Albrecht Böttcher
- Applied Mathematics top 0.2%
- Mathematical Physics top 0.5%
- Computational Theory and Mathematics top 0.2%
- Statistics and Probability top 1%
- Algebra and Number Theory top 2%
- Co-authors
- Bernd SilbermannSergei M. GrudskyYuri I. KarlovichIlya M. SpitkovskyManuel BogoyaHarold WidomAlexei Yu. KarlovichUlrich Tautenhahn
- Topics
- Matrix Theory and Algorithms (76 papers)Holomorphic and Operator Theory (64 papers)Spectral Theory in Mathematical Physics (33 papers)
- Journals
- Mathematics of ComputationSIAM Journal on Numerical AnalysisJournal of Mathematical Analysis and Applications
- Partner nations
- GermanyUnited StatesMexico
In The Last Decade
Albrecht Böttcher
133 papers receiving 2.8k citations
Hit Papers
Peers
Comparison fields: 5 of 94
- Applied Mathematics 1.7k
- Mathematical Physics 1.3k
- Computational Theory and Mathematics 1.2k
- Statistics and Probability 467
- Algebra and Number Theory 381
Countries citing papers authored by Albrecht Böttcher
This map shows the geographic impact of Albrecht Böttcher'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 Albrecht Böttcher with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Albrecht Böttcher more than expected).
Fields of papers citing papers by Albrecht Böttcher
This network shows the impact of papers produced by Albrecht Böttcher. 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 Albrecht Böttcher. The network helps show where Albrecht Böttcher may publish in the future.
Co-authorship network of co-authors of Albrecht Böttcher
This figure shows the co-authorship network connecting the top 25 collaborators of Albrecht Böttcher. A scholar is included among the top collaborators of Albrecht Böttcher 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 Albrecht Böttcher. Albrecht Böttcher is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 0 | |
| 2 | 1 | |
| 3 | 1 | |
| 4 | 27 | |
| 5 | On the singular values and eigenvalues of the Fox–Li and related operators | 9 |
| 6 | Analysis of Toeplitz Operators (Springer Monographs in Mathematics) | 63 |
| 7 | 7 | |
| 8 | 8 | |
| 9 | 8 | |
| 10 | 3 | |
| 11 | Fejer means and norms of large Toeplitz matrices | 2 |
| 12 | 7 | |
| 13 | 33 | |
| 14 | 7 | |
| 15 | 95 | |
| 16 | 1 | |
| 17 | 1 | |
| 18 | 52 | |
| 19 | 7 | |
| 20 | 11 |
About Albrecht Böttcher
Albrecht Böttcher is a scholar working on Applied Mathematics, Mathematical Physics and Algebra and Number Theory, having authored 145 papers that have together received 3.1k indexed citations. Recurring topics across this work include Matrix Theory and Algorithms (76 papers), Holomorphic and Operator Theory (64 papers) and Spectral Theory in Mathematical Physics (33 papers). The work is most often cited by research in Applied Mathematics (1.7k citations), Mathematical Physics (1.3k citations) and Algebra and Number Theory (381 citations). Albrecht Böttcher has collaborated with scholars based in Germany, United States and Mexico. Frequent co-authors include Bernd Silbermann, Sergei M. Grudsky, Yuri I. Karlovich, Ilya M. Spitkovsky, Manuel Bogoya, Harold Widom, Alexei Yu. Karlovich, Ulrich Tautenhahn, Bernd Hofmann and Masahiro Yamamoto. Their work appears in journals such as Mathematics of Computation, SIAM Journal on Numerical Analysis and Journal of Mathematical Analysis 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.