L. P. D. Van Den Dries

L. P. D. Van Den Dries's AcademicInfluence.com Rankings

Mathematics

#7539

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#10234

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Measure Theory

#2264

World Rank

#2715

Historical Rank

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Mathematics

L. P. D. Van Den Dries's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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L. P. D. Van Den Dries'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

Geometric categories and o-minimal structures (1996) (647)
Tame Topology and O-minimal Structures (1998) (577)
P-adic and real subanalytic sets (1988) (349)
The Elementary Theory of Restricted Analytic Fields with Exponentiation (1994) (303)
Gromov's theorem on groups of polynomial growth and elementary logic (1984) (219)
A generalization of the Tarski-Seidenberg theorem, and some nondefinability results (1986) (176)
On the real exponential field with restricted analytic functions (1995) (145)
Definable sets over finite fields. (1992) (131)
T-convexity and tame extensions (1995) (124)
THE REAL FIELD WITH CONVERGENT GENERALIZED POWER SERIES (1998) (124)
Bounds in the theory of polynomial rings over fields. A nonstandard approach (1984) (121)
Remarks on Tarski's problem concerning (R, +, *, exp) (1984) (118)
The Field of Reals with Multisummable Series and the Exponential Function (2000) (118)
Dense pairs of o-minimal structures (1998) (109)
Dimension of Definable Sets, Algebraic Boundedness and Henselian Fields (1989) (106)
Alfred Tarski's Elimination Theory for Real Closed Fields (1988) (87)
Algebraic Theories with Definable Skolem Functions (1984) (77)
Logarithmic-exponential series (2001) (75)
Asymptotic Differential Algebra and Model Theory of Transseries (2015) (73)
Elimination of Quantifiers in Algebraic Structures (1983) (72)
Multiplex PCR amplification from the CFTR gene using DNA prepared from buccal brushes/swabs (1986) (70)
On the structure of semialgebraic sets over p-adic fields (1988) (70)
The field of reals with a predicate for the powers of two (1985) (68)
On the elementary theory of restricted elementary functions (1988) (58)
Exponential rings, exponential polynomials and exponential functions (1984) (56)
Fields of surreal numbers and exponentiation (2001) (56)
On the real exponential field with restricted analytic functions (1994) (55)
T-Convexity and Tame Extensions II (1997) (50)
Elimination theory for the ring of algebraic integers. (1988) (42)
Lectures on the model theory of valued fields (2014) (40)
Analytic Ax-Kochen-Ersov theorems (1992) (35)
Subgroups of free profinite groups and large subfields of $$\mathop Q\limits^ \sim $$ (1981) (33)
An effective bound for groups of linear growth (1984) (33)
O-minimal Structures and Real Analytic Geometry (1998) (32)
Some model theory and number theory for models of weak systems of arithmetic (1980) (32)
Some applications of a model theoretic fact to (semi-) algebraic geometry (1982) (30)
Decidability and undecidability theorems for PAC-fields (1981) (30)
Closed asymptotic couples (2000) (29)
o-Minimal structures (1996) (29)
Extending Tamm's theorem (1994) (27)
Weil's group chunk theorem: A topological setting (1990) (25)
O-minimal preparation theorems (2002) (24)
Liouville closed H-fields (2005) (23)
Injective polynomial maps and the Jacobian conjecture (1983) (22)
The logic of Rumely's local-global principle. (1990) (21)
