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Author ID: zilber.boris-i Recent zbMATH articles by "Zilber, Boris I."
Published as: Zilber, Boris; Zil’ber, B. I.; Zilber, B. I.; Zilber, B.; Zil’ber, B.; Zilber, Boris I.
Homepage: https://people.maths.ox.ac.uk/zilber/
External Links: MGP · Wikidata · GND · IdRef

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 460 times in 275 Documents Cited by Year
Exponential sums equations and the Schanuel conjecture. Zbl 1030.11073
Zilber, Boris
58
2002
Pseudo-exponentiation on algebraically closed fields of characteristic zero. Zbl 1076.03024
Zilber, B.
49
2005
Zariski geometries. Zbl 0843.03020
Hrushovski, Ehud; Zilber, Boris
46
1996
Covers of the multiplicative group of an algebraically closed field of characteristic zero. Zbl 1104.03030
Zilber, Boris
22
2006
Uncountably categorical theories. Transl. from the Russian by D. Louvish. Transl. ed. by Simeon Ivanov. Zbl 0785.03019
Zilber, Boris
18
1993
Some model theory of simple algebraic groups over algebraically closed fields. Zbl 0567.20030
Zilber, B. I.
18
1984
Covers of multiplicative groups of algebraically closed fields of arbitrary characteristic. Zbl 1229.12006
Bays, Martin; Zilber, Boris
18
2011
The model theory of the field of reals with a subgroup of the unit circle. Zbl 1155.03018
Belegradek, Oleg; Zilber, Boris
17
2008
Groups and rings, the theory of which is categorical. Zbl 0363.02060
Zil’ber, B. I.
16
1977
A categoricity theorem for quasi-minimal excellent classes. Zbl 1096.03037
Zilber, Boris
15
2005
Zariski geometries. Zbl 0781.03023
Hrushovski, Ehud; Zilber, Boris
15
1993
Exponentially closed fields and the conjecture on intersections with tori. Zbl 1315.03056
Kirby, Jonathan; Zilber, Boris
11
2014
A course in mathematical logic for mathematicians. Chapters I–VIII translated from the Russian by Neal Koblitz. With new chapters by Boris Zilber and Yuri I. Manin. 2nd ed. Zbl 1180.03002
Manin, Yu. I.
11
2010
Zariski geometries. Geometry from the logician’s point of view. Zbl 1190.03034
Zilber, Boris
11
2010
Strongly minimal countably categorical theories. II. Zbl 0581.03022
Zil’ber, B. I.
10
1984
Strongly minimal countably categorical theories. III. Zbl 0599.03031
Zil’ber, B. I.
10
1984
Analytic and pseudo-analytic structures. Zbl 1094.03023
Zilber, Boris
9
2005
Strongly minimal countably categorical theories. Zbl 0486.03017
Zil’ber, B. I.
9
1980
Model theory and algebraic geometry. Zbl 0796.03040
Zilber, Boris
7
1993
The structure of models of uncountably categorical theories. Zbl 0595.03028
Zil’ber, B. I.
7
1984
On counting generalized colorings. Zbl 1253.05071
Kotek, Tomer; Makowsky, Johann A.; Zilber, Boris
7
2011
Totally categorical theories: Structural properties and the non-finite axiomatizability. Zbl 0472.03025
Zilber, B. I.
7
1980
On counting generalized colorings. Zbl 1157.05024
Kotek, T.; Makowsky, J. A.; Zilber, B.
6
2008
Rings with \(\aleph_1\)-categorical theories. Zbl 0323.02060
Zil’ber, B. I.
6
1975
Model theory, geometry and arithmetic of the universal cover of a semi-abelian variety. Zbl 1080.03020
Zilber, B.
6
2002
Model theory of special subvarieties and Schanuel-type conjectures. Zbl 1370.03051
Zilber, Boris
6
2016
Perfect infinities and finite approximation. Zbl 1321.03052
Zilber, Boris
5
2014
Generalized analytic sets. Zbl 0968.12004
Zil’ber, B. I.
