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Aschenbrenner, Matthias

Author ID: aschenbrenner.matthias Recent zbMATH articles by "Aschenbrenner, Matthias"
Published as: Aschenbrenner, Matthias
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Documents Indexed: 49 Publications since 2000, including 3 Books and 7 Additional arXiv Preprints
Co-Authors: 24 Co-Authors with 44 Joint Publications
623 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 573 times in 452 Documents Cited by Year
3-manifold groups. Zbl 1326.57001
Aschenbrenner, Matthias; Friedl, Stefan; Wilton, Henry
130
2015
Asymptotic differential algebra and model theory of transseries. Zbl 1430.12002
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris
57
2017
Finite generation of symmetric ideals. Zbl 1129.13008
Aschenbrenner, Matthias; Hillar, Christopher J.
41
2007
Vapnik-Chervonenkis density in some theories without the independence property. I. Zbl 1423.03119
Aschenbrenner, Matthias; Dolich, Alf; Haskell, Deirdre; Macpherson, Dugald; Starchenko, Sergei
32
2016
Ideal membership in polynomial rings over the integers. Zbl 1099.13045
Aschenbrenner, Matthias
25
2004
Vapnik-Chervonenkis density in some theories without the independence property. II. Zbl 1436.03185
Aschenbrenner, Matthias; Dolich, Alf; Haskell, Deirdre; Macpherson, Dugald; Starchenko, Sergei
22
2013
Finiteness theorems in stochastic integer programming. Zbl 1183.90313
Aschenbrenner, Matthias; Hemmecke, Raymond
20
2007
Definable versions of theorems by Kirszbraun and Helly. Zbl 1220.03026
Aschenbrenner, Matthias; Fischer, Andreas
20
2011
3-manifold groups are virtually residually \(p\). Zbl 1328.57002
Aschenbrenner, Matthias; Friedl, Stefan
20
2013
\(H\)-fields and their Liouville extensions. Zbl 1066.12002
Aschenbrenner, Matthias; van den Dries, Lou
15
2002
Distality in valued fields and related structures. Zbl 1498.03073
Aschenbrenner, Matthias; Chernikov, Artem; Gehret, Allen; Ziegler, Martin
15
2022
Decision problems for 3-manifolds and their fundamental groups. Zbl 1336.57001
Aschenbrenner, Matthias; Friedl, Stefan; Wilton, Henry
13
2015
Orderings of monomial ideals. Zbl 1049.06001
Aschenbrenner, Matthias; Pong, Wai Yan
12
2004
Closed asymptotic couples. Zbl 0974.12015
Aschenbrenner, Matthias; van den Dries, Lou
12
2000
Liouville closed \(H\)-fields. Zbl 1134.12004
Aschenbrenner, Matthias; van den Dries, Lou
10
2005
The logical complexity of finitely generated commutative rings. Zbl 1476.03047
Aschenbrenner, Matthias; Khélif, Anatole; Naziazeno, Eudes; Scanlon, Thomas
10
2020
Asymptotic differential algebra. Zbl 1087.12002
Aschenbrenner, Matthias; van den Dries, Lou
9
2005
Toward a model theory for transseries. Zbl 1314.03037
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris
9
2013
Residual properties of graph manifold groups. Zbl 1228.57001
Aschenbrenner, Matthias; Friedl, Stefan
9
2011
Lefschetz extensions, tight closure and big Cohen-Macaulay algebras. Zbl 1156.13011
Aschenbrenner, Matthias; Schoutens, Hans
8
2007
Erratum for “finite generation of symmetric ideals”. Zbl 1171.13302
Aschenbrenner, Matthias; Hillar, Christopher J.
