Eric M. Rains

Algebra and Number Theory · 2000–2013

A researcher in the Science corpus: 14 papers; trusts 20 researchers and is trusted by 45 researchers here, as inferred from the citation graph.

Subfields

• Algebra and Number Theory — 41 citations into it; #386 of 2,864 by trust here, #397 by citations
• Geometry and Topology — 36 citations into it; #713 of 7,422 by trust here, #1,249 by citations
• Mathematical Physics — 28 citations into it; #724 of 8,562 by trust here, #1,020 by citations
• Applied Mathematics — 27 citations into it; #1,048 of 7,620 by trust here, #2,192 by citations
• Discrete Mathematics and Combinatorics — 17 citations into it; #1,803 of 2,017 by trust here, #604 by citations
• Computational Theory and Mathematics — 10 citations into it; #2,498 of 12,182 by trust here, #7,142 by citations
• Statistical and Nonlinear Physics — 10 citations into it; #3,580 of 10,127 by trust here, #7,024 by citations
• Atomic and Molecular Physics, and Optics — 6 citations into it; #1,382 of 7,135 by trust here, #4,892 by citations

Whom Eric M. Rains trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Hjalmar Rosengren
2. V. Spiridonov
3. S. Ole Warnaar
4. Peter J. Forrester
5. Giovanni Felder
6. J. F. van Diejen
7. Yasushi Kajihara
8. Jasper V. Stokman
9. Nicholas S. Witte
10. N. Jones

Who trusts Eric M. Rains overall

1. V. Spiridonov
2. Alexei Borodin
3. Gérard Ben Arous
4. F. Dolan
5. Ingemar Bengtsson
6. G. Vartanov
7. Cyril Closset
8. Abhijit Gadde
9. K. Johansson
10. S. P'ech'e

Papers from Eric M. Rains's perspective

Ordered by how strongly the researchers Eric M. Rains trusts endorse each paper. Same corpus, a different order for every researcher.

1. Elliptic hypergeometric series on root systems
2. Elliptic Selberg integrals
3. Summation and transformation formulas for elliptic hypergeometric series
4. Rational Surfaces Associated with Affine Root Systems¶and Geometry of the Painlevé Equations
5. On the elliptic beta function
6. Theta hypergeometric integrals
7. Multiple elliptic hypergeometric series. An approach from the Cauchy determinant
8. An Elliptic Macdonald-Morris Conjecture and Multiple Modular Hypergeometric Sums
9. A proof of a multivariable elliptic summation formula conjectured by Warnaar
10. Double Affine Hecke Algebras

Their papers

• Limiting Distributions for a Polynuclear Growth Model with External Sources (2000) — 285 citations
• Transformations of elliptic hypergeometric integrals (2010) — 203 citations
• Eynard–Mehta Theorem, Schur Process, and their Pfaffian Analogs (2004) — 292 citations
• Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves (2013) — 93 citations
• Random maximal isotropic subspaces and Selmer groups (2010) — 118 citations
• Groups and Lie algebras corresponding to the Yang–Baxter equations (2005) — 50 citations
• The cohomology ring of the real locus of the moduli space of stable curves of genus 0 with marked points (2005) — 116 citations
• Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces (2004) — 56 citations
• A logarithmic-depth quantum carry-lookahead adder (2004) — 328 citations
• $BC_n$-symmetric abelian functions (2004) — 108 citations
• Transformations of elliptic hypergometric integrals (2003) — 47 citations
• BCn-symmetric polynomials (2001) — 84 citations
• Correlation functions for symmetrized increasing subsequences (2000) — 115 citations
• A semidefinite program for distillable entanglement (2000) — 325 citations