4
1997
A curve and its abstract Jacobian. Zbl 1304.14040
Zilber, Boris
4
2014
Noncommutative Zariski geometries and their classical limit. Zbl 1208.03042
Zilber, Boris
4
2010
Finite homogeneous geometries. Zbl 0672.03019
Zil’ber, B.
3
1988
A class of quantum Zariski geometries. Zbl 1153.03013
Zilber, Boris
3
2008
Bi-coloured fields on the complex numbers. Zbl 1070.03022
Zilber, B.
3
2004
Uncountable categorical nilpotent groups and Lie algebras. Zbl 0516.20019
Zil’ber, B. I.
3
1982
The quantum harmonic oscillator as a Zariski geometry. Zbl 1315.03061
Solanki, Vinesh; Sustretov, Dmitry; Zilber, Boris
3
2014
A theory of a generic function with derivations. Zbl 1013.03043
Zilber, Boris
2
2002
An example of two elementarily equivalent, but nonisomorphic finitely generated metabelian groups. Zbl 0256.20004
Zil’ber, B. I.
2
1972
Analytic Zariski structures and the Hrushovski construction. Zbl 1068.03029
Peatfield, Nick; Zilber, Boris
2
2005
On a solution of the problem of finite axiomatizability for theories categorical in all infinite powers. Zbl 0614.03025
Zil’ber, B. I.
2
1987
Raising to powers in algebraically closed fields. Zbl 1070.03021
Zilber, B.
2
2003
The solution of the problem of finite axiomatizability for theories which are categorical in all infinite powers. Zbl 0522.03019
Zil’ber, B. I.
2
1980
Totally categorical structures and combinatorial geometries. Zbl 0485.51004
Zil’ber, B. I.
2
1981
The uniform Schanuel conjecture over the real numbers. Zbl 1130.11038
Kirby, Jonathan; Zilber, Boris
1
2006
Quasi-Riemann surfaces. Zbl 0886.03030
Zilber, B. I.
1
1996
Towards the structural stability theory. Zbl 0688.03019
Zilber, B. I.
1
1989
Hereditarily transitive groups and quasi-Urbanik structures. Zbl 0929.20003
Zil’ber, B. I.
1
1988
Dimensions and homogeneity in mathematical structures. Zbl 0988.03057
Zilber, Boris
1
2000
The transcendental rank of the formulas of an \(\aleph_1\)-categorical theory. Zbl 0298.02056
Zil’ber, B. I.
1
1974
Investigations in theoretical programming. (Исследования по теоретическому программированию.) Zbl 0606.03001
1
1981
Structural properties of models of \(\aleph _ 1\)-categorical theories. Zbl 0617.03017
Zil’ber, B. I.
1
1986
Quasi-Urbanik structures. Zbl 0829.03020
Zil’ber, B. I.
1
1989
On the isomorphism and elementary equivalence of commutative semigroups. Zbl 0234.20036
Zil’ber, B. I.
1
1972
Groups and rings whose theory is categorical. Zbl 0745.03029
Zil’ber, B. I.
1
1991
Model theory of special subvarieties and Schanuel-type conjectures. Zbl 1370.03051
Zilber, Boris
6
2016
Exponentially closed fields and the conjecture on intersections with tori. Zbl 1315.03056
Kirby, Jonathan; Zilber, Boris
11
2014
Perfect infinities and finite approximation. Zbl 1321.03052
Zilber, Boris
5
2014
A curve and its abstract Jacobian. Zbl 1304.14040
Zilber, Boris
4
2014
The quantum harmonic oscillator as a Zariski geometry. Zbl 1315.03061
Solanki, Vinesh; Sustretov, Dmitry; Zilber, Boris
3
2014
Covers of multiplicative groups of algebraically closed fields of arbitrary characteristic. Zbl 1229.12006
Bays, Martin; Zilber, Boris
18
2011
On counting generalized colorings. Zbl 1253.05071
Kotek, Tomer; Makowsky, Johann A.; Zilber, Boris
7
2011
A course in mathematical logic for mathematicians. Chapters I–VIII translated from the Russian by Neal Koblitz. With new chapters by Boris Zilber and Yuri I. Manin. 2nd ed. Zbl 1180.03002
Manin, Yu. I.
