World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
48
Citations
14061
World Ranking
1185
National Ranking
530

Research.com Recognitions

  • 2018 - Fellow of the American Mathematical Society For contributions to quantum information theory and coding theory, the theory of random matrices, the study of special functions, non-commutative geometry and number theory.

Overview

Eric M. Rains is affiliated with the California Institute of Technology in the United States. Their research primarily focuses on mathematics, with a substantial publication record spanning multiple subfields of study.

The main fields of their work include:

  • Mathematics

Their contributions extend deeply into the following subfields:

  • Mathematical Physics
  • Geometry and Topology
  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Eric M. Rains has engaged extensively in research topics such as:

  • Advanced Algebra and Geometry
  • Advanced Topics in Algebra
  • Algebraic Geometry and Number Theory
  • Algebraic structures and combinatorial models
  • Finite Group Theory Research
  • Analytic Number Theory Research
  • Homotopy and Cohomology in Algebraic Topology

They have published frequently in venues including:

  • arXiv (Cornell University)
  • Symmetry Integrability and Geometry Methods and Applications
  • Indagationes Mathematicae
  • Memoirs of the American Mathematical Society
  • Transformation Groups

Their recent papers include:

  • "Elliptic Double Affine Hecke Algebras," 2020, Symmetry Integrability and Geometry Methods and Applications
  • "Bounded Littlewood identities," 2021, Memoirs of the American Mathematical Society
  • "AFLT-type Selberg integrals," 2021, Communications in Mathematical Physics
  • "NEW REALIZATIONS OF DEFORMED DOUBLE CURRENT ALGEBRAS AND DELIGNE CATEGORIES," 2022, Transformation Groups
  • "An Elliptic Hypergeometric Function Approach to Branching Rules," 2020, Symmetry Integrability and Geometry Methods and Applications

Frequent collaborators in their work include:

  • S. Ole Warnaar
  • Pavel Etingof
  • Seamus P. Albion
  • Alexander Polishchuk
  • Daniil Kalinov

Eric M. Rains was awarded the title of Fellow of the American Mathematical Society in 2018. The citation for this recognition notes contributions to quantum information theory and coding theory, the theory of random matrices, the study of special functions, non-commutative geometry, and number theory.

Best Publications

  • Quantum error correction via codes over GF(4)

    A.R. Calderbank;E.M. Rains;P.M. Shor;N.J.A. Sloane

  • Quantum nonlocality without entanglement

    Charles H. Bennett;David P. DiVincenzo;Christopher A. Fuchs;Tal Mor

  • Quantum Error Correction and Orthogonal Geometry

    A. R. Calderbank;E. M. Rains;P. W. Shor;N. J. A. Sloane

  • Nonbinary quantum codes

    E.M. Rains

  • A semidefinite program for distillable entanglement

    E.M. Rains

  • Self-Dual Codes

    E. M. Rains;N. J. A. Sloane

  • Bound on distillable entanglement

    E. M. Rains

  • Eynard–Mehta Theorem, Schur Process, and their Pfaffian Analogs

    Alexei Borodin;Eric M. Rains

  • Shadow bounds for self-dual codes

    E.M. Rains

  • Transformations of elliptic hypergeometric integrals

    Eric M. Rains

  • Limiting Distributions for a Polynuclear Growth Model with External Sources

    Jinho Baik;Eric M. Rains

  • A logarithmic-depth quantum carry-lookahead adder

    Thomas G. Draper;Samuel A. Kutin;Eric M. Rains;Krysta M. Svore

  • Algebraic aspects of increasing subsequences

    Jinho Baik;Eric M. Rains

  • RIGOROUS TREATMENT OF DISTILLABLE ENTANGLEMENT

    E. M. Rains

  • The asymptotics of monotone subsequences of involutions

    Jinho Baik;Eric M. Rains

  • Increasing Subsequences and the Classical Groups

    Eric M. Rains

  • Self-Dual Codes and Invariant Theory

    G. Nebe;Eric M. Rains;Neil James Alexander Sloane

  • Quantum weight enumerators

    E.M. Rains

  • Correlation functions for symmetrized increasing subsequences

    Eric M. Rains

  • Symmetrized Random Permutations

    Jinho Baik;Eric M. Rains

Frequent Co-Authors

Neil J. A. Sloane
Neil J. A. Sloane OEIS Foundation Inc.
Jeffrey C. Lagarias
Jeffrey C. Lagarias University of Michigan–Ann Arbor
Peter J. Forrester
Peter J. Forrester University of Melbourne
Jinho Baik
Jinho Baik University of Michigan–Ann Arbor
A.R. Calderbank
A.R. Calderbank Duke University
Krysta M. Svore
Krysta M. Svore Microsoft (United States)

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

Pursuing a degree in Mathematics in the USA can open doors to diverse career paths in finance, marketing, and business. Many students complement their math background with advanced degrees to enhance their skills and job prospects.

For those interested in the financial sector, an online masters in finance offers a practical way to specialize while managing costs and schedule flexibility.

Business-focused graduates often explore an MBA to round out their expertise. Some professionals prefer the efficiency of fastest online mba programs, completing their studies quickly without sacrificing quality.

Marketing roles benefit from a quantitative edge too. An ms in digital marketing degree cost usa is an affordable route that also pays off in improved career opportunities.

For a concise yet comprehensive approach, students might consider 1 year mba programs in usa, which combine speed and prestige to boost employability in competitive markets.

Best Scientists Citing Eric M. Rains

Trending Scientists