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## Marker, David E.

Compute Distance To:
 Author ID: marker.david-e Published as: Marker, David; Marker, D.; Marker, David E.
 Documents Indexed: 52 Publications since 1982, including 6 Books
all top 5

#### Co-Authors

 24 single-authored 6 Macintyre, Angus John 5 Pillay, Anand 4 van den Dries, Lou 3 Steinhorn, Charles I. 2 Baudisch, Andreas 2 Bélair, Luc 2 Chatzidakis, Zoé Maria 2 D’Aquino, P. D. 2 Messmer, Margit 2 Point, Françoise 2 Tent, Katrin 2 Wilkie, Alex James 1 Andrews, Uri 1 Cenzer, Douglas 1 Dolich, Alf 1 Goldbring, Isaac 1 Hachtman, Sherwood 1 Harizanov, Valentina S. 1 Harrington, Leo A. 1 Kechris, Alexander S. 1 Keisler, Howard Jerome 1 Knight, Julia F. 1 Krattenthaler, Christian Friedrich 1 Lange, Karen 1 Macpherson, Dugald 1 Mayer, Laura L. 1 Miller, Chris 1 Miller, Russell G. 1 Morganstein, David 1 Peterzil, Ya’acov 1 Sami, Ramez L. 1 Schmerl, James H. 1 Shelah, Saharon 1 Wagner, Frank Olaf 1 Wood, Carol
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#### Serials

 11 The Journal of Symbolic Logic 5 Notre Dame Journal of Formal Logic 4 Transactions of the American Mathematical Society 4 Archive for Mathematical Logic 3 Lecture Notes in Logic 2 Annals of Pure and Applied Logic 2 Revista Matemática de la Universidad Complutense de Madrid 2 The Bulletin of Symbolic Logic 2 Oberwolfach Reports 1 Fundamenta Mathematicae 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Statistical Science 1 Notices of the American Mathematical Society 1 Annals of Mathematics. Second Series 1 Graduate Texts in Mathematics 1 Quaderni di Matematica
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#### Fields

 50 Mathematical logic and foundations (03-XX) 21 Field theory and polynomials (12-XX) 5 General and overarching topics; collections (00-XX) 4 Number theory (11-XX) 3 Algebraic geometry (14-XX) 2 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX)

