2012 - Fellow of John Simon Guggenheim Memorial Foundation
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 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.
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.
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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On the characteristic and deformation varieties of a knot
arXiv: Geometric Topology (2004)
The colored Jones function is q-holonomic
Stavros Garoufalidis;Thang T Q Le.
Geometry & Topology (2005)
On the Melvin–Morton–Rozansky conjecture
Dror Bar-Natan;Stavros Garoufalidis.
Inventiones Mathematicae (1996)
Calculus of clovers and finite type invariants of 3–manifolds
Stavros Garoufalidis;Mikhail Goussarov;Michael Polyak.
Geometry & Topology (2001)
Asymptotics of the Instantons of Painlevé I
Stavros Garoufalidis;Alexander Its;Andrei Kapaev;Marcos Marino.
International Mathematics Research Notices (2012)
Problems on invariants of knots and 3-manifolds
J. E. Andersen;N. Askitas;D. Bar-Natan;S. Baseilhac.
Geometry and Topology Monographs (2004)
The quantum content of the gluing equations
Tudor D. Dimofte;Stavros Garoufalidis.
Geometry & Topology (2013)
A rational noncommutative invariant of boundary links
Stavros Garoufalidis;Andrew Kricker.
Geometry & Topology (2004)
The Jones slopes of a knot
Quantum Topology (2011)
Wheels, wheeling, and the Kontsevich integral of the unknot
Dror Bar-Natan;Stavros Garoufalidis;Lev Rozansky;Dylan P. Thurston.
Israel Journal of Mathematics (2000)
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