Albrecht Böttcher
Impact in
- Applied Mathematics top 0.2%
- Holomorphic and Operator Theory
- Algebraic and Geometric Analysis
- Advanced Harmonic Analysis Research
- Mathematical Analysis and Transform Methods
- Mathematical Physics top 0.5%
- Spectral Theory in Mathematical Physics
Papers in
-
- Holomorphic and Operator Theory 85
- Algebraic and Geometric Analysis 46
- Advanced Harmonic Analysis Research 22
- Mathematical Analysis and Transform Methods 18
-
- Matrix Theory and Algorithms 94
- Co-authors
- Bernd Silbermann (24 shared papers)Sergei M. Grudsky (50 shared papers)Yuri I. Karlovich (26 shared papers)Ilya M. Spitkovsky (28 shared papers)Harold Widom (7 shared papers)Manuel Bogoya (11 shared papers)Alexei Yu. Karlovich (1 shared paper)Vladimir Rabinovich (3 shared papers)
- Journals
- Linear Algebra and its Applications (24 papers)Mathematische Nachrichten (10 papers)Integral Equations and Operator Theory (7 papers)Zeitschrift für Analysis und ihre Anwendungen (5 papers)Journal of Functional Analysis (5 papers)
- Partner nations
- GermanyUnited StatesMexico
In The Last Decade
Albrecht Böttcher
178 papers receiving 3.3k citations
Albrecht Böttcher's Hit Papers
Peers
Comparison fields: 5 of 96
- Applied Mathematics 2.1k
- Mathematical Physics 1.6k
- Algebra and Number Theory 446
- Computational Theory and Mathematics 1.4k
- Statistics and Probability 571
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-authors
The 25 scholars most cited alongside Albrecht Böttcher, 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 195 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Introduction to Large Truncated Toeplitz Matrices Hit paper breakdown → | 1999 | 517 |
| 2 | Analysis of Toeplitz Operators Hit paper breakdown → | 1990 | 506 |
| 3 | 2005 | 252 | |
| 4 | 1997 | 185 | |
| 5 | 2002 | 122 | |
| 6 | 1989 | 109 | |
| 7 | 2009 | 90 | |
| 8 | 2008 | 89 | |
| 9 | Analysis of Toeplitz Operators (Springer Monographs in Mathematics) | 2006 | 81 |
| 10 | 1998 | 71 | |
| 11 | 1994 | 71 | |
| 12 | 2000 | 63 | |
| 13 | 2000 | 62 | |
| 14 | 1983 | 59 | |
| 15 | 2005 | 49 | |
| 16 | 2006 | 44 | |
| 17 | 1985 | 38 | |
| 18 | 1995 | 37 | |
| 19 | 2009 | 35 | |
| 20 | 1983 | 34 |
About Albrecht Böttcher
Albrecht Böttcher is a scholar working on Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics, Algebra and Number Theory and Statistics and Probability, having authored 195 papers that have together received 3.7k indexed citations. Recurring topics across this work include Matrix Theory and Algorithms (94 papers), Holomorphic and Operator Theory (85 papers), Spectral Theory in Mathematical Physics (48 papers), Algebraic and Geometric Analysis (46 papers), Advanced Topics in Algebra (38 papers), Random Matrices and Applications (24 papers), Advanced Harmonic Analysis Research (22 papers) and Mathematical Analysis and Transform Methods (18 papers). The work is most often cited by research in Applied Mathematics (2.1k citations), Mathematical Physics (1.6k citations), Algebra and Number Theory (446 citations), Computational Theory and Mathematics (1.4k citations) and Statistics and Probability (571 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, Harold Widom, Manuel Bogoya, Alexei Yu. Karlovich, Vladimir Rabinovich, Pedro M. Crespo and Masahiro Yamamoto. Their work appears in journals such as Linear Algebra and its Applications, Mathematische Nachrichten, Integral Equations and Operator Theory, Zeitschrift für Analysis und ihre Anwendungen and Journal of Functional Analysis.
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.