#### Citations contained in zbMATH Open

38 Publications have been cited 717 times in 609 Documents Cited by Year
Model theory: An introduction. Zbl 1003.03034
Marker, David
2002
The elementary theory of restricted analytic fields with exponentiation. Zbl 0837.12006
van den Dries, Lou; Macintyre, Angus; Marker, David
1994
Weakly o-minimal structures and real closed fields. Zbl 0982.03021
Macpherson, Dugald; Marker, David; Steinhorn, Charles
2000
Logarithmic-exponential power series. Zbl 0924.12007
van den Dries, Lou; Macintyre, Angus; Marker, David
1997
Logarithmic-exponential series. Zbl 0998.12014
van den Dries, Lou; Macintyre, Angus; Marker, David
2001
Definable types in $${\mathcal O}$$-minimal theories. Zbl 0801.03026
Marker, David; Steinhorn, Charles I.
1994
Model theory of fields. Zbl 0911.12005
Marker, D.; Messmer, M.; Pillay, A.
1996
Non $$\Sigma _ n$$ axiomatizable almost strongly minimal theories. Zbl 0698.03021
Marker, David
1989
Model theory of fields. 2nd ed. Zbl 1104.12006
Marker, David; Messmer, Margit; Pillay, Anand
2006
Additive reducts of real closed fields. Zbl 0774.03020
Marker, David; Peterzil, Ya’acov; Pillay, Anand
1992
Borel orderings. Zbl 0707.03042
Harrington, Leo; Marker, David; Shelah, Saharon
1988
A remark on Zilber’s pseudoexponentiation. Zbl 1112.03029
Marker, David
2006
Primes and their residue rings in models of open induction. Zbl 0675.03040
Macintyre, Angus; Marker, David
1989
Omitting types in $${\mathcal O}$$-minimal theories. Zbl 0596.03031
Marker, David
1986
Manin kernels. Zbl 1100.14522
Marker, David
2000
Model theory of differential fields. Zbl 0961.03033
Marker, David
2000
Differential Galois theory. III: Some inverse problems. Zbl 0927.03065
Marker, David; Pillay, Anand
1997
Introduction to model theory. Zbl 0961.03027
Marker, David
2000
Levelled O-minimal structures. Zbl 0879.03012
Marker, David; Miller, Chris
1997
Model theory and exponentiation. Zbl 1045.03519
Marker, David
1996
Semialgebraic expansions of $$\mathbb{C}$$. Zbl 0778.03009
Marker, David
1990
Degrees of recursively saturated models. Zbl 0557.03046
Macintyre, Angus J.; Marker, David
1984
$$\Pi^ 1_ 1$$ Borel sets. Zbl 0686.03025
Kechris, Alexander S.; Marker, David; Sami, Ramez L.
1989
The number of countable differentially closed fields. Zbl 1128.03023
Marker, David
2007
Turing degree spectra of differentially closed fields. Zbl 1419.03039
Marker, David; Miller, Russell
2017
Degrees of models of true arithmetic. Zbl 0522.03058
Marker, David
1982
A model theoretic proof of Feferman’s preservation theorem. Zbl 0566.03021
Marker, David
1984
Reducts of $$({\mathbb{C}},+,\cdot)$$ which contain $$+$$. Zbl 0721.03023
Marker, D.; Pillay, A.
1990
Lectures on infinitary model theory. Zbl 1356.03004
Marker, David
2016
Uncountable real closed fields with PA integer parts. Zbl 1358.03041
Marker, David; Schmerl, James H.; Steinhorn, Charles
2015
Zariski geometries. Zbl 0925.03171
Marker, David
1998
The Borel complexity of isomorphism for theories with many types. Zbl 1124.03012
Marker, David
2007
An analytic equivalence relation not arising from a Polish group action. Zbl 0688.03031
Marker, David
1988
A strongly minimal expansion of ($$\omega$$ ,s). Zbl 0647.03029
Marker, David
1987
Model theory and applications. Based on the Euro-Conference in model theory and applications, Ravello, Italy, May 27–June 1, 2002. Zbl 1066.03014
Bélair, L. (ed.); Chatzidakis, Z. (ed.); D’Aquino, P. D. (ed.); Marker, D. (ed.); Otero, M. (ed.); Point, F. (ed.); Wilkie, A. (ed.)
2002
Representing Scott sets in algebraic settings. Zbl 1408.03030
Dolich, Alf; Knight, Julia F.; Lange, Karen; Marker, David
2015
Bounds on Scott rank for various nonelementary classes. Zbl 0718.03036
Marker, David
1990
Strongly minimal sets and geometry. Zbl 0895.03013
