What is he best known for?
The fields of study he is best known for:
- Algebra
- Pure mathematics
- Complex number
Stavros Garoufalidis spends much of his time researching Pure mathematics, Combinatorics, Algebra, Homology and Jones polynomial.
The study incorporates disciplines such as Space and Type in addition to Pure mathematics.
His research is interdisciplinary, bridging the disciplines of Instanton and Combinatorics.
Stavros Garoufalidis has included themes like Gaussian integral, Holonomy and Knot in his Algebra study.
As part of the same scientific family, Stavros Garoufalidis usually focuses on Homology, concentrating on Modulo and intersecting with Commutative property, Invariant manifold, Hopf algebra and 3-manifold.
In his works, Stavros Garoufalidis performs multidisciplinary study on Jones polynomial and Link.
His most cited work include:
- On the Melvin–Morton–Rozansky conjecture (214 citations)
- The colored Jones function is q-holonomic (193 citations)
- On the characteristic and deformation varieties of a knot (190 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of study are Pure mathematics, Combinatorics, Invariant, Conjecture and Jones polynomial.
His primary area of study in Pure mathematics is in the field of Homology.
His Homology research focuses on subjects like 3-manifold, which are linked to Type.
In general Combinatorics study, his work on Graph often relates to the realm of Knot theory, HOMFLY polynomial and Volume conjecture, thereby connecting several areas of interest.
His work deals with themes such as Root of unity, Abelian group, Torus and Mathematical analysis, which intersect with Invariant.
He usually deals with Jones polynomial and limits it to topics linked to Quantum invariant and Knot polynomial.
He most often published in these fields:
- Pure mathematics (53.68%)
- Combinatorics (35.06%)
- Invariant (23.81%)
What were the highlights of his more recent work (between 2015-2021)?
- Pure mathematics (53.68%)
- Combinatorics (35.06%)
- Conjecture (19.05%)
In recent papers he was focusing on the following fields of study:
His primary scientific interests are in Pure mathematics, Combinatorics, Conjecture, Invariant and Formal power series.
His work on Symplectic geometry, Manifold, 3-manifold and Homology as part of his general Pure mathematics study is frequently connected to SPHERES, thereby bridging the divide between different branches of science.
His work on Graph as part of general Combinatorics research is frequently linked to Knot theory and Tetrahedron, bridging the gap between disciplines.
His study deals with a combination of Conjecture and Jones polynomial.
Jones polynomial is frequently linked to Quantum invariant in his study.
Stavros Garoufalidis combines subjects such as Power series and Torus with his study of Invariant.
Between 2015 and 2021, his most popular works were:
- Knots, BPS States, and Algebraic Curves (34 citations)
- A Census of Tetrahedral Hyperbolic Manifolds (20 citations)
- The colored HOMFLYPT function is $q$-holonomic (18 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Pure mathematics
- Complex number
Pure mathematics, Combinatorics, Invariant, Conjecture and Root of unity are his primary areas of study.
Much of his study explores Pure mathematics relationship to Formal power series.
The Partition research Stavros Garoufalidis does as part of his general Combinatorics study is frequently linked to other disciplines of science, such as Tetrahedron, Row and Colored, therefore creating a link between diverse domains of science.
His research in Invariant tackles topics such as Torus which are related to areas like Connection and Normal surface.
His Root of unity research includes elements of Knot, Bloch group, Chern class, Power series and Algebraic K-theory.
His Jones polynomial study is associated with Knot theory.
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