A. H. Lachlan

2.8k total citations
75 papers, 1.6k citations indexed

About

A. H. Lachlan is a scholar working on Computational Theory and Mathematics, Geometry and Topology and Artificial Intelligence. According to data from OpenAlex, A. H. Lachlan has authored 75 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 61 papers in Computational Theory and Mathematics, 39 papers in Geometry and Topology and 17 papers in Artificial Intelligence. Recurrent topics in A. H. Lachlan's work include Advanced Topology and Set Theory (36 papers), Computability, Logic, AI Algorithms (34 papers) and Advanced Algebra and Logic (23 papers). A. H. Lachlan is often cited by papers focused on Advanced Topology and Set Theory (36 papers), Computability, Logic, AI Algorithms (34 papers) and Advanced Algebra and Logic (23 papers). A. H. Lachlan collaborates with scholars based in Canada, United States and United Kingdom. A. H. Lachlan's co-authors include John T. Baldwin, Robert Woodrow, Robert I. Soare, Henryk Kotlarski, Stanisław Krajewski, Richard A. Shore, Gregory Cherlin, Leo Harrington, Steffen Lempp and Saharon Shelah and has published in prestigious journals such as Annals of Mathematics, Lecture notes in mathematics and Transactions of the American Mathematical Society.

In The Last Decade

A. H. Lachlan

72 papers receiving 1.2k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
A. H. Lachlan Canada	25	1.2k	818	381	232	217	75	1.6k
Robert M Solovay United States	13	1.1k 0.9×	671 0.8×	616 1.6×	107 0.5×	365 1.7×	28	1.5k
Carl G. Jockusch United States	21	1.5k 1.2×	720 0.9×	406 1.1×	80 0.3×	158 0.7×	79	1.6k
Donald A. Martin United States	18	955 0.8×	798 1.0×	293 0.8×	65 0.3×	353 1.6×	38	1.4k
John T. Baldwin United States	17	548 0.4×	636 0.8×	169 0.4×	134 0.6×	311 1.4×	111	1.0k
Yiannis N. Moschovakis United States	18	747 0.6×	360 0.4×	439 1.2×	36 0.2×	169 0.8×	53	994
Gerald E. Sacks United States	18	1.1k 0.9×	551 0.7×	474 1.2×	20 0.1×	173 0.8×	47	1.3k
James H. Schmerl United States	14	487 0.4×	417 0.5×	94 0.2×	142 0.6×	183 0.8×	108	733
Robert L. Vaught United States	16	433 0.3×	314 0.4×	243 0.6×	61 0.3×	177 0.8×	27	815
Dugald Macpherson United Kingdom	18	527 0.4×	763 0.9×	131 0.3×	278 1.2×	374 1.7×	81	1.0k
Fred Galvin United States	14	487 0.4×	492 0.6×	46 0.1×	226 1.0×	241 1.1×	56	806

Countries citing papers authored by A. H. Lachlan

Since Specialization

Citations

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

Fields of papers citing papers by A. H. Lachlan

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A. H. Lachlan. 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 A. H. Lachlan. The network helps show where A. H. Lachlan may publish in the future.

Co-authorship network of co-authors of A. H. Lachlan

This figure shows the co-authorship network connecting the top 25 collaborators of A. H. Lachlan. A scholar is included among the top collaborators of A. H. Lachlan 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 A. H. Lachlan. A. H. Lachlan 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

Ambos‐Spies, Klaus, A. H. Lachlan, & Robert I. Soare. (1993). The continuity of cupping to 0'. Annals of Pure and Applied Logic. 64(3). 195–209. 8 indexed citations

Cooper, S. Barry, Leo Harrington, A. H. Lachlan, Steffen Lempp, & Robert I. Soare. (1991). The d.r.e. degrees are not dense. Annals of Pure and Applied Logic. 55(2). 125–151. 37 indexed citations

Lachlan, A. H.. (1990). Complete coinductive theories. I. Transactions of the American Mathematical Society. 319(1). 209–241. 5 indexed citations

Lachlan, A. H.. (1990). Complete Coinductive Theories. I. Transactions of the American Mathematical Society. 319(1). 209–209. 1 indexed citations

Lachlan, A. H.. (1987). Structures coordinatized by indiscernible sets. Annals of Pure and Applied Logic. 34(3). 245–273. 8 indexed citations

Cherlin, Gregory & A. H. Lachlan. (1986). Stable finitely homogeneous structures. Transactions of the American Mathematical Society. 296(2). 815–850. 21 indexed citations

Cherlin, Gregory, Leo Harrington, & A. H. Lachlan. (1985). ℵ0-Categorical, ℵ0-stable structures. Annals of Pure and Applied Logic. 28(2). 103–135. 3 indexed citations

Lachlan, A. H.. (1984). Countable Homogeneous Tournaments. Transactions of the American Mathematical Society. 284(2). 431–431. 12 indexed citations

Lachlan, A. H.. (1984). Countable homogeneous tournaments. Transactions of the American Mathematical Society. 284(2). 431–461. 55 indexed citations

10.

Lachlan, A. H.. (1980). Decomposition of recursively enumerable degrees. Proceedings of the American Mathematical Society. 79(4). 629–634. 24 indexed citations

11.

Lachlan, A. H. & Robert Woodrow. (1980). Countable ultrahomogeneous undirected graphs. Transactions of the American Mathematical Society. 262(1). 51–94. 120 indexed citations

12.

Lachlan, A. H. & Robert Woodrow. (1980). Countable Ultrahomogeneous Undirected Graphs. Transactions of the American Mathematical Society. 262(1). 51–51. 23 indexed citations

13.

Lachlan, A. H. & Robert I. Soare. (1980). Not every finite lattice is embeddable in the recursively enumerable degrees. Advances in Mathematics. 37(1). 74–82. 24 indexed citations

14.

Lachlan, A. H., et al.. (1977). Set theory and hierarchy theory V : Bierutowice, Poland, 1976. Springer eBooks. 4 indexed citations

15.

Lachlan, A. H.. (1976). A recursively enumerable degree which will not split over all lesser ones. Annals of Mathematical Logic. 9(4). 307–365. 59 indexed citations

16.

Lachlan, A. H.. (1971). Solution to a Problem of Spector. Canadian Journal of Mathematics. 23(2). 247–256. 11 indexed citations

17.

Lachlan, A. H.. (1968). On the lattice of recursively enumerable sets. Transactions of the American Mathematical Society. 130(1). 1–37. 101 indexed citations

18.

Lachlan, A. H.. (1968). The elementary theory of recursively enumerable sets. Duke Mathematical Journal. 35(1). 34 indexed citations

19.

Lachlan, A. H.. (1965). On a problem of G. E. Sacks. Proceedings of the American Mathematical Society. 16(5). 972–979. 5 indexed citations

20.

Lachlan, A. H.. (1965). Effective inseparability for sequences of sets. Proceedings of the American Mathematical Society. 16(4). 647–653. 2 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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