Richard Randell

813 total citations
21 papers, 342 citations indexed

About

Richard Randell is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Richard Randell has authored 21 papers receiving a total of 342 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Geometry and Topology, 11 papers in Mathematical Physics and 8 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Richard Randell's work include Advanced Combinatorial Mathematics (8 papers), Algebraic Geometry and Number Theory (7 papers) and Geometric and Algebraic Topology (7 papers). Richard Randell is often cited by papers focused on Advanced Combinatorial Mathematics (8 papers), Algebraic Geometry and Number Theory (7 papers) and Geometric and Algebraic Topology (7 papers). Richard Randell collaborates with scholars based in United States. Richard Randell's co-authors include Michael Falk and Peter Orlik and has published in prestigious journals such as Inventiones mathematicae, Pacific Journal of Mathematics and Bulletin of the American Mathematical Society.

In The Last Decade

Richard Randell

18 papers receiving 263 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Richard Randell United States	11	252	206	146	90	38	21	342
Ralph Strebel Germany	12	485 1.9×	198 1.0×	377 2.6×	100 1.1×	97 2.6×	29	559
Walter Parry United States	10	217 0.9×	68 0.3×	161 1.1×	37 0.4×	86 2.3×	38	281
Robert Oliver Denmark	9	269 1.1×	129 0.6×	264 1.8×	89 1.0×	45 1.2×	31	395
Michael Falk United States	12	289 1.1×	291 1.4×	168 1.2×	133 1.5×	42 1.1×	21	393
Masahiko Yoshinaga Japan	10	176 0.7×	211 1.0×	77 0.5×	96 1.1×	53 1.4×	38	274
Luis Paris France	13	551 2.2×	180 0.9×	443 3.0×	48 0.5×	146 3.8×	52	606
David Joyce United States	4	409 1.6×	154 0.7×	264 1.8×	65 0.7×	131 3.4×	6	443
Ron M. Adin Israel	10	131 0.5×	279 1.4×	116 0.8×	198 2.2×	44 1.2×	36	314
Sergei Chmutov United States	10	297 1.2×	204 1.0×	163 1.1×	18 0.2×	91 2.4×	24	351
Elmar Vogt Germany	8	302 1.2×	51 0.2×	221 1.5×	26 0.3×	54 1.4×	17	360

Countries citing papers authored by Richard Randell

Since Specialization

Citations

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

Fields of papers citing papers by Richard Randell

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Richard Randell

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

All Works

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20 of 20 papers shown

Falk, Michael & Richard Randell. (2018). On the homotopy theory of arrangements, II. Advanced studies in pure mathematics. 93–125. 1 indexed citations

Falk, Michael & Richard Randell. (2018). On the Homotopy Theory of Arrangements. Advanced studies in pure mathematics. 101–124. 4 indexed citations

Randell, Richard. (2002). Morse theory, Milnor fibers and minimality of hyperplane arrangements. Proceedings of the American Mathematical Society. 130(9). 2737–2743. 21 indexed citations

Randell, Richard. (1998). Invariants of piecewise-linear knots. Banach Center Publications. 42(1). 307–319. 9 indexed citations

Randell, Richard. (1997). Milnor fibrations of lattice-isotopic arrangements. Proceedings of the American Mathematical Society. 125(10). 3003–3009. 4 indexed citations

Randell, Richard. (1997). Homotopy and group cohomology of arrangements. Topology and its Applications. 78(3). 201–213. 8 indexed citations

Randell, Richard. (1994). AN ELEMENTARY INVARIANT OF KNOTS. Journal of Knot Theory and Its Ramifications. 3(3). 279–286. 16 indexed citations

Orlik, Peter & Richard Randell. (1993). The Milnor fiber of a generic arrangement. Arkiv för matematik. 31(1). 71–81. 10 indexed citations

Randell, Richard. (1989). Lattice-Isotopic Arrangements are Topologically Isomorphic. Proceedings of the American Mathematical Society. 107(2). 555–555. 14 indexed citations

10.

Randell, Richard. (1989). Lattice-isotopic arrangements are topologically isomorphic. Proceedings of the American Mathematical Society. 107(2). 555–559. 32 indexed citations

11.

Falk, Michael & Richard Randell. (1985). The lower central series of a fiber-type arrangement. Inventiones mathematicae. 82(1). 77–88. 105 indexed citations

12.

Randell, Richard. (1982). The fundamental group of the complement of a union of complex hyperplanes. Inventiones mathematicae. 69(1). 103–108. 37 indexed citations

13.

Randell, Richard. (1980). ON THE FUNDAMENTAL GROUP OF THE COMPLEMENT OF A SINGULAR PLANE CURVE. The Quarterly Journal of Mathematics. 31(1). 71–79. 1 indexed citations

14.

Randell, Richard. (1978). Quotients of complete intersections byC^∗actions. Pacific Journal of Mathematics. 74(1). 209–219. 29 indexed citations

15.

Randell, Richard. (1978). The Milnor number of some isolated complete intersection singularities with 𝐶*-action. Proceedings of the American Mathematical Society. 72(2). 375–380. 2 indexed citations

16.

Randell, Richard. (1978). The Milnor Number of Some Isolated Complete Intersection Singularities with C ∗ -Action. Proceedings of the American Mathematical Society. 72(2). 375–375. 1 indexed citations

17.

Orlik, Peter & Richard Randell. (1977). The monodromy of weighted homogeneous singularities. Inventiones mathematicae. 39(3). 199–211. 12 indexed citations

18.

Randell, Richard. (1975). The homology of generalized Brieskorn manifolds. Topology. 14(4). 347–355. 17 indexed citations

19.

Randell, Richard. (1975). Index invariants of orbit spaces.. MATHEMATICA SCANDINAVICA. 36. 263–263. 3 indexed citations

20.

Randell, Richard. (1974). Generalized Brieskorn manifolds. Bulletin of the American Mathematical Society. 80(1). 111–115. 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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