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Mathematics

D-Index
36
Citations
8151
World Ranking
2587
National Ranking
171

Research.com Recognitions

  • 2003 - Fellow of the Royal Society of Edinburgh
  • 1999 - Fellow of the Royal Society, United Kingdom

Overview

John Toland is a researcher affiliated with the University of Bath in the United Kingdom. Their academic focus is primarily in the field of Mathematics, with a strong concentration on related subfields such as Mathematical Physics, Geometry and Topology, Applied Mathematics, Oceanography, and Statistical and Nonlinear Physics.

The scientist's main topics of research cover a diverse array of advanced mathematical and physical theories. Key topics include:

  • Advanced Topology and Set Theory
  • Advanced Banach Space Theory
  • Advanced Harmonic Analysis Research
  • Ocean Waves and Remote Sensing
  • Mathematical Dynamics and Fractals
  • Advanced Differential Equations and Dynamical Systems
  • Nonlinear Partial Differential Equations

John Toland has contributed to a range of publications across various scholarly venues. These include:

  • arXiv (Cornell University)
  • Quarterly of Applied Mathematics
  • Epilepsy & Behavior
  • Electronic Research Archive
  • Biographical Memoirs of Fellows of the Royal Society

Recent papers authored or co-authored by John Toland include:

  • Path-connectedness in global bifurcation theory, 2021, Electronic Research Archive
  • Traveling water waves - the ebb and flow of two centuries, 2022, Quarterly of Applied Mathematics
  • Oro-mucosal midazolam maleate: Use and effectiveness in adults with epilepsy in the UK, 2021, Epilepsy & Behavior
  • Ludwig Edward Fraenkel. 28 May 1927-27 April 2019, 2020, Biographical Memoirs of Fellows of the Royal Society
  • A Proof of Hélein's Conjecture on Boundedness of Conformal Factors when n=3, 2020, arXiv (Cornell University)

The researcher has also published books through Springer International Publishing, including:

  • The Dual of L∞(X,L,λ), Finitely Additive Measures and Weak Convergence, 2020
  • Connected Sets in Global Bifurcation Theory, 2025

Frequent collaborators in their research include:

  • Boris Buffoni
  • Susanna V. Haziot
  • Vera Mikyoung Hur
  • Walter A. Strauss
  • Erik Wahlén

John Toland has been recognized with fellowships such as:

  • Fellow of the Royal Society, United Kingdom, 1999
  • Fellow of the Royal Society of Edinburgh, 2003

Best Publications

  • A duality principle for non-convex optimisation and the calculus of variations

    J. F. Toland

  • On the stokes conjecture for the wave of extreme form

    C. J. Amick;L. E. Fraenkel;J. F. Toland

  • Duality in nonconvex optimization

    J.F Toland

  • Analytic theory of global bifurcation

    Boris Buffoni;John Toland

  • On solitary water-waves of finite amplitude

    C. J. Amick;J. F. Toland

  • Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system

    B Buffoni;Alan R Champneys;JF Toland

  • Standing Waves on an Infinitely Deep Perfect Fluid Under Gravity

    Gerard Iooss;Pavel Plotnikov;J.F. Toland

  • On the Existence of a Wave of Greatest Height and Stokes's Conjecture

    John Francis Toland

  • Bifurcation of a plethora of multi-modal homoclinic orbits for autonomous Hamiltonian systems

    A R Champneys;J F Toland

  • Uniqueness and related analytic properties for the Benjamin-Ono equation —a nonlinear Neumann problem in the plane

    C. J. Amick;J. F. Toland

  • On Periodic Water-Waves and their Convergence to Solitary Waves in the Long-Wave Limit

    C. J. Amick;John Francis Toland

  • Homoclinic orbits in the dynamic phase-space analogy of an elastic strut

    C. J. Amick;J. F. Toland

  • Modelling nonlinear hydroelastic waves

    P I Plotnikov;John F Toland

  • Nash-Moser Theory for Standing Water Waves

    P. I. Plotnikov;J. F. Toland

  • The Peierls–Nabarro and Benjamin–Ono Equations

    J.F. Toland

  • The Sub-Harmonic Bifurcation of Stokes Waves

    B. Buffoni;E. N. Dancer;J. F. Toland

  • A Plethora of Solitary Gravity-Capillary Water Waves with Nearly Critical Bond and Froude Numbers

    B. Buffoni;M. D. Groves;J. F. Toland

  • The Regularity and Local Bifurcation of¶Steady Periodic Water Waves

    B. Buffoni;E. N. Dancer;J. F. Toland

  • Convexity of Stokes Waves of Extreme Form

    P. I. Plotnikov;J. F. Toland

  • Symmetry and the bifurcation of capillary-gravity waves

    Mark Jones;Mark Jones;John Toland;John Toland

  • NONLINEAR SUPERPOSITION OPERATORS

    John Toland

Frequent Co-Authors

E. N. Dancer
E. N. Dancer University of Sydney
Alan R Champneys
Alan R Champneys University of Bristol
Gérard Iooss
Gérard Iooss Université Côte d'Azur
Simon R. Harris
Simon R. Harris Wellcome Sanger Institute
Helmut Hofer
Helmut Hofer Institute for Advanced Study
Louis Jeanjean
Louis Jeanjean University of Franche-Comté

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