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Aschenbrenner, Matthias
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1

Analytic Nullstellensätze and the model theory of valued fi..:

Aschenbrenner, Matthias ; Srhir, Ahmed
Mathematische Nachrichten.  , 2024
Link: https://doi.org/10.1002/..
 
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2

Revisiting closed asymptotic couples:

Aschenbrenner, Matthias ; van den Dries, Lou ; van der Hoeven, Joris
Proceedings of the Edinburgh Mathematical Society.  65 (2022)  2 - p. 530-555 , 2022
Link: https://doi.org/10.1017/..
 
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3

Whitney's extension problem in o-minimal structures:

Aschenbrenner, Matthias ; Thamrongthanyalak, Athipat
Revista Matemática Iberoamericana.  35 (2019)  4 - p. 1027-1052 , 2019
Link: https://doi.org/10.4171/..
 
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4

The surreal numbers as a universal $H$-field:

Aschenbrenner, Matthias ; van den Dries, Lou ; van der Hoeven, Joris
Journal of the European Mathematical Society.  21 (2019)  4 - p. 1179-1199 , 2019
Link: https://doi.org/10.4171/..
 
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5

The Logical Complexity of Finitely Generated Commutative Ri..:

Scanlon, Thomas ; Naziazeno, Eudes ; Khélif, Anatole.
International Mathematics Research Notices.  2020 (2018)  1 - p. 112-166 , 2018
Link: https://doi.org/10.1093/..
 
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6

Maximal immediate extensions of valued differential fields:

Aschenbrenner, Matthias ; van den Dries, Lou ; van der Hoeven, Joris
Proceedings of the London Mathematical Society.  117 (2018)  2 - p. 376-406 , 2018
Link: https://doi.org/10.1112/..
 
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7

Asymptotic Differential Algebra and Model Theory of Transse.. 

Annals of Mathematics Studies
Aschenbrenner, Matthias ; Dries, Lou van den ; Van der Hoeven, Joris , 2017
Link: https://www.degruyter.co..
 
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8

Asymptotic Fields and Asymptotic Couples:

, In: Asymptotic Differential Algebra and Model Theory of Transseries,
Aschenbrenner, Matthias ; Dries, Lou van den ; Hoeven, Joris van der , 2017
Link: https://doi.org/10.23943..
 
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9

Introduction and Overview:

, In: Asymptotic Differential Algebra and Model Theory of Transseries,
Aschenbrenner, Matthias ; Dries, Lou van den ; Hoeven, Joris van der , 2017
Link: https://doi.org/10.23943..
 
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10

Differential Polynomials:

, In: Asymptotic Differential Algebra and Model Theory of Transseries,
Aschenbrenner, Matthias ; Dries, Lou van den ; Hoeven, Joris van der , 2017
Link: https://doi.org/10.23943..
 
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11

Linear Differential Polynomials:

, In: Asymptotic Differential Algebra and Model Theory of Transseries,
Aschenbrenner, Matthias ; Dries, Lou van den ; Hoeven, Joris van der , 2017
Link: https://doi.org/10.23943..
 
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12

Quantifier Elimination:

, In: Asymptotic Differential Algebra and Model Theory of Transseries,
Aschenbrenner, Matthias ; Dries, Lou van den ; Hoeven, Joris van der , 2017
Link: https://doi.org/10.23943..
 
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13

Valued Fields:

, In: Asymptotic Differential Algebra and Model Theory of Transseries,
Aschenbrenner, Matthias ; Dries, Lou van den ; Hoeven, Joris van der , 2017
Link: https://doi.org/10.23943..
 
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14

H-Fields:

, In: Asymptotic Differential Algebra and Model Theory of Transseries,
Aschenbrenner, Matthias ; Dries, Lou van den ; Hoeven, Joris van der , 2017
Link: https://doi.org/10.23943..
 
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15

Eventual Quantities, Immediate Extensions, and Special Cuts:

, In: Asymptotic Differential Algebra and Model Theory of Transseries,
Aschenbrenner, Matthias ; Dries, Lou van den ; Hoeven, Joris van der , 2017
Link: https://doi.org/10.23943..
 
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