World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
30
Citations
6424
World Ranking
3435
National Ranking
223

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Best Publications

  • A Tour of Subriemannian Geometries, Their Geodesics and Applications

    Richard Montgomery

  • A remarkable periodic solution of the three-body problem in the case of equal masses

    Alain Chenciner;Richard Montgomery

  • Reduction, symmetry, and phases in mechanics

    Jerrold E. Marsden;Richard Montgomery;Tudor S. Ratiu

  • Isoholonomic problems and some applications

    R. Montgomery

  • Dynamical bias in the coin toss

    Persi Diaconis;Susan Holmes;Richard Montgomery

  • Abnormal Minimizers

    Unknown

  • The Hamiltonian structure for dynamic free boundary problems

    D Lewis;J Marsden;R Montgomery;T Ratiu

  • CANONICAL FORMULATIONS OF A CLASSICAL PARTICLE IN A YANG-MILLS FIELD AND WONG'S EQUATIONS

    Richard Montgomery

  • Nonholonomic systems via moving frames: Cartan equivalence and Chaplygin Hamiltonization

    Kurt Ehlers;Jair Koiller;Richard Montgomery;Pedro M. Rios

  • The N-body problem, the braid group, and action-minimizing periodic solutions

    Richard Montgomery

  • Simple Choreographic Motions of N Bodies: A Preliminary Study

    Alain Chenciner;Joseph Gerver;Richard Montgomery;Carles Simó

  • A survey of singular curves in sub-Riemannian geometry

    R. Montgomery

  • Optimal path planning on matrix Lie groups

    G.C. Walsh;R. Montgomery;S.S. Sastry

  • Hearing the zero locus of a magnetic field

    Richard Montgomery

  • Geometric approach to Goursat flags

    Richard Montgomery;Michail Zhitomirskii

  • Covariant Poisson Brackets for Classical Fields

    J. E. Marsden;R. Montgomery;P. J. Morrison;W. B. Thompson

  • Gauged Lie-Poisson structures

    Richard Montgomery;Jerrold E. Marsden;Tudor S. Ratiu

  • Problems and progress in microswimming

    J. Koiller;K. Ehlers;R. Montgomery

  • The connection whose holonomy is the classical adiabatic angles of Hannay and Berry and its generalization to the non-integrable case

    Unknown

  • Examples of singular reduction

    Eugene Lerman;Richard Montgomery;Reyer Sjamaar

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