Andreas Kriegl

1.8k total citations · 1 hit paper
30 papers, 833 citations indexed

About

Andreas Kriegl is a scholar working on Mathematical Physics, Applied Mathematics and Geometry and Topology. According to data from OpenAlex, Andreas Kriegl has authored 30 papers receiving a total of 833 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Mathematical Physics, 13 papers in Applied Mathematics and 12 papers in Geometry and Topology. Recurrent topics in Andreas Kriegl's work include Advanced Topics in Algebra (8 papers), Holomorphic and Operator Theory (8 papers) and Advanced Banach Space Theory (7 papers). Andreas Kriegl is often cited by papers focused on Advanced Topics in Algebra (8 papers), Holomorphic and Operator Theory (8 papers) and Advanced Banach Space Theory (7 papers). Andreas Kriegl collaborates with scholars based in Austria, Russia and United Kingdom. Andreas Kriegl's co-authors include Peter W. Michor, Alfred Frölicher, Mark Losik, Dmitri V. Alekseevsky, Louis H. Nel, Walter Schachermayer, Yoshiaki Maeda, Michel Dubois‐Violette and Éva Ádám and has published in prestigious journals such as Journal of Functional Analysis, Acta Mathematica and Proceedings of the American Mathematical Society.

In The Last Decade

Andreas Kriegl

30 papers receiving 718 citations

Hit Papers

The Convenient Setting of Global Analysis 1997 2026 2006 2016 1997 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. The Convenient Setting of Global Analysis
    1997 389 citations Andreas Kriegl, Peter W. Michor profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Andreas Kriegl Austria 14 530 361 324 245 126 30 833
Hershel M. Farkas Israel 11 384 0.7× 611 1.7× 317 1.0× 224 0.9× 178 1.4× 38 1.0k
Bent Ørsted Denmark 20 638 1.2× 394 1.1× 661 2.0× 186 0.8× 176 1.4× 91 1.1k
Simon Gindikin United States 16 433 0.8× 278 0.8× 501 1.5× 117 0.5× 95 0.8× 83 877
A. L. Onishchik Russia 9 640 1.2× 726 2.0× 230 0.7× 360 1.5× 175 1.4× 22 1.0k
Vladimı́r Souček Czechia 17 371 0.7× 307 0.9× 1.2k 3.8× 302 1.2× 138 1.1× 79 1.5k
Garth Warner United States 11 856 1.6× 481 1.3× 349 1.1× 367 1.5× 123 1.0× 23 1.1k
Alfred Frölicher Switzerland 10 343 0.6× 361 1.0× 217 0.7× 230 0.9× 173 1.4× 16 754
S. J. Patterson Germany 17 856 1.6× 654 1.8× 367 1.1× 354 1.4× 153 1.2× 47 1.2k
Lawrence Corwin United States 16 729 1.4× 543 1.5× 310 1.0× 418 1.7× 166 1.3× 61 1.1k
Bernard Shiffman United States 20 413 0.8× 919 2.5× 761 2.3× 89 0.4× 62 0.5× 56 1.2k

Countries citing papers authored by Andreas Kriegl

Since Specialization
Citations

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

Fields of papers citing papers by Andreas Kriegl

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Andreas Kriegl

This figure shows the co-authorship network connecting the top 25 collaborators of Andreas Kriegl. A scholar is included among the top collaborators of Andreas Kriegl 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 Andreas Kriegl. Andreas Kriegl 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.
Kriegl, Andreas, et al.. (2011). The convenient setting for quasianalytic Denjoy–Carleman differentiable mappings. Journal of Functional Analysis. 261(7). 1799–1834. 15 indexed citations
2.
Kriegl, Andreas, et al.. (2009). The convenient setting for non-quasianalytic Denjoy–Carleman differentiable mappings. Journal of Functional Analysis. 256(11). 3510–3544. 14 indexed citations
3.
Kriegl, Andreas, et al.. (2006). Many parameter Lipschitz perturbation of unbounded operators. arXiv (Cornell University). 2 indexed citations
4.
Kriegl, Andreas, Mark Losik, & Peter W. Michor. (2004). Choosing roots of polynomials smoothly, II. Israel Journal of Mathematics. 139(1). 183–188. 33 indexed citations
5.
Kriegl, Andreas, Mark Losik, & Peter W. Michor. (2003). Tensor Fields and Connections on Holomorphic Orbit Spaces of Finite Groups. Journal of Lie theory. 13(2). 519–534. 1 indexed citations
6.
Alekseevsky, Dmitri V., Andreas Kriegl, Mark Losik, & Peter W. Michor. (2003). The Riemannian geometry of orbit spaces -- the metric, geodesics, and integrable systems. Publicationes Mathematicae Debrecen. 62(3-4). 247–276. 16 indexed citations
7.
Dubois‐Violette, Michel, Andreas Kriegl, Yoshiaki Maeda, & Peter W. Michor. (2001). Smooth *-algebras. arXiv (Cornell University). 8 indexed citations
8.
Alekseevsky, Dmitri V., Andreas Kriegl, Mark Losik, & Peter W. Michor. (2000). Lifting smooth curves over invariants for representations of compact Lie groups. Transformation Groups. 5(2). 103–110. 11 indexed citations
9.
Ádám, Éva, et al.. (1999). Countably evaluating homomorphisms on real function algebras. Archivum Mathematicum. 35(2). 165–192. 3 indexed citations
10.
Alekseevsky, Dmitri V., Andreas Kriegl, Peter W. Michor, & Mark Losik. (1998). Choosing roots of polynomials smoothly. Israel Journal of Mathematics. 105(1). 203–233. 40 indexed citations
11.
Kriegl, Andreas & Peter W. Michor. (1993). More Smoothly Real Compact Spaces. Proceedings of the American Mathematical Society. 117(2). 467–467. 2 indexed citations
12.
Frölicher, Alfred & Andreas Kriegl. (1993). Differentiable extensions of functions. Differential Geometry and its Applications. 3(1). 71–90. 2 indexed citations
13.
Kriegl, Andreas & Peter W. Michor. (1993). More smoothly real compact spaces. Proceedings of the American Mathematical Society. 117(2). 467–471. 7 indexed citations
14.
Kriegl, Andreas & Peter W. Michor. (1991). Aspects of the theory of infinite dimensional manifolds. Differential Geometry and its Applications. 1(2). 159–176. 16 indexed citations
15.
Kriegl, Andreas, Peter W. Michor, & Walter Schachermayer. (1989). Characters on algebras of smooth functions. Annals of Global Analysis and Geometry. 7(2). 85–92. 14 indexed citations
16.
Frölicher, Alfred & Andreas Kriegl. (1988). Linear spaces and differentiation theory. Medical Entomology and Zoology. 114 indexed citations
17.
Kriegl, Andreas, et al.. (1987). C∞-algebras from the functional analytic view point. Journal of Pure and Applied Algebra. 46(1). 89–107. 6 indexed citations
18.
Kriegl, Andreas & Louis H. Nel. (1985). A convenient setting for holomorphy. French digital mathematics library (Numdam). 26(3). 273–309. 20 indexed citations
19.
Kriegl, Andreas. (1982). Die richtigen R�ume f�r Analysis im Unendlich-Dimensionalen. Monatshefte für Mathematik. 94(2). 109–124. 16 indexed citations
20.
Kriegl, Andreas. (1981). A characterization of reduced incidence algebras. Discrete Mathematics. 34(2). 141–144. 1 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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