Wolfgang Heil

505 total citations
48 papers, 361 citations indexed

About

Wolfgang Heil is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Wolfgang Heil has authored 48 papers receiving a total of 361 indexed citations (citations by other indexed papers that have themselves been cited), including 38 papers in Geometry and Topology, 29 papers in Mathematical Physics and 13 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Wolfgang Heil's work include Geometric and Algebraic Topology (37 papers), Homotopy and Cohomology in Algebraic Topology (26 papers) and Advanced Combinatorial Mathematics (12 papers). Wolfgang Heil is often cited by papers focused on Geometric and Algebraic Topology (37 papers), Homotopy and Cohomology in Algebraic Topology (26 papers) and Advanced Combinatorial Mathematics (12 papers). Wolfgang Heil collaborates with scholars based in United States, Mexico and Spain. Wolfgang Heil's co-authors include Benoı̂t Cushman-Roisin, Doron Nof, F. González-Acuña, C. McA. Gordon, Jeffrey L. Tollefson, Wilbur Whitten, Dongxu Wang and James J. O’Brien and has published in prestigious journals such as Journal of Geophysical Research Atmospheres, Pacific Journal of Mathematics and Proceedings of the American Mathematical Society.

In The Last Decade

Wolfgang Heil

42 papers receiving 258 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Wolfgang Heil United States 9 226 176 69 54 50 48 361
David P. Roberts United States 8 122 0.5× 86 0.5× 30 0.4× 36 0.7× 14 0.3× 30 228
Peter J. Eccles United Kingdom 12 138 0.6× 140 0.8× 11 0.2× 10 0.2× 12 0.2× 28 412
Frederick P. Gardiner United States 11 620 2.7× 215 1.2× 40 0.6× 14 0.3× 28 0.6× 30 739
Rémi Langevin France 13 253 1.1× 195 1.1× 51 0.7× 49 0.9× 4 0.1× 51 494
Alberto Perelli Italy 14 243 1.1× 377 2.1× 25 0.4× 9 0.2× 225 4.5× 96 794
Kenneth S. Brown United States 5 121 0.5× 108 0.6× 31 0.4× 2 0.0× 43 0.9× 9 350
M. J. Sevilla Spain 10 78 0.3× 186 1.1× 88 1.3× 49 0.9× 46 327
Yves Lacroix France 10 68 0.3× 203 1.2× 42 0.6× 3 0.1× 8 0.2× 38 309
Basudeb Datta India 11 111 0.5× 56 0.3× 119 1.7× 153 3.1× 35 265
Igor Wigman United Kingdom 9 187 0.8× 130 0.7× 5 0.1× 6 0.1× 4 0.1× 26 237

Countries citing papers authored by Wolfgang Heil

Since Specialization
Citations

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

Fields of papers citing papers by Wolfgang Heil

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Wolfgang Heil

This figure shows the co-authorship network connecting the top 25 collaborators of Wolfgang Heil. A scholar is included among the top collaborators of Wolfgang Heil 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 Wolfgang Heil. Wolfgang Heil 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.
González-Acuña, F., et al.. (2020). 2-stratifold spines of closed 3-manifolds. Osaka Journal of Mathematics. 57(2). 267–277. 3 indexed citations
2.
González-Acuña, F., et al.. (2020). Models of simply-connected trivalent 2-dimensional stratifolds. Boletín de la Sociedad Matemática Mexicana. 26(3). 1301–1312. 3 indexed citations
3.
Heil, Wolfgang, et al.. (2016). 2-dimensional stratifolds. arXiv (Cornell University). 395–405.
4.
González-Acuña, F., et al.. (2016). 2-dimensional stratifolds homotopy equivalent to S2. Topology and its Applications. 209. 56–62. 2 indexed citations
5.
González-Acuña, F., et al.. (2011). S2- and P2-category of manifolds. Topology and its Applications. 159(4). 1052–1058. 2 indexed citations
6.
González-Acuña, F., et al.. (2009). Coverings of 3-manifolds by open balls and two open solid tori. Topology and its Applications. 157(1). 179–181. 1 indexed citations
7.
González-Acuña, F., et al.. (2007). Fundamental groups of manifolds with S 1-category 2. Mathematische Zeitschrift. 259(2). 419–432. 9 indexed citations
8.
González-Acuña, F., et al.. (2006). A note on Hempel–McMillan coverings of 3-manifolds. Topology and its Applications. 154(7). 1363–1367. 4 indexed citations
9.
Heil, Wolfgang, et al.. (2004). 3-Manifolds that are covered by two open bundles. 10. 171–179. 6 indexed citations
10.
Heil, Wolfgang, et al.. (1994). Stiefel-Whitney surfaces and decompositions of 3-manifolds into handlebodies. Topology and its Applications. 60(3). 267–280. 7 indexed citations
11.
Heil, Wolfgang & Wilbur Whitten. (1994). The Seifert Fiber Space Conjecture and Torus Theorem for Nonorientable 3-Manifolds. Canadian Mathematical Bulletin. 37(4). 482–489. 4 indexed citations
12.
Heil, Wolfgang, Benoı̂t Cushman-Roisin, & James J. O’Brien. (1988). Realizing two-dimensional, continuous directed fields by vector fields and an algorithm to remove dichotomous ambiguity in a discrete field. Mathematical and Computer Modelling. 10(11). 853–862.
13.
Heil, Wolfgang & Jeffrey L. Tollefson. (1987). ON NIELSEN'S THEOREM FOR 3-MANIFOLDS. The Yokohama mathematical journal = 横濱市立大學紀要. D部門, 数学. 35(1). 1–20. 3 indexed citations
14.
Heil, Wolfgang & Jeffrey L. Tollefson. (1978). Deforming homotopy involutions of 3-manifolds to involutions. Topology. 17(4). 349–365. 5 indexed citations
15.
Gordon, C. McA. & Wolfgang Heil. (1975). Cyclic normal subgroups of fundamental groups of 3-manifolds. Topology. 14(4). 305–309. 17 indexed citations
16.
Heil, Wolfgang. (1975). Some Finitely Presented Non-3-Manifold Groups. Proceedings of the American Mathematical Society. 53(2). 497–497. 2 indexed citations
17.
Heil, Wolfgang. (1974). ELEMENTARY SURGERY ON SEIFERT FIBER SPACES. The Yokohama mathematical journal = 横濱市立大學紀要. D部門, 数学. 22(22). 135–140. 16 indexed citations
18.
Heil, Wolfgang. (1973). Almost sufficiently large Seifert fiber spaces.. The Michigan Mathematical Journal. 20(3). 10 indexed citations
19.
Heil, Wolfgang. (1973). 3-Manifolds that are Sums of Solid Tori and Seifert Fiber Spaces. Proceedings of the American Mathematical Society. 37(2). 609–609. 2 indexed citations
20.
Heil, Wolfgang. (1969). On the existence of incompressible surfaces in certain $3$-manifolds.. Proceedings of the American Mathematical Society. 23(3). 704–704. 5 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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