7
2009
The surreal numbers as a universal \(H\)-field. Zbl 1470.12004
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris
7
2019
Maximal immediate extensions of valued differential fields. Zbl 1437.12003
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris
6
2018
Whitney’s extension problem in o-minimal structures. Zbl 1445.03043
Aschenbrenner, Matthias; Thamrongthanyalak, Athipat
6
2019
On numbers, germs, and transseries. Zbl 1445.03044
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris
6
2018
Michael’s selection theorem in a semilinear context. Zbl 1391.54015
Aschenbrenner, Matthias; Thamrongthanyalak, Athipat
5
2015
Bounds and definability in polynomial rings. Zbl 1158.13310
Aschenbrenner, Matthias
5
2005
Reduction mod \(p\) of standard bases. Zbl 1096.13029
Aschenbrenner, Matthias
4
2005
Julia’s equation and differential transcendence. Zbl 1345.30029
Aschenbrenner, Matthias; Bergweiler, Walter
4
2015
Logarithms of iteration matrices, and proof of a conjecture by Shadrin and Zvonkine. Zbl 1387.11023
Aschenbrenner, Matthias
4
2012
Differentially algebraic gaps. Zbl 1151.12002
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris
4
2005
Degree bounds for Gröbner bases in algebras of solvable type. Zbl 1166.13032
Aschenbrenner, Matthias; Leykin, Anton
4
2009
Some remarks about asymptotic couples. Zbl 1038.03040
Aschenbrenner, Matthias
3
2003
A criterion for HNN extensions of finite \(p\)-groups to be residually \(p\). Zbl 1232.20031
Aschenbrenner, Matthias; Friedl, Stefan
3
2011
Strongly minimal groups in the theory of compact complex spaces. Zbl 1103.03038
Aschenbrenner, Matthias; Moosa, Rahim; Scanlon, Thomas
3
2006
Dimension in the realm of transseries. Zbl 1388.12008
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris
3
2017
An algorithm for finding symmetric Gröbner bases in infinite dimensional rings. Zbl 1487.13054
Aschenbrenner, Matthias; Hillar, Christopher J.
1
2008
Revisiting closed asymptotic couples. Zbl 07556006
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris
1
2022
Transseries and Todorov-Vernaeve’s asymptotic fields. Zbl 1359.03047
Aschenbrenner, Matthias; Goldbring, Isaac
1
2014
Distality in valued fields and related structures. Zbl 1498.03073
Aschenbrenner, Matthias; Chernikov, Artem; Gehret, Allen; Ziegler, Martin
15
2022
Revisiting closed asymptotic couples. Zbl 07556006
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris
1
2022
The logical complexity of finitely generated commutative rings. Zbl 1476.03047
Aschenbrenner, Matthias; Khélif, Anatole; Naziazeno, Eudes; Scanlon, Thomas
10
2020
The surreal numbers as a universal \(H\)-field. Zbl 1470.12004
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris
7
2019
Whitney’s extension problem in o-minimal structures. Zbl 1445.03043
Aschenbrenner, Matthias; Thamrongthanyalak, Athipat
6
2019
Maximal immediate extensions of valued differential fields. Zbl 1437.12003
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris
6
2018
On numbers, germs, and transseries. Zbl 1445.03044
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris
6
2018
Asymptotic differential algebra and model theory of transseries. Zbl 1430.12002
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris
57
2017
Dimension in the realm of transseries. Zbl 1388.12008
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris
3
2017
Vapnik-Chervonenkis density in some theories without the independence property. I. Zbl 1423.03119
