World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
34
Citations
4414
World Ranking
2931
National Ranking
192

Christoph Ortner 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 Christoph Ortner 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: 159 publications — 43rd percentile

43% of scientists in this discipline score the same or lower.

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

Christoph Ortner 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 Christoph Ortner 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

Christoph Ortner is affiliated with the University of Warwick in the United Kingdom. Their research primarily spans the field of Materials Science, with a significant focus on Materials Chemistry.

Their work encompasses several subfields, including:

  • Materials Chemistry
  • Atomic and Molecular Physics, and Optics
  • Computational Theory and Mathematics
  • Molecular Biology
  • Statistical and Nonlinear Physics

Ortner's research covers major topics such as:

  • Machine Learning in Materials Science
  • X-ray Diffraction in Crystallography
  • Protein Structure and Dynamics
  • Computational Drug Discovery Methods
  • Advanced Chemical Physics Studies
  • Electron and X-Ray Spectroscopy Techniques
  • Advanced NMR Techniques and Applications

Their recent publications include:

  • "MACE: Higher Order Equivariant Message Passing Neural Networks for Fast and Accurate Force Fields" (2022), published in arXiv (Cornell University)
  • "A foundation model for atomistic materials chemistry" (2023), published in arXiv (Cornell University)
  • "Performant implementation of the atomic cluster expansion (PACE) and application to copper and silicon" (2021), published in npj Computational Materials
  • "Incompleteness of Atomic Structure Representations" (2020), published in Physical Review Letters
  • "Atomic cluster expansion: Completeness, efficiency and stability" (2022), published in Journal of Computational Physics

The scientist frequently publishes in venues including:

  • arXiv (Cornell University)
  • Machine Learning Science and Technology
  • Multiscale Modeling and Simulation
  • Zenodo (CERN European Organization for Nuclear Research)
  • npj Computational Materials

Frequent collaborators in their work include:

  • Gábor Cśanyi
  • Yangshuai Wang
  • James R. Kermode
  • Gábor Csányi
  • Huajie Chen

Best Publications

  • Physics-Inspired Structural Representations for Molecules and Materials.

    Felix Musil;Andrea Grisafi;Albert P. Bartók;Christoph Ortner

  • Performant implementation of the atomic cluster expansion (PACE) and application to copper and silicon

    Yury Lysogorskiy;Cas van der Oord;Anton Bochkarev;Sarath Menon

  • Incompleteness of Atomic Structure Representations.

    Sergey N Pozdnyakov;Michael J Willatt;Albert P Bartók;Christoph Ortner

  • An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture

    Siobhan Burke;Christoph Ortner;Endre Süli

  • EXISTENCE OF SOLUTIONS TO A REGULARIZED MODEL OF DYNAMIC FRACTURE

    Christopher J. Larsen;Christoph Ortner;Endre Süli

  • Compact embeddings of broken Sobolev spaces and applications

    Annalisa Buffa;Christoph Ortner

  • Atomic Cluster Expansion: Completeness, Efficiency and Stability

    Markus Bachmayr;Gabor Csanyi;Ralf Drautz;Genevieve Dusson

  • Atomistic-to-continuum coupling

    Mitchell Barry Luskin;Christoph Ortner

  • Regularised atomic body-ordered permutation-invariant polynomials for the construction of interatomic potentials

    Cas van der Oord;Geneviève Dusson;Gábor Csányi;Christoph Ortner

  • Linear Atomic Cluster Expansion Force Fields for Organic Molecules: Beyond RMSE.

    Dávid Péter Kovács;Cas van der Oord;Jiri Kucera;Alice E. A. Allen

  • Analysis of boundary conditions for crystal defect atomistic simulations

    V. Ehrlacher;Christoph Ortner;A. V. Shapeev

  • An adaptive finite element approximation of a generalized Ambrosio-Tortorelli functional

    Siobhan Burke;Christoph Ortner;Endre Süli

  • QUASI-STATIC CRACK PROPAGATION BY GRIFFITH'S CRITERION

    Matteo Negri;Christoph Ortner

  • Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems

    Christoph Ortner;Endre Süli

  • Stability, Instability, and Error of the Force-based Quasicontinuum Approximation

    Matthew Dobson;Mitchell Barry Luskin;Christoph Ortner

  • Robust A Priori and A Posteriori Error Analysis for the Approximation of Allen-Cahn and Ginzburg-Landau Equations Past Topological Changes

    Sören Bartels;Rüdiger Müller;Christoph Ortner

  • ANALYSIS OF A QUASICONTINUUM METHOD IN ONE DIMENSION

    Christoph Ortner;Endre Süli

  • Accuracy of quasicontinuum approximations near instabilities

    Matthew Dobson;Mitchell Barry Luskin;Christoph Ortner

  • A priori and a posteriori analysis of the quasinonlocal quasicontinuum method in 1D

    Christoph Ortner

  • Sharp stability estimates for the force-based quasicontinuum approximation of homogeneous tensile deformation

    Matthew Dobson;Mitchell Barry Luskin;Christoph Ortner

  • Construction and Sharp Consistency Estimates for Atomistic/Continuum Coupling Methods with General Interfaces: A Two-Dimensional Model Problem

    Christoph Ortner;Lei Zhang

  • Justification of the Cauchy–Born Approximation of Elastodynamics

    Christoph Ortner;Florian Theil

  • Linear Atomic Cluster Expansion Force Fields forOrganic Molecules: beyond RMSE

    David Peter Kovacs;Cas van der Oord;Jiri Kucera;Alice Allen

Frequent Co-Authors

Mitchell Luskin
Mitchell Luskin University of Minnesota
Gábor Csányi
Gábor Csányi University of Cambridge
Endre Süli
Endre Süli University of Oxford
Nicholas I. M. Gould
Nicholas I. M. Gould Rutherford Appleton Laboratory
Michele Ceriotti
Michele Ceriotti École Polytechnique Fédérale de Lausanne
Chris J. Pickard
Chris J. Pickard University of Cambridge
Harold S. Park
Harold S. Park Boston University
Dahua Lin
Dahua Lin Chinese University of Hong Kong
Annalisa Buffa
Annalisa Buffa École Polytechnique Fédérale de Lausanne

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