Dirk Hofmann

1.3k total citations
58 papers, 664 citations indexed

About

Dirk Hofmann is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Geometry and Topology. According to data from OpenAlex, Dirk Hofmann has authored 58 papers receiving a total of 664 indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Mathematical Physics, 26 papers in Computational Theory and Mathematics and 22 papers in Geometry and Topology. Recurrent topics in Dirk Hofmann's work include Homotopy and Cohomology in Algebraic Topology (33 papers), Advanced Algebra and Logic (23 papers) and Logic, programming, and type systems (11 papers). Dirk Hofmann is often cited by papers focused on Homotopy and Cohomology in Algebraic Topology (33 papers), Advanced Algebra and Logic (23 papers) and Logic, programming, and type systems (11 papers). Dirk Hofmann collaborates with scholars based in Portugal, Germany and Canada. Dirk Hofmann's co-authors include Maria Manuel Clementino, Walter Tholen, R. Löwen, H.-R. Arntz, Karl Wegscheider, Stefan Hoffmann, Dietrich Andresen, George Janelidze, Eraldo Giuli and Klaus Gürlebeck and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Physics D Applied Physics and Fuzzy Sets and Systems.

In The Last Decade

Dirk Hofmann

52 papers receiving 589 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Dirk Hofmann Portugal 14 321 305 275 191 124 58 664
Marcel Erné Germany 14 334 1.0× 74 0.2× 141 0.5× 195 1.0× 64 0.5× 53 461
Simon Thomas United States 14 236 0.7× 269 0.9× 453 1.6× 15 0.1× 105 0.8× 81 669
L. B. Treybig United States 8 158 0.5× 100 0.3× 128 0.5× 22 0.1× 50 0.4× 28 317
Lawrence Narici United States 12 70 0.2× 239 0.8× 169 0.6× 25 0.1× 13 0.1× 36 462
Edward Beckenstein United States 12 62 0.2× 223 0.7× 160 0.6× 23 0.1× 13 0.1× 31 422
Luoshan Xu China 11 253 0.8× 17 0.1× 66 0.2× 174 0.9× 89 0.7× 41 321
Taqdir Husain Canada 12 222 0.7× 219 0.7× 239 0.9× 93 0.5× 11 0.1× 53 548
Richard Laver United States 15 584 1.8× 389 1.3× 761 2.8× 33 0.2× 63 0.5× 36 922
Bin Zhao China 13 392 1.2× 29 0.1× 43 0.2× 405 2.1× 68 0.5× 96 507
Luisa Di Piazza Italy 15 184 0.6× 319 1.0× 66 0.2× 12 0.1× 6 0.0× 55 553

Countries citing papers authored by Dirk Hofmann

Since Specialization
Citations

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

Fields of papers citing papers by Dirk Hofmann

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Dirk Hofmann

This figure shows the co-authorship network connecting the top 25 collaborators of Dirk Hofmann. A scholar is included among the top collaborators of Dirk Hofmann 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 Dirk Hofmann. Dirk Hofmann 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.
Clementino, Maria Manuel, et al.. (2025). A variety of co-quasivarieties. Topology and its Applications. 372. 109226–109226.
2.
Goncharov, S. A., et al.. (2023). A point-free perspective on lax extensions and predicate liftings. Mathematical Structures in Computer Science. 34(2). 98–127. 1 indexed citations
3.
Hofmann, Dirk, et al.. (2017). Aspects of algebraic Algebras. Logical Methods in Computer Science. Volume 13, Issue 3. 1 indexed citations
4.
Hofmann, Dirk, et al.. (2014). Monoidal Topology. Cambridge University Press eBooks. 51 indexed citations
5.
Hofmann, Dirk & Walter Tholen. (2012). Lax algebra meets topology. Topology and its Applications. 159(9). 2434–2452. 3 indexed citations
6.
Clementino, Maria Manuel & Dirk Hofmann. (2012). Descent morphisms and a van Kampen Theorem in categories of lax algebras. Topology and its Applications. 159(9). 2310–2319. 9 indexed citations
7.
Hofmann, Dirk, et al.. (2012). A duality of quantale-enriched categories. Journal of Pure and Applied Algebra. 216(8-9). 1866–1878. 10 indexed citations
8.
Clementino, Maria Manuel & Dirk Hofmann. (2011). On the completion monad via the Yoneda embedding in quasi-uniform spaces. Topology and its Applications. 158(17). 2423–2430. 8 indexed citations
9.
Hofmann, Dirk. (2010). Injective spaces via adjunction. Journal of Pure and Applied Algebra. 215(3). 283–302. 10 indexed citations
10.
Clementino, Maria Manuel & Dirk Hofmann. (2009). Relative injectivity as cocompleteness for a class of distributors. Theory and applications of categories. 21. 210–230. 9 indexed citations
11.
Giuli, Eraldo & Dirk Hofmann. (2009). Affine sets: The structure of complete objects and duality. Topology and its Applications. 156(12). 2129–2136. 8 indexed citations
12.
Hofmann, Dirk, et al.. (2008). Vergangenheit in der Gegenwart : vom Umgang mit Diktaturerfahrungen in Ost- und Westeuropa. Wallstein eBooks. 3 indexed citations
13.
Hofmann, Dirk. (2007). Topological theories and closed objects. Advances in Mathematics. 215(2). 789–824. 40 indexed citations
14.
Hofmann, Dirk & Walter Tholen. (2006). Kleisli compositions for topological spaces. Topology and its Applications. 153(15). 2952–2961. 13 indexed citations
15.
Hofmann, Dirk. (2005). Exponentiation for unitary structures. Topology and its Applications. 153(16). 3180–3202. 6 indexed citations
16.
Clementino, Maria Manuel & Dirk Hofmann. (2005). Exponentiation in V-categories. Topology and its Applications. 153(16). 3113–3128. 9 indexed citations
17.
Hofmann, Dirk. (2005). An algebraic description of regular epimorphisms in topology. Journal of Pure and Applied Algebra. 199(1-3). 71–86. 9 indexed citations
18.
Clementino, Maria Manuel, Dirk Hofmann, & Walter Tholen. (2004). One Setting for All: Metric, Topology, Uniformity, Approach Structure. Applied Categorical Structures. 12(2). 127–154. 48 indexed citations
19.
Clementino, Maria Manuel, Dirk Hofmann, & Walter Tholen. (2003). Exponentiability in categories of lax algebras. Theory and applications of categories. 11. 337–352. 16 indexed citations
20.
Clementino, Maria Manuel & Dirk Hofmann. (2002). On limit stability of special classes of continuous maps. Topology and its Applications. 125(3). 471–488. 3 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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