Etingof, P.; Kalinov, D. et al. (2022) New realizations of deformed double current algebras and Deligne categories Transformation Groups; (In Press)

Albion, Seamus P.; Rains, Eric M. et al. (2021) AFLT-type Selberg integrals Communications in Mathematical Physics; Vol. 388; No. 2;

Nakamura, Akane; Rains, Eric (2021) Uniqueness of Polarization for the Autonomous 4-dimensional Painlevé-type Systems International Mathematics Research Notices; Vol. 2021; No. 18;

Etingof, Pavel; Klyuev, Daniil et al. (2021) Twisted Traces and Positive Forms on Quantized Kleinian Singularities of Type A Symmetry, Integrability and Geometry, Methods and Applications (SIGMA); Vol. 17;

Lee, Chul-hee; Rains, Eric M. et al. (2020) An Elliptic Hypergeometric Function Approach to Branching Rules Symmetry, Integrability and Geometry, Methods and Applications (SIGMA); Vol. 16;

Rains, Eric M. (2020) Elliptic Double Affine Hecke Algebras Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 16;

Rains, Eric M.; Warnaar, S. Ole (2018) A Nekrasov–Okounkov formula for Macdonald polynomials Journal of Algebraic Combinatorics; Vol. 48; No. 1;

Rains, Eric M.; Sam, Steven V. (2018) Invariant theory of ⋀^3(9) and genus 2 curves Algebra and Number Theory; Vol. 12; No. 4;

Jordan, Bruce W.; Keeton, Allan G. et al. (2018) Abelian varieties isogenous to a power of an elliptic curve Compositio Mathematica; Vol. 154; No. 5;

Rains, Eric M.; Sun, Yi et al. (2018) Affine Macdonald conjectures and special values of Felder–Varchenko functions Selecta Mathematica - New Series; Vol. 24; No. 2;

Rains, Eric M. (2018) Multivariate quadratic transformations and the interpolation kernel Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 14;

Ormerod, Chris M.; Rains, Eric M. (2017) An Elliptic Garnier System Communications in Mathematical Physics; Vol. 355; No. 2;

Ormerod, Christopher M.; Rains, Eric (2017) A symmetric difference-differential Lax pair for Painlevé VI Journal of Integrable Systems; Vol. 2; No. 1;

Ormerod, Christopher M.; Rains, Eric M. (2016) Commutation Relations and Discrete Garnier Systems Symmetry, Integrability and Geometry: Methods and Applications (SIGMA); Vol. 12;

Etingof, Pavel; Rains, Eric (2016) On Cohen–Macaulayness of Algebras Generated by Generalized Power Sums Communications in Mathematical Physics; Vol. 347; No. 1;

Okounkov, Andrei; Rains, Eric (2015) Noncommutative geometry and Painlevé equations Algebra and Number Theory; Vol. 9; No. 6;

Bhargava, Manjul; Kane, Daniel M. et al. (2015) Modeling the distribution of ranks, Selmer groups, and Shafarevich–Tate groups of elliptic curves Cambridge Journal of Mathematics; Vol. 3; No. 3;

van de Bult, Fokko J.; Rains, Eric M. (2015) Limits of elliptic hypergeometric biorthogonal functions Journal of Approximation Theory; Vol. 193;

Rains, Eric; Ruijsenaars, Simon (2013) Difference Operators of Sklyanin and van Diejen Type Communications in Mathematical Physics; Vol. 320; No. 3;

Rains, Eric M.; Vazirani, Monica J. (2013) Deformations of permutation representations of Coxeter groups Journal of Algebraic Combinatorics; Vol. 37; No. 3;

Rains, Eric M. (2012) Elliptic Littlewood identities Journal of Combinatorial Theory. Series A; Vol. 119; No. 7;

Forrester, Peter J.; Rains, Eric M. (2012) A Fuchsian Matrix Differential Equation for Selberg Correlation Integrals Communications in Mathematical Physics; Vol. 309; No. 3;

Poonen, Bjorn; Rains, Eric (2012) Random maximal isotropic subspaces and Selmer groups Journal of the American Mathematical Society; Vol. 25; No. 1;

Rains, Eric M. (2011) An Isomonodromy Interpretation of the Hypergeometric Solution of the Elliptic Painlevé Equation (and Generalizations) Symmetry, Integrability and Geometry, Methods and Applications (SIGMA); Vol. 7;

