Matthias Aschenbrenner | Academic Influence

Matthias Aschenbrenner's AcademicInfluence.com Rankings

Matthias Aschenbrenner

Mathematics

#3707

World Rank

#5418

Historical Rank

#1344

USA Rank

Measure Theory

#5141

World Rank

#6080

Historical Rank

#1442

USA Rank

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Mathematics

Matthias Aschenbrenner's Degrees

PhD Mathematics University of Chicago
Bachelors Mathematics University of Chicago

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Why Is Matthias Aschenbrenner Influential?

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According to Wikipedia, Matthias Aschenbrenner is a German-American mathematician. He is a professor of mathematics and director of the logic group at the University of Vienna. His research interests include differential algebra and model theory.

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Matthias Aschenbrenner's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

3-Manifold Groups (2012) (250)
Finite generation of symmetric ideals (2004) (80)
Vapnik-Chervonenkis Density in Some Theories without the Independence Property, II (2011) (75)
Asymptotic Differential Algebra and Model Theory of Transseries (2015) (73)
Ideal membership in polynomial rings over the integers (2003) (62)
H-fields and their Liouville extensions (2002) (37)
3-manifold groups are virtually residually p (2010) (36)
Definable versions of theorems by Kirszbraun and Helly (2009) (34)
Decision problems for 3-manifolds and their fundamental groups (2014) (34)
Finiteness Theorems in Stochastic Integer Programming (2005) (33)
Orderings of monomial ideals (2003) (30)
Closed asymptotic couples (2000) (29)
Liouville closed H-fields (2005) (23)
Lefschetz extensions, tight closure and big Cohen-Macaulay algebras (2004) (21)
The surreal numbers as a universal $H$-field (2015) (19)
Asymptotic differential algebra (2005) (19)
Toward a Model Theory for Transseries (2011) (17)
Residual properties of graph manifold groups (2010) (16)
Distality in valued fields and related structures (2020) (16)
The logical complexity of finitely generated commutative rings (2016) (15)
ON NUMBERS, GERMS, AND TRANSSERIES (2017) (14)
Degree bounds for Gröbner bases in algebras of solvable type (2007) (13)
An algorithm for finding symmetric Grobner bases in infinite dimensional rings (2008) (10)
Michael’s Selection Theorem in a semilinear context (2015) (9)
Reduction Mod p of Standard Bases (2005) (8)
Strongly minimal groups in the theory of compact complex spaces (2006) (8)
Maximal immediate extensions of valued differential fields (2017) (7)
Bounds and definability in polynomial rings (2003) (7)
Differentially algebraic gaps (2005) (7)
Whitney’s extension problem in o-minimal structures (2019) (6)
Julia's equation and differential transcendence (2013) (6)
A criterion for HNN extensions of finite p-groups to be residually p (2009) (6)
Some Remarks About Asymptotic Couples (1999) (5)
Logarithms of iteration matrices, and proof of a conjecture by Shadrin and Zvonkine (2010) (3)
Dimension in the realm of transseries (2016) (3)
ERRATUM FOR FINITE GENERATION OF SYMMETRIC IDEALS (2009) (3)
Revisiting closed asymptotic couples (2021) (2)
AN EFFECTIVE WEIERSTRASS DIVISION THEOREM (2007) (2)
THE ADDITIVE GROUPS OF Z AND Q WITH PREDICATES FOR BEING SQUARE-FREE (2022) (1)
Transseries and Todorov–Vernaeve’s asymptotic fields (2012) (1)
JSL volume 86 issue 2 Cover and Front matter (2021) (0)
Hardy fields, the intermediate value property, and $\omega$-freeness (2019) (0)
Chapter Three. Valued Fields (2017) (0)
Appendix A. Transseries (2017) (0)
DIFFERENTIAL TRANSCENDENCE OF ITERATIVE LOGARITHMS (2015) (0)
Chapter Six. Valued Differential Fields (2017) (0)
Chapter One. Some Commutative Algebra (2017) (0)
Appendix B. Basic Model Theory (2017) (0)
Chapter Eleven. Eventual Quantities, Immediate Extensions, and Special Cuts (2017) (0)
Chapter Ten. H-Fields (2017) (0)
Atlanta Marriott Marquis, Atlanta, Georgia January 7–8, 2005 (2005) (0)
Chapter Four. Differential Polynomials (2017) (0)
Mathematische Zeitschrift ( to appear ) H-fields and their Liouville Extensions (2005) (0)
Chapter Twelve. Triangular Automorphisms (2017) (0)
Chapter Thirteen. The Newton Polynomial (2017) (0)
Chapter Fourteen. Newtonian Differential Fields (2017) (0)
Analytic Nullstellens\"atze and the model theory of valued fields (2022) (0)
Transseries and Todorov–Vernaeve’s asymptotic fields (2013) (0)
JSL volume 86 issue 1 Cover and Front matter (2021) (0)
L O ] 1 3 D ec 2 01 7 On Numbers , Germs , and Transseries (2018) (0)
Conventions and Notations (2021) (0)
JSL volume 85 issue 1 Cover and Front matter (2020) (0)
JSL volume 85 issue 2 Cover and Front matter (2020) (0)
AN ELIMINATION THEOREM FOR MIXED REAL-INTEGER SYSTEMS (2007) (0)
Contents of Volume 28 (1987) (0)
Chapter Sixteen. Quantifier Elimination (2017) (0)
Chapter Seven. Differential-Henselian Fields (2017) (0)
Chapter Five. Linear Differential Polynomials (2017) (0)
On a differential intermediate value property (2021) (0)
Maximal Hardy Fields (2023) (0)
Chapter Fifteen. Newtonianity of Directed Unions (2017) (0)
Interpreting Random Hypergraphs in Pseudofinite Fields Özlem Beyarslan (2008) (0)
Chapter Two. Valued Abelian Groups (2017) (0)
Chapter Nine. Asymptotic Fields and Asymptotic Couples (2017) (0)
Chapter Eight. Differential-Henselian Fields with Many Constants (2017) (0)

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