11
2010
Zariski geometries. Geometry from the logician’s point of view. Zbl 1190.03034
Zilber, Boris
11
2010
Noncommutative Zariski geometries and their classical limit. Zbl 1208.03042
Zilber, Boris
4
2010
The model theory of the field of reals with a subgroup of the unit circle. Zbl 1155.03018
Belegradek, Oleg; Zilber, Boris
17
2008
On counting generalized colorings. Zbl 1157.05024
Kotek, T.; Makowsky, J. A.; Zilber, B.
6
2008
A class of quantum Zariski geometries. Zbl 1153.03013
Zilber, Boris
3
2008
Covers of the multiplicative group of an algebraically closed field of characteristic zero. Zbl 1104.03030
Zilber, Boris
22
2006
The uniform Schanuel conjecture over the real numbers. Zbl 1130.11038
Kirby, Jonathan; Zilber, Boris
1
2006
Pseudo-exponentiation on algebraically closed fields of characteristic zero. Zbl 1076.03024
Zilber, B.
49
2005
A categoricity theorem for quasi-minimal excellent classes. Zbl 1096.03037
Zilber, Boris
15
2005
Analytic and pseudo-analytic structures. Zbl 1094.03023
Zilber, Boris
9
2005
Analytic Zariski structures and the Hrushovski construction. Zbl 1068.03029
Peatfield, Nick; Zilber, Boris
2
2005
Bi-coloured fields on the complex numbers. Zbl 1070.03022
Zilber, B.
3
2004
Raising to powers in algebraically closed fields. Zbl 1070.03021
Zilber, B.
2
2003
Exponential sums equations and the Schanuel conjecture. Zbl 1030.11073
Zilber, Boris
58
2002
Model theory, geometry and arithmetic of the universal cover of a semi-abelian variety. Zbl 1080.03020
Zilber, B.
6
2002
A theory of a generic function with derivations. Zbl 1013.03043
Zilber, Boris
2
2002
Dimensions and homogeneity in mathematical structures. Zbl 0988.03057
Zilber, Boris
1
2000
Generalized analytic sets. Zbl 0968.12004
Zil’ber, B. I.
4
1997
Zariski geometries. Zbl 0843.03020
Hrushovski, Ehud; Zilber, Boris
46
1996
Quasi-Riemann surfaces. Zbl 0886.03030
Zilber, B. I.
1
1996
Uncountably categorical theories. Transl. from the Russian by D. Louvish. Transl. ed. by Simeon Ivanov. Zbl 0785.03019
Zilber, Boris
18
1993
Zariski geometries. Zbl 0781.03023
Hrushovski, Ehud; Zilber, Boris
15
1993
Model theory and algebraic geometry. Zbl 0796.03040
Zilber, Boris
7
1993
Groups and rings whose theory is categorical. Zbl 0745.03029
Zil’ber, B. I.
1
1991
Towards the structural stability theory. Zbl 0688.03019
Zilber, B. I.
1
1989
Quasi-Urbanik structures. Zbl 0829.03020
Zil’ber, B. I.
1
1989
Finite homogeneous geometries. Zbl 0672.03019
Zil’ber, B.
3
1988
Hereditarily transitive groups and quasi-Urbanik structures. Zbl 0929.20003
Zil’ber, B. I.
1
1988
On a solution of the problem of finite axiomatizability for theories categorical in all infinite powers. Zbl 0614.03025
Zil’ber, B. I.
2
1987
Structural properties of models of \(\aleph _ 1\)-categorical theories. Zbl 0617.03017
Zil’ber, B. I.
1
1986
Some model theory of simple algebraic groups over algebraically closed fields. Zbl 0567.20030
Zilber, B. I.
