1.1k citations · 3.7k across the 98 of their papers we have counts for
101 papers
Elliptic Selberg integrals
Seamus P. Albion, Eric M. Rains, S. Ole Warnaar
We use the elliptic interpolation kernel due to the second author to prove an extension of the elliptic Selberg integral. More generally, we obtain elliptic analogue…
Quotients of abelian varieties by reflection groups
Eric M. Rains
We prove (by a case-by-case analysis) a conjecture of Bernstein/Schwarzman to the effect that quotients of abelian varieties by suitable actions of (complex) reflection groups are…
Filtered deformations of elliptic algebras
Eric M. Rains
One of the difficulties in doing noncommutative projective geometry via explicitly presented graded algebras is that it is usually quite difficult to show flatness, as the Hilbert…
Twisted Traces and Positive Forms on Quantized Kleinian Singularities of Type A
Pavel Etingof, Daniil Klyuev, Eric Rains +1
Following [Beem C., Peelaers W., Rastelli L., Comm. Math. Phys. 354 (2017), 345-392, arXiv:1601.05378] and [Etingof P., Stryker D., SIGMA 16 (2020), 014, 28 pages, arXiv:1909.13588…
An Elliptic Hypergeometric Function Approach to Branching Rules
Chul-hee Lee, Eric M. Rains, S. Ole Warnaar
We prove Macdonald-type deformations of a number of well-known classical branching rules by employing identities for elliptic hypergeometric integrals and series. We also propose s…
The geometric distribution of Selmer groups of elliptic curves over function fields
Tony Feng, Aaron Landesman, Eric M. Rains
Fix a positive integer and a finite field . We study the joint distribution of the rank of , the -Selmer group of , and the -torsion in the Tate-Shafar…