Marker, David
1998
Turing degree spectra of differentially closed fields. Zbl 1419.03039
Marker, David; Miller, Russell
2017
Lectures on infinitary model theory. Zbl 1356.03004
Marker, David
2016
Uncountable real closed fields with PA integer parts. Zbl 1358.03041
Marker, David; Schmerl, James H.; Steinhorn, Charles
2015
Representing Scott sets in algebraic settings. Zbl 1408.03030
Dolich, Alf; Knight, Julia F.; Lange, Karen; Marker, David
2015
The number of countable differentially closed fields. Zbl 1128.03023
Marker, David
2007
The Borel complexity of isomorphism for theories with many types. Zbl 1124.03012
Marker, David
2007
Model theory of fields. 2nd ed. Zbl 1104.12006
Marker, David; Messmer, Margit; Pillay, Anand
2006
A remark on Zilber’s pseudoexponentiation. Zbl 1112.03029
Marker, David
2006
Model theory: An introduction. Zbl 1003.03034
Marker, David
2002
Model theory and applications. Based on the Euro-Conference in model theory and applications, Ravello, Italy, May 27–June 1, 2002. Zbl 1066.03014
Bélair, L.; Chatzidakis, Z.; D&rsquo;Aquino, P. D.; Marker, D.; Otero, M.; Point, F.; Wilkie, A.
2002
Logarithmic-exponential series. Zbl 0998.12014
van den Dries, Lou; Macintyre, Angus; Marker, David
2001
Weakly o-minimal structures and real closed fields. Zbl 0982.03021
Macpherson, Dugald; Marker, David; Steinhorn, Charles
2000
Manin kernels. Zbl 1100.14522
Marker, David
2000
Model theory of differential fields. Zbl 0961.03033
Marker, David
2000
Introduction to model theory. Zbl 0961.03027
Marker, David
2000
Zariski geometries. Zbl 0925.03171
Marker, David
1998
Strongly minimal sets and geometry. Zbl 0895.03013
Marker, David
1998
Logarithmic-exponential power series. Zbl 0924.12007
van den Dries, Lou; Macintyre, Angus; Marker, David
1997
Differential Galois theory. III: Some inverse problems. Zbl 0927.03065
Marker, David; Pillay, Anand
1997
Levelled O-minimal structures. Zbl 0879.03012
Marker, David; Miller, Chris
1997
Model theory of fields. Zbl 0911.12005
Marker, D.; Messmer, M.; Pillay, A.
1996
Model theory and exponentiation. Zbl 1045.03519
Marker, David
1996
The elementary theory of restricted analytic fields with exponentiation. Zbl 0837.12006
van den Dries, Lou; Macintyre, Angus; Marker, David
1994
Definable types in $${\mathcal O}$$-minimal theories. Zbl 0801.03026
Marker, David; Steinhorn, Charles I.
1994
Additive reducts of real closed fields. Zbl 0774.03020
Marker, David; Peterzil, Ya&rsquo;acov; Pillay, Anand
1992
Semialgebraic expansions of $$\mathbb{C}$$. Zbl 0778.03009
Marker, David
1990
Reducts of $$({\mathbb{C}},+,\cdot)$$ which contain $$+$$. Zbl 0721.03023
Marker, D.; Pillay, A.
1990
Bounds on Scott rank for various nonelementary classes. Zbl 0718.03036
Marker, David
1990
Non $$\Sigma _ n$$ axiomatizable almost strongly minimal theories. Zbl 0698.03021
Marker, David
1989
Primes and their residue rings in models of open induction. Zbl 0675.03040
Macintyre, Angus; Marker, David
1989
$$\Pi^ 1_ 1$$ Borel sets. Zbl 0686.03025
Kechris, Alexander S.; Marker, David; Sami, Ramez L.
1989
Borel orderings. Zbl 0707.03042
Harrington, Leo; Marker, David; Shelah, Saharon
1988
An analytic equivalence relation not arising from a Polish group action. Zbl 0688.03031
Marker, David
1988
A strongly minimal expansion of ($$\omega$$ ,s). Zbl 0647.03029
Marker, David
1987
Omitting types in $${\mathcal O}$$-minimal theories. Zbl 0596.03031
Marker, David
1986
Degrees of recursively saturated models. Zbl 0557.03046
Macintyre, Angus J.; Marker, David
1984
A model theoretic proof of Feferman’s preservation theorem. Zbl 0566.03021
Marker, David
1984
Degrees of models of true arithmetic. Zbl 0522.03058
Marker, David
1982
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#### Cited by 563 Authors

