Kari Astala

3.2k total citations · 1 hit paper
53 papers, 1.7k citations indexed

About

Kari Astala is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Kari Astala has authored 53 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Applied Mathematics, 34 papers in Geometry and Topology and 25 papers in Mathematical Physics. Recurrent topics in Kari Astala's work include Analytic and geometric function theory (26 papers), Nonlinear Partial Differential Equations (12 papers) and Advanced Mathematical Modeling in Engineering (11 papers). Kari Astala is often cited by papers focused on Analytic and geometric function theory (26 papers), Nonlinear Partial Differential Equations (12 papers) and Advanced Mathematical Modeling in Engineering (11 papers). Kari Astala collaborates with scholars based in Finland, United States and Spain. Kari Astala's co-authors include Lassi Païvärinta, Tadeusz Iwaniec, Gaven Martin, F. W. Gehring, Eero Saksman, Pekka Koskela, Michel Zinsmeister, Hans-Olav Tylli, Matti Lassas and Jani Onninen and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Journal of Computational Physics and Annals of Mathematics.

In The Last Decade

Kari Astala

51 papers receiving 1.5k citations

Hit Papers

Elliptic Partial Differential Equations and Quasiconforma... 2008 2026 2014 2020 2008 100 200 300
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. Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48)
    2008 314 citations Kari Astala, Tadeusz Iwaniec et al. Princeton University Press eBooks profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Kari Astala Finland 19 1.0k 793 768 420 239 53 1.7k
John P. D’Angelo United States 19 620 0.6× 174 0.2× 505 0.7× 76 0.2× 386 1.6× 95 1.2k
Norman G. Meyers United States 16 1.1k 1.0× 542 0.7× 189 0.2× 727 1.7× 47 0.2× 24 1.5k
Marius Mitrea United States 30 2.0k 1.9× 1.4k 1.7× 67 0.1× 1.4k 3.4× 58 0.2× 134 2.7k
Gaven Martin New Zealand 21 1.4k 1.4× 748 0.9× 1.5k 2.0× 381 0.9× 20 0.1× 116 2.1k
Francesco Maggi Italy 19 1.2k 1.1× 439 0.6× 273 0.4× 578 1.4× 14 0.1× 52 1.5k
Gregory C. Verchota United States 16 933 0.9× 533 0.7× 53 0.1× 910 2.2× 82 0.3× 32 1.3k
Giovanni Leoni United States 17 633 0.6× 326 0.4× 89 0.1× 593 1.4× 19 0.1× 57 1.2k
Tadeusz Iwaniec United States 31 3.4k 3.3× 1.4k 1.7× 1.7k 2.2× 1.2k 2.9× 8 0.0× 100 4.0k
E. Acerbi Italy 20 2.6k 2.5× 1.1k 1.4× 257 0.3× 2.5k 6.0× 22 0.1× 55 3.3k
Cristian E. Gutiérrez United States 21 1.1k 1.0× 358 0.5× 422 0.5× 314 0.7× 33 0.1× 74 1.3k

Countries citing papers authored by Kari Astala

Since Specialization
Citations

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

Fields of papers citing papers by Kari Astala

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Kari Astala

This figure shows the co-authorship network connecting the top 25 collaborators of Kari Astala. A scholar is included among the top collaborators of Kari Astala 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 Kari Astala. Kari Astala 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.
Astala, Kari, et al.. (2024). Global smoothness of quasiconformal mappings in the Triebel-Lizorkin scale. Journal de Mathématiques Pures et Appliquées. 186. 205–250.
2.
Astala, Kari, et al.. (2014). Nonlinear Fourier analysis for discontinuous conductivities: Computational results. Journal of Computational Physics. 276. 74–91. 6 indexed citations
3.
Astala, Kari & Pekka Koskela. (2011). H<sup>p</sup>-theory for Quasiconformal Mappings. Pure and Applied Mathematics Quarterly. 7(1). 19–50. 9 indexed citations
4.
Astala, Kari, Peter W. Jones, A. Kupiainen, & Eero Saksman. (2010). Random curves by conformal welding. Comptes Rendus Mathématique. 348(5-6). 257–262. 8 indexed citations
5.
Astala, Kari, Daniel Faraco, & László Székelyhidi. (2009). Convex integration and the Lp theory of elliptic equations. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. 1–50. 23 indexed citations
6.
Astala, Kari, Jennifer L. Mueller, Lassi Païvärinta, & Samuli Siltanen. (2009). Numerical computation of complex geometrical optics solutions to the conductivity equation. Applied and Computational Harmonic Analysis. 29(1). 2–17. 27 indexed citations
7.
Astala, Kari, Tadeusz Iwaniec, & Gaven Martin. (2009). Deformations of Annuli with Smallest Mean Distortion. Archive for Rational Mechanics and Analysis. 195(3). 899–921. 35 indexed citations
8.
Astala, Kari, Tadeusz Iwaniec, & Gaven Martin. (2008). Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48). Princeton University Press eBooks. 314 indexed citations breakdown →
9.
Astala, Kari & Lassi Païvärinta. (2006). A boundary integral equation for Calderón's inverse conductivity problem. Collectanea mathematica. 57(1). 126–139. 20 indexed citations
10.
Astala, Kari, Mario Bonk, & Juha Heinonen. (2002). Quasiconformal mappings with Sobolev boundary values. French digital mathematics library (Numdam). 1(3). 687–731. 3 indexed citations
11.
Astala, Kari & Daniel Faraco. (2002). Quasiregular mappings and Young measures. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 132(5). 1045–1056. 2 indexed citations
12.
Astala, Kari & Daniel Faraco. (2002). Quasiregular mappings and Young measures. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 132(5). 1045–1056. 14 indexed citations
13.
Astala, Kari, Tadeusz Iwaniec, Pekka Koskela, & Gaven Martin. (2000). Mappings of BMO–bounded distortion. Mathematische Annalen. 317(4). 703–726. 79 indexed citations
14.
Astala, Kari. (1994). Area distortion of quasiconformal mappings. Acta Mathematica. 173(1). 37–60. 166 indexed citations
15.
Astala, Kari & F. W. Gehring. (1993). Injectivity, the BMO norm and the universal Teichmüller space. Journal d Analyse Mathématique. 60(1). 16–57. 38 indexed citations
16.
Astala, Kari & Hans-Olav Tylli. (1990). Seminorms related to weak compactness and to Tauberian operators. Mathematical Proceedings of the Cambridge Philosophical Society. 107(2). 367–375. 39 indexed citations
17.
Astala, Kari & F. W. Gehring. (1990). Crickets, zippers and the Bers universal Teichmüller space. Proceedings of the American Mathematical Society. 110(3). 675–687. 3 indexed citations
18.
Astala, Kari & Juha Heinonen. (1988). On quasiconformal rigidity in space and plane. Annales Academiae Scientiarum Fennicae Series A I Mathematica. 13. 81–92. 3 indexed citations
19.
Astala, Kari & Hans-Olav Tylli. (1987). On the bounded compact approximation property and measures of noncompactness. Journal of Functional Analysis. 70(2). 388–401. 22 indexed citations
20.
Astala, Kari. (1983). A remark on quasiconformal mappings and BMO-functions.. The Michigan Mathematical Journal. 30(2). 17 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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