Etingof, Pavel; Rains, Eric (2011) On Algebraically Integrable Differential Operators on an Elliptic Curve Symmetry, Integrability and Geometry, Methods and Applications (SIGMA); Vol. 7;

Poonen, Bjorn; Rains, Eric (2011) Self cup products and the theta characteristic torsor Mathematical Research Letters; Vol. 18; No. 6;

Borodin, Alexei; Gorin, Vadim et al. (2010) q-Distributions on boxed plane partitions Selecta Mathematica - New Series; Vol. 16; No. 4;

Etingof, Pavel; Henriques, André et al. (2010) The cohomology ring of the real locus of the moduli space of stable curves of genus 0 with marked points Annals of Mathematics; Vol. 171; No. 2;

Rains, Eric M. (2010) Transformations of elliptic hypergeometric integrals Annals of Mathematics; Vol. 171; No. 1;

Rains, Eric M. (2010) The homology of real subspace arrangements Journal of Topology; Vol. 3; No. 4;

Rains, E. M.; Spiridonov, V. P. (2009) Determinants of elliptic hypergeometric integrals Functional Analysis and its Applications; Vol. 43; No. 4;

Forrester, Peter J.; Rains, Eric M. (2009) Matrix averages relating to Ginibre ensembles Journal of Physics A: Mathematical and Theoretical; Vol. 42; No. 38;

Lascoux, Alain; Rains, Eric M. et al. (2009) Nonsymmetric interpolation macdonald polynomials and gl_n basic hypergeometric series Transformation Groups; Vol. 14; No. 3;

van de Bult, Fokko J.; Rains, Eric M. (2009) Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions Symmetry, Integrability and Geometry, Methods and Applications (SIGMA); Vol. 5; No. 059; Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric Functions, 21-25 July 2008 , Bonn, Germany

Rains, Eric M. (2009) The action of S_n on the cohomology of M_(0,n)(R) Selecta Mathematica - New Series; Vol. 15; No. 1;

Rains, Eric M. (2009) Limits of elliptic hypergeometric integrals Ramanujan Journal; Vol. 18; No. 3;

Etingof, Pavel; Rains, Eric (2008) New Deformations of Group Algebras of Coxeter Groups, II Geometric and Functional Analysis; Vol. 17; No. 6;

Henderson, Anthony; Rains, Eric (2008) The cohomology of real De Concini–Procesi models of Coxeter type International Mathematics Research Notices; Vol. 2008;

Günther, Annika; Nebe, Gabriele et al. (2008) Clifford-Weil groups of quotient representations Albanian Journal of Mathematics; Vol. 2; No. 3;

Forrester, Peter J.; Rains, Eric M. (2007) Symmetrized Models of Last Passage Percolation and Non-Intersecting Lattice Paths Journal of Statistical Physics; Vol. 129; No. 5-6;

Rains, Eric M.; Vazirani, Monica (2007) Vanishing Integrals of Macdonald and Koornwinder polynomials Transformation Groups; Vol. 12; No. 4;

van de Bult, F. J.; Rains, E. M. et al. (2007) Properties of Generalized Univariate Hypergeometric Functions Communications in Mathematical Physics; Vol. 275; No. 1;

Etingof, Pavel; Oblomkov, Alexei et al. (2007) Generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces Advances in Mathematics; Vol. 212; No. 2;

Etingof, Pavel; Latour, Frédéric et al. (2007) On central extensions of preprojective algebras Journal of Algebra; Vol. 313; No. 1;

Bartholdi, Laurent; Enriquez, Benjamin et al. (2006) Groups and Lie algebras corresponding to the Yang–Baxter equations Journal of Algebra; Vol. 305; No. 2;

Heninger, Nadia; Rains, E. M. et al. (2006) On the integrality of nth roots of generating functions Journal of Combinatorial Theory. Series A; Vol. 113; No. 8;

Etingof, Pavel; Rains, Eric (2006) Central extensions of preprojective algebras, the quantum Heisenberg algebra, and 2-dimensional complex reflection groups Journal of Algebra; Vol. 299; No. 2;

Forrester, Peter J.; Nagao, Taro et al. (2006) Correlation functions for random involutions International Mathematics Research Notices; Vol. 2006;

