Jan Denef

3.5k total citations
57 papers, 1.5k citations indexed

About

Jan Denef is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Jan Denef has authored 57 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 40 papers in Geometry and Topology, 32 papers in Algebra and Number Theory and 22 papers in Mathematical Physics. Recurrent topics in Jan Denef's work include Algebraic Geometry and Number Theory (30 papers), Analytic Number Theory Research (12 papers) and Advanced Mathematical Identities (11 papers). Jan Denef is often cited by papers focused on Algebraic Geometry and Number Theory (30 papers), Analytic Number Theory Research (12 papers) and Advanced Mathematical Identities (11 papers). Jan Denef collaborates with scholars based in Belgium, France and United States. Jan Denef's co-authors include François Loeser, Leonard Lipshitz, Lou van den Dries, Patrick Sargos, Fréderik Vercauteren, Willem Veys, Steven Sperber, Wouter Castryck, Robert Piessens and Akihiko Gyoja and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Jan Denef

57 papers receiving 1.2k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Jan Denef Belgium	21	1.3k	782	571	396	191	57	1.5k
Герд Фалтингс Germany	19	1.9k 1.5×	1.3k 1.7×	698 1.2×	379 1.0×	154 0.8×	54	2.1k
David Masser Switzerland	20	1.0k 0.8×	433 0.6×	425 0.7×	427 1.1×	154 0.8×	85	1.2k
Kálmán Győry Hungary	18	855 0.7×	404 0.5×	655 1.1×	286 0.7×	166 0.9×	96	1.2k
Jürgen Neukirch Germany	9	1.2k 1.0×	806 1.0×	507 0.9×	224 0.6×	266 1.4×	14	1.4k
Siegfried Bosch Germany	16	1.7k 1.3×	1.3k 1.6×	396 0.7×	324 0.8×	129 0.7×	39	1.8k
Bjorn Poonen United States	22	891 0.7×	513 0.7×	312 0.5×	300 0.8×	203 1.1×	79	1.2k
Umberto Zannier Italy	20	1.3k 1.0×	507 0.6×	609 1.1×	463 1.2×	258 1.4×	166	1.5k
Bernard Dwork United States	18	679 0.5×	535 0.7×	393 0.7×	251 0.6×	95 0.5×	53	1.1k
Michel Raynaud France	14	1.6k 1.2×	966 1.2×	666 1.2×	273 0.7×	128 0.7×	26	1.7k
Marvin Tretkoff United States	7	1.1k 0.8×	923 1.2×	605 1.1×	155 0.4×	257 1.3×	23	1.4k

Countries citing papers authored by Jan Denef

Since Specialization

Citations

This map shows the geographic impact of Jan Denef'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 Jan Denef with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Jan Denef more than expected).

Fields of papers citing papers by Jan Denef

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Jan Denef. 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 Jan Denef. The network helps show where Jan Denef may publish in the future.

Co-authorship network of co-authors of Jan Denef

This figure shows the co-authorship network connecting the top 25 collaborators of Jan Denef. A scholar is included among the top collaborators of Jan Denef 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 Jan Denef. Jan Denef 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

Denef, Jan & Fréderik Vercauteren. (2005). Counting points onCabcurves using Monsky–Washnitzer cohomology. Finite Fields and Their Applications. 12(1). 78–102. 14 indexed citations

Denef, Jan, Johannes Nicaise, & Patrick Sargos. (2005). Oscillating integrals and Newton polyhedra. Journal d Analyse Mathématique. 95(1). 147–172. 8 indexed citations

Denef, Jan & François Loeser. (2002). Motivic Integration, Quotient Singularities and the McKay Correspondence. Compositio Mathematica. 131(3). 267–290. 46 indexed citations

Denef, Jan & François Loeser. (2002). Lefschetz numbers of iterates of the monodromy and truncated arcs. Topology. 41(5). 1031–1040. 38 indexed citations

Denef, Jan & Steven Sperber. (2001). Exponential sums mod p(n) and Newton polyhedra. 55–63. 11 indexed citations

Denef, Jan, et al.. (2001). Newton Polyhedra and Igusa's Local Zeta Function. Journal of Number Theory. 89(1). 31–64. 25 indexed citations

Denef, Jan. (2000). Hilbert's tenth problem : relations with arithmetic and algebraic geometry : Workshop on Hilbert's Tenth Problem : Relations with Arithmetic and Algebraic Geometry, November 2-5, 1999, Ghent University, Belgium. American Mathematical Society eBooks. 1 indexed citations

Denef, Jan. (2000). Hilbert’s Tenth Problem: Relations with Arithmetic and Algebraic Geometry. Contemporary mathematics - American Mathematical Society. 24 indexed citations

Denef, Jan & François Loeser. (1998). Motivic Igusa zeta functions. arXiv (Cornell University). 7(3). 505–537. 119 indexed citations

10.

Denef, Jan & Akihiko Gyoja. (1998). Character Sums Asociated to Prehomogeneous Vector Spaces. Compositio Mathematica. 113(3). 273–346. 8 indexed citations

11.

Denef, Jan, et al.. (1997). ON THE LARGEST NONTRIVAL POLE OF THE DISTRIBUTION $|f|^s$. Kyoto University Research Information Repository (Kyoto University). 999. 1–9. 1 indexed citations

12.

Denef, Jan & François Loeser. (1995). Regular elements and monodromy of discriminants of finite reflection groups. Indagationes Mathematicae. 6(2). 129–143. 8 indexed citations

13.

Denef, Jan & Willem Veys. (1995). On the holomorphy conjecture for Igusa’s local zeta function. Proceedings of the American Mathematical Society. 123(10). 2981–2988. 10 indexed citations

14.

Denef, Jan & François Loeser. (1994). Détermination géométrique des sommes de Selberg-Evans. Bulletin de la Société mathématique de France. 122(4). 533–551. 2 indexed citations

15.

Denef, Jan. (1993). Degree of local zeta functions and monodromy. Compositio Mathematica. 89(2). 207–216. 19 indexed citations

16.

Denef, Jan. (1991). Report on Igusa's local zeta function. Astérisque. 33(201). 359–386. 80 indexed citations

17.

Denef, Jan & Patrick Sargos. (1989). Newton polyhedra and the distribution fs+ .1. Journal d Analyse Mathématique. 53. 201–218. 11 indexed citations

18.

Denef, Jan & Leonard Lipshitz. (1987). Algebraic power series and diagonals. Journal of Number Theory. 26(1). 46–67. 36 indexed citations

19.

Denef, Jan. (1985). Poles of $p$-adic complex powers and Newton polyhedra. French digital mathematics library (Numdam). 12(1). 1–3. 14 indexed citations

20.

Piessens, Robert & Jan Denef. (1972). Hoge-orde iteratieformules voor de berekening van de nulpunten van bijzondere funkties. Bulletin of the Belgian Mathematical Society - Simon Stevin. 53–61. 1 indexed citations

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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