What is he best known for?
The fields of study he is best known for:
- Algebra
- Pure mathematics
- Ring
Pure mathematics, Discrete mathematics, Noetherian, Algebra and Hopf algebra are his primary areas of study.
His Pure mathematics study focuses on Filtered algebra in particular.
His work carried out in the field of Discrete mathematics brings together such families of science as Ring, Graded ring, Principal ideal ring and Combinatorics.
The study incorporates disciplines such as Noncommutative geometry, Maximal ideal and Direct sum in addition to Noetherian.
His Noncommutative geometry study integrates concerns from other disciplines, such as Scheme, Quotient category, Subcategory and Projective test.
Dimension, Quasitriangular Hopf algebra, Tensor algebra and Bialgebra is closely connected to Quantum group in his research, which is encompassed under the umbrella topic of Hopf algebra.
His most cited work include:
- Noncommutative Projective Schemes (521 citations)
- Rings with Auslander Dualizing Complexes (152 citations)
- Bialgebra actions, twists, and universal deformation formulas (129 citations)
What are the main themes of his work throughout his whole career to date?
His primary scientific interests are in Pure mathematics, Hopf algebra, Discrete mathematics, Algebra and Noetherian.
His study in Noncommutative geometry, Global dimension, Automorphism, Dimension and Filtered algebra falls within the category of Pure mathematics.
The various areas that James J. Zhang examines in his Global dimension study include Regular algebra and Graded ring.
James J. Zhang combines subjects such as Inner automorphism, Algebraically closed field, Quantum group and Gelfand–Kirillov dimension with his study of Hopf algebra.
His studies in Discrete mathematics integrate themes in fields like Ring, Polynomial ring, Local ring and Graded Lie algebra.
His Noetherian research incorporates themes from Commutative property, Resolution, Type and Injective function.
He most often published in these fields:
- Pure mathematics (75.36%)
- Hopf algebra (31.88%)
- Discrete mathematics (28.26%)
What were the highlights of his more recent work (between 2014-2021)?
- Pure mathematics (75.36%)
- Noncommutative geometry (21.01%)
- Hopf algebra (31.88%)
In recent papers he was focusing on the following fields of study:
His primary areas of study are Pure mathematics, Noncommutative geometry, Hopf algebra, Quantum group and Domain.
James J. Zhang usually deals with Pure mathematics and limits it to topics linked to Discrete mathematics and Non-associative algebra.
His research integrates issues of Noetherian and Dimension in his study of Noncommutative geometry.
His Noetherian research is multidisciplinary, relying on both Commutative property, Crepant resolution, Injective function and Lie algebra.
His Hopf algebra research incorporates elements of Global dimension, Quotient, Coalgebra, Cohomology and Algebraically closed field.
James J. Zhang has researched Quantum group in several fields, including Quasitriangular Hopf algebra, Nest algebra, CCR and CAR algebras and Algebra.
Between 2014 and 2021, his most popular works were:
- McKay correspondence for semisimple Hopf actions on regular graded algebras, I (29 citations)
- Zariski cancellation problem for noncommutative algebras (28 citations)
- Nakayama automorphism and applications (25 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Pure mathematics
- Ring
The scientist’s investigation covers issues in Pure mathematics, Hopf algebra, Noncommutative geometry, Discrete mathematics and Dimension.
His study in Algebra over a field, Global dimension, Quantum group, Quotient and Injective function falls under the purview of Pure mathematics.
His Injective function research includes themes of Dimension, Noetherian and Lie algebra.
His Hopf algebra study combines topics from a wide range of disciplines, such as Automorphism, Group action and Inner automorphism.
The Noncommutative geometry study combines topics in areas such as Invariant theory, Commutative ring, Complete intersection and Hilbert–Poincaré series.
His Discrete mathematics research includes elements of Domain, Quasitriangular Hopf algebra and Noncommutative ring.
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