World's Best Scientists 2026 revealed!
Mariano Santander

Mariano Santander

D-Index & Metrics

Mathematics

D-Index
34
Citations
4164
World Ranking
2943
National Ranking
65

Mariano Santander 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 Mariano Santander 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: 136 publications — 30th percentile

30% of scientists in this discipline score the same or lower.

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

Mariano Santander 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 Mariano Santander 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: 34 D-Index — 21st percentile

21% of scientists in this discipline score the same or lower.

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

Overview

Mariano Santander is affiliated with the University of Valladolid in Spain. Their research is focused in the broad area of Physics and Astronomy, with significant contributions in subfields including Statistical and Nonlinear Physics, Atomic and Molecular Physics and Optics, as well as Applied Mathematics.

The scientist's work primarily spans several interconnected topics:

  • Quantum Mechanics and Non-Hermitian Physics
  • Quantum chaos and dynamical systems
  • Nonlinear Waves and Solitons
  • Algebraic and Geometric Analysis

Mariano Santander has frequently collaborated with other researchers in the field. The most frequent co-authors include:

  • José F. Cariñena
  • Manuel F. Rañada

The scientist's recent papers have been published in venues that are common outlets for theoretical and mathematical physics research. The main publication venues for Mariano Santander's work include:

  • Journal of Physics A Mathematical and Theoretical
  • arXiv (Cornell University)

Recent papers authored or co-authored by Mariano Santander feature studies on the superintegrability of Hamiltonian systems and curved spaces. These papers include:

  • Superintegrability of three-dimensional Hamiltonian systems with conformally Euclidean metrics. Oscillator-related and Kepler-related systems (2021, Journal of Physics A Mathematical and Theoretical)
  • Superintegrability on the three-dimensional spaces with curvature. Oscillator-related and Kepler-related systems on the sphere S 3 and on the hyperbolic space H 3 (2021, Journal of Physics A Mathematical and Theoretical)
  • Superintegrability of 3-dimensional Hamiltonian systems with conformally Euclidean metrics. Oscillator-related and Kepler-related systems (2021, arXiv)
  • Superintegrability on the 3-dimensional spaces with curvature. Oscillator-related and Kepler-related systems on the Sphere S3 and on the Hyperbolic space H3 (2021, arXiv)

Best Publications

  • Superintegrable systems on the two-dimensional sphere S2 and the hyperbolic plane H2

    Manuel F. Rañada;Mariano Santander

  • Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere S2 and the hyperbolic plane H2

    José F. Cariñena;Manuel F. Rañada;Mariano Santander

  • A non-linear oscillator with quasi-harmonic behaviour: two- and n-dimensional oscillators

    José F Cariñena;Manuel F Rañada;Mariano Santander;Murugaian Senthilvelan

  • A Quantum Exactly Solvable Nonlinear Oscillator with quasi-Harmonic Behaviour

    José F. Cariñena;Manuel F. Rañada;Mariano Santander

  • A quantum exactly solvable non-linear oscillator with quasi-harmonic behaviour

    José F. Cariñena;Manuel F. Rañada;Mariano Santander

  • A quantum exactly solvable non-linear oscillator related with the isotonic oscillator

    J.F. Cariñena;A.M. Perelomov;M.F. Rañada;M. Santander

  • Lagrangian formalism for nonlinear second-order Riccati systems: One-dimensional integrability and two-dimensional superintegrability

    José F. Cariñena;Manuel F. Rañada;Mariano Santander

  • A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator

    J F Cariñena;A M Perelomov;M F Rañada;M Santander

  • One-dimensional model of a quantum nonlinear harmonic oscillator

    José F. Cariñena;Manuel F. Rañada;Mariano Santander

  • Quantum structure of the motion groups of the two-dimensional Cayley-Klein geometries

    A Ballesteros;F J Herranz;M A del Olmo;M Santander

  • A new “null-plane” quantum Poincaré algebra

    A. Ballesteros;F.J. Herranz;M.A. del Olmo;M. Santander

  • The quantum harmonic oscillator on the sphere and the hyperbolic plane

    José F. Cariñena;Manuel F. Rañada;Mariano Santander

  • Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere $S^2$ and the hyperbolic plane $H^2$

    José F. Cariñena;Manuel F. Rañada;Mariano Santander

  • On harmonic oscillators on the two-dimensional sphere S2 and the hyperbolic plane H2. II.

    Manuel F. Rañada;Mariano Santander

  • Maximal superintegrability on N-dimensional curved spaces

    Angel Ballesteros;Francisco J Herranz;Mariano Santander;Teresa Sanz-Gil

  • Trigonometry of spacetimes: a new self-dual approach to a curvature/signature (in)dependent trigonometry

    Francisco J Herranz;Ramón Ortega;Mariano Santander

  • Conformal compactification and cycle-preserving symmetries of spacetimes

    Francisco J. Herranz;Mariano Santander

  • Lie bialgebra contractions and quantum deformations of quasi-orthogonal algebras

    A. Ballesteros;N. A. Gromov;F. J. Herranz;M. A. del Olmo

  • Four‐dimensional quantum affine algebras and space–time q‐symmetries

    A. Ballesteros;F. J. Herranz;M. A. del Olmo;M. Santander

  • Conformal symmetries of spacetimes

    Francisco J Herranz;Mariano Santander

  • 4D Quantum Affine Algebras and Space--Time q-Symmetries

    A. Ballesteros;F. J. Herranz;M. A. del Olmo;M. Santander

Frequent Co-Authors

José F. Cariñena
José F. Cariñena University of Zaragoza
Francisco J. Herranz
Francisco J. Herranz University of Burgos
Angel Ballesteros
Angel Ballesteros University of Burgos
J. A. de Azcárraga
J. A. de Azcárraga University of Valencia
Orlando Ragnisco
Orlando Ragnisco Roma Tre University

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