Quantifier elimination for linear formulas over ordered and valued fields (1981) (21)
Tarski's Problem and Pfaffian Functions (1986) (21)
Algorithms and Bounds for Polynomial Rings (1979) (20)
Asymptotic differential algebra (2005) (19)
The surreal numbers as a universal $H$-field (2015) (19)
Surjective polynomial maps, and a remark on the jacobian problem (1990) (18)
Toward a Model Theory for Transseries (2011) (17)
Generating the Greatest Common Divisor, and Limitations of Primitive Recursive Algorithms (2003) (17)
Elementary theory of valued fields with a valuation-preserving automorphism (2010) (17)
Arithmetic complexity (2019) (15)
Is the Euclidean Algorithm Optimal Among its Peers? (2004) (14)
ON NUMBERS, GERMS, AND TRANSSERIES (2017) (14)
A specialization theorem for analytic functions on compact sets (1982) (12)
New decidable fields of algebraic numbers (1979) (11)
University of California at Berkeley Berkeley, CA, USA March 24–27, 2011 (2012) (11)
A remark on Ax's theorem on solvability modulo primes (1991) (11)
WHICH CURVES OVER Z HAVE POINTS WITH COORDINATES IN A DISCRETE ORDERED RING (1981) (11)
Model Theory in Algebra, Analysis and Arithmetic (2014) (10)
Classical Model Theory of Fields (2000) (9)
Quantifier Elimination for Modules with Scalar Variables (1992) (9)
An intermediate value property for first-order differential polynomials (2000) (9)
On Skolem’s exponential functions below 2^{2^{}} (1984) (9)
A specialization theorem for p-adic power series converging on the closed unit disc (1981) (8)
Hilbert's 5th problem (2015) (8)
On the elementary theory of rings of Witt vectors with a multiplicative set of representatives for the residue field (1999) (8)
Analytic Hardy fields and exponential curves in the real plane (1984) (8)
Maximal immediate extensions of valued differential fields (2017) (7)
A completeness theorem for trigonometric identities and various results on exponential functions (1986) (7)
Differentially algebraic gaps (2005) (7)
Locally Compact Contractive Local Groups (2009) (7)
On Skolem's exponential functions below $2^2^X$ (1984) (6)
Triangulation in o-minimal fields with standard part map (2009) (6)
The laws of integer divisibility, and solution sets of linear divisibility conditions (2003) (6)
Globalizing locally compact local groups (2010) (6)
Erratum to "Fields of surreal numbers and exponentiation" (Fund. Math. 167 (2001), 173-188) (2001) (5)
Tame Topology and O-minimal Structures: CELL DECOMPOSITION (1998) (5)
Division rings whose vector spaces are pseudofinite (2010) (4)
A Polish group without Lie sums (2009) (4)
A linearly ordered ring whose theory admits elimination of quantifiers is a real closed field (1980) (4)
Invariant measures on groups satisfying various chain conditions (2011) (4)
Tame Topology and O-minimal Structures: PREFACE (1998) (3)
Correction to "T-Convexity and Tame Extensions II" (1998) (3)
An application of tarskis principle to absolute Galois groups of function fields (1987) (3)
o-minimal structures on the field of real numbers (1996) (3)
Dimension in the realm of transseries (2016) (3)
Definable equivalence relations on algebraically closed fields (1989) (3)
Logarithmic hyperseries (2018) (3)
ISOMORPHISM OF COMPLETE LOCAL NOETHERIAN RINGS AND STRONG APPROXIMATION (2008) (2)
Approximate groups [according to Hrushovski and Breuillard, Green, Tao] (2015) (2)
Model theory of valued fields Lecture Notes (2016) (2)
Elementary equivalence and the commutator subgroup (1982) (2)
Equivalence of Valued Fields with Valuation Preserving Automorphism (2009) (2)
