William Jaco

2.9k total citations · 1 hit paper
44 papers, 1.4k citations indexed

About

William Jaco is a scholar working on Geometry and Topology, Mathematical Physics and Computer Graphics and Computer-Aided Design. According to data from OpenAlex, William Jaco has authored 44 papers receiving a total of 1.4k indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Geometry and Topology, 18 papers in Mathematical Physics and 16 papers in Computer Graphics and Computer-Aided Design. Recurrent topics in William Jaco's work include Geometric and Algebraic Topology (32 papers), Computational Geometry and Mesh Generation (16 papers) and Homotopy and Cohomology in Algebraic Topology (14 papers). William Jaco is often cited by papers focused on Geometric and Algebraic Topology (32 papers), Computational Geometry and Mesh Generation (16 papers) and Homotopy and Cohomology in Algebraic Topology (14 papers). William Jaco collaborates with scholars based in United States, Australia and Austria. William Jaco's co-authors include Peter B. Shalen, J Rubinstein, Ulrich Oertel, Jeffrey L. Tollefson, Hyam Rubinstein, Stephan Tillmann, John Hempel, Marc Culler, Eric Sedgwick and D. R. McMillan and has published in prestigious journals such as Science, Annals of Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

William Jaco

41 papers receiving 1.1k citations

Hit Papers

Lectures on Three-Manifold Topology 1980 2026 1995 2010 1980 100 200 300 400
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. Lectures on Three-Manifold Topology
    1980 459 citations William Jaco profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
William Jaco United States 17 1.3k 883 369 289 239 44 1.4k
Friedhelm Waldhausen Germany 12 1.4k 1.0× 1.0k 1.2× 245 0.7× 217 0.8× 250 1.0× 18 1.5k
Robion Kirby United States 17 1.5k 1.1× 1.3k 1.5× 314 0.9× 217 0.8× 233 1.0× 27 1.7k
Heiner Zieschang Germany 19 972 0.7× 713 0.8× 248 0.7× 225 0.8× 148 0.6× 69 1.2k
Peter B. Shalen United States 20 1.9k 1.5× 1.5k 1.7× 508 1.4× 351 1.2× 356 1.5× 61 2.0k
Akio Kawauchi Japan 13 752 0.6× 480 0.5× 270 0.7× 217 0.8× 74 0.3× 83 827
David Gabai United States 20 1.8k 1.4× 1.4k 1.5× 517 1.4× 341 1.2× 365 1.5× 46 1.9k
Jerome Levine United States 20 1.3k 1.0× 1.0k 1.2× 211 0.6× 201 0.7× 139 0.6× 52 1.4k
Martin Scharlemann United States 18 947 0.7× 642 0.7× 300 0.8× 246 0.9× 101 0.4× 69 1.0k
Yakov Eliashberg United States 20 1.6k 1.2× 1.1k 1.3× 236 0.6× 198 0.7× 552 2.3× 51 1.7k
Marc Culler United States 16 1.6k 1.2× 1.2k 1.4× 465 1.3× 280 1.0× 217 0.9× 36 1.6k

Countries citing papers authored by William Jaco

Since Specialization
Citations

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

Fields of papers citing papers by William Jaco

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of William Jaco

This figure shows the co-authorship network connecting the top 25 collaborators of William Jaco. A scholar is included among the top collaborators of William Jaco 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 William Jaco. William Jaco 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.
Jaco, William, et al.. (2025). Complexity of 3-manifolds obtained by Dehnfilling. Algebraic & Geometric Topology. 25(1). 301–327.
2.
Jaco, William, et al.. (2024). Slope norm and an algorithm to compute the crosscap number. Algebraic & Geometric Topology. 24(8). 4307–4351. 1 indexed citations
3.
Jaco, William & J Rubinstein. (2014). Inflations of ideal triangulations. Advances in Mathematics. 267. 176–224. 5 indexed citations
4.
Jaco, William, et al.. (2014). The INGenIOuS project: Mathematics, statistics, and preparing the 21st Century workforce. 4 indexed citations
5.
Jaco, William, Frank H. Lutz, Francisco Santos, & John M. Sullivan. (2013). Triangulations. Oberwolfach Reports. 9(2). 1405–1486. 6 indexed citations
6.
Jaco, William, Hyam Rubinstein, & Stephan Tillmann. (2009). Minimal triangulations for an infinite family of lens spaces. Journal of Topology. 2(1). 157–180. 32 indexed citations
7.
Jaco, William & Eric Sedgwick. (2003). Decision problems in the space of Dehn fillings. Topology. 42(4). 845–906. 19 indexed citations
8.
Jaco, William & Jeffrey L. Tollefson. (1995). Algorithms for the complete decomposition of a closed $3$-manifold. Illinois Journal of Mathematics. 39(3). 57 indexed citations
9.
Jaco, William & J Rubinstein. (1989). PL equivariant surgery and invariant decompositions of 3-manifolds. Advances in Mathematics. 73(2). 149–191. 33 indexed citations
10.
Jaco, William & J Rubinstein. (1988). PL minimal surfaces in 3-manifolds. Journal of Differential Geometry. 27(3). 33 indexed citations
11.
12.
Jaco, William & Ulrich Oertel. (1984). An algorithm to decide if a 3-manifold is a Haken manifold. Topology. 23(2). 195–209. 75 indexed citations
13.
Jaco, William. (1980). Lectures on Three-Manifold Topology. 459 indexed citations breakdown →
14.
Jaco, William & Robert C. Myers. (1979). An Algebraic Determination of Closed Orientable 3-Manifolds. Transactions of the American Mathematical Society. 253. 149–149. 1 indexed citations
15.
Jaco, William & Peter B. Shalen. (1977). Surface homeomorphisms and periodicity. Topology. 16(4). 347–367. 12 indexed citations
16.
Jaco, William, et al.. (1973). Varieties of groups and three-manifolds. Topology. 12(1). 83–97. 12 indexed citations
17.
Jaco, William. (1972). Geometric realizations for free quotients. Journal of the Australian Mathematical Society. 14(4). 411–418. 6 indexed citations
18.
Jaco, William. (1970). On certain Subgroups of the fundamental group of a closed surface. Mathematical Proceedings of the Cambridge Philosophical Society. 67(1). 17–18. 2 indexed citations
19.
Jaco, William. (1969). Heegaard Splittings and Splitting Homomorphisms. Transactions of the American Mathematical Society. 144. 365–365. 9 indexed citations
20.
Jaco, William. (1969). Three-manifolds with fundamental group a free product. Bulletin of the American Mathematical Society. 75(5). 972–977. 12 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Friedhelm Waldhausen Breakdown of academic impact, for papers by Robion Kirby Breakdown of academic impact, for papers by Heiner Zieschang Breakdown of academic impact, for papers by Peter B. Shalen Breakdown of academic impact, for papers by Akio Kawauchi Breakdown of academic impact, for papers by David Gabai Breakdown of academic impact, for papers by Jerome Levine Breakdown of academic impact, for papers by Martin Scharlemann Breakdown of academic impact, for papers by Yakov Eliashberg Breakdown of academic impact, for papers by Marc Culler
Rankless by CCL
2026