18
1984
Strongly minimal countably categorical theories. II. Zbl 0581.03022
Zil’ber, B. I.
10
1984
Strongly minimal countably categorical theories. III. Zbl 0599.03031
Zil’ber, B. I.
10
1984
The structure of models of uncountably categorical theories. Zbl 0595.03028
Zil’ber, B. I.
7
1984
Uncountable categorical nilpotent groups and Lie algebras. Zbl 0516.20019
Zil’ber, B. I.
3
1982
Totally categorical structures and combinatorial geometries. Zbl 0485.51004
Zil’ber, B. I.
2
1981
Investigations in theoretical programming. (Исследования по теоретическому программированию.) Zbl 0606.03001
1
1981
Strongly minimal countably categorical theories. Zbl 0486.03017
Zil’ber, B. I.
9
1980
Totally categorical theories: Structural properties and the non-finite axiomatizability. Zbl 0472.03025
Zilber, B. I.
7
1980
The solution of the problem of finite axiomatizability for theories which are categorical in all infinite powers. Zbl 0522.03019
Zil’ber, B. I.
2
1980
Groups and rings, the theory of which is categorical. Zbl 0363.02060
Zil’ber, B. I.
16
1977
Rings with \(\aleph_1\)-categorical theories. Zbl 0323.02060
Zil’ber, B. I.
6
1975
The transcendental rank of the formulas of an \(\aleph_1\)-categorical theory. Zbl 0298.02056
Zil’ber, B. I.
1
1974
An example of two elementarily equivalent, but nonisomorphic finitely generated metabelian groups. Zbl 0256.20004
Zil’ber, B. I.
2
1972
On the isomorphism and elementary equivalence of commutative semigroups. Zbl 0234.20036
Zil’ber, B. I.
1
1972
all top 5

Cited by 236 Authors

