Arno van den Essen

2.2k total citations
84 papers, 782 citations indexed

About

Arno van den Essen is a scholar working on Geometry and Topology, Statistical and Nonlinear Physics and Algebra and Number Theory. According to data from OpenAlex, Arno van den Essen has authored 84 papers receiving a total of 782 indexed citations (citations by other indexed papers that have themselves been cited), including 72 papers in Geometry and Topology, 24 papers in Statistical and Nonlinear Physics and 18 papers in Algebra and Number Theory. Recurrent topics in Arno van den Essen's work include Advanced Differential Equations and Dynamical Systems (67 papers), Algebraic Geometry and Number Theory (22 papers) and Advanced Topics in Algebra (17 papers). Arno van den Essen is often cited by papers focused on Advanced Differential Equations and Dynamical Systems (67 papers), Algebraic Geometry and Number Theory (22 papers) and Advanced Topics in Algebra (17 papers). Arno van den Essen collaborates with scholars based in Netherlands, United States and France. Arno van den Essen's co-authors include Engelbert Hubbers, Wenhua Zhao, David L. Wright, Peter van Rossum, Anna Cima, Armengol Gasull, Francesc Mañosas, Vladimir Shpilrain, Harm Derksen and Jie-Tai Yu and has published in prestigious journals such as Transactions of the American Mathematical Society, American Mathematical Monthly and Advances in Mathematics.

In The Last Decade

Arno van den Essen

79 papers receiving 710 citations

Peers

Arno van den Essen

ANT

SNP

CTM

Jie-Tai Yu Hong Kong

E. H. Connell United States

Misha Gromov France

J. Chavarriga Spain

Haynes Miller United States

Michael Kinyon United States

Francesc Mañosas Spain

Isaac A. García Spain

Ciro Ciliberto Italy

Jie-Tai Yu Hong Kong

Arno van den Essen

291 ×0.4

173 ×0.6

ANT

51 ×0.2

SNP

132 ×0.8

CTM

61 ×0.6

Citations per year, relative to Arno van den Essen Arno van den Essen (= 1×) peers Jie-Tai Yu

Countries citing papers authored by Arno van den Essen

Since Specialization

Citations

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

Fields of papers citing papers by Arno van den Essen

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Arno van den Essen. 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 Arno van den Essen. The network helps show where Arno van den Essen may publish in the future.

Co-authorship network of co-authors of Arno van den Essen

This figure shows the co-authorship network connecting the top 25 collaborators of Arno van den Essen. A scholar is included among the top collaborators of Arno van den Essen 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 Arno van den Essen. Arno van den Essen is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Essen, Arno van den, et al.. (2014). \nThe strong factorial conjecture. Radboud Repository (Radboud University). 3 indexed citations

Essen, Arno van den, David L. Wright, & Wenhua Zhao. (2011). Images of locally finite derivations of polynomial algebras in two variables. Journal of Pure and Applied Algebra. 215(9). 2130–2134. 15 indexed citations

Derksen, Harm, et al.. (2011). Unipotent group actions on affine varieties. Journal of Algebra. 336(1). 200–208. 1 indexed citations

Essen, Arno van den, David L. Wright, & Wenhua Zhao. (2011). On the Image Conjecture. Journal of Algebra. 340(1). 211–224. 14 indexed citations

Essen, Arno van den, et al.. (2005). \nThe Jacobian Conjecture: Linear triangularization for homogeneous polynomial maps in dimension three. Radboud Repository (Radboud University). 16 indexed citations

Chamberland, Marc & Arno van den Essen. (2005). Nilpotent Jacobians in dimension three. Journal of Pure and Applied Algebra. 205(1). 146–155. 6 indexed citations

Essen, Arno van den, et al.. (2004). On the recognition problem of quasi-homogeneous locally nilpotent derivations in dimension three. Journal of Pure and Applied Algebra. 194(3). 273–279. 1 indexed citations

Essen, Arno van den, et al.. (2004). Nilpotent symmetric Jacobian matrices and the Jacobian conjecture. Journal of Pure and Applied Algebra. 193(1-3). 61–70. 12 indexed citations

Essen, Arno van den, et al.. (2003). Polynomial automorphisms and invariants. Journal of Algebra. 269(1). 317–328. 1 indexed citations

10.

Bikker, Jan Willem, et al.. (2003). Adapting coordinates. Journal of Pure and Applied Algebra. 184(2-3). 165–174. 5 indexed citations

11.

Essen, Arno van den & Engelbert Hubbers. (1997). Chaotic Polynomial Automorphisms: Counterexamples to Several Conjectures. Advances in Applied Mathematics. 18(3). 382–388. 10 indexed citations

12.

Essen, Arno van den & Engelbert Hubbers. (1997). Dn(A) for a Class of Polynomial Automorphisms and Stably Tameness. Journal of Algebra. 192(1). 460–475. 2 indexed citations

13.

Essen, Arno van den, et al.. (1997). A class of triangular derivations having a slice. Journal of Pure and Applied Algebra. 114(2). 209–215. 1 indexed citations

14.

Essen, Arno van den & Vladimir Shpilrain. (1997). Some combinatorial questions about polynomial mappings. Journal of Pure and Applied Algebra. 119(1). 47–52. 20 indexed citations

15.

Essen, Arno van den & Engelbert Hubbers. (1996). A new class of invertible polynomial maps. Data Archiving and Networked Services (DANS). 6 indexed citations

16.

Essen, Arno van den. (1993). An Algorithm To Compute The Invariant Ring Of A Ga-action On An Affine Variety. Journal of Symbolic Computation. 16(6). 551–555. 30 indexed citations

17.

Essen, Arno van den & T. Parthasarathy. (1992). Polynomial maps and a conjecture of Samuelson. Linear Algebra and its Applications. 177. 191–195. 5 indexed citations

18.

Essen, Arno van den, et al.. (1992). On the reconstruction of polynomial automorphisms from their face polynomials. Journal of Pure and Applied Algebra. 80(3). 327–336. 6 indexed citations

19.

Essen, Arno van den. (1991). A note on Meisters and Olech’s proof of the global asymptotic stability Jacobian conjecture. Pacific Journal of Mathematics. 151(2). 351–356. 17 indexed citations

20.

Essen, Arno van den. (1985). The cokernel of the operator $\partial / \partial x_n$ acting on a $\mathcal {D}_n$-module, II. Compositio Mathematica. 56(2). 259–269. 4 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.

Explore authors with similar magnitude of impact