Aschenbrenner, Matthias; Dolich, Alf; Haskell, Deirdre; Macpherson, Dugald; Starchenko, Sergei
32
2016
3-manifold groups. Zbl 1326.57001
Aschenbrenner, Matthias; Friedl, Stefan; Wilton, Henry
130
2015
Decision problems for 3-manifolds and their fundamental groups. Zbl 1336.57001
Aschenbrenner, Matthias; Friedl, Stefan; Wilton, Henry
13
2015
Michael’s selection theorem in a semilinear context. Zbl 1391.54015
Aschenbrenner, Matthias; Thamrongthanyalak, Athipat
5
2015
Julia’s equation and differential transcendence. Zbl 1345.30029
Aschenbrenner, Matthias; Bergweiler, Walter
4
2015
Transseries and Todorov-Vernaeve’s asymptotic fields. Zbl 1359.03047
Aschenbrenner, Matthias; Goldbring, Isaac
1
2014
Vapnik-Chervonenkis density in some theories without the independence property. II. Zbl 1436.03185
Aschenbrenner, Matthias; Dolich, Alf; Haskell, Deirdre; Macpherson, Dugald; Starchenko, Sergei
22
2013
3-manifold groups are virtually residually \(p\). Zbl 1328.57002
Aschenbrenner, Matthias; Friedl, Stefan
20
2013
Toward a model theory for transseries. Zbl 1314.03037
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris
9
2013
Logarithms of iteration matrices, and proof of a conjecture by Shadrin and Zvonkine. Zbl 1387.11023
Aschenbrenner, Matthias
4
2012
Definable versions of theorems by Kirszbraun and Helly. Zbl 1220.03026
Aschenbrenner, Matthias; Fischer, Andreas
20
2011
Residual properties of graph manifold groups. Zbl 1228.57001
Aschenbrenner, Matthias; Friedl, Stefan
9
2011
A criterion for HNN extensions of finite \(p\)-groups to be residually \(p\). Zbl 1232.20031
Aschenbrenner, Matthias; Friedl, Stefan
3
2011
Erratum for “finite generation of symmetric ideals”. Zbl 1171.13302
Aschenbrenner, Matthias; Hillar, Christopher J.
7
2009
Degree bounds for Gröbner bases in algebras of solvable type. Zbl 1166.13032
Aschenbrenner, Matthias; Leykin, Anton
4
2009
An algorithm for finding symmetric Gröbner bases in infinite dimensional rings. Zbl 1487.13054
Aschenbrenner, Matthias; Hillar, Christopher J.
1
2008
Finite generation of symmetric ideals. Zbl 1129.13008
Aschenbrenner, Matthias; Hillar, Christopher J.
41
2007
Finiteness theorems in stochastic integer programming. Zbl 1183.90313
Aschenbrenner, Matthias; Hemmecke, Raymond
20
2007
Lefschetz extensions, tight closure and big Cohen-Macaulay algebras. Zbl 1156.13011
Aschenbrenner, Matthias; Schoutens, Hans
8
2007
Strongly minimal groups in the theory of compact complex spaces. Zbl 1103.03038
Aschenbrenner, Matthias; Moosa, Rahim; Scanlon, Thomas
3
2006
Liouville closed \(H\)-fields. Zbl 1134.12004
Aschenbrenner, Matthias; van den Dries, Lou
10
2005
Asymptotic differential algebra. Zbl 1087.12002
Aschenbrenner, Matthias; van den Dries, Lou
9
2005
Bounds and definability in polynomial rings. Zbl 1158.13310
Aschenbrenner, Matthias
5
2005
Reduction mod \(p\) of standard bases. Zbl 1096.13029
Aschenbrenner, Matthias
4
2005
Differentially algebraic gaps. Zbl 1151.12002
Aschenbrenner, Matthias; van den Dries, Lou; van der Hoeven, Joris
4
2005
Ideal membership in polynomial rings over the integers. Zbl 1099.13045
Aschenbrenner, Matthias
25
2004
Orderings of monomial ideals. Zbl 1049.06001
Aschenbrenner, Matthias; Pong, Wai Yan
12
2004
Some remarks about asymptotic couples. Zbl 1038.03040
Aschenbrenner, Matthias
3
2003
\(H\)-fields and their Liouville extensions. Zbl 1066.12002
Aschenbrenner, Matthias; van den Dries, Lou
15
2002
Closed asymptotic couples. Zbl 0974.12015
Aschenbrenner, Matthias; van den Dries, Lou
12
2000
all top 5

Cited by 517 Authors

