Gennadi Kasparov

3.2k total citations · 1 hit paper
18 papers, 1.5k citations indexed

About

Gennadi Kasparov is a scholar working on Mathematical Physics, Algebra and Number Theory and Applied Mathematics. According to data from OpenAlex, Gennadi Kasparov has authored 18 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Mathematical Physics, 12 papers in Algebra and Number Theory and 4 papers in Applied Mathematics. Recurrent topics in Gennadi Kasparov's work include Advanced Operator Algebra Research (15 papers), Advanced Topics in Algebra (11 papers) and Spectral Theory in Mathematical Physics (6 papers). Gennadi Kasparov is often cited by papers focused on Advanced Operator Algebra Research (15 papers), Advanced Topics in Algebra (11 papers) and Spectral Theory in Mathematical Physics (6 papers). Gennadi Kasparov collaborates with scholars based in United States, France and Russia. Gennadi Kasparov's co-authors include Nigel Higson, Georges Skandalis, Guoliang Yu and Pierre Julg and has published in prestigious journals such as Annals of Mathematics, Inventiones mathematicae and Advances in Mathematics.

In The Last Decade

Gennadi Kasparov

18 papers receiving 1.1k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

EquivariantKK-theory and the Novikov conjecture

1988 395 citations Gennadi Kasparov Inventiones mathematicae profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Gennadi Kasparov United States	13	1.4k	895	560	312	127	18	1.5k
Georges Skandalis France	19	1.2k 0.9×	860 1.0×	636 1.1×	180 0.6×	108 0.9×	38	1.3k
Jean Renault France	10	1.1k 0.8×	922 1.0×	353 0.6×	133 0.4×	163 1.3×	16	1.2k
Ruy Exel Brazil	18	945 0.7×	748 0.8×	409 0.7×	154 0.5×	92 0.7×	53	1.0k
R. J. Archbold United Kingdom	13	561 0.4×	491 0.5×	136 0.2×	120 0.4×	60 0.5×	60	614
William L. Paschke United States	13	710 0.5×	481 0.5×	202 0.4×	279 0.9×	38 0.3×	27	818
Werner Müller Germany	15	731 0.5×	141 0.2×	416 0.7×	320 1.0×	52 0.4×	44	830
Frederick M. Goodman United States	13	528 0.4×	467 0.5×	541 1.0×	70 0.2×	75 0.6×	36	794
Wolfgang Lück Germany	21	1.3k 1.0×	377 0.4×	1.2k 2.1×	137 0.4×	46 0.4×	88	1.5k
Shigeru Yamagami Japan	12	347 0.2×	248 0.3×	313 0.6×	55 0.2×	61 0.5×	30	487
Henrik Schlichtkrull Denmark	13	486 0.3×	135 0.2×	246 0.4×	267 0.9×	59 0.5×	50	571

Countries citing papers authored by Gennadi Kasparov

Since Specialization

Citations

This map shows the geographic impact of Gennadi Kasparov'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 Gennadi Kasparov with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Gennadi Kasparov more than expected).

Fields of papers citing papers by Gennadi Kasparov

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gennadi Kasparov. 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 Gennadi Kasparov. The network helps show where Gennadi Kasparov may publish in the future.

Co-authorship network of co-authors of Gennadi Kasparov

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

All Works

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18 of 18 papers shown

1.

Kasparov, Gennadi. (2017). Elliptic and transversally elliptic index theory from the viewpoint of $KK$-theory. Journal of Noncommutative Geometry. 10(4). 1303–1378. 11 indexed citations

2.

Kasparov, Gennadi & Guoliang Yu. (2012). The Novikov conjecture and geometry of Banach spaces. Geometry & Topology. 16(3). 1859–1880. 23 indexed citations

3.

Kasparov, Gennadi & Guoliang Yu. (2005). The coarse geometric Novikov conjecture and uniform convexity. Advances in Mathematics. 206(1). 1–56. 48 indexed citations

4.

Kasparov, Gennadi & Georges Skandalis. (2003). Groups acting properly on “bolic” spaces and the Novikov conjecture. Annals of Mathematics. 158(1). 165–206. 53 indexed citations

5.

Higson, Nigel & Gennadi Kasparov. (2001). E-theory and KK-theory for groups which act properly and isometrically on Hilbert space. Inventiones mathematicae. 144(1). 23–74. 136 indexed citations

6.

Higson, Nigel, et al.. (1998). A Bott Periodicity Theorem for Infinite Dimensional Euclidean Space. Advances in Mathematics. 135(1). 1–40. 30 indexed citations

7.

Higson, Nigel & Gennadi Kasparov. (1997). Operator 𝐾-theory for groups which act properly and isometrically on Hilbert space. 3(22). 131–142. 58 indexed citations

8.

Kasparov, Gennadi & Pierre Julg. (1995). Operator k-theory for the group SU(n, 1).. Journal für die reine und angewandte Mathematik (Crelles Journal). 1995(463). 99–152. 31 indexed citations

9.

Kasparov, Gennadi. (1991). Relative K-homology and K-homology of an ideal. K-Theory. 5(1). 47–49. 2 indexed citations

10.

Kasparov, Gennadi & Georges Skandalis. (1991). Groups acting on buildings, operator K-theory, and Novikov's conjecture. K-Theory. 4(4). 303–337. 54 indexed citations

11.

Kasparov, Gennadi. (1988). EquivariantKK-theory and the Novikov conjecture. Inventiones mathematicae. 91(1). 147–201. 395 indexed citations breakdown →

12.

Kasparov, Gennadi. (1987). Operator K-theory and its applications. Journal of Mathematical Sciences. 37(6). 1373–1396. 7 indexed citations

13.

Kasparov, Gennadi. (1981). THE OPERATORK-FUNCTOR AND EXTENSIONS OFC*-ALGEBRAS. Mathematics of the USSR-Izvestiya. 16(3). 513–572. 300 indexed citations

14.

Kasparov, Gennadi. (1980). HILBERT C?-MODULES: THEOREMS OF STINESPRING AND VOICULESCU. 4(1). 133–150. 203 indexed citations

15.

Kasparov, Gennadi. (1979). The k-functor in the theory of extensions of C*-algebras. Functional Analysis and Its Applications. 13(4). 296–297. 2 indexed citations

16.

Kasparov, Gennadi. (1975). TOPOLOGICAL INVARIANTS OF ELLIPTIC OPERATORS. I:K-HOMOLOGY. Mathematics of the USSR-Izvestiya. 9(4). 751–792. 81 indexed citations

17.

Kasparov, Gennadi. (1973). The generalized index of elliptic operators. Functional Analysis and Its Applications. 7(3). 238–240. 5 indexed citations

18.

Kasparov, Gennadi. (1969). INVARIANTS OF CLASSICAL LENS MANIFOLDS IN COBORDISM THEORY. Mathematics of the USSR-Izvestiya. 3(4). 695–705. 14 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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