Allen Hatcher

8.7k citations
39 papers · 3.7k · 1 hit paper · h-index 21

Impact in

    • Geometric and Algebraic Topology
    • Algebraic structures and combinatorial models
    • Algebraic Geometry and Number Theory
    • Homotopy and Cohomology in Algebraic Topology
    • Mathematical Dynamics and Fractals

Papers in

    • Geometric and Algebraic Topology 28
    • Algebraic Geometry and Number Theory 4
    • Advanced Topology and Set Theory 3
    • Homotopy and Cohomology in Algebraic Topology 18
    • Mathematical Dynamics and Fractals 13

Allen Hatcher

38 papers receiving 3.2k citations

Allen Hatcher's Hit Papers

Algebraic topology 2001 · 2.3k citations
2.3k0+8+16Years since publication50010001.5k2.0k

Peers

Allen Hatcher
Comparison fields: 5 of 106
  • Geometry and Topology 2.3k
  • Mathematical Physics 2.1k
  • Discrete Mathematics and Combinatorics 487
  • Computer Graphics and Computer-Aided Design 270
  • Algebra and Number Theory 313
Replace D. B. A. Epstein with:
D. B. A. Epstein United Kingdom
William S. Massey United States
André Haefliger Switzerland
Joan S. Birman United States
Oded Schramm United States
Andrew J. Sommese United States
C. T. C. Wall United Kingdom
M. Gromov France
C. A. Rogers United Kingdom
W. O. J. Moser Canada
Allen Hatcher relative to D. B. A. Epstein United Kingdom D. B. A. Epstein's profile →
Citations per field
00.5×3.1×
D. B. A. Epstein · 1×
Citations per year

Countries citing papers authored by Allen Hatcher

Since Specialization
Citations

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

Fields of papers citing papers by Allen Hatcher

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

The 14 scholars most cited alongside Allen Hatcher, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Allen Hatcher Line = papers co-authored together Allen Hatcher links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 39 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Algebraic topology
Hit paper breakdown →
20012329
2 1985169
3 1980153
4 1983121
5 199180
6 199571
7
Pseudo-isotopies of compact manifolds
197368
8 198265
9 197657
10 197553
11 198951
12 201046
13 200038
14 199833
15 200431
16 198831
17 198331
18 197430
19 199830
20 201329

About Allen Hatcher

Allen Hatcher is a scholar working on Geometry and Topology, Mathematical Physics, Computational Theory and Mathematics, Applied Mathematics and Computer Graphics and Computer-Aided Design, having authored 39 papers that have together received 3.7k indexed citations. Recurring topics across this work include Geometric and Algebraic Topology (28 papers), Homotopy and Cohomology in Algebraic Topology (18 papers), Mathematical Dynamics and Fractals (13 papers), Geometric Analysis and Curvature Flows (6 papers), Topological and Geometric Data Analysis (5 papers), Computational Geometry and Mesh Generation (4 papers), Algebraic Geometry and Number Theory (4 papers) and Advanced Topology and Set Theory (3 papers). The work is most often cited by research in Geometry and Topology (2.3k citations), Mathematical Physics (2.1k citations), Discrete Mathematics and Combinatorics (487 citations), Computer Graphics and Computer-Aided Design (270 citations) and Algebra and Number Theory (313 citations). Allen Hatcher has collaborated with scholars based in United States, United Kingdom and Netherlands. Frequent co-authors include William P. Thurston, Karen Vogtmann, William Floyd, Ulrich Oertel, J. B. Wagoner, Nathalie Wahl, Tara Brendle, Frank Quinn, Pierre Lochak and Leila Schneps. Their work appears in journals such as Topology, Pacific Journal of Mathematics, Commentarii Mathematici Helvetici, Annals of Mathematics and Inventiones mathematicae.

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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