Xiao-Song Lin

1.4k total citations
38 papers, 719 citations indexed

About

Xiao-Song Lin is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Xiao-Song Lin has authored 38 papers receiving a total of 719 indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Geometry and Topology, 28 papers in Mathematical Physics and 16 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Xiao-Song Lin's work include Geometric and Algebraic Topology (32 papers), Homotopy and Cohomology in Algebraic Topology (24 papers) and Advanced Combinatorial Mathematics (16 papers). Xiao-Song Lin is often cited by papers focused on Geometric and Algebraic Topology (32 papers), Homotopy and Cohomology in Algebraic Topology (24 papers) and Advanced Combinatorial Mathematics (16 papers). Xiao-Song Lin collaborates with scholars based in United States, China and France. Xiao-Song Lin's co-authors include Joan S. Birman, Nathan Habegger, Oliver T. Dasbach, Hao Zheng, Zhenghan Wang, Efstratia Kalfagianni, David Futer, Neal W. Stoltzfus, Jianjun Paul Tian and Michael Freedman and has published in prestigious journals such as Communications in Mathematical Physics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Xiao-Song Lin

35 papers receiving 643 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Xiao-Song Lin United States	12	668	506	290	125	35	38	719
Peter Teichner United States	14	604 0.9×	559 1.1×	131 0.5×	109 0.9×	35 1.0×	48	648
H. R. Morton United Kingdom	16	803 1.2×	508 1.0×	406 1.4×	189 1.5×	50 1.4×	49	869
D. Cooper United States	10	476 0.7×	361 0.7×	170 0.6×	91 0.7×	30 0.9×	23	505
Józef H. Przytycki United States	18	823 1.2×	612 1.2×	327 1.1×	167 1.3×	54 1.5×	92	912
Paul Kirk United States	13	522 0.8×	501 1.0×	130 0.4×	98 0.8×	15 0.4×	43	631
Alan W. Reid United States	18	1.1k 1.6×	859 1.7×	308 1.1×	148 1.2×	41 1.2×	89	1.1k
Andrew Casson United States	8	647 1.0×	546 1.1×	138 0.5×	97 0.8×	36 1.0×	10	698
Steven A. Bleiler United States	11	481 0.7×	391 0.8×	115 0.4×	108 0.9×	50 1.4×	22	535
Paul Melvin United States	11	420 0.6×	345 0.7×	150 0.5×	39 0.3×	10 0.3×	29	476
Dan Margalit United States	12	779 1.2×	626 1.2×	177 0.6×	149 1.2×	7 0.2×	36	851

Countries citing papers authored by Xiao-Song Lin

Since Specialization

Citations

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

Fields of papers citing papers by Xiao-Song Lin

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Xiao-Song Lin. 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 Xiao-Song Lin. The network helps show where Xiao-Song Lin may publish in the future.

Co-authorship network of co-authors of Xiao-Song Lin

This figure shows the co-authorship network connecting the top 25 collaborators of Xiao-Song Lin. A scholar is included among the top collaborators of Xiao-Song Lin 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 Xiao-Song Lin. Xiao-Song Lin 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

Lin, Xiao-Song & Hao Zheng. (2009). On the Hecke algebras and the colored HOMFLY polynomial. Transactions of the American Mathematical Society. 362(1). 1–18. 58 indexed citations

Dasbach, Oliver T., David Futer, Efstratia Kalfagianni, Xiao-Song Lin, & Neal W. Stoltzfus. (2007). The Jones polynomial and graphs on surfaces. Journal of Combinatorial Theory Series B. 98(2). 384–399. 52 indexed citations

Kalfagianni, Efstratia & Xiao-Song Lin. (2007). SEIFERT SURFACES, COMMUTATORS AND VASSILIEV INVARIANTS. Journal of Knot Theory and Its Ramifications. 16(10). 1295–1329. 2 indexed citations

Dasbach, Oliver T., David Futer, Efstratia Kalfagianni, Xiao-Song Lin, & Neal W. Stoltzfus. (2006). The Jones polynomial and dessins d'enfant. arXiv (Cornell University). 7 indexed citations

Lin, Xiao-Song, et al.. (2006). ON n-PUNCTURED BALL TANGLES. Journal of Knot Theory and Its Ramifications. 15(6). 715–748. 2 indexed citations

Tian, Jianjun Paul & Xiao-Song Lin. (2006). Continuous Time Markov Processes on Graphs. Stochastic Analysis and Applications. 24(5). 953–972. 3 indexed citations

Tian, Jianjun Paul & Xiao-Song Lin. (2005). Colored coalescent theory. 2005. 833. 4 indexed citations

Tian, Jianjun Paul & Xiao-Song Lin. (2004). Colored Genealogical Trees and Coalescent Theory. arXiv (Cornell University). 1 indexed citations

Kalfagianni, Efstratia & Xiao-Song Lin. (2004). Higher degree knot adjacency as obstruction to fibering. arXiv (Cornell University). 1 indexed citations

10.

Lin, Xiao-Song, et al.. (2003). Vassiliev invariants and the cubical knot complex. Topology. 42(1). 83–101. 3 indexed citations

11.

Lin, Xiao-Song, et al.. (2001). Off-Center Reflections: Caustics and Chaos. Experimental Mathematics. 10(2). 287–301. 1 indexed citations

12.

Benham, Craig J., Xiao-Song Lin, & D. W. Miller. (2001). Subspaces of knot spaces. Proceedings of the American Mathematical Society. 129(10). 3121–3127. 1 indexed citations

13.

Gilman, Jane, et al.. (2001). Knots, Braids, and Mapping Class Groups—Papers Dedicated to Joan S. Birman. 6 indexed citations

14.

Lin, Xiao-Song & Zhenghan Wang. (1999). On ohtsuki’s invariants of integral homology 3-spheres. Acta Mathematica Sinica English Series. 15(3). 293–316. 7 indexed citations

15.

Lin, Xiao-Song. (1998). Knot energies and knot invariants. Chaos Solitons & Fractals. 9(4-5). 645–655. 4 indexed citations

16.

Lin, Xiao-Song & Zhenghan Wang. (1996). Integral geometry of plane curves and knot invariants. Journal of Differential Geometry. 44(1). 23 indexed citations

17.

Lin, Xiao-Song. (1992). A knot invariant via representation spaces. Journal of Differential Geometry. 35(2). 33 indexed citations

18.

Habegger, Nathan & Xiao-Song Lin. (1990). The Classification of Links up to Link-Homotopy. Journal of the American Mathematical Society. 3(2). 389–389. 31 indexed citations

19.

Habegger, Nathan & Xiao-Song Lin. (1990). The classification of links up to link-homotopy. Journal of the American Mathematical Society. 3(2). 389–419. 91 indexed citations

20.

Freedman, Michael & Xiao-Song Lin. (1989). On the (A,B)-slice problem. Topology. 28(1). 91–110. 11 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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