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Mathematics

D-Index
35
Citations
4795
World Ranking
2792
National Ranking
171

Research.com Recognitions

  • 2012 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Stavros Garoufalidis is affiliated with the Max Planck Institute for Mathematics in Germany. Their research primarily focuses on the broad field of Mathematics with substantial contributions in the subfields of Geometry and Topology, Mathematical Physics, Discrete Mathematics and Combinatorics, Computational Theory and Mathematics, and Statistical and Nonlinear Physics.

The main topics of Garoufalidis's research include:

  • Geometric and Algebraic Topology
  • Advanced Combinatorial Mathematics
  • Algebraic structures and combinatorial models
  • Homotopy and Cohomology in Algebraic Topology
  • Mathematical Dynamics and Fractals
  • Advanced Algebra and Geometry
  • Nonlinear Waves and Solitons

Garoufalidis has published extensively, with 131 papers cataloged in their main field. Notable recent publications include:

  • "Knots, Perturbative Series and Quantum Modularity," 2024, Symmetry Integrability and Geometry Methods and Applications
  • "Peacock patterns and resurgence in complex Chern-Simons theory," 2023, Research in the Mathematical Sciences
  • "Resurgence of Chern-Simons theory at the trivial flat connection," 2021, arXiv (Cornell University)
  • "Asymptotics of Nahm sums at roots of unity," 2020, The Ramanujan Journal

Their work has appeared frequently in several publication venues such as:

  • arXiv (Cornell University)
  • Research in the Mathematical Sciences
  • Symmetry Integrability and Geometry Methods and Applications
  • Bulletin of the London Mathematical Society
  • Annales Scientifiques de l'École Normale Supérieure

Frequent collaborators in their research include Seokbeom Yoon, Don Zagier, Rinat Kashaev, Campbell Wheeler, and Jie Gu.

Garoufalidis has been recognized as a Fellow of the John Simon Guggenheim Memorial Foundation in 2012.

Best Publications

  • On the characteristic and deformation varieties of a knot

    Stavros Garoufalidis

  • The colored Jones function is q-holonomic

    Stavros Garoufalidis;Thang T Q Le

  • On the Melvin–Morton–Rozansky conjecture

    Dror Bar-Natan;Stavros Garoufalidis

  • Calculus of clovers and finite type invariants of 3–manifolds

    Stavros Garoufalidis;Mikhail Goussarov;Michael Polyak

  • Asymptotics of the Instantons of Painlevé I

    Stavros Garoufalidis;Alexander Its;Andrei Kapaev;Marcos Marino

  • The quantum content of the gluing equations

    Tudor D. Dimofte;Stavros Garoufalidis

  • A rational noncommutative invariant of boundary links

    Stavros Garoufalidis;Andrew Kricker

  • The Jones slopes of a knot

    Stavros Garoufalidis

  • Wheels, wheeling, and the Kontsevich integral of the unknot

    Dror Bar-Natan;Stavros Garoufalidis;Lev Rozansky;Dylan P. Thurston

  • Nahm sums, stability and the colored Jones polynomial

    Stavros Garoufalidis;Thang T. Q. Le

  • On finite type 3-manifold invariants I

    Stavros Garoufalidis

  • The Aarhus integral of rational homology 3-spheres I: A highly non trivial flat connection on S^3

    Dror Bar-Natan;Stavros Garoufalidis;Lev Rozansky;Dylan P. Thurston

  • On Knots with trivial Alexander polynomial

    Stavros Garoufalidis;Peter Teichner

  • The complex volume of SL(n,C)-representations of 3-manifolds

    Stavros Garoufalidis;Dylan P. Thurston;Christian K. Zickert

  • Asymptotics of the colored Jones function of a knot

    Stavros Garoufalidis;Thang T Q Lê

  • Finite type {3}-manifold invariants, the mapping class group and blinks

    Stavros Garoufalidis;Jerome Levine

  • Gluing equations for PGL(n,C)-representations of 3-manifolds

    Stavros Garoufalidis;Matthias Goerner;Christian K. Zickert

  • Evaluation of state integrals at rational points

    Stavros Garoufalidis;Rinat Kashaev

  • The Århus integral of rational homology 3-spheres II: Invariance and universality

    Dror Bar-Natan;Stavros Garoufalidis;Lev Rozansky;Dylan P. Thurston

  • The degree of a q-holonomic sequence is a quadratic quasi-polynomial

    Stavros Garoufalidis

  • Tree-level invariants of three-manifolds, Massey products and the Johnson homomorphism

    Stavros Garoufalidis;Jerome Levine

Frequent Co-Authors

Marcos Mariño
Marcos Mariño University of Geneva
Don Zagier
Don Zagier Max Planck Institute for Mathematics
Vladimir Turaev
Vladimir Turaev Indiana University
Doron Zeilberger
Doron Zeilberger Rutgers, The State University of New Jersey
Jean Bellissard
Jean Bellissard Georgia Institute of Technology
Jeffrey S. Geronimo
Jeffrey S. Geronimo Georgia Institute of Technology

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