24 Aschenbrenner, Matthias
20 Friedl, Stefan
13 van den Dries, Lou
11 van der Hoeven, Joris
8 Kaplan, Elliot
8 Römer, Tim
8 Schoutens, Hans
8 Thamrongthanyalak, Athipat
7 Chernikov, Artem
7 Snowden, Andrew W.
6 Gehret, Allen
6 Koutecký, Martin
6 Liu, Yi
6 Nagel, Uwe
6 Wilkes, Gareth
5 Ehrlich, Philip
5 Hillar, Christopher J.
5 La Scala, Roberto
5 Le, Dinh Van
5 Macpherson, Dugald
5 Point, Françoise
5 Starchenko, Sergei
4 Aichinger, Erhard
4 Ben Aribi, Fathi
4 Draisma, Jan
4 Kuhlmann, Salma
4 León Sánchez, Omar
4 Motegi, Kimihiko
4 Murai, Satoshi
3 Abbott, Carolyn R.
3 Cavicchioli, Alberto
3 Chen, Lin
3 Choi, Yemon
3 Fornasiero, Antongiulio
3 Ghandehari, Mahya
3 Gómez Larrañaga, José Carlos
3 González Acuña, Francisco Javier
3 Guingona, Vincent
3 Heil, Wolfgang H.
3 Jahnke, Franziska
3 Kitayama, Takahiro
3 Knop, Dušan
3 Koberda, Thomas
3 Krone, Robert
3 Leykin, Anton
3 Löh, Clara
3 Lück, Wolfgang
3 Matusinski, Mickaël
3 Minasyan, Ashot
3 Nagel, Matthias
3 Pawłucki, Wiesław
3 Peran, Dino
3 Pynn-Coates, Nigel
3 Sam, Steven V.
3 Sánchez Saldaña, Luis Jorge
3 Sokolov, Evgeny Viktorovich
3 Spaggiari, Fulvia
3 Speissegger, Patrick
3 Tent, Katrin
3 Teragaito, Masakazu
3 Tillmann, Stephan
3 Vidussi, Stefano
3 Weiermann, Andreas
3 Zalesskii, Pavel
2 Alaev, Pavel Evgenievich
2 Bardakov, Valeriĭ Georgievich
2 Bays, Martin
2 Berarducci, Alessandro
2 Bérczes, Attila
2 Bhardwaj, Neer
2 Bridson, Martin R.
2 Bryukhanov, Oleg V.
2 Button, Jack Oliver
2 Cerocchi, Filippo
2 Chagas, Sheila C.
2 Chen, Hua
2 Cluckers, Raf
2 Conant, Gabriel
2 Cubides Kovacsics, Pablo
2 DeVito, Jason
2 Dijoux, Yann
2 Dittmann, Philip
2 Dolich, Alf
2 Dolich, Alfred
2 Eggermont, Rob H.
2 Eleftheriou, Pantelis E.
2 Evertse, Jan-Hendrik
2 Fauser, Daniel
2 Fløystad, Gunnar
2 Galloway, Gregory J.
2 Gavenčiak, Tomáš
2 Göral, Haydar
2 Goryuchkina, Irina V.
2 Győry, Kálmán
2 Hagen, Mark F.
2 Haskell, Deirdre
2 Hedden, Matthew
2 Herrmann, Gerrit
2 Hils, Martin
2 Himeno, Keisuke
...and 417 more Authors
all top 5

Cited in 151 Serials

24 Transactions of the American Mathematical Society
22 Journal of Algebra
19 The Journal of Symbolic Logic
11 Notre Dame Journal of Formal Logic
10 Advances in Mathematics
10 Journal of Pure and Applied Algebra
10 Topology and its Applications
10 Annals of Pure and Applied Logic
10 Archive for Mathematical Logic
9 Pacific Journal of Mathematics
8 Proceedings of the American Mathematical Society
7 Bulletin of the London Mathematical Society
7 Journal of Symbolic Computation
7 Mathematical Logic Quarterly (MLQ)
6 Geometriae Dedicata
6 Journal of Knot Theory and its Ramifications
6 Journal of the European Mathematical Society (JEMS)
6 Algebraic & Geometric Topology
5 Communications in Algebra
5 Duke Mathematical Journal
5 Inventiones Mathematicae
5 Siberian Mathematical Journal
5 Journal of the American Mathematical Society
5 Selecta Mathematica. New Series
5 Geometry & Topology
5 Groups, Geometry, and Dynamics
4 Annales de l’Institut Fourier
4 Mathematische Annalen
4 International Journal of Algebra and Computation
4 Mathematical Programming. Series A. Series B
4 Journal of the Institute of Mathematics of Jussieu
4 Journal of Topology
4 Journal of Commutative Algebra
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Illinois Journal of Mathematics
3 Journal of the London Mathematical Society. Second Series
3 Mathematische Zeitschrift
3 Monatshefte für Mathematik
3 Proceedings of the London Mathematical Society. Third Series
3 European Journal of Combinatorics
3 Journal of Group Theory
3 Oberwolfach Reports
2 Discrete Applied Mathematics
2 Discrete Mathematics
2 Israel Journal of Mathematics
