Anand Pillay - Publications

Affiliations: 
University of Illinois, Urbana-Champaign, Urbana-Champaign, IL 
Area:
Mathematics

92 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2016 Pillay A, Yao N. On minimal flows, definably amenable groups, and o-minimality Advances in Mathematics. 290: 483-502. DOI: 10.1016/J.Aim.2015.12.010  1
2015 Pillay A, Sklinos R. SATURATED FREE ALGEBRAS REVISITED Bulletin of Symbolic Logic. 21: 306-318. DOI: 10.1017/Bsl.2015.23  1
2015 Conversano A, Pillay A. Connected components of definable groups, and o-minimality II Annals of Pure and Applied Logic. 166: 836-849. DOI: 10.1016/J.Apal.2015.04.005  1
2014 Nagloo J, Pillay A. On the algebraic independence of generic Painlevé transcendents Compositio Mathematica. 150: 668-678. DOI: 10.1112/S0010437X13007525  1
2014 Moosa R, Pillay A. Some model theory of fibrations and algebraic reductions Selecta Mathematica. DOI: 10.1007/S00029-014-0150-1  1
2014 Pillay A. Some themes around first order theories without the independence property Lecture Notes in Mathematics. 2111: 13-33. DOI: 10.1007/978-3-642-54936-6__2  1
2013 Conversano A, Pillay A. On Levi subgroups and the Levi decomposition for groups definable in o-minimal structures Fundamenta Mathematicae. 222: 49-62. DOI: 10.4064/Fm222-1-3  1
2013 Pillay A. Topological dynamics and definable groups Journal of Symbolic Logic. 78: 657-666. DOI: 10.2178/Jsl.7802170  1
2013 Pillay A. Weight and measure in nip theories Notre Dame Journal of Formal Logic. 54: 567-578. DOI: 10.1215/00294527-2143871  1
2013 Conversano A, Pillay A. Connected components of groups and o-minimal expansions of real closed fields Electronic Notes in Discrete Mathematics. 43: 151-153. DOI: 10.1016/J.Endm.2013.07.025  1
2012 Moosa R, Pillay A. א 0-categorical strongly minimal compact complex manifolds Proceedings of the American Mathematical Society. 140: 1785-1801. DOI: 10.1090/S0002-9939-2011-11028-1  1
2012 Kowalski P, Pillay A. On the isotriviality of projective iterative ∂-varieties Journal of Pure and Applied Algebra. 216: 20-27. DOI: 10.1016/J.Jpaa.2011.02.020  1
2012 Conversano A, Pillay A. Connected components of definable groups and o-minimality I Advances in Mathematics. 231: 605-623. DOI: 10.1016/j.aim.2012.05.022  1
2011 Hrushovski E, Pillay A. On NIP and invariant measures Journal of the European Mathematical Society. 13: 1005-1061. DOI: 10.4171/Jems/274  1
2011 Kestner C, Pillay A. Remarks on unimodularity Journal of Symbolic Logic. 76: 1453-1458. DOI: 10.2178/Jsl/1318338860  1
2011 Pillay A. Stable embeddedness and NIP Journal of Symbolic Logic. 76: 665-672. DOI: 10.2178/Jsl/1305810769  1
2011 Krupiński K, Pillay A. On stable fields and weight Journal of the Institute of Mathematics of Jussieu. 10: 349-358. DOI: 10.1017/S1474748010000228  1
2010 Bertrand D, Pillay A. A Lindemann-Weierstrass theorem for semi-abelian varieties over function fields Journal of the American Mathematical Society. 23: 491-533. DOI: 10.1090/S0894-0347-09-00653-5  1
2009 Pillay A, Pong WY. Corrigendum to: "On lascar rank and morley rank of definable groups in differentially closed fields" Journal of Symbolic Logic. 74: 1436-1437. DOI: 10.2178/Jsl/1254748699  1
2009 Pillay A. On genericity and weight in the free group Proceedings of the American Mathematical Society. 137: 3911-3917. DOI: 10.1090/S0002-9939-09-09956-0  1
2009 Pillay A. A remark on multivalued algebraic groups Proceedings of the American Mathematical Society. 137: 2175-2180. DOI: 10.1090/S0002-9939-08-09745-1  1
2008 Moosa R, Pillay A. On canonical bases and internality criteria Illinois Journal of Mathematics. 52: 901-917. DOI: 10.1215/Ijm/1254403721  1
2008 Onshuus A, Pillay A. Definable groups and compact p-adic Lie groups Journal of the London Mathematical Society. 78: 233-247. DOI: 10.1112/Jlms/Jdn018  1
2008 Pillay A. On types of CB-rank 1 in simple theories Journal of the Institute of Mathematics of Jussieu. 7: 895-899. DOI: 10.1017/S147474800800025X  1
2008 Pillay A. Forking in the free group Journal of the Institute of Mathematics of Jussieu. 7: 375-389. DOI: 10.1017/S1474748008000066  1
2007 Peterzil Y, Pillay A. Generic sets in definably compact groups Fundamenta Mathematicae. 193: 153-170. DOI: 10.4064/Fm193-2-4  1
2007 Kowalski P, Pillay A. On algebraic σ-groups Transactions of the American Mathematical Society. 359: 1325-1337. DOI: 10.1090/S0002-9947-06-04312-1  1
2007 Pillay A. Imaginaries in pairs of algebraically closed fields Annals of Pure and Applied Logic. 146: 13-20. DOI: 10.1016/J.Apal.2006.11.002  1
2006 Pillay A, Polkowska D. On PAC and bounded substructures of a stable structure Journal of Symbolic Logic. 71: 460-472. DOI: 10.2178/Jsl/1146620152  1
2006 Kowalski P, Pillay A. Quantifier elimination for algebraic D-groups Transactions of the American Mathematical Society. 358: 167-181. DOI: 10.1090/S0002-9947-05-03820-1  1
2005 Pillay A, Vassiliev E. On lovely pairs and the (∃y ε P) quantifier Notre Dame Journal of Formal Logic. 46: 491-501. DOI: 10.1305/Ndjfl/1134397664  1
2004 Pillay A, Ziegler M. On a question of Herzog and Rothmaler Journal of Symbolic Logic. 69: 478-481. DOI: 10.2178/Jsl/1082418538  1
2004 Pillay A. Algebraic D-groups and differential Galois theory Pacific Journal of Mathematics. 216: 343-360. DOI: 10.2140/Pjm.2004.216.343  1
2004 Pillay A, Vassiliev E. Imaginaries in beautiful pairs Illinois Journal of Mathematics. 48: 759-768. DOI: 10.1215/Ijm/1258131051  1
2004 Pillay A. Mordell-Lang conjecture for function fields in characteristic zero, revisited Compositio Mathematica. 140: 64-68. DOI: 10.1112/S0010437X03000186  1
2004 Laskowski MC, Pillay A. Uncountable categoricity for gross models Proceedings of the American Mathematical Society. 132: 2733-2742. DOI: 10.1090/S0002-9939-04-07451-9  1
2003 Pillay A. On countable simple unidimensional theories Journal of Symbolic Logic. 68: 1377-1384. DOI: 10.2178/Jsl/1067620193  1
2003 Pillay A, Scanlon T. Meromorphic groups Transactions of the American Mathematical Society. 355: 3843-3859. DOI: 10.1090/S0002-9947-03-03383-X  1
2002 Pillay A. Model-theoretic consequences of a theorem of Campana and Fujiki Fundamenta Mathematicae. 174: 187-192. DOI: 10.4064/Fm174-2-3  1
2002 Pillay A, Pong WY. On Lascar rank and Morley rank of definable groups in differentially closed fields Journal of Symbolic Logic. 67: 1189-1196. DOI: 10.2178/Jsl/1190150158  1
2002 Pillay A, Schlatter MD. Some results on permutation group isomorphism and categoricity Journal of Symbolic Logic. 67: 910-914. DOI: 10.2178/Jsl/1190150138  1
2002 Kowalski P, Pillay A. A note on groups definable in difference fields Proceedings of the American Mathematical Society. 130: 205-212. DOI: 10.1090/S0002-9939-01-06004-X  1
2002 Pillay A, Scanlon T. Compact complex manifolds with the DOP and other properties Journal of Symbolic Logic. 67: 737-743.  1
2001 Kim B, Pillay A. Around stable forking Fundamenta Mathematicae. 170: 107-118. DOI: 10.4064/Fm170-1-6  1
2001 Pillay A. A note on existentially closed difference fields with algebraically closed fixed field Journal of Symbolic Logic. 66: 719-721. DOI: 10.2307/2695040  1
2001 Lascar D, Pillay A. Hyperimaginaries and automorphism groups Journal of Symbolic Logic. 66: 127-143. DOI: 10.2307/2694914  1
2000 Pillay A. A note on CM-triviality and the geometry of forking Journal of Symbolic Logic. 65: 474-480. DOI: 10.2307/2586549  1
2000 Baudisch A, Pillay A. A free pseudospace Journal of Symbolic Logic. 65: 443-460. DOI: 10.2307/2586547  1
2000 Hrushovski E, Pillay A. Effective bounds for the number of transcendental points on subvarieties of semi-abelian varieties American Journal of Mathematics. 122: 439-450. DOI: 10.1353/Ajm.2000.0020  1
2000 Kowalski P, Pillay A. Pro-algebraic and differential algebraic group structures on affine spaces American Journal of Mathematics. 122: 213-221. DOI: 10.1353/Ajm.2000.0004  1
2000 Kikyo H, Pillay A. The definable multiplicity property and generic automorphisms Annals of Pure and Applied Logic. 106: 263-273. DOI: 10.1016/S0168-0072(00)00024-5  1
1999 Lascar D, Pillay A. Forking and fundamental order in simple theories Journal of Symbolic Logic. 64: 1155-1158. DOI: 10.2307/2586623  1
1998 Kim B, Pillay A. From stability to simplicity Bulletin of Symbolic Logic. 4: 17-36. DOI: 10.2307/421004  1
1998 Pillay A. Definability and definable groups in simple theories Journal of Symbolic Logic. 63: 788-796. DOI: 10.2307/2586712  1
1998 Chatzidakis Z, Pillay A. Generic structures and simple theories Annals of Pure and Applied Logic. 95: 71-92. DOI: 10.1016/S0168-0072(98)00021-9  1
1998 Pierce D, Pillay A. A Note on the Axioms for Differentially Closed Fields of Characteristic Zero Journal of Algebra. 204: 108-115. DOI: 10.1006/Jabr.1997.7359  1
1997 Buium A, Pillay A. A gap theorem for abelian varieties over differential fields Mathematical Research Letters. 4: 211-219. DOI: 10.4310/Mrl.1997.V4.N2.A4  1
1997 Pillay A. Remarks on Galois cohomology and definability Journal of Symbolic Logic. 62: 487-492. DOI: 10.2307/2275542  1
1997 Pillay A. Some foundational questions concerning differential algebraic groups Pacific Journal of Mathematics. 179: 179-199. DOI: 10.2140/Pjm.1997.179.179  1
1997 Marker D, Pillay A. Differential galois theory III: Some inverse problems Illinois Journal of Mathematics. 41: 453-461. DOI: 10.1215/Ijm/1255985739  1
1997 Pillay A. Model theory and diophantine geometry Bulletin of the American Mathematical Society. 34: 405-422. DOI: 10.1090/S0273-0979-97-00730-1  1
1997 Pillay A. Differential Galois theory II Annals of Pure and Applied Logic. 88: 181-191. DOI: 10.1016/S0168-0072(97)00021-3  1
1997 Kim B, Pillay A. Simple theories Annals of Pure and Applied Logic. 88: 149-164.  1
1997 Pillay A, Tsuboi A. Amalgamations preserving א0-Categoricity Journal of Symbolic Logic. 62: 1070-1074.  1
1996 Pillay A. Definable sets in generic complex tori Annals of Pure and Applied Logic. 77: 75-80. DOI: 10.1016/0168-0072(95)00010-0  1
1995 Hrushovski E, Pillay A. Definable Subgroups of Algebraic Groups over Finite Fields Journal Fur Die Reine Und Angewandte Mathematik. 1995: 69-92. DOI: 10.1515/crll.1995.462.69  1
1994 Hodges W, Pillay A. Cohomology of Structures and Some Problems of Ahlbrandt and Ziegler Journal of the London Mathematical Society. 50: 1-16. DOI: 10.1112/Jlms/50.1.1  1
1994 Hrushovski E, Pillay A. Groups definable in local fields and pseudo-finite fields Israel Journal of Mathematics. 85: 203-262. DOI: 10.1007/Bf02758643  1
1993 Pillay A, Rothmaler P. Unidimensional modules: uniqueness of maximal non-modular submodels Annals of Pure and Applied Logic. 62: 175-181. DOI: 10.1016/0168-0072(93)90173-B  1
1992 Pillay A, Zeljko S. A remark on differential algebraic groups Communications in Algebra. 20: 3015-3026. DOI: 10.1080/00927879208824503  1
1992 Low LF, Pillay A. Superstable theories with few countable models Archive For Mathematical Logic. 31: 457-465. DOI: 10.1007/Bf01277487  1
1992 Pillay A. Countable models of 1-based theories Archive For Mathematical Logic. 31: 163-169. DOI: 10.1007/Bf01269944  1
1991 Nesin A, Pillay A, Razenj V. Groups of dimension two and three over o-minimal structures Annals of Pure and Applied Logic. 53: 279-296. DOI: 10.1016/0168-0072(91)90025-H  1
1990 Pillay A, Rothmaler P. Non-totally transcendental unidimensional theories Archive For Mathematical Logic. 30: 93-111. DOI: 10.1007/Bf01634980  1
1989 Baldwin JT, Pillay A. Semisimple stable and superstable groups Annals of Pure and Applied Logic. 45: 105-127. DOI: 10.1016/0168-0072(89)90056-0  1
1989 Pillay A. An application of model theory to real and p-adic algebraic groups Journal of Algebra. 126: 139-146. DOI: 10.1016/0021-8693(89)90323-2  1
1989 Pillay A. On fields definable in Qp Archive For Mathematical Logic. 29: 1-7. DOI: 10.1007/Bf01630806  1
1988 Pillay A, Steinhorn C. Definable sets in ordered structures. III Transactions of the American Mathematical Society. 309: 469-476. DOI: 10.1090/S0002-9947-1988-0943306-9  1
1988 Pillay A. On groups and fields definable in o-minimal structures Journal of Pure and Applied Algebra. 53: 239-255. DOI: 10.1016/0022-4049(88)90125-9  1
1987 Pillay A, Prest M. Modules and stability theory Transactions of the American Mathematical Society. 300: 640-662. DOI: 10.1090/S0002-9947-1987-0876470-X  1
1987 Hrushovski U, Pillay A. Weakly Normal Groups Studies in Logic and the Foundations of Mathematics. 122: 233-244. DOI: 10.1016/S0049-237X(09)70556-7  1
1987 Pillay A, Steinhorn C. Discrete o-minimal structures Annals of Pure and Applied Logic. 34: 275-289. DOI: 10.1016/0168-0072(87)90004-2  1
1986 Pillay A, Steinhorn C. Definable sets in ordered structures. I Transactions of the American Mathematical Society. 295: 565-592. DOI: 10.1090/S0002-9947-1986-0833697-X  1
1986 Kirby LAS, Pillay A. Weakly definable types Transactions of the American Mathematical Society. 295: 547-563. DOI: 10.1090/S0002-9947-1986-0833696-8  1
1986 Pillay A. Forking, normalization and canonical bases Annals of Pure and Applied Logic. 32: 61-81. DOI: 10.1016/0168-0072(86)90044-8  1
1986 Pillay A. Superstable groups of finite rank without pseudoplanes Annals of Pure and Applied Logic. 30: 95-101. DOI: 10.1016/0168-0072(86)90039-4  1
1984 Pillay A, Steinhorn C. Definable sets in ordered structures Bulletin of the American Mathematical Society. 11: 159-162. DOI: 10.1090/S0273-0979-1984-15249-2  1
1983 Pillay A, Prest M. Forking and pushouts in modules Proceedings of the London Mathematical Society. 365-384. DOI: 10.1112/Plms/S3-46.2.365  1
1983 Pillay A. Countable models of stable theories Proceedings of the American Mathematical Society. 89: 666-672. DOI: 10.1090/S0002-9939-1983-0718994-3  1
1983 Pillay A. A note on tight stable theorie Archiv FüR Mathematische Logik Und Grundlagenforschung. 23: 147-152. DOI: 10.1007/Bf02023021  1
1982 Pillay A. Weakly homogeneous models Proceedings of the American Mathematical Society. 86: 126-132. DOI: 10.1090/S0002-9939-1982-0663881-1  1
1980 Pillay A. Instability and theories with few models Proceedings of the American Mathematical Society. 80: 461-468. DOI: 10.1090/S0002-9939-1980-0581006-6  1
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