 23 Kulpeshov, Beibut Shaiykovich 16 Pillay, Anand 13 Miller, Chris 11 Peterzil, Ya’acov 10 Knight, Julia F. 10 van den Dries, Lou 9 Kuhlmann, Salma 9 Rolin, Jean-Philippe 9 Starchenko, Sergei 9 Sudoplatov, Sergeĭ Vladimirovich 8 Aschenbrenner, Matthias 8 Baldwin, John T. 8 Freitag, James 8 Lion, Jean-Marie 8 Speissegger, Patrick 7 Aladova, Elena V. 7 Kaiser, Tobias 7 Laskowski, Michael Chris 7 León Sánchez, Omar 7 Macintyre, Angus John 6 Edmundo, Mário J. 6 Harrison-Trainor, Matthew 6 Hrushovski, Ehud 6 Marker, David E. 6 Miller, Russell G. 6 Morozov, Andreĭ Sergeevich 6 Onshuus, Alf Angel 6 Ovchinnikov, Alexey Igorevich 6 Plotkin, Boris 6 Shelah, Saharon 6 Steinhorn, Charles I. 5 Aslanyan, Vahagn A. 5 Cluckers, Raf 5 Fokina, Ekaterina B. 5 Goncharov, Sergeĭ Savost’yanovich 5 Harizanov, Valentina S. 5 Hasson, Assaf 5 Jahnke, Franziska 5 Marchioni, Enrico 5 Matusinski, Mickaël 5 Point, Françoise 5 Sklinos, Rizos 5 Tari, Somayyeh 5 Tressl, Marcus 5 Walsh, Sean 4 Andrews, Uri 4 Bélair, Luc 4 Berarducci, Alessandro 4 Chernikov, Artem 4 D’Aquino, Paola 4 Dolich, Alfred 4 Eleftheriou, Pantelis E. 4 Fehm, Arno 4 Finkel, Olivier 4 Fischer, Andreas M. 4 Halevi, Yatir 4 Hieronymi, Philipp 4 Kirby, Jonathan 4 Macpherson, Dugald 4 Mantova, Vincenzo 4 Melnikov, Alexander G. 4 Moosa, Rahim N. 4 Nagloo, Joel 4 Pila, Jonathan 4 Plotkin, Tatjana L. 4 Scanlon, Thomas J. 4 Shlapentokh, Alexandra 4 Simon, Pierre 4 Terzo, Giuseppina 4 van der Hoeven, Joris 4 Verbovskiĭ, Viktor Valerievich 4 Walsberg, Erik 4 Wencel, Roman 4 Wilkie, Alex James 3 Allamigeon, Xavier 3 Baizhanov, Bektur Sembiuly 3 Baizhanov, Sayan Samatovich 3 Berenstein, Alexander 3 Bianconi, Ricardo 3 Bodirsky, Manuel 3 Bonnard, Bernard 3 Conant, Gabriel 3 Cubides Kovacsics, Pablo 3 Delon, Françoise 3 Dolich, Alf 3 Eivazloo, Jafar S. 3 Fornasiero, Antongiulio 3 Fujita, Masato 3 Gabrielov, Andrei 3 Gaubert, Stéphane 3 Göral, Haydar 3 Guingona, Vincent 3 Günaydın, Ayhan 3 Haskell, Deirdre 3 Huh, June 3 Hyttinen, Tapani 3 Jonsson, Peter A. 3 Kanovei, Vladimir G. 3 Kuhlmann, Franz-Viktor 3 Lempp, Steffen ...and 463 more Authors
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#### Cited in 128 Serials

