Franz‐Viktor Kuhlmann

1.0k total citations
52 papers, 358 citations indexed

About

Franz‐Viktor Kuhlmann is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Franz‐Viktor Kuhlmann has authored 52 papers receiving a total of 358 indexed citations (citations by other indexed papers that have themselves been cited), including 42 papers in Geometry and Topology, 20 papers in Algebra and Number Theory and 13 papers in Mathematical Physics. Recurrent topics in Franz‐Viktor Kuhlmann's work include Algebraic Geometry and Number Theory (24 papers), Advanced Topology and Set Theory (24 papers) and Rings, Modules, and Algebras (14 papers). Franz‐Viktor Kuhlmann is often cited by papers focused on Algebraic Geometry and Number Theory (24 papers), Advanced Topology and Set Theory (24 papers) and Rings, Modules, and Algebras (14 papers). Franz‐Viktor Kuhlmann collaborates with scholars based in Canada, Poland and Germany. Franz‐Viktor Kuhlmann's co-authors include Salma Kuhlmann, Peter Roquette, Saharon Shelah, Lou van den Dries, Antonio Campillo, Enric Nart, M. Marshall, Bernard Teissier, Henri Lombardi and L. R. Jones and has published in prestigious journals such as Transactions of the American Mathematical Society, Inventiones mathematicae and Advances in Mathematics.

In The Last Decade

Franz‐Viktor Kuhlmann

46 papers receiving 331 citations

Peers

Franz‐Viktor Kuhlmann
Patrick Speissegger Canada
Raf Cluckers Belgium
Vladimir Uspenskij United States
Ігор Протасов Ukraine
Salvador Hernández Spain
Gaël Rémond France
F. Delgado Spain
José F. Fernando Spain
Atsushi Moriwaki Japan
Tomasz Szemberg Poland
Patrick Speissegger Canada
Franz‐Viktor Kuhlmann
Citations per year, relative to Franz‐Viktor Kuhlmann Franz‐Viktor Kuhlmann (= 1×) peers Patrick Speissegger

Countries citing papers authored by Franz‐Viktor Kuhlmann

Since Specialization
Citations

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

Fields of papers citing papers by Franz‐Viktor Kuhlmann

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Franz‐Viktor Kuhlmann. 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 Franz‐Viktor Kuhlmann. The network helps show where Franz‐Viktor Kuhlmann may publish in the future.

Co-authorship network of co-authors of Franz‐Viktor Kuhlmann

This figure shows the co-authorship network connecting the top 25 collaborators of Franz‐Viktor Kuhlmann. A scholar is included among the top collaborators of Franz‐Viktor Kuhlmann 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 Franz‐Viktor Kuhlmann. Franz‐Viktor Kuhlmann 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.
Cutkosky, Steven Dale, et al.. (2025). On the computation of Kähler differentials and characterizations of Galois extensions with independent defect. Mathematische Nachrichten. 298(5). 1549–1577.
2.
Kuhlmann, Franz‐Viktor, et al.. (2023). Tame key polynomials. Journal of Algebra. 629. 162–190. 2 indexed citations
3.
Kuhlmann, Franz‐Viktor, et al.. (2023). The valuation theory of deeply ramified fields and its connection with defect extensions. Transactions of the American Mathematical Society. 376(4). 2693–2738. 5 indexed citations
4.
Kuhlmann, Franz‐Viktor, et al.. (2020). On valuation independence and defectless extensions of valued fields. Journal of Algebra. 555. 69–95.
5.
Kubiś, Wiesław & Franz‐Viktor Kuhlmann. (2018). Chain intersection closures. arXiv (Cornell University).
6.
Kuhlmann, Franz‐Viktor, et al.. (2017). Fixed point theorems for spaces with a transitive relation. Fixed Point Theory. 18(2). 663–672. 2 indexed citations
7.
Kuhlmann, Franz‐Viktor, et al.. (2014). Henselian elements. Journal of Algebra. 418. 44–65. 1 indexed citations
8.
Kuhlmann, Franz‐Viktor, et al.. (2013). Henselian Elements. arXiv (Cornell University). 1 indexed citations
9.
Kuhlmann, Franz‐Viktor & Salma Kuhlmann. (2012). Valuation theory of exponential Hardy fields. KOPS (University of Konstanz). 1 indexed citations
10.
Kuhlmann, Franz‐Viktor. (2010). Elimination of ramification I: The generalized stability theorem. Transactions of the American Mathematical Society. 362(11). 5697–5727. 8 indexed citations
11.
Kuhlmann, Franz‐Viktor, Salma Kuhlmann, & Jonathan Lee. (2009). Valuation bases for generalized algebraic series fields. Journal of Algebra. 322(5). 1430–1453. 1 indexed citations
12.
Kuhlmann, Franz‐Viktor, et al.. (2009). Every place admits local uniformization in a finite extension of the function field. Advances in Mathematics. 221(2). 428–453. 16 indexed citations
13.
Kuhlmann, Franz‐Viktor, et al.. (2004). Neue Herausforderungen der Landnutzungsmodellierung. Standorttheoretische Ãœberlegungen zur Abbildung der Multifunktionalität von Landschaften. 39. 1 indexed citations
14.
Kuhlmann, Franz‐Viktor. (2004). Places of algebraic function fields in arbitrary characteristic. Advances in Mathematics. 188(2). 399–424. 15 indexed citations
15.
Kuhlmann, Franz‐Viktor & Salma Kuhlmann. (2003). Valuation theory of exponential Hardy fields I. Mathematische Zeitschrift. 243(4). 671–688. 3 indexed citations
16.
Kuhlmann, Franz‐Viktor, et al.. (2002). Valuation Theory and Its Applications, Volume I. American Mathematical Society eBooks. 2 indexed citations
17.
Kuhlmann, Franz‐Viktor. (2001). Elementary properties of power series fields over finite fields. Journal of Symbolic Logic. 66(2). 771–791. 13 indexed citations
18.
Kuhlmann, Franz‐Viktor & Henri Lombardi. (2000). Construction du hensélisé d'un corps valué. Journal of Algebra. 228(2). 624–632. 4 indexed citations
19.
Jones, L. R., et al.. (1990). A knowledge-based natural-language approach to retrieving information from an on-farm database.. 249–253. 2 indexed citations
20.
Kuhlmann, Franz‐Viktor, et al.. (1984). On places of algebraic function fields.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1984(353). 181–195. 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.

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