Simon Donaldson

15.3k total citations · 5 hit papers
73 papers, 6.5k citations indexed

About

Simon Donaldson is a scholar working on Geometry and Topology, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Simon Donaldson has authored 73 papers receiving a total of 6.5k indexed citations (citations by other indexed papers that have themselves been cited), including 55 papers in Geometry and Topology, 32 papers in Applied Mathematics and 26 papers in Mathematical Physics. Recurrent topics in Simon Donaldson's work include Geometry and complex manifolds (35 papers), Geometric Analysis and Curvature Flows (29 papers) and Geometric and Algebraic Topology (24 papers). Simon Donaldson is often cited by papers focused on Geometry and complex manifolds (35 papers), Geometric Analysis and Curvature Flows (29 papers) and Geometric and Algebraic Topology (24 papers). Simon Donaldson collaborates with scholars based in United Kingdom, United States and Slovakia. Simon Donaldson's co-authors include P. B. Kronheimer, Song Sun, Xiuxiong Chen, Robert Friedman, Dennis Sullivan, D. Kotschick, Mikio Furuta, Ludmil Katzarkov, Denis Auroux and Ivan Smith and has published in prestigious journals such as Communications in Mathematical Physics, Acta Mathematica and Bulletin of the London Mathematical Society.

In The Last Decade

Simon Donaldson

69 papers receiving 5.5k citations

Hit Papers

The Geometry of Four-Manifolds 1985 2026 1998 2012 1990 1990 1985 2002 2014 200 400 600
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. The Geometry of Four-Manifolds
    1990 618 citations Simon Donaldson, P. B. Kronheimer profile →
  2. The Geometry of Four-Manifolds
    1990 569 citations Simon Donaldson, P. B. Kronheimer profile →
  3. Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
    1985 551 citations Simon Donaldson profile →
  4. Scalar Curvature and Stability of Toric Varieties
    2002 306 citations Simon Donaldson Journal of Differential Geometry profile →
  5. Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities
    2014 167 citations Xiuxiong Chen, Simon Donaldson et al. Journal of the American Mathematical Society profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Simon Donaldson United Kingdom 35 5.3k 3.0k 2.8k 1.2k 794 73 6.5k
P. B. Kronheimer United States 23 2.6k 0.5× 1.9k 0.6× 776 0.3× 728 0.6× 456 0.6× 39 3.2k
H. Blaine Lawson United States 30 3.4k 0.6× 1.3k 0.4× 3.7k 1.3× 427 0.4× 284 0.4× 87 4.8k
Daniel S. Freed United States 27 1.2k 0.2× 1.4k 0.5× 388 0.1× 1.2k 1.0× 682 0.9× 54 2.7k
V. K. Patodi United States 10 829 0.2× 1.8k 0.6× 823 0.3× 555 0.5× 470 0.6× 11 2.6k
Sergei Gukov United States 33 1.8k 0.3× 1.1k 0.4× 137 0.0× 2.6k 2.2× 1.2k 1.5× 81 3.6k
Joachim Cuntz Germany 21 1.2k 0.2× 2.9k 1.0× 503 0.2× 345 0.3× 758 1.0× 51 3.4k
Scott A. Wolpert United States 23 1.1k 0.2× 759 0.3× 600 0.2× 232 0.2× 249 0.3× 46 1.7k
Vladimir G. Turaev Russia 18 2.6k 0.5× 2.0k 0.7× 71 0.0× 508 0.4× 535 0.7× 36 3.1k
André Lichnerowicz France 21 1.3k 0.3× 1.3k 0.4× 697 0.3× 1.0k 0.9× 968 1.2× 77 3.6k
Robbert Dijkgraaf Netherlands 29 1.9k 0.4× 1.0k 0.3× 63 0.0× 2.8k 2.4× 1.9k 2.3× 56 4.2k

Countries citing papers authored by Simon Donaldson

Since Specialization
Citations

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

Fields of papers citing papers by Simon Donaldson

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Simon Donaldson

This figure shows the co-authorship network connecting the top 25 collaborators of Simon Donaldson. A scholar is included among the top collaborators of Simon Donaldson 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 Simon Donaldson. Simon Donaldson 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.
Donaldson, Simon. (2021). Atiyah’s work on holomorphic vector bundles and gauge theories. Bulletin of the American Mathematical Society. 58(4). 567–610. 2 indexed citations
2.
Donaldson, Simon. (2019). An elliptic boundary value problem for G 2 -structures. Annales de l’institut Fourier. 68(7). 2783–2809. 1 indexed citations
3.
Donaldson, Simon. (2019). Karen Uhlenbeck and the Calculus of Variations. Notices of the American Mathematical Society. 66(3). 1–1.
4.
Donaldson, Simon & Song Sun. (2017). Gromov–Hausdorff limits of Kähler manifolds and algebraic geometry, II. Journal of Differential Geometry. 107(2). 31 indexed citations
5.
Chen, Xiuxiong, Simon Donaldson, & Song Sun. (2014). Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof. Journal of the American Mathematical Society. 28(1). 235–278. 114 indexed citations
6.
Chen, Xiuxiong, Simon Donaldson, & Song Sun. (2014). Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \boldmath2𝜋. Journal of the American Mathematical Society. 28(1). 199–234. 118 indexed citations
7.
Donaldson, Simon. (2011). On the Work of Louis Nirenberg. Notices of the American Mathematical Society. 58(3). 469–472.
8.
Bendixen, Roxanna, et al.. (2011). Effects of a Father-Based In-Home Intervention on Perceived Stress and Family Dynamics in Parents of Children With Autism. American Journal of Occupational Therapy. 65(6). 679–687. 47 indexed citations
9.
Donaldson, Simon, et al.. (2006). Toric Anti-self-dual 4-manifolds Via Complex Geometry. Mathematische Annalen. 336(2). 281–309. 5 indexed citations
10.
Auroux, Denis, et al.. (2004). Fundamental groups of complements of plane curves and symplectic invariants. Topology. 43(6). 1285–1318. 15 indexed citations
11.
Donaldson, Simon & Ivan Smith. (2003). Lefschetz pencils and the canonical class for symplectic four-manifolds. Topology. 42(4). 743–785. 25 indexed citations
12.
Auroux, Denis, Simon Donaldson, & Ludmil Katzarkov. (2003). Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves. Mathematische Annalen. 326(1). 185–203. 34 indexed citations
13.
Donaldson, Simon. (2001). 4-MANIFOLDS AND KIRBY CALCULUS (Graduate Studies in Mathematics 20). Bulletin of the London Mathematical Society. 33(1). 119–121. 93 indexed citations
14.
Donaldson, Simon. (1999). Lefschetz pencils on symplectic manifolds. Journal of Differential Geometry. 53(2). 92 indexed citations
15.
Donaldson, Simon, et al.. (1991). Geometry of Low-Dimensional Manifolds. Cambridge University Press eBooks. 32 indexed citations
16.
Donaldson, Simon & C. B. Thomas. (1991). Geometry of Low-Dimensional Manifolds. 256. 21 indexed citations
17.
Donaldson, Simon & P. B. Kronheimer. (1990). The Geometry of Four-Manifolds. 618 indexed citations breakdown →
18.
Donaldson, Simon. (1990). Polynomial invariants for smooth four-manifolds. Topology. 29(3). 257–315. 298 indexed citations
19.
Donaldson, Simon. (1987). Infinite determinants, stable bundles and curvature. Duke Mathematical Journal. 54(1). 211 indexed citations
20.
Donaldson, Simon. (1987). Irrationality and the $h$-cobordism conjecture. Journal of Differential Geometry. 26(1). 107 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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