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Rafael de la Llave

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 40 2062 1813 877 724 186 6537

Rafael de la Llave publications per year

The chart shows the history of publications by Rafael de la Llave between 1982 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Rafael de la Llave published across 44 years, from 1982 to 2025, averaging 4.6 papers a year. Output peaked at 20 publications in 2021. 5 of the 204 publications appeared in the last two years.

No. of publications
5 10 15 20
Bar chart. Horizontal axis: year, 1982 to 2025. Vertical axis: number of publications, 0 to 20. Peak 20 publications in 2021. 1982: 1 publication 1983: 1 publication 1984: 1 publication 1985: 1 publication 1986: 3 publications 1987: 1 publication 1988: 1 publication 1989: 1 publication 1990: 1 publication 1991: 3 publications 1992: 5 publications 1993: 1 publication 1994: 1 publication 1995: 3 publications 1996: 3 publications 1997: 2 publications 1998: 1 publication 1999: 3 publications 2000: 7 publications 2001: 3 publications 2002: 4 publications 2003: 6 publications 2004: 3 publications 2005: 7 publications 2006: 7 publications 2007: 8 publications 2008: 7 publications 2009: 7 publications 2010: 7 publications 2011: 11 publications 2012: 6 publications 2013: 7 publications 2014: 4 publications 2015: 7 publications 2016: 4 publications 2017: 11 publications 2018: 4 publications 2019: 3 publications 2020: 11 publications 2021: 20 publications 2022: 5 publications 2023: 7 publications 2024: 1 publication 2025: 4 publications
1982 2025

204 publications in total across all disciplines

View publications per year as a table
Rafael de la Llave: publications per year, 1982 to 2025
Year Publications
1982 1
1983 1
1984 1
1985 1
1986 3
1987 1
1988 1
1989 1
1990 1
1991 3
1992 5
1993 1
1994 1
1995 3
1996 3
1997 2
1998 1
1999 3
2000 7
2001 3
2002 4
2003 6
2004 3
2005 7
2006 7
2007 8
2008 7
2009 7
2010 7
2011 11
2012 6
2013 7
2014 4
2015 7
2016 4
2017 11
2018 4
2019 3
2020 11
2021 20
2022 5
2023 7
2024 1
2025 4
Total 204
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Rafael de la Llave 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 Rafael de la Llave sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 182–186 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 186 publications — 56th percentile

56% of scientists in this discipline score the same or lower.

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

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78 186
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

Rafael de la Llave 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 Rafael de la Llave sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 40 D-Index, is where this scientist sits. 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: 40 D-Index — 45th percentile

45% of scientists in this discipline score the same or lower.

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

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138 40
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Overview

Rafael de la Llave is affiliated with the Georgia Institute of Technology in the United States. Their research spans the fields of Physics and Astronomy as well as Mathematics, with notable contributions in several subfields including Statistical and Nonlinear Physics, Mathematical Physics, Astronomy and Astrophysics, Numerical Analysis, and Aerospace Engineering.

The principal topics covered in de la Llave's work include Quantum chaos and dynamical systems, Mathematical Dynamics and Fractals, Astro and Planetary Science, Numerical methods for differential equations, Spacecraft Dynamics and Control, Nonlinear Dynamics and Pattern Formation, and Scientific Research and Discoveries.

De la Llave has published extensively, with recent papers reflecting a focus on dynamics in celestial mechanics and nonlinear systems. Selected recent works are:

  • Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems (2022, Celestial Mechanics and Dynamical Astronomy)
  • KAM quasi-periodic tori for the dissipative spin-orbit problem (2022, Cineca Institutional Research Information System, Tor Vergata University)
  • Parameterization method for state-dependent delay perturbation of an ordinary differential equation (2020, arXiv, Cornell University)
  • High-order resonant orbit manifold expansions for mission design in the planar circular restricted 3-body problem (2021, Communications in Nonlinear Science and Numerical Simulation)
  • Response Solutions to Quasi-Periodically Forced Systems, Even to Possibly Ill-Posed PDEs, with Strong Dissipation and any Frequency Vectors (2020, SIAM Journal on Mathematical Analysis)

Frequent coauthors in their research include Joan Gimeno, Renato Calleja, Alessandra Celletti, Bhanu Kumar, and Rodney L. Anderson. Collaborative efforts have contributed to a range of studies primarily in nonlinear dynamics and celestial mechanics.

De la Llave's publications appear often in certain venues, highlighting their preferred platforms for dissemination. These include:

  • arXiv (Cornell University) with 21 publications
  • Communications in Nonlinear Science and Numerical Simulation with 3 publications
  • Nonlinearity with 3 publications
  • SIAM Journal on Applied Dynamical Systems with 3 publications
  • Celestial Mechanics and Dynamical Astronomy with 2 publications

Best Publications

  • The parameterization method for invariant manifolds I: manifolds associated to non-resonant subspaces

    Xavier Cabre;Ernest Fontich;Rafael De La Llave

  • The parameterization method for invariant manifolds III: overview and applications

    Xavier Cabré;Ernest Fontich;Rafael de la Llave

  • The parameterization method for invariant manifolds II: regularity with respect to parameters

    Xavier Cabre;Ernest Fontich;Rafael De La Llave

  • Canonical perturbation theory of Anosov systems, and regularity results for the Livsic cohomology equation

