Boris Botvinnik

570 total citations
33 papers, 230 citations indexed

About

Boris Botvinnik is a scholar working on Mathematical Physics, Geometry and Topology and Applied Mathematics. According to data from OpenAlex, Boris Botvinnik has authored 33 papers receiving a total of 230 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Mathematical Physics, 20 papers in Geometry and Topology and 20 papers in Applied Mathematics. Recurrent topics in Boris Botvinnik's work include Geometric Analysis and Curvature Flows (19 papers), Homotopy and Cohomology in Algebraic Topology (16 papers) and Geometry and complex manifolds (11 papers). Boris Botvinnik is often cited by papers focused on Geometric Analysis and Curvature Flows (19 papers), Homotopy and Cohomology in Algebraic Topology (16 papers) and Geometry and complex manifolds (11 papers). Boris Botvinnik collaborates with scholars based in United States, Japan and Bahrain. Boris Botvinnik's co-authors include Kazuo Akutagawa, Peter Gilkey, Jonathan Rosenberg, Stephan Stolz, Oscar Randal‐Williams, Not Available Not Available, Victor Matveevich Buchstaber, Osamu Kobayashi, S P Novikov and Sergey Yuzvinsky and has published in prestigious journals such as Transactions of the American Mathematical Society, Inventiones mathematicae and Journal of Differential Geometry.

In The Last Decade

Boris Botvinnik

30 papers receiving 203 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Boris Botvinnik United States	9	167	140	137	36	30	33	230
Andreas Juhl Germany	7	112 0.7×	100 0.7×	85 0.6×	39 1.1×	22 0.7×	18	183
Nicholas Buchdahl Australia	10	136 0.8×	280 2.0×	148 1.1×	22 0.6×	15 0.5×	27	320
Marie-Louise Michelsohn United States	8	145 0.9×	180 1.3×	80 0.6×	35 1.0×	23 0.8×	12	227
Jiri Dadok United States	10	210 1.3×	228 1.6×	204 1.5×	47 1.3×	78 2.6×	22	385
Инканг Ким South Korea	7	74 0.4×	147 1.1×	116 0.8×	43 1.2×	11 0.4×	48	205
Nancy Hingston United States	6	119 0.7×	140 1.0×	83 0.6×	69 1.9×	12 0.4×	14	209
Daniel V. Tausk Brazil	9	153 0.9×	125 0.9×	82 0.6×	51 1.4×	16 0.5×	29	195
Sergio Console Italy	6	177 1.1×	209 1.5×	113 0.8×	58 1.6×	27 0.9×	20	241
Sergiu Moroianu Romania	9	101 0.6×	85 0.6×	147 1.1×	27 0.8×	50 1.7×	34	210
Jesús A. Álvarez López Spain	8	144 0.9×	144 1.0×	124 0.9×	21 0.6×	15 0.5×	33	207

Countries citing papers authored by Boris Botvinnik

Since Specialization

Citations

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

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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-authorship network of co-authors of Boris Botvinnik

This figure shows the co-authorship network connecting the top 25 collaborators of Boris Botvinnik. A scholar is included among the top collaborators of Boris Botvinnik 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 Boris Botvinnik. Boris Botvinnik is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Botvinnik, Boris, et al.. (2023). Families of diffeomorphisms and concordances detected by trivalent graphs. Journal of Topology. 16(1). 207–233. 2 indexed citations

Botvinnik, Boris & Jonathan Rosenberg. (2023). Positive scalar curvature on manifolds with fibered singularities. Journal für die reine und angewandte Mathematik (Crelles Journal). 0(0).

Botvinnik, Boris, Paolo Piazza, & Jonathan Rosenberg. (2021). Positive Scalar Curvature on Spin Pseudomanifolds: the Fundamental Group and Secondary Invariants. Symmetry Integrability and Geometry Methods and Applications. 2 indexed citations

Botvinnik, Boris, et al.. (2021). Homotopy Invariance of the Space of Metrics with Positive Scalar Curvature on Manifolds with Singularities. Symmetry Integrability and Geometry Methods and Applications. 1 indexed citations

Botvinnik, Boris, et al.. (2017). Minimal hypersurfaces and bordism of positive scalar curvature metrics. Mathematische Annalen. 371(1-2). 189–224. 1 indexed citations

Botvinnik, Boris, et al.. (2014). Highly connected manifolds of positive 𝑝-curvature. Transactions of the American Mathematical Society. 366(7). 3405–3424. 6 indexed citations

Botvinnik, Boris, et al.. (2014). Compact manifolds with positive Γ2-curvature. Differential Geometry and its Applications. 37. 1–16. 2 indexed citations

Botvinnik, Boris & Jonathan Rosenberg. (2004). Positive scalar curvature for manifolds with elementary abelian fundamental group. Proceedings of the American Mathematical Society. 133(2). 545–556. 3 indexed citations

Akutagawa, Kazuo & Boris Botvinnik. (2004). The Yamabe invariants of orbifolds and cylindrical manifolds, and L[2]-harmonic spinors. Journal für die reine und angewandte Mathematik (Crelles Journal). 2004(574). 5 indexed citations

10.

Akutagawa, Kazuo, et al.. (2003). The Weyl functional near the Yamabe invariant. Journal of Geometric Analysis. 13(1). 1–20. 8 indexed citations

11.

Botvinnik, Boris, et al.. (2003). CONFORMAL LAPLACIAN AND CONICAL SINGULARITIES. 22–79. 1 indexed citations

12.

Akutagawa, Kazuo & Boris Botvinnik. (2002). The Yamabe invariant of orbifolds and $L^2$-harmonic spinors. arXiv (Cornell University). 1 indexed citations

13.

Botvinnik, Boris & Jonathan Rosenberg. (2002). The Yamabe Invariant for Non-Simply Connected Manifolds. Journal of Differential Geometry. 62(2). 9 indexed citations

14.

Akutagawa, Kazuo, Boris Botvinnik, & Not Available Not Available. (2002). Manifolds of positive scalar curvature and conformal cobordism theory. Mathematische Annalen. 324(4). 817–840. 11 indexed citations

15.

Botvinnik, Boris, et al.. (2000). Алгебраические аспекты теории умножений в комплексных кобордизмах. Успехи математических наук. 55(4). 5–24. 6 indexed citations

16.

Botvinnik, Boris, Peter Gilkey, & Stephan Stolz. (1997). The Gromov-Lawson-Rosenberg conjecture for groups with periodic cohomology. Journal of Differential Geometry. 46(3). 19 indexed citations

17.

Botvinnik, Boris & Peter Gilkey. (1997). The eta invariant and the Gromov-Lawson conjecture for elementary Abelian groups of odd order. Topology and its Applications. 80(1-2). 43–53. 6 indexed citations

18.

Botvinnik, Boris & Peter Gilkey. (1996). Metrics of Positive Scalar Curvature on Spherical Space Forms. Canadian Journal of Mathematics. 48(1). 64–80. 10 indexed citations

19.

Botvinnik, Boris. (1992). Manifolds with Singularities and the Adams-Novikov Spectral Sequence. Cambridge University Press eBooks. 11 indexed citations

20.

Botvinnik, Boris. (1991). THE STRUCTURE OF THE RINGMSU_*. Mathematics of the USSR-Sbornik. 69(2). 581–596. 3 indexed citations

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.

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