Thomas Scanlon:
Compact Complex Manifolds with The Dop and Other Properties. J. Symb. Log. 67(2): 737-743 (2002) - [j61]Anand Pillay, Mark D. Schlatter:
Some Results on Permutation Group Isomorphism and Categoricity. J. Symb. Log. 67(3): 910-914 (2002) - 2001
- [j60]Samuel R. Buss, Alexander S. Kechris, Anand Pillay, Richard A. Shore:
The prospects for mathematical logic in the twenty-first century. Bull. Symb. Log. 7(2): 169-196 (2001) - [j59]Enrique Casanovas, Daniel Lascar, Anand Pillay, Martin Ziegler:
Galois Groups of First order Theories. J. Math. Log. 1(2) (2001) - [j58]Daniel Lascar, Anand Pillay:
Hyperimaginaries and Automorphism Groups. J. Symb. Log. 66(1): 127-143 (2001) - [j57]Anand Pillay:
A Note on Existentially Closed Difference Fields with Algebraically Closed Fixed Field. J. Symb. Log. 66(2): 719-721 (2001) - 2000
- [j56]Hirotaka Kikyo, Anand Pillay:
The definable multiplicity property and generic automorphisms. Ann. Pure Appl. Log. 106(1-3): 263-273 (2000) - [j55]Bradd Hart, Byunghan Kim, Anand Pillay:
Coordinatisation and Canonical Bases in Simple Theories. J. Symb. Log. 65(1): 293-309 (2000) - [j54]Andreas Baudisch, Anand Pillay:
A Free Pseudospace. J. Symb. Log. 65(1): 443-460 (2000) - [j53]Anand Pillay:
A Note on CM-Triviality and The Geometry of Forking. J. Symb. Log. 65(1): 474-480 (2000) - 1999
- [j52]Daniel Lascar, Anand Pillay:
Forking and Fundamental Order in Simple Theories. J. Symb. Log. 64(3): 1155-1158 (1999) - 1998
- [j51]Zoé Chatzidakis, Anand Pillay:
Generic Structures and Simple Theories. Ann. Pure Appl. Log. 95(1-3): 71-92 (1998) - [j50]Byunghan Kim, Anand Pillay:
From stability to simplicity. Bull. Symb. Log. 4(1): 17-36 (1998) - [j49]Anand Pillay:
Definability and Definable Groups in Simple Theories. J. Symb. Log. 63(3): 788-796 (1998) - [j48]Koichiro Ikeda, Anand Pillay, Akito Tsuboi:
On Theories Having Three Countable Models. Math. Log. Q. 44: 161-166 (1998) - 1997
- [j47]Byunghan Kim, Anand Pillay:
Simple Theories. Ann. Pure Appl. Log. 88(2-3): 149-164 (1997) - [j46]Anand Pillay:
Differential Galois Theory II. Ann. Pure Appl. Log. 88(2-3): 181-191 (1997) - [j45]Anand Pillay:
Remarks on Galois Cohomology and Definability. J. Symb. Log. 62(2): 487-492 (1997) - [j44]Anand Pillay, Akito Tsuboi:
Amalgamations Preserving aleph0-Categoricity. J. Symb. Log. 62(4): 1070-1074 (1997) - 1996
- [j43]Anand Pillay:
Definable Sets in Generic Complex Tori. Ann. Pure Appl. Log. 77(1): 75-80 (1996) - 1995
- [j42]Bradd Hart, Anand Pillay, Sergei Starchenko:
1-based theories - the main gap fora-models. Arch. Math. Log. 34(5): 285-300 (1995) - [j41]Anand Pillay, Bruno Poizat:
Corps et Chirurgie. J. Symb. Log. 60(2): 528-533 (1995) - [j40]Anand Pillay:
The Geometry of Forking and Groups of Finite Morley Rank. J. Symb. Log. 60(4): 1251-1259 (1995) - 1994
- [j39]Anand Pillay:
Some Remarks on Nonmultidimensional Superstable Theories. J. Symb. Log. 59(1): 151-165 (1994) - [j38]Ambar Chowdhury, Anand Pillay:
