L. P. D. Van Den Dries
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L. P. D. Van Den Driesmathematics Degrees
Mathematics
#7539
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#10234
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Measure Theory
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#2715
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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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Why Is L. P. D. Van Den Dries Influential?
(Suggest an Edit or Addition)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)
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