Tomasz Kaczyński

923 total citations
38 papers, 530 citations indexed

About

Tomasz Kaczyński is a scholar working on Computational Theory and Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Tomasz Kaczyński has authored 38 papers receiving a total of 530 indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Computational Theory and Mathematics, 19 papers in Mathematical Physics and 9 papers in Geometry and Topology. Recurrent topics in Tomasz Kaczyński's work include Topological and Geometric Data Analysis (20 papers), Homotopy and Cohomology in Algebraic Topology (15 papers) and Digital Image Processing Techniques (5 papers). Tomasz Kaczyński is often cited by papers focused on Topological and Geometric Data Analysis (20 papers), Homotopy and Cohomology in Algebraic Topology (15 papers) and Digital Image Processing Techniques (5 papers). Tomasz Kaczyński collaborates with scholars based in Canada, Poland and United States. Tomasz Kaczyński's co-authors include Marian Mrożek, Konstantin Mischaikow, Marlène Frigon, Wiesław Krawcewicz, Thomas Wanner, Vera Zeidan, Paweł Dłotko, Claudia Landi, Lynn Erbe and Jian Wu and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and American Mathematical Monthly.

In The Last Decade

Tomasz Kaczyński

33 papers receiving 481 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Tomasz Kaczyński Canada 10 357 219 101 92 64 38 530
Yong Lin China 15 448 1.3× 317 1.4× 261 2.6× 20 0.2× 121 1.9× 45 902
K. T. Smith United States 11 165 0.5× 297 1.4× 49 0.5× 28 0.3× 33 0.5× 20 776
Junde Wu China 16 169 0.5× 45 0.2× 41 0.4× 64 0.7× 149 2.3× 86 973
Shmuel Weinberger United States 16 478 1.3× 696 3.2× 518 5.1× 133 1.4× 50 0.8× 100 1.1k
F. Andreu Spain 21 719 2.0× 378 1.7× 25 0.2× 177 1.9× 19 0.3× 46 1.2k
Анатолий Тимофеевич Фоменко 12 65 0.2× 167 0.8× 245 2.4× 67 0.7× 321 5.0× 25 661
James Rovnyak United States 14 347 1.0× 514 2.3× 162 1.6× 11 0.1× 115 1.8× 62 1.3k
Alicia Dickenstein Argentina 19 576 1.6× 50 0.2× 303 3.0× 14 0.2× 86 1.3× 59 961
Robert Vandervorst Netherlands 11 244 0.7× 177 0.8× 79 0.8× 11 0.1× 138 2.2× 30 549
Elton P. Hsu United States 12 116 0.3× 244 1.1× 135 1.3× 28 0.3× 63 1.0× 25 727

Countries citing papers authored by Tomasz Kaczyński

Since Specialization
Citations

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

Fields of papers citing papers by Tomasz Kaczyński

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Tomasz Kaczyński

This figure shows the co-authorship network connecting the top 25 collaborators of Tomasz Kaczyński. A scholar is included among the top collaborators of Tomasz Kaczyński 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 Tomasz Kaczyński. Tomasz Kaczyński 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.
Kaczyński, Tomasz, et al.. (2023). Bifiltrations and persistence paths for 2–Morsefunctions. Algebraic & Geometric Topology. 23(6). 2895–2924.
2.
Kaczyński, Tomasz, et al.. (2018). Acyclic Partial Matchings for Multidimensional Persistence: Algorithm and Combinatorial Interpretation. Journal of Mathematical Imaging and Vision. 61(2). 174–192. 3 indexed citations
3.
Kaczyński, Tomasz, et al.. (2016). Reducing complexes in multidimensional persistent homology theory. Journal of Symbolic Computation. 78. 61–75. 6 indexed citations
4.
Frosini, Patrizio, et al.. (2013). Comparison of persistent homologies for vector functions: From continuous to discrete and back. Computers & Mathematics with Applications. 66(4). 560–573. 6 indexed citations
5.
Kaczyński, Tomasz, et al.. (2010). Detecting critical regions in multidimensional data sets. Computers & Mathematics with Applications. 61(2). 499–512. 2 indexed citations
6.
Kaczyński, Tomasz, Paweł Dłotko, & Marian Mrożek. (2010). Computing The Cubical Cohomology Ring. 1(3). 137–142. 1 indexed citations
7.
Kaczyński, Tomasz, Konstantin Mischaikow, & Marian Mrożek. (2004). Computational Homology. Applied mathematical sciences. 223 indexed citations
8.
Kaczyński, Tomasz, Konstantin Mischaikow, & Marian Mrożek. (2003). Computing homology. Homology Homotopy and Applications. 5(2). 233–256. 10 indexed citations
9.
Kaczyński, Tomasz. (2001). Recursive coboundary formula for cycles in acyclic chain complexes. Topological Methods in Nonlinear Analysis. 18(2). 351–351. 2 indexed citations
10.
Kaczyński, Tomasz, et al.. (1998). Homology computation by reduction of chain complexes. Computers & Mathematics with Applications. 35(4). 59–70. 61 indexed citations
11.
Kaczyński, Tomasz & Marian Mrożek. (1997). Stable Index Pairs for Discrete Dynamical Systems. Canadian Mathematical Bulletin. 40(4). 448–455. 9 indexed citations
12.
Kaczyński, Tomasz & Marian Mrożek. (1995). Conley index for discrete multi-valued dynamical systems. Topology and its Applications. 65(1). 83–96. 42 indexed citations
13.
Frigon, Marlène & Tomasz Kaczyński. (1993). Boundary Value Problems for Systems of Implicit Differential Equations. Journal of Mathematical Analysis and Applications. 179(2). 317–326. 26 indexed citations
14.
Kaczyński, Tomasz. (1992). Unbounded Multivalued Nemytskii Operators in Sobolev Spaces and Their Applications to Discontinuous Nonlinearity. Rocky Mountain Journal of Mathematics. 22(2). 2 indexed citations
15.
Kaczyński, Tomasz & Jian Wu. (1992). A Topological Transversality Theorem For Multi-Valued Maps In Locally Convex Spaces With Applications To Neutral Equations. Canadian Journal of Mathematics. 44(5). 1003–1013. 2 indexed citations
16.
Kaczyński, Tomasz & Vera Zeidan. (1989). An application of Ky-fan fixed point theorem to an optimization problem. Nonlinear Analysis. 13(3). 259–261. 11 indexed citations
17.
Kaczyński, Tomasz. (1969). Boundary functions and sets of curvilinear convergence for continuous functions. Transactions of the American Mathematical Society. 141(0). 107–125.
18.
Kaczyński, Tomasz. (1969). Boundary Functions and Sets of Curvilinear Convergence for Continuous Functions. Transactions of the American Mathematical Society. 141. 107–107.
19.
Kaczyński, Tomasz. (1966). On a boundary property of continuous functions.. The Michigan Mathematical Journal. 13(3). 2 indexed citations
20.
Kaczyński, Tomasz. (1964). Another Proof of Wedderburn's Theorem. American Mathematical Monthly. 71(6). 652–652. 8 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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