Allen Hatcher

8.5k total citations · 1 hit paper
39 papers, 3.6k citations indexed

About

Allen Hatcher is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Allen Hatcher has authored 39 papers receiving a total of 3.6k indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Geometry and Topology, 30 papers in Mathematical Physics and 7 papers in Computational Theory and Mathematics. Recurrent topics in Allen Hatcher's work include Geometric and Algebraic Topology (28 papers), Homotopy and Cohomology in Algebraic Topology (18 papers) and Mathematical Dynamics and Fractals (13 papers). Allen Hatcher is often cited by papers focused on Geometric and Algebraic Topology (28 papers), Homotopy and Cohomology in Algebraic Topology (18 papers) and Mathematical Dynamics and Fractals (13 papers). Allen Hatcher collaborates with scholars based in United States, United Kingdom and Netherlands. Allen Hatcher's 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 and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Allen Hatcher

38 papers receiving 3.2k citations

Hit Papers

align trajectories

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Allen Hatcher United States	21	2.2k	2.0k	1.1k	473	463	39	3.6k
D. B. A. Epstein United Kingdom	27	1.7k 0.8×	1.2k 0.6×	550 0.5×	365 0.8×	405 0.9×	84	2.9k
William S. Massey United States	24	1.3k 0.6×	1.1k 0.6×	603 0.6×	239 0.5×	430 0.9×	47	2.5k
André Haefliger Switzerland	23	2.9k 1.3×	2.0k 1.0×	994 0.9×	403 0.9×	1.0k 2.2×	46	3.8k
J. W. S. Cassels United Kingdom	25	2.0k 0.9×	1.4k 0.7×	976 0.9×	335 0.7×	571 1.2×	96	3.8k
C. T. C. Wall United Kingdom	36	3.6k 1.6×	2.9k 1.4×	712 0.7×	628 1.3×	682 1.5×	148	4.7k
Yitzhak Katznelson United States	21	796 0.4×	1.5k 0.8×	650 0.6×	411 0.9×	1.1k 2.4×	63	3.1k
W. O. J. Moser Canada	14	1.1k 0.5×	477 0.2×	582 0.5×	1.0k 2.1×	228 0.5×	32	2.5k
Joan S. Birman United States	28	3.3k 1.5×	2.5k 1.3×	650 0.6×	958 2.0×	195 0.4×	82	3.8k
C. A. Rogers United Kingdom	27	815 0.4×	695 0.3×	571 0.5×	346 0.7×	816 1.8×	114	2.4k
Andrew J. Sommese United States	31	1.6k 0.7×	838 0.4×	1.5k 1.4×	115 0.2×	370 0.8×	162	3.8k

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-authorship network of co-authors of Allen Hatcher

This figure shows the co-authorship network connecting the top 25 collaborators of Allen Hatcher. A scholar is included among the top collaborators of Allen Hatcher 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 Allen Hatcher. Allen Hatcher is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Hatcher, Allen. (2025). The Kirby torus trick for surfaces. 72(1). 161–174.

2.

Conant, James, Allen Hatcher, Martin Kassabov, & Karen Vogtmann. (2016). Assembling homology classes in automorphism groups of free groups. Commentarii Mathematici Helvetici. 91(4). 751–806. 14 indexed citations

3.

Brendle, Tara & Allen Hatcher. (2013). Configuration spaces of rings and wickets. Commentarii Mathematici Helvetici. 88(1). 131–162. 28 indexed citations

4.

Hatcher, Allen & Dan Margalit. (2012). Generating the Torelli group. 58(1). 165–188. 13 indexed citations

5.

Hatcher, Allen & Nathalie Wahl. (2010). Stabilization for mapping class groups of 3-manifolds. Duke Mathematical Journal. 155(2). 44 indexed citations

6.

Hatcher, Allen & Nathalie Wahl. (2005). Stabilization for the automorphisms of free groups with boundaries. Geometry & Topology. 9(3). 1295–1336. 14 indexed citations

7.

Hatcher, Allen. (2001). Algebraic topology. 2299 indexed citations breakdown →

8.

Hatcher, Allen. (1992). Some examples of essential laminations in 3-manifolds. Annales de l’institut Fourier. 42(1-2). 313–325. 14 indexed citations

9.

Hatcher, Allen & Ulrich Oertel. (1992). Affine lamination spaces for surfaces. Pacific Journal of Mathematics. 154(1). 87–101. 16 indexed citations

10.

Hatcher, Allen. (1991). On triangulations of surfaces. Topology and its Applications. 40(2). 189–194. 74 indexed citations

11.

Hatcher, Allen & Ulrich Oertel. (1989). Boundary slopes for Montesinos knots. Topology. 28(4). 453–480. 49 indexed citations

12.

Hatcher, Allen. (1988). Measured lamination spaces for surfaces, from the topological viewpoint. Topology and its Applications. 30(1). 63–88. 30 indexed citations

13.

Hatcher, Allen. (1983). A Proof of the Smale Conjecture, Diff(S 3 ) ≃O(4). Annals of Mathematics. 117(3). 553–553. 120 indexed citations

14.

Floyd, William & Allen Hatcher. (1982). Incompressible surfaces in punctured-torus bundles. Topology and its Applications. 13(3). 263–282. 64 indexed citations

15.

Hatcher, Allen. (1982). On the boundary curves of incompressible surfaces. Pacific Journal of Mathematics. 99(2). 373–377. 1 indexed citations

16.

Hatcher, Allen & William P. Thurston. (1980). A presentation for the mapping class group of a closed orientable surface. Topology. 19(3). 221–237. 148 indexed citations

17.

Hatcher, Allen. (1976). Homeomorphisms of sufficiently large P2-irreducible 3-manifolds. Topology. 15(4). 343–347. 55 indexed citations

18.

Hatcher, Allen & Frank Quinn. (1974). Bordism invariants of intersections of submanifolds. Transactions of the American Mathematical Society. 200. 327–327. 28 indexed citations

19.

Hatcher, Allen & J. B. Wagoner. (1973). Pseudo-isotopies of compact manifolds. French digital mathematics library (Numdam). 67 indexed citations

20.

Hatcher, Allen. (1973). Parametrized h -cobordism theory. Annales de l’institut Fourier. 23(2). 61–74. 4 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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