Boris Botvinnik
Impact in
- Applied Mathematics top 5%
- Geometric Analysis and Curvature Flows
- Nonlinear Partial Differential Equations
- Geometry and Topology top 5%
- Geometry and complex manifolds
- Geometric and Algebraic Topology
Papers in
-
- Homotopy and Cohomology in Algebraic Topology 17
- Advanced Operator Algebra Research 9
-
- Geometric Analysis and Curvature Flows 20
- Co-authors
- Kazuo Akutagawa (6 shared papers)Peter Gilkey (5 shared papers)Jonathan Rosenberg (5 shared papers)Stephan Stolz (1 shared paper)Oscar Randal‐Williams (1 shared paper)Thomas Schick (1 shared paper)Not Available Not Available (1 shared paper)Paolo Piazza (2 shared papers)
- Journals
- Mathematische Annalen (3 papers)Journal of Topology (2 papers)Canadian Journal of Mathematics (2 papers)Journal für die reine und angewandte Mathematik (Crelles Journal) (2 papers)Geometric and Functional Analysis (2 papers)
- Partner nations
- United StatesJapanItaly
In The Last Decade
Boris Botvinnik
31 papers receiving 220 citations
Peers
Comparison fields: 5 of 17
- Applied Mathematics 183
- Geometry and Topology 147
- Mathematical Physics 147
- Algebra and Number Theory 31
- Astronomy and Astrophysics 45
Countries citing papers authored by Boris Botvinnik
This map shows the geographic impact of Boris Botvinnik'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 Boris Botvinnik with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Boris Botvinnik more than expected).
Fields of papers citing papers by Boris Botvinnik
This network shows the impact of papers produced by Boris Botvinnik. 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 Boris Botvinnik. The network helps show where Boris Botvinnik may publish in the future.
Co-authors
The 16 scholars most cited alongside Boris Botvinnik, 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 34 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 2003 | 32 | |
| 2 | 1995 | 31 | |
| 3 | 1997 | 19 | |
| 4 | 2017 | 18 | |
| 5 | 2002 | 16 | |
| 6 | HOMOTOPY GROUPS OF THE MODULI SPACE OF METRICS OF POSITIVE SCALAR CURVATURE | 2013 | 13 |
| 7 | 2002 | 12 | |
| 8 | 1992 | 11 | |
| 9 | 1996 | 10 | |
| 10 | 2002 | 9 | |
| 11 | 2003 | 8 | |
| 12 | 2014 | 6 | |
| 13 | 1997 | 6 | |
| 14 | 2000 | 6 | |
| 15 | 2001 | 6 | |
| 16 | 2004 | 5 | |
| 17 | 2013 | 5 | |
| 18 | 2000 | 5 | |
| 19 | 2017 | 4 | |
| 20 | 2021 | 3 |
About Boris Botvinnik
Boris Botvinnik is a scholar working on Mathematical Physics, Applied Mathematics, Geometry and Topology, Algebra and Number Theory and Computational Theory and Mathematics, having authored 34 papers that have together received 246 indexed citations. Recurring topics across this work include Geometric Analysis and Curvature Flows (20 papers), Homotopy and Cohomology in Algebraic Topology (17 papers), Geometry and complex manifolds (11 papers), Geometric and Algebraic Topology (11 papers), Advanced Operator Algebra Research (9 papers), Advanced Topics in Algebra (5 papers), Advanced Differential Geometry Research (4 papers) and Algebraic structures and combinatorial models (4 papers). The work is most often cited by research in Applied Mathematics (183 citations), Geometry and Topology (147 citations), Mathematical Physics (147 citations), Algebra and Number Theory (31 citations) and Astronomy and Astrophysics (45 citations). Boris Botvinnik has collaborated with scholars based in United States, Japan and Italy. Frequent co-authors include Kazuo Akutagawa, Peter Gilkey, Jonathan Rosenberg, Stephan Stolz, Oscar Randal‐Williams, Thomas Schick, Not Available Not Available, Paolo Piazza, Osamu Kobayashi and V. I. Kuz’minov. Their work appears in journals such as Mathematische Annalen, Journal of Topology, Canadian Journal of Mathematics, Journal für die reine und angewandte Mathematik (Crelles Journal) and Geometric and 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.