Forrester, Peter J.; Rains, Eric M. (2006) Jacobians and rank 1 perturbations relating to unitary Hessenberg matrices International Mathematics Research Notices; Vol. 2006;

Rains, Eric M. (2006) BC_n-symmetric abelian functions Duke Mathematical Journal; Vol. 135; No. 1;

Borodin, Alexei; Rains, Eric M. (2005) Eynard–Mehta Theorem, Schur Process, and their Pfaffian Analogs Journal of Statistical Physics; Vol. 121; No. 3-4;

Rains, Eric M. (2005) BC_n-symmetric polynomials Transformation Groups; Vol. 10; No. 1;

Etingof, Pavel; Rains, Eric (2005) New deformations of group algebras of Coxeter groups International Mathematics Research Notices; Vol. 2005; No. 10;

Forrester, Peter J.; Rains, Eric M. (2005) Interpretations of some parameter dependent generalizations of classical matrix ensembles Probability Theory and Related Fields; Vol. 131; No. 1;

Lagarias, Jeffrey C.; Rains, Eric (2005) Dynamics of a family of piecewise-linear area-preserving plane maps I. Rational rotation numbers Journal of Difference Equations and Applications; Vol. 11; No. 12;

Lagarias, Jeffrey C.; Rains, Eric (2005) Dynamics of a family of piecewise-linear area-preserving plane maps II. Invariant circles Journal of Difference Equations and Applications; Vol. 11; No. 13;

Lagarias, Jeffrey C.; Rains, Eric (2005) Dynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra Journal of Difference Equations and Applications; Vol. 11; No. 14;

Forrester, Peter J.; Rains, Eric M. (2004) Correlations for superpositions and decimations of Laguerre and Jacobi orthogonal matrix ensembles with a parameter Probability Theory and Related Fields; Vol. 130; No. 4;

Nebe, G.; Rains, E. M. et al. (2004) Codes and invariant theory Mathematische Nachrichten; Vol. 274-275; No. 1;

Nebe, Gabriele; Quebbemann, H.-G. et al. (2004) Complete weight enumerators of generalized doubly-even self-dual codes Finite Fields and Their Applications; Vol. 10; No. 4;

Quebbemann, H.-G.; Rains, E. M. (2003) On the involutions fixing the class of a lattice Journal of Number Theory; Vol. 101; No. 1;

Rains, Eric M. (2003) New asymptotic bounds for self-dual codes and lattices IEEE Transactions on Information Theory; Vol. 49; No. 5;

Applegate, David; Rains, E. M. et al. (2003) On asymmetric coverings and covering numbers Journal of Combinatorial Designs; Vol. 11; No. 3;

Rains, Eric M. (2003) Images of eigenvalue distributions under power maps Probability Theory and Related Fields; Vol. 125; No. 4;

Lagarias, Jeffrey C.; Rains, Eric (2003) On a two-variable zeta function for number fields Annales de l'Institut Fourier; Vol. 53; No. 1;

Rains, E. M.; Sloane, N. J. A. et al. (2002) The lattice of N-run orthogonal arrays Journal of Statistical Planning and Inference; Vol. 102; No. 2;

Lagarias, J. C.; Rains, E. M. et al. (2002) The EKG Sequence Experimental Mathematics; Vol. 11; No. 3;

Baik, Jinho; Deift, Percy et al. (2001) A Fredholm Determinant Identity and the Convergence of Moments for Random Young Tableaux Communications in Mathematical Physics; Vol. 223; No. 3;

Rains, Eric M. (2001) A semidefinite program for distillable entanglement IEEE Transactions on Information Theory; Vol. 47; No. 7;

Nebe, Gabriele; Rains, E. M. et al. (2001) The Invariants of the Clifford Groups Designs, Codes and Cryptography; Vol. 24; No. 1;

Rains, E. M. (2001) Class Groups and Modular Lattices Journal of Number Theory; Vol. 88; No. 2;

Baik, Jinho; Rains, Eric M. (2001) Algebraic aspects of increasing subsequences Duke Mathematical Journal; Vol. 109; No. 1;

Rains, Eric M.; Baik, Jinho (2001) The asymptotics of monotone subsequences of involutions Duke Mathematical Journal; Vol. 109; No. 2;

