What is he best known for?
The fields of study he is best known for:
- Algebra
- Pure mathematics
- Mathematical analysis
Li Guo spends much of his time researching Algebra, Pure mathematics, Hopf algebra, Renormalization and Division algebra.
His research in Algebra intersects with topics in Algebra over a field and Combinatorics.
His work in Pure mathematics is not limited to one particular discipline; it also encompasses Quadratic equation.
His work investigates the relationship between Hopf algebra and topics such as Quantum group that intersect with problems in Representation theory of Hopf algebras and Quasitriangular Hopf algebra.
The Renormalization study combines topics in areas such as Feynman diagram and Quantum field theory.
His Division algebra study combines topics from a wide range of disciplines, such as Universal enveloping algebra and Jordan algebra.
His most cited work include:
- An introduction to Rota-Baxter algebra (199 citations)
- Baxter Algebras and Shuffle Products (161 citations)
- Renormalization of multiple zeta values (131 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of study are Pure mathematics, Algebra, Hopf algebra, Algebraic number and Lie algebra.
His Pure mathematics course of study focuses on Renormalization and Quantum field theory and Feynman diagram.
His Algebra research includes themes of Algebra representation, Quadratic algebra, Division algebra, Subalgebra and Operator theory.
His study in Division algebra is interdisciplinary in nature, drawing from both Universal enveloping algebra, Jordan algebra and Cellular algebra.
His Hopf algebra research is multidisciplinary, incorporating elements of Quasitriangular Hopf algebra, Structure, Combinatorics, Quantum group and Product.
His studies in Lie algebra integrate themes in fields like Associative algebra, Cohomology, Associative property and Yang–Baxter equation.
He most often published in these fields:
- Pure mathematics (73.27%)
- Algebra (33.66%)
- Hopf algebra (21.78%)
What were the highlights of his more recent work (between 2018-2021)?
- Pure mathematics (73.27%)
- Hopf algebra (21.78%)
- Lie algebra (22.28%)
In recent papers he was focusing on the following fields of study:
Pure mathematics, Hopf algebra, Lie algebra, Rota–Baxter algebra and Algebraic number are his primary areas of study.
His Pure mathematics research is multidisciplinary, relying on both Associative property and Connection.
Li Guo has researched Hopf algebra in several fields, including Commutative property, Structure and Isomorphism, Combinatorics.
His studies deal with areas such as Symmetric algebra, Division algebra, Representation theory of Hopf algebras, Subalgebra and Cellular algebra as well as Combinatorics.
In general Lie algebra, his work in Differential graded Lie algebra is often linked to Poisson algebra linking many areas of study.
His Algebraic number research focuses on subjects like Differential algebra, which are linked to Distributive property, Class and Basis.
Between 2018 and 2021, his most popular works were:
- Deformations and Their Controlling Cohomologies of $${\mathcal{O}}$$ O -Operators (20 citations)
- Deformations and Their Controlling Cohomologies of $${\mathcal{O}}$$ O -Operators (20 citations)
- Matching Rota-Baxter algebras, matching dendriform algebras and matching pre-Lie algebras (15 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Pure mathematics
- Mathematical analysis
Li Guo mostly deals with Pure mathematics, Lie algebra, Hopf algebra, Connection and Algebra over a field.
His Pure mathematics study integrates concerns from other disciplines, such as Algebraic number and Renormalization.
The various areas that Li Guo examines in his Lie algebra study include Cohomology, Deformation theory and Integrable system.
His research integrates issues of Quasitriangular Hopf algebra, Representation theory of Hopf algebras and Combinatorics in his study of Hopf algebra.
His Quasitriangular Hopf algebra study combines topics in areas such as Quantum group and Symmetric algebra.
His Algebra over a field research includes elements of Iterated integrals, Special case, Associative property and Zero.
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