Alejandro Illanes
Impact in
- Geometry and Topology top 1%
- Advanced Topology and Set Theory
- Fixed Point Theorems Analysis
- Mathematical Physics top 2%
- Mathematical Dynamics and Fractals
- Advanced Banach Space Theory
- Homotopy and Cohomology in Algebraic Topology
Papers in
-
- Advanced Topology and Set Theory 69
- Fixed Point Theorems Analysis 12
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- Mathematical Dynamics and Fractals 24
- Advanced Banach Space Theory 21
- Homotopy and Cohomology in Algebraic Topology 18
- Co-authors
- Sam B. Nadler (2 shared papers)Janusz J. Charatonik (7 shared papers)Mario Penna (6 shared papers)Gerardo G. Acosta (3 shared papers)Włodzimierz J. Charatonik (4 shared papers)Mariana Lazo (1 shared paper)José Luís Martínez (1 shared paper)Andrea Fuentealba (1 shared paper)
- Journals
- Proceedings of the American Mathematical Society (12 papers)Topology and its Applications (36 papers)Circulation Research (2 papers)Journal of Pharmacology and Experimental Therapeutics (1 paper)Journal of Fixed Point Theory and Applications (1 paper)
- Partner nations
- MexicoPolandUnited States
In The Last Decade
Alejandro Illanes
88 papers receiving 523 citations
Peers
Comparison fields: 5 of 72
- Geometry and Topology 470
- Mathematical Physics 400
- Algebra and Number Theory 114
- Management Science and Operations Research 108
- Computational Theory and Mathematics 102
Countries citing papers authored by Alejandro Illanes
This map shows the geographic impact of Alejandro Illanes'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 Alejandro Illanes with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alejandro Illanes more than expected).
Fields of papers citing papers by Alejandro Illanes
This network shows the impact of papers produced by Alejandro Illanes. 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 Alejandro Illanes. The network helps show where Alejandro Illanes may publish in the future.
Co-authors
The 18 scholars most cited alongside Alejandro Illanes, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 109 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Hyperspaces: Fundamentals and Recent Advances | 1999 | 191 |
| 2 | The hyperspace C_2(X) for a finite graph X is unique | 2002 | 23 |
| 3 | 2008 | 22 | |
| 4 | 1959 | 20 | |
| 5 | 2011 | 16 | |
| 6 | 2006 | 16 | |
| 7 | 1996 | 16 | |
| 8 | 2005 | 14 | |
| 9 | 2012 | 14 | |
| 10 | 1967 | 13 | |
| 11 | 2013 | 12 | |
| 12 | 2008 | 11 | |
| 13 | 2015 | 11 | |
| 14 | A tree-like continuum whose cone admits a fixed-point-free map | 2007 | 10 |
| 15 | 2011 | 10 | |
| 16 | 2001 | 10 | |
| 17 | 1999 | 9 | |
| 18 | 1988 | 9 | |
| 19 | 1999 | 8 | |
| 20 | 1999 | 8 |
About Alejandro Illanes
Alejandro Illanes is a scholar working on Geometry and Topology, Mathematical Physics, Computational Theory and Mathematics, Algebra and Number Theory and Management Science and Operations Research, having authored 109 papers that have together received 639 indexed citations. Recurring topics across this work include Advanced Topology and Set Theory (69 papers), Mathematical Dynamics and Fractals (24 papers), Advanced Banach Space Theory (21 papers), Homotopy and Cohomology in Algebraic Topology (18 papers), Rings, Modules, and Algebras (18 papers), Fuzzy and Soft Set Theory (16 papers), Fixed Point Theorems Analysis (12 papers) and Computability, Logic, AI Algorithms (8 papers). The work is most often cited by research in Geometry and Topology (470 citations), Mathematical Physics (400 citations), Algebra and Number Theory (114 citations), Management Science and Operations Research (108 citations) and Computational Theory and Mathematics (102 citations). Alejandro Illanes has collaborated with scholars based in Mexico, Poland and United States. Frequent co-authors include Sam B. Nadler, Janusz J. Charatonik, Mario Penna, Gerardo G. Acosta, Włodzimierz J. Charatonik, Mariana Lazo, José Luís Martínez, Andrea Fuentealba, Jennifer Rivera and M Pupkin. Their work appears in journals such as Proceedings of the American Mathematical Society, Topology and its Applications, Circulation Research, Journal of Pharmacology and Experimental Therapeutics and Journal of Fixed Point Theory and Applications.
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.