On the Number of Models of Uncountable Theories. J. Symb. Log. 59(4): 1285-1300 (1994) - [j37]Anand Pillay:
Definability of Types, and Pairs of O-Minimal Structures. J. Symb. Log. 59(4): 1400-1409 (1994) - 1993
- [j36]Bradd Hart, Anand Pillay, Sergei Starchenko:
Triviality, NDOP and Stable Varieties. Ann. Pure Appl. Log. 62(2): 119-146 (1993) - [j35]Anand Pillay, Philipp Rothmaler:
Unidimensional Modules: Uniqueness of Maximal Non-Modular Submodels. Ann. Pure Appl. Log. 62(2): 175-181 (1993) - 1992
- [j34]Anand Pillay:
Countable models of 1-based theories. Arch. Math. Log. 31(3): 163-169 (1992) - [j33]Bernhard Herwig, James G. Loveys, Anand Pillay, Predrag Tanovic, O. Wagner:
Stable theories without dense forking chains. Arch. Math. Log. 31(5): 297-303 (1992) - [j32]Michael C. Laskowski, Anand Pillay, Philipp Rothmaler:
Tiny models of categorical theories. Arch. Math. Log. 31(6): 385-396 (1992) - [j31]Lee Fong Low, Anand Pillay:
Superstable theories with few countable models. Arch. Math. Log. 31(6): 457-465 (1992) - [j30]Anand Pillay, Zeljko Sokolovic:
Superstable Differential Fields. J. Symb. Log. 57(1): 97-108 (1992) - [j29]David Marker, Ya'acov Peterzil, Anand Pillay:
Additive Reducts of Real Closed Fields. J. Symb. Log. 57(1): 109-117 (1992) - 1991
- [j28]Ali Nesin, Anand Pillay, Vladimir Razenj:
Groups of Dimension Two and Three Over o-Minimal Structures. Ann. Pure Appl. Log. 53(3): 279-296 (1991) - [j27]Anand Pillay:
Some Remarks on Modular Regular Types. J. Symb. Log. 56(3): 1003-1011 (1991) - 1990
- [j26]Anand Pillay, Philipp Rothmaler:
Non-totally transcendental unidimensional theories. Arch. Math. Log. 30(2): 93-111 (1990) - [j25]Anand Pillay:
Differentially Algebraic Group Chunks. J. Symb. Log. 55(3): 1138-1142 (1990) - [j24]David Marker, Anand Pillay:
Reducts of (C, +, *) which Contain +. J. Symb. Log. 55(3): 1243-1251 (1990) - 1989
- [j23]Anand Pillay:
On fields definable inQp. Arch. Math. Log. 29(1): 1-7 (1989) - [j22]Anand Pillay:
Stable Theories, Pseudoplanes and the Number of Countable Models. Ann. Pure Appl. Log. 43(2): 147-160 (1989) - [j21]John T. Baldwin, Anand Pillay:
Semisimple Stable and Superstable Groups. Ann. Pure Appl. Log. 45(2): 105-127 (1989) - [j20]Anand Pillay:
A Note on Subgroups of the Automorphism Group of a Saturated Model, and Regular Types. J. Symb. Log. 54(3): 858-864 (1989) - 1988
- [j19]Anand Pillay:
Sheaves of Continuous Definable Functions. J. Symb. Log. 53(4): 1165-1169 (1988) - 1987
- [j18]Anand Pillay, Charles Steinhorn:
Discrete o-minimal structures. Ann. Pure Appl. Log. 34(3): 275-289 (1987) - [j17]Anand Pillay, Charles Steinhorn:
On Dedekind Complete O-Minimal Structures. J. Symb. Log. 52(1): 156-164 (1987) - [j16]Anand Pillay, Bruno Poizat:
Pas D'Imaginaires Dans L'Infini! J. Symb. Log. 52(2): 400-403 (1987) - [j15]Anand Pillay:
First Order Topological Structures and Theories. J. Symb. Log. 52(3): 763-778 (1987) - 1986
