Roman Kossak

441 total citations
39 papers, 242 citations indexed

About

Roman Kossak is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Roman Kossak has authored 39 papers receiving a total of 242 indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Geometry and Topology, 23 papers in Computational Theory and Mathematics and 16 papers in Mathematical Physics. Recurrent topics in Roman Kossak's work include Advanced Topology and Set Theory (21 papers), Computability, Logic, AI Algorithms (15 papers) and Mathematical and Theoretical Analysis (11 papers). Roman Kossak is often cited by papers focused on Advanced Topology and Set Theory (21 papers), Computability, Logic, AI Algorithms (15 papers) and Mathematical and Theoretical Analysis (11 papers). Roman Kossak collaborates with scholars based in United States, Poland and United Kingdom. Roman Kossak's co-authors include James H. Schmerl, Henryk Kotlarski, Richard Kaye, J. B. Paris and А. А. Иванов and has published in prestigious journals such as American Mathematical Monthly, Proceedings of the American Mathematical Society and Journal of the London Mathematical Society.

In The Last Decade

Roman Kossak

29 papers receiving 166 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Roman Kossak United States 9 175 144 105 69 39 39 242
Henryk Kotlarski Poland 11 169 1.0× 195 1.4× 96 0.9× 62 0.9× 85 2.2× 35 311
Mirna Džamonja United Kingdom 11 276 1.6× 160 1.1× 191 1.8× 53 0.8× 19 0.5× 59 322
Tapani Hyttinen Finland 11 299 1.7× 236 1.6× 156 1.5× 77 1.1× 70 1.8× 63 378
Ernest Schimmerling United States 11 329 1.9× 275 1.9× 198 1.9× 59 0.9× 19 0.5× 26 341
M. Foreman United States 4 218 1.2× 156 1.1× 138 1.3× 61 0.9× 11 0.3× 8 234
Zoé Chatzidakis France 9 314 1.8× 130 0.9× 191 1.8× 101 1.5× 22 0.6× 36 356
Ludomir Newelski Poland 10 225 1.3× 124 0.9× 143 1.4× 44 0.6× 28 0.7× 42 265
William N. Reinhardt United States 6 189 1.1× 186 1.3× 114 1.1× 57 0.8× 57 1.5× 8 307
Damien Roy Canada 10 143 0.8× 129 0.9× 158 1.5× 89 1.3× 28 0.7× 38 273
Ivan Fesenko United Kingdom 7 231 1.3× 68 0.5× 164 1.6× 100 1.4× 23 0.6× 31 293

Countries citing papers authored by Roman Kossak

Since Specialization
Citations

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

Fields of papers citing papers by Roman Kossak

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Roman Kossak

This figure shows the co-authorship network connecting the top 25 collaborators of Roman Kossak. A scholar is included among the top collaborators of Roman Kossak 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 Roman Kossak. Roman Kossak 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.
Kossak, Roman. (2022). Philosophy of Mathematics. The Mathematical Intelligencer. 44(4). 397–398. 1 indexed citations
2.
Kossak, Roman, et al.. (2017). Simplicity: Ideals of Practice in Mathematics and the Arts. CERN Document Server (European Organization for Nuclear Research). 7 indexed citations
3.
Kossak, Roman. (2011). What is... a Resplendent Structure. Notices of the American Mathematical Society. 58(6). 812–814. 1 indexed citations
4.
Kossak, Roman, et al.. (2010). Studies in weak arithmetics. 3 indexed citations
5.
Kossak, Roman, et al.. (2010). The Complexity of Classification Problems for Models of Arithmetic. Bulletin of Symbolic Logic. 16(3). 345–358.
6.
Kossak, Roman & James H. Schmerl. (2006). The Structure of Models of Peano Arithmetic. Oxford University Press eBooks. 46 indexed citations
7.
Kossak, Roman, et al.. (2004). Nonstandard Models of Arithmetic and Set Theory. Contemporary mathematics - American Mathematical Society. 13 indexed citations
8.
Kossak, Roman. (2004). A note on a theorem of Kanovei. Archive for Mathematical Logic. 43(4). 565–569. 2 indexed citations
9.
Kossak, Roman. (2003). Undefinability of truth and nonstandard models. Annals of Pure and Applied Logic. 126(1-3). 115–123. 2 indexed citations
10.
Иванов, А. А. & Roman Kossak. (2003). Automorphism group actions on trees. Mathematical logic quarterly. 50(1). 71–76.
11.
Kossak, Roman. (1996). What Are Infinitesimals and Why They Cannot Be Seen. American Mathematical Monthly. 103(10). 846–853. 1 indexed citations
12.
Kaye, Richard, Roman Kossak, & Henryk Kotlarski. (1991). Automorphisms of recursively saturated models of arithmetic. Annals of Pure and Applied Logic. 55(1). 67–99. 31 indexed citations
13.
Kossak, Roman. (1991). A Correction to "On Extensions of Models of Strong Fragments of Arithmetic". Proceedings of the American Mathematical Society. 112(3). 913–913. 1 indexed citations
14.
Kossak, Roman & James H. Schmerl. (1991). Minimal satisfaction classes with an application to rigid models of Peano arithmetic.. Notre Dame Journal of Formal Logic. 32(3). 11 indexed citations
15.
Kossak, Roman. (1990). On Extensions of Models of Strong Fragments of Arithmetic. Proceedings of the American Mathematical Society. 108(1). 223–223.
16.
Kossak, Roman. (1990). On extensions of models of strong fragments of arithmetic. Proceedings of the American Mathematical Society. 108(1). 223–223. 7 indexed citations
17.
Kossak, Roman, et al.. (1989). A note on the multiplicative semigroup of models of Peano arithmetic. Journal of Symbolic Logic. 54(3). 936–940. 2 indexed citations
18.
Kossak, Roman, et al.. (1988). A Note on BΣn and an Intermediate Induction Schema. Mathematical logic quarterly. 34(3). 261–264. 1 indexed citations
19.
Kossak, Roman. (1985). Recursively saturated $\omega_1$-like models of arithmetic.. Notre Dame Journal of Formal Logic. 26(4). 3 indexed citations
20.
Kossak, Roman. (1983). A certain class of models of Peano arithmetic. Journal of Symbolic Logic. 48(2). 311–320. 6 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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