Eric M. Rains

10.3k total citations · 2 hit papers
101 papers, 5.3k citations indexed

About

Eric M. Rains is a scholar working on Mathematical Physics, Geometry and Topology and Artificial Intelligence. According to data from OpenAlex, Eric M. Rains has authored 101 papers receiving a total of 5.3k indexed citations (citations by other indexed papers that have themselves been cited), including 43 papers in Mathematical Physics, 35 papers in Geometry and Topology and 35 papers in Artificial Intelligence. Recurrent topics in Eric M. Rains's work include Advanced Algebra and Geometry (29 papers), Algebraic structures and combinatorial models (22 papers) and Advanced Combinatorial Mathematics (22 papers). Eric M. Rains is often cited by papers focused on Advanced Algebra and Geometry (29 papers), Algebraic structures and combinatorial models (22 papers) and Advanced Combinatorial Mathematics (22 papers). Eric M. Rains collaborates with scholars based in United States, Australia and Germany. Eric M. Rains's co-authors include N. J. A. Sloane, A.R. Calderbank, Peter W. Shor, Jinho Baik, Charles H. Bennett, Tal Mor, William K. Wootters, David P. DiVincenzo, Christopher A. Fuchs and John A. Smolin and has published in prestigious journals such as Physical Review Letters, IEEE Transactions on Information Theory and Physical Review A.

In The Last Decade

Eric M. Rains

94 papers receiving 5.0k citations

Hit Papers

Quantum error correction via codes over GF(4) 1998 2026 2007 2016 1998 1999 250 500 750 1000
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Quantum error correction via codes over GF(4)
    1998 1.1k citations Eric M. Rains, N. J. A. Sloane et al. profile →
  2. Quantum nonlocality without entanglement
    1999 724 citations Eric M. Rains et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Eric M. Rains United States 32 3.9k 1.7k 1.6k 817 693 101 5.3k
Karol Życzkowski Poland 41 6.0k 1.5× 6.4k 3.7× 599 0.4× 550 0.7× 479 0.7× 213 9.2k
Peter Winkler United States 30 546 0.1× 626 0.4× 1.3k 0.8× 408 0.5× 371 0.5× 185 3.3k
Dėnes Petz Hungary 23 2.0k 0.5× 2.0k 1.2× 358 0.2× 589 0.7× 568 0.8× 75 3.7k
Fumio Hiai Japan 28 665 0.2× 547 0.3× 763 0.5× 871 1.1× 862 1.2× 105 3.1k
K. R. Parthasarathy India 22 1.5k 0.4× 1.4k 0.8× 446 0.3× 1.6k 1.9× 778 1.1× 75 4.3k
Shmuel Friedland United States 30 366 0.1× 439 0.3× 1.7k 1.0× 641 0.8× 168 0.2× 198 3.5k
W. J. Thron United States 22 585 0.1× 346 0.2× 1.5k 0.9× 1.1k 1.4× 208 0.3× 87 4.7k
George E. Andrews United States 43 515 0.1× 476 0.3× 911 0.6× 1.4k 1.7× 448 0.6× 331 10.6k
Jean Bourgain United States 62 865 0.2× 542 0.3× 2.2k 1.4× 8.7k 10.6× 723 1.0× 339 14.0k
Harold Widom United States 34 373 0.1× 448 0.3× 673 0.4× 2.3k 2.8× 2.1k 3.1× 124 4.6k

Countries citing papers authored by Eric M. Rains

Since Specialization
Citations

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

Fields of papers citing papers by Eric M. Rains

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Eric M. Rains. 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 Eric M. Rains. The network helps show where Eric M. Rains may publish in the future.

