Igor Dolgachev

4.9k total citations · 2 hit papers
58 papers, 1.6k citations indexed

About

Igor Dolgachev is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Igor Dolgachev has authored 58 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 51 papers in Geometry and Topology, 26 papers in Mathematical Physics and 17 papers in Computational Theory and Mathematics. Recurrent topics in Igor Dolgachev's work include Algebraic Geometry and Number Theory (44 papers), Advanced Algebra and Geometry (22 papers) and Polynomial and algebraic computation (16 papers). Igor Dolgachev is often cited by papers focused on Algebraic Geometry and Number Theory (44 papers), Advanced Algebra and Geometry (22 papers) and Polynomial and algebraic computation (16 papers). Igor Dolgachev collaborates with scholars based in United States, Germany and South Korea. Igor Dolgachev's co-authors include Yi Hu, Vassil Kanev, Mikhail Kapranov, JongHae Keum, Shigeyuki Kondō, Alexander Duncan, Michela Artebani, Valery A. Lunts, De‐Qi Zhang and V. A. Iskovskikh and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Igor Dolgachev

54 papers receiving 1.4k citations

Hit Papers

Classical Algebraic Geometry 2012 2026 2016 2021 2012 2012 50 100 150 200 250
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.

  1. Classical Algebraic Geometry
    2012 253 citations Igor Dolgachev profile →
  2. Classical Algebraic Geometry: A Modern View
    2012 154 citations Igor Dolgachev profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Igor Dolgachev United States 21 1.4k 859 325 280 256 58 1.6k
Eduard Looijenga Netherlands 21 1.4k 1.0× 955 1.1× 323 1.0× 175 0.6× 217 0.8× 57 1.7k
Alexandru Dimca France 16 1.1k 0.8× 598 0.7× 397 1.2× 342 1.2× 301 1.2× 118 1.3k
Klaus Hulek Germany 18 1.4k 0.9× 855 1.0× 350 1.1× 151 0.5× 199 0.8× 84 1.5k
Walter D. Neumann United States 23 1.6k 1.1× 1.1k 1.3× 169 0.5× 414 1.5× 354 1.4× 83 1.8k
Dan Abramovich United States 20 1.5k 1.0× 928 1.1× 324 1.0× 153 0.5× 264 1.0× 49 1.6k
Egbert Brieskorn Germany 13 1.3k 0.9× 684 0.8× 271 0.8× 251 0.9× 291 1.1× 25 1.5k
Finn F. Knudsen Norway 8 1.1k 0.8× 718 0.8× 316 1.0× 144 0.5× 255 1.0× 15 1.3k
Michel Brion France 27 1.5k 1.1× 1.2k 1.4× 528 1.6× 696 2.5× 216 0.8× 84 1.9k
Arnaud Beauville France 23 2.2k 1.5× 1.4k 1.6× 369 1.1× 167 0.6× 274 1.1× 59 2.3k
Tetsuji Shioda Japan 18 1.1k 0.8× 630 0.7× 271 0.8× 153 0.5× 224 0.9× 61 1.2k

Countries citing papers authored by Igor Dolgachev

Since Specialization
Citations

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

Fields of papers citing papers by Igor Dolgachev

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Igor Dolgachev

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

All Works

20 of 20 papers shown
1.
Dolgachev, Igor & Shigeyuki Kondō. (2025). Enriques Surfaces II.
2.
Dolgachev, Igor, et al.. (2025). Automorphisms of del Pezzo surfaces incharacteristic 2. Algebra & Number Theory. 19(4). 715–761.
3.
Dolgachev, Igor, et al.. (2019). Numerically trivial automorphisms of Enriques surfaces in characteristic 2. Journal of the Mathematical Society of Japan. 71(4). 3 indexed citations
4.
Dolgachev, Igor & Ichiro Shimada. (2019). 15-Nodal quartic surfaces. Part II: the automorphism group. Rendiconti del Circolo Matematico di Palermo Series 2. 69(3). 1165–1191. 2 indexed citations
5.
Dolgachev, Igor & Alexander Duncan. (2019). Automorphisms of cubic surfaces in positive characteristic. Известия Российской академии наук Серия математическая. 83(3). 15–92. 18 indexed citations
6.
Dolgachev, Igor & Alexander Duncan. (2018). Automorphisms of cubic surfaces in positive characteristic. Izvestiya Mathematics. 83(3). 424–500. 14 indexed citations
7.
Dolgachev, Igor. (2016). Rational self-maps of moduli spaces. Pure and Applied Mathematics Quarterly. 12(3). 335–352. 1 indexed citations
8.
Dolgachev, Igor & Shigeyuki Kondō. (2013). The rationality of the moduli spaces of Coble surfaces and of nodal Enriques surfaces. Izvestiya Mathematics. 77(3). 509–524. 4 indexed citations
9.
Artebani, Michela & Igor Dolgachev. (2009). The Hesse pencil of plane cubic curves. 55(3). 235–273. 37 indexed citations
10.
Dolgachev, Igor & JongHae Keum. (2009). K3 surfaces with a symplectic automorphism of order 11. Journal of the European Mathematical Society. 11(4). 799–818. 6 indexed citations
11.
Dolgachev, Igor. (2007). Reflection groups in algebraic geometry. Bulletin of the American Mathematical Society. 45(1). 1–60. 25 indexed citations
12.
Dolgachev, Igor, Margarida Mendes Lopes, & Rita Pardini. (2002). Rational Surfaces with Many Nodes. Compositio Mathematica. 132(3). 349–363. 15 indexed citations
13.
Dolgachev, Igor & Valery A. Lunts. (1994). A Character Formula for the Representation of a Weyl Group in the Cohomology of the Associated Toric Variety. Journal of Algebra. 168(3). 741–772. 24 indexed citations
14.
Dolgachev, Igor, et al.. (1988). Point sets in projective spaces and theta functions. 146 indexed citations
15.
Dolgachev, Igor, et al.. (1984). On the Springer resolution of the minimal unipotent conjugacy class. Journal of Pure and Applied Algebra. 32(1). 33–47. 1 indexed citations
16.
Dolgachev, Igor. (1983). Integral quadratic forms : applications to algebraic geometry. French digital mathematics library (Numdam). 25. 251–278. 20 indexed citations
17.
Dolgachev, Igor. (1980). Cohomologically insignificant degenerations of algebraic varieties. Compositio Mathematica. 42(3). 279–313. 6 indexed citations
18.
Dolgachev, Igor. (1980). Newton polyhedra and factorial rings. Journal of Pure and Applied Algebra. 18(3). 253–258. 4 indexed citations
19.
Dolgachev, Igor. (1975). Automorphic forms and quasihomogeneous singularities. Functional Analysis and Its Applications. 9(2). 149–151. 31 indexed citations
20.
Dolgachev, Igor. (1974). Quotient-conical singularities on complex surfaces. Functional Analysis and Its Applications. 8(2). 160–161. 18 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Eduard Looijenga Breakdown of academic impact, for papers by Alexandru Dimca Breakdown of academic impact, for papers by Klaus Hulek Breakdown of academic impact, for papers by Walter D. Neumann Breakdown of academic impact, for papers by Dan Abramovich Breakdown of academic impact, for papers by Egbert Brieskorn Breakdown of academic impact, for papers by Finn F. Knudsen Breakdown of academic impact, for papers by Michel Brion Breakdown of academic impact, for papers by Arnaud Beauville Breakdown of academic impact, for papers by Tetsuji Shioda
Rankless by CCL
2026