Michael Reeken

491 total citations
32 papers, 296 citations indexed

About

Michael Reeken is a scholar working on Mathematical Physics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Michael Reeken has authored 32 papers receiving a total of 296 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Mathematical Physics, 13 papers in Geometry and Topology and 9 papers in Computational Theory and Mathematics. Recurrent topics in Michael Reeken's work include Mathematical and Theoretical Analysis (12 papers), Advanced Topology and Set Theory (11 papers) and Computability, Logic, AI Algorithms (7 papers). Michael Reeken is often cited by papers focused on Mathematical and Theoretical Analysis (12 papers), Advanced Topology and Set Theory (11 papers) and Computability, Logic, AI Algorithms (7 papers). Michael Reeken collaborates with scholars based in Germany, Russia and Switzerland. Michael Reeken's co-authors include Vladimir Kanovei, Stuart S. Antman, Norman W. Bazley and J. C. Alexander and has published in prestigious journals such as Journal of Mathematical Physics, SIAM Journal on Mathematical Analysis and Mathematische Annalen.

In The Last Decade

Michael Reeken

31 papers receiving 250 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Michael Reeken Germany 9 162 108 76 72 35 32 296
Aurel Cornea Germany 8 248 1.5× 179 1.7× 153 2.0× 304 4.2× 26 0.7× 19 522
Piotr Antosik United States 5 139 0.9× 47 0.4× 34 0.4× 101 1.4× 19 0.5× 12 266
Czes Kosniowski United Kingdom 10 171 1.1× 50 0.5× 197 2.6× 50 0.7× 11 0.3× 26 327
H. A. Biagioni Brazil 10 342 2.1× 33 0.3× 13 0.2× 167 2.3× 87 2.5× 21 397
Marcel Brelot France 10 247 1.5× 195 1.8× 165 2.2× 377 5.2× 17 0.5× 29 593
Günther Hörmann Austria 12 289 1.8× 29 0.3× 19 0.3× 128 1.8× 21 0.6× 35 344
Michel Hervé France 7 91 0.6× 53 0.5× 76 1.0× 130 1.8× 18 0.5× 14 236
L. Roth United Kingdom 6 71 0.4× 82 0.8× 172 2.3× 26 0.4× 12 0.3× 18 306
H. S. Bear United States 11 117 0.7× 87 0.8× 93 1.2× 119 1.7× 9 0.3× 31 337
Joseph Hersch Switzerland 11 177 1.1× 209 1.9× 111 1.5× 226 3.1× 17 0.5× 34 466

Countries citing papers authored by Michael Reeken

Since Specialization
Citations

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

Fields of papers citing papers by Michael Reeken

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Michael Reeken

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

All Works

20 of 20 papers shown
1.
Kanovei, Vladimir & Michael Reeken. (2004). Nonstandard Analysis, Axiomatically. Springer monographs in mathematics. 47 indexed citations
2.
Kanovei, Vladimir & Michael Reeken. (2003). Некоторые новые результаты о борелевской несводимости отношений эквивалентности. Известия Российской академии наук Серия математическая. 67(1). 59–82.
3.
Kanovei, Vladimir & Michael Reeken. (2003). Borel and Countably Determined Reducibility in Nonstandard Domain. Monatshefte für Mathematik. 140(3). 197–231. 1 indexed citations
4.
Kanovei, Vladimir, et al.. (2001). On Borel orderable groups. Topology and its Applications. 109(3). 285–299. 2 indexed citations
5.
Kanovei, Vladimir & Michael Reeken. (2000). On Baire Measurable Homomorphisms of Quotients of the Additive Group of the Reals. Mathematical logic quarterly. 46(3). 377–384. 2 indexed citations
6.
Kanovei, Vladimir & Michael Reeken. (1998). Elementary Extensions of External Classes in a Nonstandard Universe. Studia Logica. 60(2). 253–273. 1 indexed citations
7.
Kanovei, Vladimir & Michael Reeken. (1997). MATHEMATICS IN A NONSTANDARD WORLD I. Mathematica japonica. 45(2). 369–408. 11 indexed citations
8.
Kanovei, Vladimir & Michael Reeken. (1997). Isomorphism property in nonstandard extensions of theZFC universe. Annals of Pure and Applied Logic. 88(1). 1–25. 4 indexed citations
9.
Kanovei, Vladimir & Michael Reeken. (1996). Internal approach to external sets and universes. Studia Logica. 56(3). 293–322. 8 indexed citations
10.
Kanovei, Vladimir & Michael Reeken. (1996). Loeb Measure from the Point of View of a Coin Flipping Game. Mathematical logic quarterly. 42(1). 19–26. 1 indexed citations
11.
Kanovei, Vladimir & Michael Reeken. (1995). Internal approach to external sets and universes. Studia Logica. 55(3). 347–376. 7 indexed citations
12.
Antman, Stuart S. & Michael Reeken. (1987). The Drawing and Whirling of Strings: Singular Global Multiparameter Bifurcation Problems. SIAM Journal on Mathematical Analysis. 18(2). 337–365. 10 indexed citations
13.
Reeken, Michael. (1984). Exotic equilibrium states of the elastic string. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 96(3-4). 289–302. 5 indexed citations
14.
Reeken, Michael. (1984). The rotating string. Mathematische Annalen. 268(1). 59–84. 4 indexed citations
15.
Reeken, Michael. (1980). Rotating chain fixed at two points vertically above each other. Rocky Mountain Journal of Mathematics. 10(2). 3 indexed citations
16.
Reeken, Michael. (1979). Classical solutions of the chain equation. I. Mathematische Zeitschrift. 165(2). 143–169. 7 indexed citations
17.
Reeken, Michael. (1974). Stability of Critical Values and Isolated Critical Continua. manuscripta mathematica. 12(2). 163–193. 2 indexed citations
18.
Bazley, Norman W. & Michael Reeken. (1973). Lower bounds for critical values. Applicable Analysis. 3(3). 209–211. 2 indexed citations
19.
Reeken, Michael. (1973). Stability of critical points under small perturbations part II: Analytic theory. manuscripta mathematica. 8(1). 69–92. 19 indexed citations
20.
Reeken, Michael. (1970). General Theorem on Bifurcation and Its Application to the Hartree Equation of the Helium Atom. Journal of Mathematical Physics. 11(8). 2505–2512. 52 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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