    Unknown

  • Canonical perturbation theory of Anosov systems and regularity results for the Livsic cohomology equation

    Unknown

  • A Geometric Mechanism for Diffusion in Hamiltonian Systems Overcoming the Large Gap Problem: Heuristics And Rigorous Verification on a Model

    Amadeu Delshams;Rafael de la Llave;Tere M. Seara

  • Relativistic Stability of Matter - I

    Charles L. Fefferman;Rafael de la Llave

  • A Geometric Approach to the Existence of Orbits with Unbounded Energy in Generic Periodic Perturbations by a Potential of Generic Geodesic Flows of ? 2}

    Amadeu Delshams;Rafael de la Llave;Tere M. Seara

  • A Parameterization Method for the Computation of Invariant Tori and Their Whiskers in Quasi-Periodic Maps: Explorations and Mechanisms for the Breakdown of Hyperbolicity

    Unknown

  • GEOMETRIC PROPERTIES OF THE SCATTERING MAP OF A NORMALLY HYPERBOLIC INVARIANT MANIFOLD

    Amadeu Delshams;Rafael de la Llave;Tere M. Seara

  • A parameterization method for the computation of invariant tori andtheir whiskers in quasi-periodic maps: Numerical algorithms

    Àlex Haro;Rafael de la Llave

  • A KAM theory for conformally symplectic systems: Efficient algorithms and their validation

    Renato C. Calleja;Alessandra Celletti;Rafael de la Llave

  • KAM theory and a partial justification of Greene's criterion for nontwist maps

    Amadeu Delshams;Rafael de la Llave

  • Planelike minimizers in periodic media

    Luis A. Caffarelli;Rafael de la Llave

  • Regularity of the composition operator in spaces of Hölder functions

    Rafael De La Llave;R. Obaya

  • Invariants for smooth conjugacy of hyperbolic dynamical systems II

    Unknown

  • Computation of limit cycles and their isochrons: Fast algorithms and their convergence

    Gemma Huguet;Rafael de la Llave

  • A rigorous partial justification of Greene's criterion

    Corrado Falcolini;Rafael de la Llave

  • A numerically accessible criterion for the breakdown of quasi-periodic solutions and its rigorous justification

    Renato Calleja;Rafael de la Llave

  • On Squirt Singularities in Hydrodynamics

    Diego Córdoba;Charles Louis Fefferman;Rafael De La Llave

  • On Irwin’s proof of the pseudostable manifold theorem

    Rafael de la Llave;C. Eugene Wayne

  • TOPOLOGICAL METHODS IN THE INSTABILITY PROBLEM OF HAMILTONIAN SYSTEMS

    Marian Gidea;Rafael De La Llave

  • Construction of invariant whiskered tori by a parameterization method. Part I: Maps and flows in finite dimensions

    Ernest Fontich;Rafael de la Llave;Yannick Sire

  • Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows

    Amadeu Delshams;Rafael de la Llave;Tere M. Seara

  • Smooth Ergodic Theory and Its Applications

    Anatole Katok;Rafael de la Llave;Yakov Pesin;Howard Weiss

Frequent Co-Authors

Enrico Valdinoci
Enrico Valdinoci University of Western Australia
Xavier Cabré
Xavier Cabré Universitat Politècnica de Catalunya
Luis A. Caffarelli
Luis A. Caffarelli The University of Texas at Austin
C. Eugene Wayne
C. Eugene Wayne Boston University
Ioannis G. Kevrekidis
Ioannis G. Kevrekidis Johns Hopkins University
Charles Fefferman
Charles Fefferman Princeton University
Linda R. Petzold
Linda R. Petzold University of California, Santa Barbara
Anatole Katok
Anatole Katok Pennsylvania State University
Carles Simó
Carles Simó University of Barcelona
Wassim M. Haddad
Wassim M. Haddad Georgia Institute of Technology

External Links

Personal website of Rafael de la Llave Google Scholar page

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Best Scientists Citing Rafael de la Llave

Enrico Valdinoci

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Publications: 34

James D. Meiss

James D. Meiss

University of Colorado Boulder

Publications: 18

George Haller

George Haller

ETH Zurich

Publications: 16

Dmitry Turaev

Dmitry Turaev

Imperial College London

Publications: 15

Dongho Chae

Dongho Chae

Chung-Ang University

Publications: 14

Elliott H. Lieb

Elliott H. Lieb

Princeton University

Publications: 13

Andrea Braides

Andrea Braides

University of Rome Tor Vergata

Publications: 13

Paul H. Rabinowitz

Paul H. Rabinowitz

University of Wisconsin–Madison

Publications: 11

V. V. Dodonov

V. V. Dodonov

University of Brasília

Publications: 10

Matteo Novaga

Matteo Novaga

University of Pisa

Publications: 9

Philip Morrison

Philip Morrison

The University of Texas at Austin

Publications: 7

Luis A. Caffarelli

Luis A. Caffarelli

The University of Texas at Austin

Publications: 7

Hinke M. Osinga

Hinke M. Osinga

University of Auckland

Publications: 7

Stephen Wiggins

Stephen Wiggins

University of Bristol

Publications: 6

Jan Philip Solovej

Jan Philip Solovej

University of Copenhagen

Publications: 6

Bernd Krauskopf

Bernd Krauskopf

University of Auckland

Publications: 6

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