Baik, Jinho; Rains, Eric M. (2000) Limiting Distributions for a Polynuclear Growth Model with External Sources Journal of Statistical Physics; Vol. 100; No. 3-4;

Bonnecaze, A.; Rains, E. et al. (2000) 3-Colored 5-Designs and Z_4-Codes Journal of Statistical Planning and Inference; Vol. 86; No. 2;

Rains, Eric (2000) Bounds for Self-Dual Codes Over ℤ_4 Finite Fields and Their Applications; Vol. 6; No. 2;

Rains, Eric M. (2000) Polynomial invariants of quantum codes IEEE Transactions on Information Theory; Vol. 46; No. 1;

Conway, J. H.; Rains, E. M. et al. (1999) On the Existence of Similar Sublattices Canadian Journal of Mathematics; Vol. 51; No. 6;

Rains, Eric M. (1999) Monotonicity of the quantum linear programming bound IEEE Transactions on Information Theory; Vol. 45; No. 7;

Rains, Eric M. (1999) Quantum shadow enumerators IEEE Transactions on Information Theory; Vol. 45; No. 7;

Rains, Eric M. (1999) Nonbinary quantum codes IEEE Transactions on Information Theory; Vol. 45; No. 6;

Rains, Eric (1999) Optimal self-dual codes over ℤ_4 Discrete Mathematics; Vol. 203; No. 1-3;

Calderbank, A. R.; Hardin, R. H. et al. (1999) A Group-Theoretic Framework for the Construction of Packings in Grassmannian Spaces Journal of Algebraic Combinatorics; Vol. 9; No. 2;

Bennett, Charles H.; DiVincenzo, David P. et al. (1999) Quantum nonlocality without entanglement Physical Review A; Vol. 59; No. 2;

Rains, E. M.; Sloane, N. J. A. (1999) On Cayley's Enumeration of Alkanes (or 4-Valent Trees) Journal of Integer Sequences; Vol. 2;

Rains, Eric M. (1999) Quantum codes of minimum distance two IEEE Transactions on Information Theory; Vol. 45; No. 1;

Rains, E. M.; Sloane, N. J. A. (1998) The Shadow Theory of Modular and Unimodular Lattices Journal of Number Theory; Vol. 73; No. 2;

Rains, Eric M. (1998) Normal limit theorems for symmetric random matrices Probability Theory and Related Fields; Vol. 112; No. 3;

Calderbank, A. Robert; Rains, Eric M. et al. (1998) Quantum error correction via codes over GF(4) IEEE Transactions on Information Theory; Vol. 44; No. 4; 1997 IEEE International Symposium on Information Theory, June 29-July 4, 1997 , Ulm, Germany

Rains, Eric M. (1998) Quantum weight enumerators IEEE Transactions on Information Theory; Vol. 44; No. 4;

Lagarias, Jeffrey C.; Rains, Eric M. (1998) Rationals to and Only to Rationals: 10555 American Mathematical Monthly; Vol. 105; No. 3;

Rains, Eric M. (1998) Shadow bounds for self-dual codes IEEE Transactions on Information Theory; Vol. 44; No. 1;

Rains, E. M. (1998) Increasing Subsequences and the Classical Groups Electronic Journal of Combinatorics; Vol. 5;

Edel, Yves; Rains, E. M. et al. (1998) On Kissing Numbers in Dimensions 32 to 128 Electronic Journal of Combinatorics; Vol. 5;

Rains, E. M. (1997) Combinatorial Properties of Brownian Motion on the Compact Classical Groups Journal of Theoretical Probability; Vol. 10; No. 3;

Rains, E. M. (1997) High powers of random elements of compact Lie groups Probability Theory and Related Fields; Vol. 107; No. 2;

Calderbank, A. R.; Rains, E. M. et al. (1997) Quantum Error Correction and Orthogonal Geometry Physical Review Letters; Vol. 78; No. 3;

Robinson, Raphael M.; Goffinet, Daniel et al. (1996) Problems: 10550-10556 American Mathematical Monthly; Vol. 103; No. 9;

Brown, Robert W.; Rains, Eric M. et al. (1991) Harmonic analysis of the relativistic string in spinorial coordinates Classical and Quantum Gravity; Vol. 8; No. 7;