What is he best known for?
The fields of study he is best known for:
- Algebra
- Mathematical analysis
- Combinatorics
Eric M. Rains mainly investigates Combinatorics, Discrete mathematics, Linear code, Pure mathematics and Invariant.
He has included themes like Quantum information science, Quantum entanglement and Subsequence in his Combinatorics study.
The Discrete mathematics study combines topics in areas such as Longest increasing subsequence, Fixed point, Classical group and Algebraic number.
His Linear code study combines topics from a wide range of disciplines, such as Invariant theory and Algebra.
In the subject of general Pure mathematics, his work in Rational function and Hypergeometric distribution is often linked to Probability theory and Aztec diamond, thereby combining diverse domains of study.
The various areas that he examines in his Quantum convolutional code study include Stabilizer code, Concatenated error correction code, Quantum capacity and Decoherence-free subspaces.
His most cited work include:
- Quantum error correction via codes over GF(4) (1200 citations)
- Quantum nonlocality without entanglement (698 citations)
- Quantum Error Correction and Orthogonal Geometry (585 citations)
What are the main themes of his work throughout his whole career to date?
The scientist’s investigation covers issues in Pure mathematics, Combinatorics, Discrete mathematics, Algebra and Macdonald polynomials.
His Pure mathematics research is multidisciplinary, incorporating elements of Eigenvalues and eigenvectors and Mathematical analysis.
Eric M. Rains combines subjects such as Classical group and Matrix, Unitary matrix with his study of Eigenvalues and eigenvectors.
His study in Combinatorics is interdisciplinary in nature, drawing from both Type, Invariant and Group.
His Discrete mathematics study combines topics in areas such as Invariant theory, Quantum, Linear programming and Quantum codes, Linear code.
His Linear code research incorporates themes from Hamming code and Concatenated error correction code.
He most often published in these fields:
- Pure mathematics (44.65%)
- Combinatorics (32.56%)
- Discrete mathematics (24.65%)
What were the highlights of his more recent work (between 2015-2021)?
- Pure mathematics (44.65%)
- Moduli space (7.44%)
- Macdonald polynomials (9.77%)
In recent papers he was focusing on the following fields of study:
Eric M. Rains mostly deals with Pure mathematics, Moduli space, Macdonald polynomials, Type and Lax pair.
His Macdonald polynomials research is under the purview of Combinatorics.
His work deals with themes such as Higgs boson and Riemann surface, which intersect with Combinatorics.
His Type research incorporates elements of Hypergeometric function, Gravitational singularity, Quantization, Star product and Orthogonal polynomials.
To a larger extent, he studies Discrete mathematics with the aim of understanding Natural transformation.
His Discrete mathematics research is multidisciplinary, incorporating perspectives in Affine group, Quantum affine algebra and Affine Hecke algebra.
Between 2015 and 2021, his most popular works were:
- Multivariate Quadratic Transformations and the Interpolation Kernel (21 citations)
- Commutation Relations and Discrete Garnier Systems (14 citations)
- ABELIAN VARIETIES ISOGENOUS TO A POWER OF AN ELLIPTIC CURVE (9 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Mathematical analysis
- Pure mathematics
His primary areas of investigation include Pure mathematics, Lax pair, Moduli space, Macdonald polynomials and Affine transformation.
His Pure mathematics study frequently intersects with other fields, such as Generalization.
His studies in Lax pair integrate themes in fields like Symmetry, Linear system, Differential and Symmetric difference.
His Moduli space research includes elements of Combinatorics, Riemann surface, Space, Polynomial and Higgs boson.
His biological study spans a wide range of topics, including Hypergeometric function, Type, Bounded function, Partial fraction decomposition and Symplectic geometry.
His work in Affine transformation addresses subjects such as Interpolation, which are connected to disciplines such as Kernel.
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