- [j14]Anand Pillay:
Superstable groups of finite rank without pseudoplanes. Ann. Pure Appl. Log. 30(1): 95-101 (1986) - [j13]Anand Pillay:
Forking, normalization and canonical bases. Ann. Pure Appl. Log. 32: 61-81 (1986) - [j12]Anand Pillay:
Some Remarks on Definable Equivalence Relations in O-Minimal Structures. J. Symb. Log. 51(3): 709-714 (1986) - 1985
- [j11]Anand Pillay, Charles Steinhorn:
A Note on Nonmultidimensional Superstable Theories. J. Symb. Log. 50(4): 1020-1024 (1985) - [j10]Anand Pillay, Saharon Shelah:
Classification theory over a predicate. I. Notre Dame J. Formal Log. 26(4): 361-376 (1985) - 1984
- [j9]Anand Pillay:
Regular Types in Nonmultidimensional omega-Stable Theories. J. Symb. Log. 49(3): 880-891 (1984) - [j8]Anand Pillay, Gabriel Srour:
Closed Sets and Chain Conditions in Stable Theories. J. Symb. Log. 49(4): 1350-1362 (1984) - 1983
- [j7]Anand Pillay:
A note on tight stable theorie. Arch. Math. Log. 23(1): 147-152 (1983) - [j6]Anand Pillay:
A Note on Finitely Generated Models. J. Symb. Log. 48(1): 163-166 (1983) - [j5]Anand Pillay:
ℵ0-categoricity over a predicate. Notre Dame J. Formal Log. 24(4): 527-536 (1983) - 1982
- [j4]Anand Pillay:
Dimension Theory and Homogeneity for Elementary Extensions of a Model. J. Symb. Log. 47(1): 147-160 (1982) - 1981
- [j3]Anand Pillay:
A Class of ℵ0-Categorical Theories. Math. Log. Q. 27(25-30): 411-418 (1981) - 1980
- [j2]Anand Pillay:
Theories with Exactly Three Countable Models and Theories with Algebraic Prime Models. J. Symb. Log. 45(2): 302-310 (1980) - 1978
- [j1]Anand Pillay:
Number of Countable Models. J. Symb. Log. 43(3): 492-496 (1978)
Conference and Workshop Papers
- 2023
- [c3]David Chiang, Peter Cholak, Anand Pillay:
Tighter Bounds on the Expressivity of Transformer Encoders. ICML 2023: 5544-5562 - 1989
- [c2]Ali Nesin, Anand Pillay:
Open Subgroups of GL2(Qp). Easter Conference on Model Theory 1989: 177-188 - 1985
- [c1]U. Hrushovski, Anand Pillay:
Weakly normal groups. Logic Colloquium 1985: 233-244
Informal and Other Publications
- 2023
- [i5]David Chiang, Peter Cholak, Anand Pillay:
Tighter Bounds on the Expressivity of Transformer Encoders. CoRR abs/2301.10743 (2023) - [i4]Alexey Ovchinnikov, Anand Pillay, Gleb Pogudin, Thomas Scanlon:
Identifiable specializations for ODE models. CoRR abs/2308.16273 (2023) - 2020
- [i3]Alexey Ovchinnikov, Anand Pillay, Gleb Pogudin, Thomas Scanlon:
Computing all identifiable functions for ODE models. CoRR abs/2004.07774 (2020) - [i2]Alexey Ovchinnikov, Anand Pillay, Gleb Pogudin, Thomas Scanlon:
Multi-experiment parameter identifiability of ODEs and model theory. CoRR abs/2011.10868 (2020) - 2002
- [i1]Samuel R. Buss, Alexander S. Kechris, Anand Pillay, Richard A. Shore:
The prospects for mathematical logic in the twenty-first century. CoRR cs.LO/0205003 (2002)
Coauthor Index
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