 63 The Journal of Symbolic Logic 60 Annals of Pure and Applied Logic 34 Archive for Mathematical Logic 31 Transactions of the American Mathematical Society 21 Mathematical Logic Quarterly (MLQ) 20 The Bulletin of Symbolic Logic 18 Advances in Mathematics 16 Algebra and Logic 16 Journal of Algebra 13 Proceedings of the American Mathematical Society 12 Journal of Pure and Applied Algebra 11 Notre Dame Journal of Formal Logic 10 Annales de l’Institut Fourier 9 Israel Journal of Mathematics 9 Journal of Mathematical Logic 8 Duke Mathematical Journal 8 Siberian Mathematical Journal 8 Sibirskie Èlektronnye Matematicheskie Izvestiya 7 Theoretical Computer Science 7 Selecta Mathematica. New Series 7 Journal of the Institute of Mathematics of Jussieu 6 Journal of the American Mathematical Society 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Journal of the European Mathematical Society (JEMS) 6 The Review of Symbolic Logic 5 Communications in Algebra 5 Algebra Universalis 5 Memoirs of the American Mathematical Society 5 Studia Logica 5 Journal of Symbolic Computation 4 Compositio Mathematica 4 Mathematische Annalen 4 Bulletin of the American Mathematical Society. New Series 4 Annals of Mathematics. Second Series 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Artificial Intelligence 3 Journal of Computer and System Sciences 3 Order 3 Journal of Mathematical Sciences (New York) 3 Matematicheskie Trudy 3 Eurasian Mathematical Journal 2 Discrete Applied Mathematics 2 Discrete Mathematics 2 Archiv der Mathematik 2 Fundamenta Mathematicae 2 Inventiones Mathematicae 2 Journal of Differential Equations 2 Journal of the Mathematical Society of Japan 2 Semigroup Forum 2 Synthese 2 Topology and its Applications 2 Discrete & Computational Geometry 2 Information and Computation 2 International Journal of Algebra and Computation 2 Linear Algebra and its Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Soft Computing 2 Lobachevskii Journal of Mathematics 2 Journal of Algebra and its Applications 2 Journal of Applied Logic 2 Logica Universalis 2 Journal of Logic and Analysis 2 Bulletin of Mathematical Sciences 2 Forum of Mathematics, Sigma 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Notes 1 Beiträge zur Algebra und Geometrie 1 Applied Mathematics and Computation 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Demonstratio Mathematica 1 Fuzzy Sets and Systems 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of Mathematical Economics 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematics and Computers in Simulation 1 Mathematics of Operations Research 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Moscow University Computational Mathematics and Cybernetics 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Optimization 1 Journal of Complexity 1 International Journal of Approximate Reasoning 1 MCSS. Mathematics of Control, Signals, and Systems 1 Forum Mathematicum 1 Formal Aspects of Computing 1 International Journal of Foundations of Computer Science 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Optimization 1 Vestnik St. Petersburg University. Mathematics 1 Applied Categorical Structures 1 Journal de Théorie des Nombres de Bordeaux 1 Advances in Computational Mathematics ...and 28 more Serials
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#### Cited in 51 Fields

 499 Mathematical logic and foundations (03-XX) 146 Field theory and polynomials (12-XX) 76 Algebraic geometry (14-XX) 54 Group theory and generalizations (20-XX) 49 Number theory (11-XX) 48 Order, lattices, ordered algebraic structures (06-XX) 47 Computer science (68-XX) 34 Commutative algebra (13-XX) 27 Several complex variables and analytic spaces (32-XX) 19 Combinatorics (05-XX) 15 Associative rings and algebras (16-XX) 15 Real functions (26-XX) 15 General topology (54-XX) 14 Ordinary differential equations (34-XX) 12 General and overarching topics; collections (00-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 General algebraic systems (08-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Topological groups, Lie groups (22-XX) 7 Category theory; homological algebra (18-XX) 7 Functions of a complex variable (30-XX) 6 History and biography (01-XX) 6 Measure and integration (28-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Convex and discrete geometry (52-XX) 6 Differential geometry (53-XX) 6 Operations research, mathematical programming (90-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Nonassociative rings and algebras (17-XX) 4 Functional analysis (46-XX) 4 Numerical analysis (65-XX) 4 Systems theory; control (93-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Manifolds and cell complexes (57-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 $$K$$-theory (19-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX)