What is he best known for?
The fields of study he is best known for:
- Algebra
- Combinatorics
- Quantum mechanics
Neil J. A. Sloane mostly deals with Combinatorics, Discrete mathematics, Linear code, Block code and Binary number.
His research in Combinatorics intersects with topics in Upper and lower bounds, Dual code and Coding theory.
His Discrete mathematics study incorporates themes from Binary Golay code, Lambda, Binary code, Decoding methods and Lattice.
His Polynomial code and Expander code study are his primary interests in Linear code.
His work on Reed–Muller code is typically connected to Quantum capacity as part of general Block code study, connecting several disciplines of science.
The study incorporates disciplines such as Binary logarithm, Set, Complementary sequences, Simple and Autocorrelation in addition to Binary number.
His most cited work include:
- The Theory of Error-Correcting Codes (9046 citations)
- Sphere packings, lattices, and groups (3780 citations)
- The On-Line Encyclopedia of Integer Sequences (3146 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of investigation include Combinatorics, Discrete mathematics, Linear code, Lattice and Binary number.
His studies in Combinatorics integrate themes in fields like Binary code, Leech lattice, Integer sequence and Reed–Muller code.
His study in Encyclopedia extends to Integer sequence with its themes.
His Discrete mathematics research incorporates themes from Polynomial code, Dual code, Invariant theory, Decoding methods and Upper and lower bounds.
His Linear code research is multidisciplinary, incorporating perspectives in Hamming code and Concatenated error correction code.
His Block code study focuses on Expander code in particular.
He most often published in these fields:
- Combinatorics (51.34%)
- Discrete mathematics (33.42%)
- Linear code (13.37%)
What were the highlights of his more recent work (between 2004-2020)?
- Combinatorics (51.34%)
- Discrete mathematics (33.42%)
- Sequence (4.81%)
In recent papers he was focusing on the following fields of study:
Neil J. A. Sloane mainly focuses on Combinatorics, Discrete mathematics, Sequence, Integer sequence and Pure mathematics.
His Combinatorics research is multidisciplinary, relying on both Order, Leech lattice and Binary number.
His research integrates issues of Binary code, Decoding methods, Block code and Upper and lower bounds in his study of Discrete mathematics.
In general Block code study, his work on Concatenated error correction code often relates to the realm of Invariant polynomial, thereby connecting several areas of interest.
He interconnects Multiplicative function, Base and Golden ratio in the investigation of issues within Sequence.
He has included themes like Number theory, Mailing list and Encyclopedia in his Integer sequence study.
Between 2004 and 2020, his most popular works were:
- The On-Line Encyclopedia of Integer Sequences (3146 citations)
- The on-line encyclopedia of integer sequences (174 citations)
- Self-Dual Codes and Invariant Theory (105 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Combinatorics
- Quantum mechanics
Neil J. A. Sloane focuses on Combinatorics, Discrete mathematics, Sequence, Integer sequence and Bijection.
Neil J. A. Sloane combines subjects such as Mathematical economics, Binary number, Deed of gift, Leech lattice and Algorithm with his study of Combinatorics.
His biological study spans a wide range of topics, including Upper and lower bounds, Block code, DUAL and Computation.
His Integer sequence research is multidisciplinary, incorporating perspectives in Integer, Mailing list, Encyclopedia and Line.
His studies in Bijection integrate themes in fields like Binary code, Decoding methods, Euclidean space and Codebook.
Euclidean space is often connected to Linear code in his work.
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