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Mathematics

D-Index
36
Citations
5303
World Ranking
2648
National Ranking
1091

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

John B. Etnyre is affiliated with the Georgia Institute of Technology in the United States. Their primary research field is Mathematics, with a focus on Geometry and Topology, Mathematical Physics, and Discrete Mathematics and Combinatorics. Additional interests include Applied Mathematics and Genetics.

Their work covers main topics such as:

  • Geometric and Algebraic Topology
  • Homotopy and Cohomology in Algebraic Topology
  • Advanced Combinatorial Mathematics
  • Algebraic Geometry and Number Theory
  • Geometric Analysis and Curvature Flows
  • Connective tissue disorders research
  • Topological and Geometric Data Analysis

John B. Etnyre has published in multiple venues, with frequent contributions to:

  • arXiv (Cornell University)
  • Transactions of the American Mathematical Society
  • Bulletin of the London Mathematical Society
  • Mathematische Annalen
  • Journal of Topology

Notable recent publications include:

  • "Contact surgery and symplectic caps," 2020, Bulletin of the London Mathematical Society
  • "Homology Spheres Bounding Acyclic Smooth Manifolds and Symplectic Fillings," 2022, The Michigan Mathematical Journal
  • "Symplectic fillings and cobordisms of lens spaces," 2021, Transactions of the American Mathematical Society
  • "Generalizations of planar contact manifolds to higher dimensions," 2020, arXiv (Cornell University)
  • "Stein traces and characterizing slopes," 2023, Mathematische Annalen

Frequent collaborators include:

  • Marc Kegel
  • Roger Casals
  • Bülent Tosun
  • Agniva Roy
  • Burak Özbağcı

John B. Etnyre was recognized as a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Legendrian and Transversal Knots

    John B. Etnyre

  • Knots and Contact Geometry I: Torus Knots and the Figure Eight Knot

    John B. Etnyre;Ko Honda

  • Legendrian contact homology in $P imes \mathbb{R}$

    Tobias Ekholm;Tobias Ekholm;John B. Etnyre;John B. Etnyre;Michael C. Sullivan

  • Planar open book decompositions and contact structures

    John B. Etnyre

  • On the nonexistence of tight contact structures

    John B. Etnyre;Ko Honda

  • Lectures on open book decompositions and contact structures

    John B. Etnyre

  • Chapter 3 – Legendrian and Transversal Knots

    John B. Etnyre

  • On Symplectic Cobordisms

    John B. Etnyre;Ko Honda

  • Invariants of Legendrian Knots and Coherent Orientations

    John B. Etnyre;Lenhard L. Ng;Joshua M. Sabloff

  • The contact homology of Legendrian submanifolds in R2n+1

    Tobias Ekholm;John Etnyre;Michael Sullivan

  • Introductory Lectures on Contact Geometry

    John B. Etnyre

  • Contact topology and hydrodynamics: I. Beltrami fields and the Seifert conjecture

    John Etnyre;Robert Ghrist

  • Cabling and transverse simplicity

    John B. Etnyre;Ko Honda

  • Non-isotopic Legendrian submanifolds in R2n+1

    Tobias Ekholm;John Etnyre;Michael Sullivan

  • On connected sums and Legendrian knots

    John B. Etnyre;Ko Honda

  • ORIENTATIONS IN LEGENDRIAN CONTACT HOMOLOGY AND EXACT LAGRANGIAN IMMERSIONS

    Tobias Ekholm;John Etnyre;Michael G. Sullivan

  • Knot contact homology

    Tobias Ekholm;John B Etnyre;Lenhard Ng;Michael G Sullivan

  • Tight contact structures with no symplectic fillings

    John B. Etnyre;Ko Honda

  • Invariants of contact structures from open books

    John B. Etnyre;Burak Ozbagci

  • Symplectic convexity in low-dimensional topology

    John B. Etnyre

  • Legendrian Contact Homology in P X R

    Tobias Ekholm;John Etnyre;Michael G. Sullivan

Frequent Co-Authors

Robert Ghrist
Robert Ghrist University of Pennsylvania

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