2 Mathematics of Computation
2 Algebra and Logic
2 Indiana University Mathematics Journal
2 Journal of Combinatorial Theory. Series A
2 Journal für die Reine und Angewandte Mathematik
2 Mathematische Nachrichten
2 Memoirs of the American Mathematical Society
2 Michigan Mathematical Journal
2 Nagoya Mathematical Journal
2 Osaka Journal of Mathematics
2 Theoretical Computer Science
2 Sugaku Expositions
2 L’Enseignement Mathématique. 2e Série
2 Expositiones Mathematicae
2 Indagationes Mathematicae. New Series
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Journal of Algebraic Geometry
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Revista Matemática Complutense
2 Lobachevskii Journal of Mathematics
2 Discrete Optimization
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Algebra & Number Theory
2 Journal of Topology and Analysis
2 Groups, Complexity, Cryptology
2 European Journal of Mathematics
2 Transactions of the American Mathematical Society. Series B
1 Archive for History of Exact Sciences
1 Bulletin of the Australian Mathematical Society
1 Classical and Quantum Gravity
1 Communications in Mathematical Physics
1 Houston Journal of Mathematics
1 Information Processing Letters
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Moscow University Mathematics Bulletin
1 Periodica Mathematica Hungarica
1 Beiträge zur Algebra und Geometrie
1 Acta Mathematica Vietnamica
1 Algebra Universalis
1 Annales Polonici Mathematici
1 Archiv der Mathematik
1 Canadian Mathematical Bulletin
1 Compositio Mathematica
1 Fundamenta Mathematicae
1 Hiroshima Mathematical Journal
1 Journal of Differential Equations
1 Journal of Differential Geometry
1 Journal of Functional Analysis
1 Journal of the Mathematical Society of Japan
1 Manuscripta Mathematica
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the Japan Academy. Series A
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Revista de la Unión Matemática Argentina
1 Semigroup Forum
...and 51 more Serials
all top 5

Cited in 42 Fields

142 Mathematical logic and foundations (03-XX)
128 Manifolds and cell complexes (57-XX)
101 Group theory and generalizations (20-XX)
84 Commutative algebra (13-XX)
76 Field theory and polynomials (12-XX)
43 Algebraic geometry (14-XX)
33 Combinatorics (05-XX)
28 Order, lattices, ordered algebraic structures (06-XX)
27 Associative rings and algebras (16-XX)
27 Computer science (68-XX)
24 Number theory (11-XX)
20 Differential geometry (53-XX)
17 Real functions (26-XX)
16 General topology (54-XX)
15 Functions of a complex variable (30-XX)
15 Operations research, mathematical programming (90-XX)
14 Several complex variables and analytic spaces (32-XX)
12 Algebraic topology (55-XX)
11 Ordinary differential equations (34-XX)
10 Functional analysis (46-XX)
9 Dynamical systems and ergodic theory (37-XX)
9 Convex and discrete geometry (52-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Nonassociative rings and algebras (17-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 General algebraic systems (08-XX)
5 Approximations and expansions (41-XX)
5 Statistics (62-XX)
4 General and overarching topics; collections (00-XX)
4 Category theory; homological algebra (18-XX)
4 Topological groups, Lie groups (22-XX)
4 Quantum theory (81-XX)
3 Operator theory (47-XX)
3 Relativity and gravitational theory (83-XX)
2 History and biography (01-XX)
2 \(K\)-theory (19-XX)
2 Difference and functional equations (39-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
1 Partial differential equations (35-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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