13 Pillay, Anand
11 Kirby, Jonathan
9 Aslanyan, Vahagn A.
8 Habegger, Philipp
8 Hyttinen, Tapani
8 Masser, David William
7 Baldwin, John T.
7 Zilber, Boris I.
6 Hieronymi, Philipp
6 Macintyre, Angus John
6 Makowsky, Johann-Andreas
6 Vasey, Sebastien
6 Zannier, Umberto M.
5 Cherlin, Gregory L.
5 Eleftheriou, Pantelis E.
5 Hrushovski, Ehud
5 Moosa, Rahim N.
5 Myasnikov, Alexei G.
5 Pila, Jonathan
4 Borovik, Alexandre V.
4 Buechler, Steven
4 Chernikov, Artem
4 D’Aquino, Paola
4 Gavrilovich, Mikhaĭl R.
4 Hasson, Assaf
4 Haykazyan, Levon
4 Kangas, Kaisa
4 Lessmann, Olivier
4 Ravve, Elena V.
4 Scanlon, Thomas J.
4 Vassiliev, Evgueni V.
3 Bays, Martin
3 Berenstein, Alexander
3 Eterović, Sebastian
3 Frécon, Olivier
3 Ghioca, Dragos
3 Goodall, Andrew J.
3 Günaydın, Ayhan
3 Jaligot, Eric
3 Kotek, Tomer
3 Kowalski, Piotr
3 Macpherson, Dugald
3 Mantova, Vincenzo
3 Maurin, Guillaume
3 Peterzil, Ya’acov
3 Point, Françoise
3 Remeslennikov, Vladimir Nikanorovich
3 Shkop, Ahuva C.
3 Sohrabi, Mahmood
3 Tent, Katrin
3 Terzo, Giuseppina
3 Toffalori, Carlo
3 Wagner, Frank Olaf
2 Altınel, Tuna
2 Berkman, Ayşe
2 Berline, Chantal
2 Booher, Jeremy
2 Boxall, Gareth
2 Brownawell, W. Dale
2 Bunina, Elena Igor’evna
2 Cameron, Peter Jephson
2 Daw, Christopher
2 de Piro, Tristram
2 Fornasiero, Antongiulio
2 Junker, Markus
2 Kesälä, Meeri
2 Kim, Byunghan
2 Koponen, Vera
2 Lachlan, Alistair H.
2 Lascar, Daniel
2 Laskowski, Michael Chris
2 León Sánchez, Omar
2 Lieberman, Michael Joseph
2 L’Innocente, Sonia
2 Malyshev, Sergeĭ Borisovich
2 Mariaule, Nathanaël
2 Nešetřil, Jaroslav
2 Nesin, Ali
2 Nguyen, Khoa Dang
2 Onshuus, Alf Angel
2 Peatfield, Nick
2 Ratazzi, Nicolas
2 Rideau-Kikuchi, Silvain
2 Roman’kov, Vitaly Anatol’evich
2 Schmidt, Harry
2 Simon, Pierre
2 Starchenko, Sergei
2 Sustretov, Dmitry
2 Tsimerman, Jacob
2 Villaveces, Andrés
2 Voloch, José Felipe
2 Walsberg, Erik
1 Amoroso, Francesco Antonio
1 Andrews, Uri
1 Andrunakievich, Vladimir Aleksandrovich
1 Arnautov, Vladimir Ivanovich
1 Bailey, Robert F.
1 Bainbridge, Matt
1 Baizhanov, Bektur Sembiuly
1 Bakker, Benjamin
...and 136 more Authors
all top 5

Cited in 78 Serials

40 Annals of Pure and Applied Logic
25 The Journal of Symbolic Logic
15 Journal of Algebra
13 Transactions of the American Mathematical Society
12 The Bulletin of Symbolic Logic
10 Israel Journal of Mathematics
9 Archive for Mathematical Logic
8 Selecta Mathematica. New Series
7 Mathematical Logic Quarterly (MLQ)
6 Mathematische Annalen
6 Proceedings of the American Mathematical Society
6 Journal of Mathematical Logic
6 Journal of the Institute of Mathematics of Jussieu
5 Journal of the European Mathematical Society (JEMS)
4 Notre Dame Journal of Formal Logic
4 European Journal of Combinatorics
4 Journal of the American Mathematical Society
3 Discrete Mathematics
3 Advances in Mathematics
3 Compositio Mathematica
3 Journal für die Reine und Angewandte Mathematik
3 Journal of Soviet Mathematics
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 Sibirskie Èlektronnye Matematicheskie Izvestiya
2 Communications in Algebra
2 Annales de l’Institut Fourier
2 Journal of Number Theory
2 Bulletin of the American Mathematical Society. New Series
2 Journal de Théorie des Nombres de Bordeaux
2 Oberwolfach Reports
2 Algebra & Number Theory
2 Confluentes Mathematici
2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
2 Philosophical Transactions A. Royal Society of London
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Beiträge zur Algebra und Geometrie
1 Algebra and Logic
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Commentarii Mathematici Helvetici
1 Fundamenta Mathematicae
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal of the London Mathematical Society. Second Series
1 Journal of Pure and Applied Algebra
1 Mathematische Zeitschrift
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Pacific Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Semigroup Forum
1 Advances in Applied Mathematics
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Graphs and Combinatorics
1 \(K\)-Theory
1 International Journal of Algebra and Computation
1 MSCS. Mathematical Structures in Computer Science
1 International Journal of Foundations of Computer Science
1 Designs, Codes and Cryptography
1 Expositiones Mathematicae
1 The Australasian Journal of Combinatorics
1 Izvestiya: Mathematics
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Annals of Mathematics. Second Series
1 Foundations of Computational Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Algebra and its Applications
1 Journal of Applied Logic
1 International Journal of Number Theory
1 The Review of Symbolic Logic
1 Forum of Mathematics, Sigma
1 Arnold Mathematical Journal
1 European Journal of Mathematics
1 Research in Number Theory
1 Transactions of the American Mathematical Society. Series B

Citations by Year

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