Igor Rivin

2.5k total citations
58 papers, 1.1k citations indexed

About

Igor Rivin is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Igor Rivin has authored 58 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 31 papers in Geometry and Topology, 19 papers in Mathematical Physics and 13 papers in Computational Theory and Mathematics. Recurrent topics in Igor Rivin's work include Geometric and Algebraic Topology (18 papers), Mathematical Dynamics and Fractals (10 papers) and Computational Geometry and Mesh Generation (9 papers). Igor Rivin is often cited by papers focused on Geometric and Algebraic Topology (18 papers), Mathematical Dynamics and Fractals (10 papers) and Computational Geometry and Mesh Generation (9 papers). Igor Rivin collaborates with scholars based in United States, United Kingdom and France. Igor Rivin's co-authors include M.M.J. Treacy, Martin D. Foster, Olaf Delgado Friedrichs, Craig D. Hodgson, Keith H. Randall, Greg McShane, Daryl Cooper, Ramin Zabih, Warren D. Smith and Vitaliy Kapko and has published in prestigious journals such as Physical Review Letters, Mathematics of Computation and Journal of Applied Crystallography.

In The Last Decade

Igor Rivin

50 papers receiving 1.0k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Igor Rivin United States	17	452	309	268	245	212	58	1.1k
Norman W. Johnson United States	10	162 0.4×	54 0.2×	111 0.4×	73 0.3×	47 0.2×	16	552
Michael Albert New Zealand	21	112 0.2×	26 0.1×	147 0.5×	85 0.3×	37 0.2×	83	1.2k
Egon Schulte United States	17	508 1.1×	15 0.0×	133 0.5×	95 0.4×	45 0.2×	73	1.0k
Kenji Matsuki Japan	20	598 1.3×	45 0.1×	427 1.6×	361 1.5×	78 0.4×	94	1.5k
Daniel Lenz Germany	19	236 0.5×	8 0.0×	374 1.4×	655 2.7×	175 0.8×	72	996
Jianlong Chen China	22	465 1.0×	46 0.1×	24 0.1×	111 0.5×	184 0.9×	129	1.5k
Richard Ehrenborg United States	16	420 0.9×	5 0.0×	28 0.1×	150 0.6×	122 0.6×	84	909
Manjul Bhargava United States	18	501 1.1×	14 0.0×	44 0.2×	340 1.4×	48 0.2×	51	833
Óscar Rojo Chile	16	624 1.4×	19 0.1×	45 0.2×	44 0.2×	42 0.2×	87	884
Heinz Spindler Germany	10	817 1.8×	17 0.1×	75 0.3×	537 2.2×	106 0.5×	33	1.1k

Countries citing papers authored by Igor Rivin

Since Specialization

Citations

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

Fields of papers citing papers by Igor Rivin

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Igor Rivin

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

Rivin, Igor, et al.. (2025). DiRe - JAX: A JAX based Dimensionality Reduction Algorithm for Large-scale Data. The Journal of Open Source Software. 10(110). 8264–8264. 1 indexed citations

Bassino, Frédérique, Ilya Kapovich, Markus Lohrey, et al.. (2020). Complexity and Randomness in Group Theory. HAL (Le Centre pour la Communication Scientifique Directe). 6 indexed citations

Rivin, Igor, et al.. (2018). An Investable Crypto-Currency Index. SSRN Electronic Journal.

Rivin, Igor, et al.. (2017). Quantum Chaos on Random Cayley Graphs of SL 2[Z/pZ]. Experimental Mathematics. 28(3). 328–341. 3 indexed citations

Rivin, Igor, et al.. (2016). Generic Thinness in Finitely Generated Subgroups of SL$_n(\mathbb Z)$. International Mathematics Research Notices. rnw136–rnw136. 2 indexed citations

Pemantle, Robin, Yuval Peres, & Igor Rivin. (2015). Four random permutations conjugated by an adversary generate S_n with high probability. Random Structures and Algorithms. 49(3). 409–428. 10 indexed citations

Rivin, Igor. (2012). Geodesics with one self-intersection, and other stories. Advances in Mathematics. 231(5). 2391–2412. 16 indexed citations

Kapko, Vitaliy, et al.. (2011). Density of Mechanisms within the Flexibility Window of Zeolites. Physical Review Letters. 107(16). 164304–164304. 22 indexed citations

Rivin, Igor. (2010). Growth in free groups (and other stories)—twelve years later. Illinois Journal of Mathematics. 54(1). 14 indexed citations

10.

Rivin, Igor. (2008). Asymptotics of convex sets in Euclidean and hyperbolic spaces. Advances in Mathematics. 220(4). 1297–1315.

11.

Kapovich, Ilya, Igor Rivin, Paul E. Schupp, & Vladimir Shpilrain. (2007). Densities in free groups and $\mathbb{Z}^k$, Visible Points and Test Elements. Mathematical Research Letters. 14(2). 263–284. 8 indexed citations

12.

Rivin, Igor. (2004). Symmetrized Chebyshev polynomials. Proceedings of the American Mathematical Society. 133(5). 1299–1305. 3 indexed citations

13.

Rivin, Igor. (2003). Combinatorial optimization in geometry. Advances in Applied Mathematics. 31(1). 242–271. 31 indexed citations

14.

Rivin, Igor. (2002). A multidimensional Theorem of Sines. arXiv (Cornell University). 1 indexed citations

15.

Rivin, Igor. (2002). Counting cycles and finite dimensional L norms. Advances in Applied Mathematics. 29(4). 647–662. 9 indexed citations

16.

Rivin, Igor. (1999). Simple cycles. arXiv (Cornell University). 1 indexed citations

17.

McShane, Greg & Igor Rivin. (1995). . International Mathematics Research Notices. 1995(2). 61–61. 21 indexed citations

18.

Rivin, Igor, et al.. (1994). The n -Queens Problem. American Mathematical Monthly. 101(7). 629–639. 36 indexed citations

19.

Rivin, Igor, et al.. (1994). The n-Queens Problem. American Mathematical Monthly. 101(7). 629–629. 13 indexed citations

20.

Hodgson, Craig D., Igor Rivin, & Warren D. Smith. (1992). A characterization of convex hyperbolic polyhedra and of convex polyhedra inscribed in the sphere. Bulletin of the American Mathematical Society. 27(2). 246–251. 30 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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