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D-Index & Metrics

Mathematics

D-Index
39
Citations
7382
World Ranking
2166
National Ranking
61

Andrei A. Agrachev publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Andrei A. Agrachev sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 191 publications — 58th percentile

58% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Andrei A. Agrachev D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Andrei A. Agrachev sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 39 D-Index — 41st percentile

41% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Andrei A. Agrachev is affiliated with the International School for Advanced Studies in Italy. Their research primarily spans the fields of Mathematics and Physics and Astronomy, with notable contributions to Applied Mathematics, Statistical and Nonlinear Physics, Computational Theory and Mathematics, Control and Systems Engineering, and Geometry and Topology.

Their main topics of work include:

  • Geometric Analysis and Curvature Flows
  • Advanced Differential Equations and Dynamical Systems
  • Model Reduction and Neural Networks
  • Nonlinear Partial Differential Equations
  • Quantum chaos and dynamical systems
  • Advanced Neuroimaging Techniques and Applications
  • Topological and Geometric Data Analysis

Andrei Agrachev has published in various prominent venues. Frequent publication venues include:

  • arXiv (Cornell University)
  • Journal of Dynamical and Control Systems
  • Nonlinearity
  • Florence Research (University of Florence)
  • Nonlinear Analysis

A selection of recent papers illustrates the range and focus of their work:

  • "Control on the Manifolds of Mappings with a View to the Deep Learning", 2021, Florence Research (University of Florence)
  • "Control on the Manifolds of Mappings with a View to the Deep Learning", 2021, Journal of Dynamical and Control Systems
  • "Jacobi fields in optimal control: Morse and Maslov indices", 2021, Nonlinear Analysis
  • "Jacobi Fields in Optimal Control: One-dimensional Variations", 2020, Journal of Dynamical and Control Systems
  • "Index theorems for graph-parametrized optimal control problems", 2023, Nonlinearity

Their frequent co-authors include:

  • Ivan Beschastnyi
  • Bettina Kazandjian
  • Andrey Sarychev
  • Stefano Baranzini
  • Luca Rizzi

Best Publications

  • Control Theory from the Geometric Viewpoint

    Andrei A. Agrachev;Yuri L. Sachkov

  • Lie-Algebraic Stability Criteria for Switched Systems

    Andrei A. Agrachev;Daniel Liberzon

  • Introduction to Riemannian and Sub-Riemannian geometry

    Andrei A. Agrachev;Davide Barilari;Ugo Boscain

  • Abnormal sub-riemannian geodesics : Morse index and rigidity

    A.A. Agrachev;A.V. Sarychev

  • The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups

    Andrei A. Agrachev;Ugo Boscain;Jean-Paul Gauthier;Francesco Rossi

  • Strong Optimality for a Bang-Bang Trajectory

    Andrei A. Agrachev;Gianna Stefani;PierLuigi Zezza

  • A Comprehensive Introduction to Sub-Riemannian Geometry

    Andrei Agrachev;Davide Barilari;Ugo Boscain

  • A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds

    Andrei A. Agrachev;Ugo Boscain;Mario Sigalotti

  • Nonlinear and Optimal Control Theory

    Andrei A. Agrachev;A. Stephen Morse;Eduardo D. Sontag;Héctor J. Sussmann

  • Sub-riemannian sphere in Martinet flat case

    A. Agrachev;Bernard Bonnard;Monique Chyba;I. Kupka

  • Exponential mappings for contact sub-Riemannian structures

    A. A. Agrachev

  • Chronological algebras and nonstationary vector fields

    A. A. Agrachev;R. V. Gamkrelidze

  • Sub-Riemannian structures on 3D lie groups

    A. Agrachev;D. Barilari

  • Local Invariants of Smooth Control Systems

    A. A. Agrachev;R. V. Gamkrelidze;A. V. Sarychev

  • Feedback-invariant optimal control theory and differential geometry - I. Regular extremals

    A. A. Agrachev;R. V. Gamkrelidze

  • Geometry of Jacobi Curves. I

    A. A. Agrachev;I. Zelenko

  • Some open problems

    Andrei A. Agrachev

  • ON THE SUBANALYTICITY OF CARNOT-CARATHEODORY DISTANCES

    Andrei A. Agrachev;Jean-Paul Gauthier

  • Symplectic Geometry for Optimal Control

    A. A. Agrachev;R. V. Gamkrelidze

  • On the Hausdorff volume in sub-Riemannian geometry

    Andrei A. Agrachev;Davide Barilari;Ugo Boscain

  • Optimal transportation under nonholonomic constraints

    Andrei A. Agrachev;Paul Lee

  • Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds

    Andrei Agrachev;Andrei Agrachev;Paul W. Y. Lee

  • Any sub-Riemannian metric has points of smoothness

    Andrei Agrachev;Andrei Agrachev

Frequent Co-Authors

Ugo Boscain
Ugo Boscain Sorbonne University
Daniel Liberzon
Daniel Liberzon University of Illinois at Urbana-Champaign
A. Stephen Morse
A. Stephen Morse Yale University
Eduardo D. Sontag
Eduardo D. Sontag Northeastern University
Yakov G. Sinai
Yakov G. Sinai Princeton University
Héctor J. Sussmann
Héctor J. Sussmann Rutgers, The State University of New Jersey

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