Co-authorship network of co-authors of Eric M. Rains

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

All Works

20 of 20 papers shown
1.
Etingof, Pavel & Eric M. Rains. (2025). Bounds for asymptotic characters of simple Lie groups. Indagationes Mathematicae. 36(6). 1572–1591.
2.
Ismail, Mourad E. H., Eric M. Rains, & Dennis Stanton. (2024). Orthogonality of very well-poised series. Indagationes Mathematicae. 36(6). 1493–1512.
3.
Etingof, Pavel, et al.. (2021). Twisted Traces and Positive Forms on Quantized Kleinian Singularities of Type A. Symmetry Integrability and Geometry Methods and Applications. 1 indexed citations
4.
Lee, Chulhee, Eric M. Rains, & S. Ole Warnaar. (2020). An Elliptic Hypergeometric Function Approach to Branching Rules. Symmetry Integrability and Geometry Methods and Applications. 3 indexed citations
5.
Rains, Eric M.. (2020). Elliptic Double Affine Hecke Algebras. Symmetry Integrability and Geometry Methods and Applications. 3 indexed citations
6.
Rains, Eric M.. (2018). Multivariate Quadratic Transformations and the Interpolation Kernel. Symmetry Integrability and Geometry Methods and Applications. 9 indexed citations
7.
Rains, Eric M., et al.. (2014). Limits of elliptic hypergeometric biorthogonal functions. Journal of Approximation Theory. 193. 128–163. 5 indexed citations
8.
Rains, Eric M.. (2012). Elliptic Littlewood identities. Journal of Combinatorial Theory Series A. 119(7). 1558–1609. 6 indexed citations
9.
Rains, Eric M.. (2008). An isomonodromy interpretation of the elliptic Painlev\'e equation. I. arXiv (Cornell University). 2 indexed citations
10.
Nebe, Gabriele, et al.. (2008). CLIFFORD-WEIL GROUPS OF QUOTIENT REPRESENTATIONS.. 2(3).
11.
Etingof, Pavel, et al.. (2007). On central extensions of preprojective algebras. Journal of Algebra. 313(1). 165–175. 2 indexed citations
12.
Etingof, Pavel, Alexei Oblomkov, & Eric M. Rains. (2007). Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces. Advances in Mathematics. 212(2). 749–796. 21 indexed citations
13.
Draper, Thomas G., Samuel Kutin, Eric M. Rains, & Krysta M. Svore. (2006). A logarithmic-depth quantum carry-lookahead adder. Quantum Information and Computation. 6(4). 351–369. 93 indexed citations
14.
Nebe, Gabriele, Eric M. Rains, & N. J. A. Sloane. (2006). Self-Dual Codes and Invariant Theory (Algorithms and Computation in Mathematics). Springer eBooks. 29 indexed citations
15.
Heninger, Nadia, Eric M. Rains, & N. J. A. Sloane. (2006). On the integrality of nth roots of generating functions. Journal of Combinatorial Theory Series A. 113(8). 1732–1745. 9 indexed citations
16.
Bartholdi, Laurent, Benjamin Enriquez, Pavel Etingof, & Eric M. Rains. (2006). Groups and Lie algebras corresponding to the Yang–Baxter equations. Journal of Algebra. 305(2). 742–764. 17 indexed citations
17.
Nebe, Gabriele, et al.. (2004). Complete weight enumerators of generalized doubly-even self-dual codes. Finite Fields and Their Applications. 10(4). 540–550. 6 indexed citations
18.
Rains, Eric M.. (2001). Class Groups and Modular Lattices. Journal of Number Theory. 88(2). 211–224.
19.
Rains, Eric M.. (1999). Optimal self-dual codes over Z4. Discrete Mathematics. 203(1-3). 215–228. 29 indexed citations
20.
Rains, Eric M. & N. J. A. Sloane. (1998). The Shadow Theory of Modular and Unimodular Lattices. Journal of Number Theory. 73(2). 359–389. 52 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Karol Życzkowski Breakdown of academic impact, for papers by Peter Winkler Breakdown of academic impact, for papers by Dėnes Petz Breakdown of academic impact, for papers by Fumio Hiai Breakdown of academic impact, for papers by K. R. Parthasarathy Breakdown of academic impact, for papers by Shmuel Friedland Breakdown of academic impact, for papers by W. J. Thron Breakdown of academic impact, for papers by George E. Andrews Breakdown of academic impact, for papers by Jean Bourgain Breakdown of academic impact, for papers by Harold Widom
Rankless by CCL
2026