Andreas Kriegl
Impact in
- Mathematical Physics top 2%
- Homotopy and Cohomology in Algebraic Topology
- Advanced Operator Algebra Research
- Advanced Banach Space Theory
- Algebra and Number Theory top 5%
- Advanced Topics in Algebra
Papers in
-
- Advanced Banach Space Theory 7
- Homotopy and Cohomology in Algebraic Topology 5
- Spectral Theory in Mathematical Physics 4
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- Holomorphic and Operator Theory 8
- Functional Equations Stability Results 5
- Algebraic and Geometric Analysis 4
- Co-authors
- Peter W. Michor (24 shared papers)Alfred Frölicher (3 shared papers)Mark Losik (6 shared papers)Dmitri V. Alekseevsky (4 shared papers)Armin Rainer (5 shared papers)Louis H. Nel (2 shared papers)Walter Schachermayer (1 shared paper)Michel Dubois‐Violette (2 shared papers)
- Journals
- Israel Journal of Mathematics (2 papers)Proceedings of the American Mathematical Society (2 papers)Journal of Functional Analysis (2 papers)Differential Geometry and its Applications (2 papers)Mathematische Annalen (1 paper)
- Partner nations
- AustriaRussiaSwitzerland
In The Last Decade
Andreas Kriegl
32 papers receiving 818 citations
Andreas Kriegl's Hit Papers
Peers
Comparison fields: 5 of 56
- Mathematical Physics 578
- Algebra and Number Theory 269
- Geometry and Topology 410
- Applied Mathematics 351
- Statistical and Nonlinear Physics 147
Countries citing papers authored by Andreas Kriegl
This map shows the geographic impact of Andreas Kriegl'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 Andreas Kriegl with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Andreas Kriegl more than expected).
Fields of papers citing papers by Andreas Kriegl
This network shows the impact of papers produced by Andreas Kriegl. 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 Andreas Kriegl. The network helps show where Andreas Kriegl may publish in the future.
Co-authors
The 10 scholars most cited alongside Andreas Kriegl, 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 33 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | The Convenient Setting of Global Analysis Hit paper breakdown → | 1997 | 438 |
| 2 | Linear spaces and differentiation theory | 1988 | 134 |
| 3 | 1998 | 42 | |
| 4 | 1990 | 41 | |
| 5 | 2004 | 36 | |
| 6 | A convenient setting for holomorphy | 1985 | 23 |
| 7 | 2003 | 20 | |
| 8 | 1991 | 20 | |
| 9 | 1983 | 20 | |
| 10 | 2011 | 18 | |
| 11 | 2009 | 17 | |
| 12 | 1982 | 17 | |
| 13 | 2003 | 16 | |
| 14 | 1989 | 14 | |
| 15 | 2000 | 11 | |
| 16 | 2011 | 9 | |
| 17 | 1987 | 9 | |
| 18 | 2001 | 9 | |
| 19 | Smooth *-algebras | 2001 | 8 |
| 20 | 1990 | 7 |
About Andreas Kriegl
Andreas Kriegl is a scholar working on Mathematical Physics, Applied Mathematics, Geometry and Topology, Algebra and Number Theory and Computational Theory and Mathematics, having authored 33 papers that have together received 942 indexed citations. Recurring topics across this work include Holomorphic and Operator Theory (8 papers), Advanced Topics in Algebra (8 papers), Advanced Banach Space Theory (7 papers), Homotopy and Cohomology in Algebraic Topology (5 papers), Functional Equations Stability Results (5 papers), Algebraic and Geometric Analysis (4 papers), Spectral Theory in Mathematical Physics (4 papers) and Geometry and complex manifolds (4 papers). The work is most often cited by research in Mathematical Physics (578 citations), Algebra and Number Theory (269 citations), Geometry and Topology (410 citations), Applied Mathematics (351 citations) and Statistical and Nonlinear Physics (147 citations). Andreas Kriegl has collaborated with scholars based in Austria, Russia and Switzerland. Frequent co-authors include Peter W. Michor, Alfred Frölicher, Mark Losik, Dmitri V. Alekseevsky, Armin Rainer, Louis H. Nel, Walter Schachermayer, Michel Dubois‐Violette, Yoshiaki Maeda and Éva Ádám. Their work appears in journals such as Israel Journal of Mathematics, Proceedings of the American Mathematical Society, Journal of Functional Analysis, Differential Geometry and its Applications and Mathematische Annalen.
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.