Igor R. Shafarevich

4.0k total citations · 1 hit paper
61 papers, 1.9k citations indexed

About

Igor R. Shafarevich is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Igor R. Shafarevich has authored 61 papers receiving a total of 1.9k indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Geometry and Topology, 11 papers in Mathematical Physics and 8 papers in Computational Theory and Mathematics. Recurrent topics in Igor R. Shafarevich's work include Mathematics and Applications (15 papers), Algebraic Geometry and Number Theory (11 papers) and Polynomial and algebraic computation (7 papers). Igor R. Shafarevich is often cited by papers focused on Mathematics and Applications (15 papers), Algebraic Geometry and Number Theory (11 papers) and Polynomial and algebraic computation (7 papers). Igor R. Shafarevich collaborates with scholars based in Russia, United States and France. Igor R. Shafarevich's co-authors include A N Rudakov, C. P. Ramanujam, A. O. Remizov, Miles Reid, P. M. Cohn, Viacheslav V. Nikulin, John C. Campbell, Α. I. Kostrikin, S P Novikov and Denis Vasilievich Osipov and has published in prestigious journals such as Foreign Affairs, Mathematische Annalen and Russian Mathematical Surveys.

In The Last Decade

Igor R. Shafarevich

45 papers receiving 1.7k citations

Hit Papers

1 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.

Basic Algebraic Geometry 2

1994 765 citations Igor R. Shafarevich CERN Document Server (European Organization for Nuclear Research) profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Igor R. Shafarevich Russia	18	1.2k	625	578	454	218	61	1.9k
Gert–Martin Greuel Germany	19	1.6k 1.3×	531 0.8×	1.0k 1.7×	1.0k 2.3×	140 0.6×	67	2.4k
Wolfgang M. Schmidt United States	28	1.2k 1.0×	1.2k 1.9×	664 1.1×	766 1.7×	476 2.2×	146	2.4k
Robert F. Tichy Austria	20	573 0.5×	538 0.9×	610 1.1×	611 1.3×	230 1.1×	146	2.0k
Maurice Mignotte France	19	664 0.6×	320 0.5×	477 0.8×	601 1.3×	141 0.6×	99	1.4k
Gerhard Pfister Germany	16	1.1k 0.9×	294 0.5×	946 1.6×	797 1.8×	102 0.5×	77	1.9k
David A. Cox United States	15	1.0k 0.9×	342 0.5×	1.0k 1.8×	599 1.3×	123 0.6×	48	2.3k
J. M. Landsberg United States	22	633 0.5×	290 0.5×	578 1.0×	307 0.7×	151 0.7×	80	1.6k
William S. Massey United States	24	1.3k 1.1×	1.1k 1.8×	603 1.0×	445 1.0×	430 2.0×	47	2.5k
Barry Mitchell United States	11	920 0.8×	761 1.2×	469 0.8×	697 1.5×	104 0.5×	25	1.7k
A. Baker United Kingdom	23	1.0k 0.9×	731 1.2×	514 0.9×	842 1.9×	283 1.3×	42	2.0k

Countries citing papers authored by Igor R. Shafarevich

Since Specialization

Citations

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

Fields of papers citing papers by Igor R. Shafarevich

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Igor R. Shafarevich. 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 Igor R. Shafarevich. The network helps show where Igor R. Shafarevich may publish in the future.

Co-authorship network of co-authors of Igor R. Shafarevich

This figure shows the co-authorship network connecting the top 25 collaborators of Igor R. Shafarevich. A scholar is included among the top collaborators of Igor R. Shafarevich 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 Igor R. Shafarevich. Igor R. Shafarevich 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

1.

Shafarevich, Igor R.. (2013). Schemes and complex manifolds. Springer eBooks. 1 indexed citations

2.

Shafarevich, Igor R. & Miles Reid. (2013). Varieties in projective space. Springer eBooks. 5 indexed citations

3.

Shafarevich, Igor R.. (2013). Basic Algebraic Geometry 1. CERN Document Server (European Organization for Nuclear Research). 44 indexed citations

4.

Shafarevich, Igor R., et al.. (2002). Isabella Grigoryevna Bashmakova on the Eightieth Anniversary of Her Birth. Historia Mathematica. 29(4). 370–382.

5.

Shafarevich, Igor R., et al.. (1998). Complex algebraic varieties : algebraic curves and their Jacobians. Springer eBooks. 1 indexed citations

6.

Shafarevich, Igor R.. (1996). Some families of Abelian surfaces. Izvestiya Mathematics. 60(5). 1083–1093. 3 indexed citations

7.

Shafarevich, Igor R., et al.. (1995). Fundamental problems, ideas and theories. Springer eBooks.

8.

Shafarevich, Igor R. & Miles Reid. (1994). Basic algebraic geometry 1 (2nd, revised and expanded ed.). Springer eBooks. 41 indexed citations

9.

Shafarevich, Igor R.. (1994). Algebraic curves, algebraic manifolds and schemes. Springer eBooks. 1 indexed citations

10.

Shafarevich, Igor R., et al.. (1994). Linear algebraic groups, invariant theory. Springer eBooks. 1 indexed citations

11.

Shafarevich, Igor R.. (1988). Основы алгебраической геометрии. 1 indexed citations

12.

Rudakov, A N & Igor R. Shafarevich. (1983). Surfaces of type K3 over fields of finite characteristic. Journal of Mathematical Sciences. 22(4). 1476–1533. 24 indexed citations

13.

Shafarevich, Igor R.. (1977). Социализм как явление мировой истории. Medical Entomology and Zoology. 1 indexed citations

14.

Shafarevich, Igor R. & P. M. Cohn. (1974). Algebra, volume 1. 31 indexed citations

15.

Shafarevich, Igor R.. (1973). Законодательство о религии в СССР : доклад Комитету прав человека. 1 indexed citations

16.

Shafarevich, Igor R.. (1969). FOUNDATIONS OF ALGEBRAIC GEOMETRY. Russian Mathematical Surveys. 24(6). 1–178. 47 indexed citations

17.

Shafarevich, Igor R., et al.. (1967). Théorie des nombres. Gauthier-Villars eBooks. 20 indexed citations

18.

Shafarevich, Igor R., et al.. (1967). Неприводимые представления простой трехмерной алгебры Ли над полем конечно характеристики. 2. 439–454. 2 indexed citations

19.

Shafarevich, Igor R. & C. P. Ramanujam. (1966). Lectures on Minimal Models And Birational Transformations of Two Dimensional Schemes. 67 indexed citations

20.

Shafarevich, Igor R.. (1961). BORIS NIKOLAEVICH DELONE (on his seventieth birthday). Russian Mathematical Surveys. 16(3). 151–156. 2 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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