Lou van den Dries

4.2k citations

99 papers · 2.1k indexed · 1 hit paper · h-index 24

Geometry and Topology top 0.2%
Mathematical Physics top 0.5%
Computational Theory and Mathematics top 0.5%
Algebra and Number Theory top 2%
Applied Mathematics top 2%

Co-authors: Chris Miller Angus Macintyre Jan Denef David Marker Patrick Speissegger A. J. Wilkie Matthias Aschenbrenner Kai‐Uwe Schmidt
Topics: Advanced Topology and Set Theory (35 papers)Algebraic Geometry and Number Theory (29 papers)Mathematical and Theoretical Analysis (17 papers)
Cited by: Geometry and Topology Mathematical Physics Algebra and Number Theory
Journals: Annals of Mathematics Lecture notes in mathematics Transactions of the American Mathematical Society
Partner nations: United States United Kingdom France

In The Last Decade

Lou van den Dries

90 papers receiving 1.8k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Geometric categories and o-minimal structures

1996 315 citations Lou van den Dries et al. profile →

Peers

Countries citing papers authored by Lou van den Dries

Since Specialization

Citations

This map shows the geographic impact of Lou van den Dries's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Lou van den Dries with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Lou van den Dries more than expected).

Fields of papers citing papers by Lou van den Dries

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Lou van den Dries. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Lou van den Dries. The network helps show where Lou van den Dries may publish in the future.

Co-authorship network of co-authors of Lou van den Dries

This figure shows the co-authorship network connecting the top 25 collaborators of Lou van den Dries. A scholar is included among the top collaborators of Lou van den Dries based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Lou van den Dries. Lou van den Dries is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	Notices 2018 ·Bulletin of Symbolic Logic ·(unknown),Matthias Aschenbrenner,Lou van den Dries,(unknown),Thomas Scanlon,(unknown),(unknown),(unknown),(unknown),(unknown),(unknown),(unknown),(unknown),(unknown),(unknown),(unknown),(unknown),(unknown),(unknown),(unknown),(unknown),(unknown),(unknown),(unknown),(unknown),(unknown),(unknown),(unknown),(unknown),(unknown)	1
2	Homogeneous universal 𝐻-fields 2018 ·Proceedings of the American Mathematical Society ·Lou van den Dries,Philip Ehrlich	1
3	Hilbert’s 5th Problem 2016 ·Lou van den Dries,(unknown)	4
4	Division rings whose vector spaces are pseudofinite 2010 ·Journal of Symbolic Logic ·Lou van den Dries,(unknown)	2
5	Mann pairs 2009 ·Transactions of the American Mathematical Society ·Lou van den Dries,(unknown)	2
6	Locally Compact Contractive Local Groups 2009 ·Journal of Lie theory ·Lou van den Dries,(unknown)	1
7	Isomorphism of complete local noetherian rings and strong approximation 2008 ·Proceedings of the American Mathematical Society ·Lou van den Dries	2
8	Liouville closedH-fields 2004 ·Journal of Pure and Applied Algebra ·Matthias Aschenbrenner,Lou van den Dries	8
9	Logarithmic-exponential series 2001 ·Annals of Pure and Applied Logic ·Lou van den Dries,Angus Macintyre,David Marker	29
10	An intermediate value property for first-order differential polynomials 2000 ·Lou van den Dries	2
11	Logarithmic-Exponential Power Series 1997 ·Journal of the London Mathematical Society ·Lou van den Dries,Angus Macintyre,David Marker	39
12	o-Minimal Structures 1996 ·Clarendon Press eBooks ·Lou van den Dries	29
13	Quantifier elimination for modules with scalar variables 1992 ·Annals of Pure and Applied Logic ·Lou van den Dries,(unknown)	5
14	Dimension of definable sets, algebraic boundedness and Henselian fields 1989 ·Annals of Pure and Applied Logic ·Lou van den Dries	48
15	On the elementary theory of restricted elementary functions 1988 ·Journal of Symbolic Logic ·Lou van den Dries	29
16	An application of tarskis principle to absolute Galois groups of function fields 1987 ·Annals of Pure and Applied Logic ·Lou van den Dries,Paulo Ribenboim	1
17	Gromov's theorem on groups of polynomial growth and elementary logic 1984 ·Journal of Algebra ·Lou van den Dries,A. J. Wilkie	94
18	Elimination of quantifiers in algebraic structures 1983 ·Advances in Mathematics ·Angus Macintyre,K.F. McKenna,Lou van den Dries	36
19	A specialization theorem for analytic functions on compact sets 1982 ·Indagationes Mathematicae (Proceedings) ·Lou van den Dries	6
20	Some applications of a model theoretic fact to (semi-) algebraic geometry 1982 ·Indagationes Mathematicae (Proceedings) ·Lou van den Dries	16

About Lou van den Dries

Lou van den Dries is a scholar working on Geometry and Topology, Theoretical Computer Science and Mathematical Physics, having authored 99 papers that have together received 2.1k indexed citations. Recurring topics across this work include Advanced Topology and Set Theory (35 papers), Algebraic Geometry and Number Theory (29 papers) and Mathematical and Theoretical Analysis (17 papers). The work is most often cited by research in Geometry and Topology (1.6k citations), Mathematical Physics (1.1k citations) and Algebra and Number Theory (461 citations). Lou van den Dries has collaborated with scholars based in United States, United Kingdom and France. Frequent co-authors include Chris Miller, Angus Macintyre, Jan Denef, David Marker, Patrick Speissegger, A. J. Wilkie, Matthias Aschenbrenner, Kai‐Uwe Schmidt, Joris van der Hoeven and Alexander Lubotzky. Their work appears in journals such as Annals of Mathematics, Lecture notes in mathematics and Transactions of the American Mathematical Society.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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