World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
46
Citations
6552
World Ranking
1396
National Ranking
20

Carsten Schneider 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 Carsten Schneider 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: 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.

Carsten Schneider 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 Carsten Schneider 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: 46 D-Index — 64th percentile

64% of scientists in this discipline score the same or lower.

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

Overview

Carsten Schneider is affiliated with Johannes Kepler University of Linz in Austria. Their research work spans across several interconnected scientific disciplines including Physics and Astronomy, Computer Science, and Mathematics, with particular emphasis on subfields such as Nuclear and High Energy Physics, Computational Theory and Mathematics, and Algebra and Number Theory.

The primary research areas explored by Schneider encompass Particle physics theoretical and experimental studies, Quantum Chromodynamics and Particle Interactions, Black Holes and Theoretical Physics, Polynomial and algebraic computation, Advanced Mathematical Identities, Algebraic and Geometric Analysis, and Mathematical functions and polynomials.

Frequent coauthors in Schneider's work include J. Blümlein, Kay Schönwald, Jakob Ablinger, A. Freitas, and Peter Marquard. These collaborations have contributed significantly to publications across various journals and research venues.

Publication venues with notable contributions from Schneider are diverse and include:

  • arXiv (Cornell University)
  • Nuclear Physics B
  • Journal of High Energy Physics
  • Journal of Symbolic Computation
  • Physical Review D

Recent papers authored in the last few years highlight a focus on operator matrix elements and Wilson coefficients within high-energy physics contexts. These include:

  • The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements, 2021, Nuclear Physics B
  • The SAGEX review on scattering amplitudes, 2022, Journal of Physics A Mathematical and Theoretical
  • The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements, 2022, Journal of High Energy Physics
  • The massless three-loop Wilson coefficients for the deep-inelastic structure functions F2, FL, xF3 and g1, 2022, Journal of High Energy Physics
  • The three-loop single mass polarized pure singlet operator matrix element, 2020, Nuclear Physics B

Schneider has also contributed to academic books published by Springer Vienna, including:

  • Anti-Differentiation and the Calculation of Feynman Amplitudes, 2021
  • Algorithmic Combinatorics: Enumerative Combinatorics, Special Functions and Computer Algebra, 2020

Throughout their career, Schneider's research output has centered on mathematical frameworks and computational techniques applicable to fundamental questions in particle physics and related mathematical domains. The blend of physics, mathematics, and computer science in their work reflects a multidisciplinary approach to addressing complex scientific problems. The publication record and frequent collaborations indicate sustained engagement with the nuclear and high-energy physics research community.

Best Publications

  • Harmonic sums and polylogarithms generated by cyclotomic polynomials

    Jakob Ablinger;Johannes Blümlein;Carsten Schneider

  • Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms

    Jakob Ablinger;Johannes Blümlein;Carsten Schneider

  • Symbolic summation assists combinatorics.

    Carsten Schneider

  • Iterated binomial sums and their associated iterated integrals

    J. Ablinger;J. Blümlein;Clemens G. Raab;C. Schneider

  • Solving parameterized linear difference equations in terms of indefinite nested sums and products

    Carsten Schneider

  • Simplifying Multiple Sums in Difference Fields

    Carsten Schneider

  • The O(lpha_s^3) Massive Operator Matrix Elements of O(n_f) for the Structure Function F_2(x,Q^2) and Transversity

    J. Ablinger;J. Blümlein;S. Klein;C. Schneider

  • Two-Loop Massive Operator Matrix Elements for Unpolarized Heavy Flavor Production to O(ǫ)

    Isabella Bierenbaum;Johannes Blümlein;Sebastian Klein;Carsten Schneider

  • Calculating three loop ladder and V-topologies for massive operator matrix elements by computer algebra

    J. Ablinger;A. Behring;J. Blümlein;A. De Freitas

  • Computer proofs of a new family of harmonic number identities

    Peter Paule;Carsten Schneider

  • The 3-loop pure singlet heavy flavor contributions to the structure function F2(x,Q2) and the anomalous dimension

    J. Ablinger;A. Behring;J. Blümlein;A. De Freitas

  • Iterated elliptic and hypergeometric integrals for Feynman diagrams

    J. Ablinger;J. Blümlein;A. De Freitas;M. van Hoeij

  • The 3-loop non-singlet heavy flavor contributions and anomalous dimensions for the structure function F2(x,Q2) and transversity

    J. Ablinger;A. Behring;J. Blümlein;A. De Freitas

  • A refined difference field theory for symbolic summation

    Carsten Schneider

  • Parameterized Telescoping Proves Algebraic Independence of Sums

    Carsten Schneider

  • Calculating massive 3-loop graphs for operator matrix elements by the method of hyperlogarithms

    Jakob Ablinger;Johannes Blümlein;Clemens Raab;Carsten Schneider

  • Automated solution of first order factorizable systems of differential equations in one variable

    J. Ablinger;J. Blümlein;P. Marquard;N. Rana

  • The transition matrix element Agq(N) of the variable flavor number scheme at O(αs3)

    J. Ablinger;J. Blümlein;A. De Freitas;A. Hasselhuhn

  • The O(αs3nfTF2CA,F) contributions to the gluonic massive operator matrix elements

    Johannes Blümlein;Alexander Hasselhuhn;Sebastian Klein;Carsten Schneider

  • The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements

    Johannes Blümlein;Peter Marquard;Carsten Schneider;Kay Schönwald

  • Determining the closed forms of the O (a s 3 ) anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra

    Johannes Blümlein;Manuel Kauers;Sebastian Klein;Carsten Schneider

Frequent Co-Authors

Helmut Prodinger
Helmut Prodinger Stellenbosch University
Robin Pemantle
Robin Pemantle University of Pennsylvania
Howard M. Weiss
Howard M. Weiss Georgia Institute of Technology
Christian Krattenthaler
Christian Krattenthaler University of Vienna
George E. Andrews
George E. Andrews Pennsylvania State University
Wadim Zudilin
Wadim Zudilin Radboud University

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