Homogeneous universal $H$-fields (2018) (2)
Tame Topology and O-minimal Structures: REFERENCES (1998) (2)
Elementary equivalence and codimension in p-adic fields (1988) (2)
Tame Topology and O-minimal Structures: THE VAPNIK-CHERVONENKIS PROPERTY IN O-MINIMAL STRUCTURES (1998) (1)
Erratum: Globalizing locally compact local groups (Journal of Lie Theory (2010) 20 (519-524)) (2012) (1)
TO MODEL-THEORETIC STABILITY (1)
Convergent Series Expansions of a New Type for Exponential Functions (1989) (1)
On the Pila-Wilkie theorem (2020) (1)
Tame Topology and O-minimal Structures: HINTS AND SOLUTIONS (1998) (1)
Tame Topology and O-minimal Structures: SEMIALGEBRAIC SETS (1998) (1)
Erratum to ‘Mann pairs’ (2011) (1)
Decidable regularly closed fields of algebraic numbers (1985) (1)
Asymptotic Relations and Exponentiation 3 2 (2003) (0)
Chapter Seven. Differential-Henselian Fields (2017) (0)
Model theory in algebra, analysis and arithmetic : Cetraro, Italy 2012 (2014) (0)
Chapter Eleven. Eventual Quantities, Immediate Extensions, and Special Cuts (2017) (0)
Tame Topology and O-minimal Structures: PREREQUISITES (1998) (0)
Chapter Eight. Differential-Henselian Fields with Many Constants (2017) (0)
ON SKOLEM'S EXPONENTIAL FUNCTIONS BELOW 22* BY LOU VAN DEN DRIES AND HILBERT LEVITZ (2010) (0)
Chapter Four. Differential Polynomials (2017) (0)
On the integer zeros of exponential polynomials (1993) (0)
Mathematische Zeitschrift ( to appear ) H-fields and their Liouville Extensions (2005) (0)
Chapter Twelve. Triangular Automorphisms (2017) (0)
The Euclidean algorithm on the natural numbers Æ= 0, 1,... can be specified succinctly by the recursive program (2004) (0)
Chapter Five. Linear Differential Polynomials (2017) (0)
SOME ELEMENTARY RESULTS (1998) (0)
REVIEWS-Two papers (2000) (0)
Conventions and Notations (2021) (0)
On explicit definability in arithmetic (2006) (0)
Chapter Fourteen. Newtonian Differential Fields (2017) (0)
Tame Topology and O-minimal Structures: TRIANGULATION (1998) (0)
2018 NORTH AMERICAN ANNUAL MEETING OF THE ASSOCIATION FOR SYMBOLIC LOGIC Western Illinois University, Macomb, IL, USA May 16–19, 2018 (2018) (0)
Chapter One. Some Commutative Algebra (2017) (0)
Hardy fields, the intermediate value property, and $\omega$-freeness (2019) (0)
Chapter Two. Valued Abelian Groups (2017) (0)
Chapter Fifteen. Newtonianity of Directed Unions (2017) (0)
Meetings & Conferences of the AMS (2002) (0)
Chapter Nine. Asymptotic Fields and Asymptotic Couples (2017) (0)
Appendix A. Transseries (2017) (0)
POINT-SET TOPOLOGY IN O-MINIMAL STRUCTURES (1998) (0)
Reducing to prime characteristic : by means of Artin approximation and constructible properties, and applied to Hochster algebras (1983) (0)
Chapter Six. Valued Differential Fields (2017) (0)
Appendix B. Basic Model Theory (2017) (0)
Chapter Ten. H-Fields (2017) (0)
Reducing to prime characteristic (1983) (0)
Chapter Thirteen. The Newton Polynomial (2017) (0)
JSL volume 62 issue 4 Cover and Back matter and Errata (1997) (0)
DEFINABLE INVARIANTS: DIMENSION AND EULER CHARACTERISTIC (1998) (0)
HARDY FIELDS, THE INTERMEDIATE VALUE PROPERTY, AND ω-FREENESS (2019) (0)
Truncation in Hahn fields (2014) (0)
L O ] 1 3 D ec 2 01 7 On Numbers , Germs , and Transseries (2018) (0)
Chapter Sixteen. Quantifier Elimination (2017) (0)
On a differential intermediate value property (2021) (0)
Maximal Hardy Fields (2023) (0)
Tame Topology and O-minimal Structures: DEFINABLE SPACES AND QUOTIENTS (1998) (0)
Chapter Three. Valued Fields (2017) (0)