World's Best Scientists 2026 revealed!
Christian Krattenthaler

Christian Krattenthaler

D-Index & Metrics

Mathematics

D-Index
34
Citations
5557
World Ranking
2898
National Ranking
37

Christian Krattenthaler publications per year

1979: 1 publications 1980: 0 publications 1981: 0 publications 1982: 0 publications 1983: 0 publications 1984: 1 publications 1985: 0 publications 1986: 0 publications 1987: 0 publications 1988: 1 publications 1989: 4 publications 1990: 3 publications 1991: 0 publications 1992: 0 publications 1993: 2 publications 1994: 1 publications 1995: 8 publications 1996: 9 publications 1997: 6 publications 1998: 7 publications 1999: 6 publications 2000: 9 publications 2001: 6 publications 2002: 7 publications 2003: 8 publications 2004: 7 publications 2005: 8 publications 2006: 9 publications 2007: 6 publications 2008: 7 publications 2009: 10 publications 2010: 7 publications 2011: 8 publications 2012: 4 publications 2013: 5 publications 2014: 6 publications 2015: 8 publications 2016: 6 publications 2017: 6 publications 2018: 7 publications 2019: 9 publications 2020: 5 publications 2021: 7 publications 2022: 2 publications 2023: 5 publications 2024: 4 publications 2025: 8 publications
1979 2025

223 publications in total across all disciplines

Christian Krattenthaler publication distribution in Mathematics in 2027

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2027. The highlighted bar marks where Christian Krattenthaler 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: 200 publications — 62nd percentile

62% of scientists in this discipline score the same or lower.

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

Christian Krattenthaler D-index placement in Mathematics in 2027

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2027. The highlighted bar marks where Christian Krattenthaler 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.

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2011 - Member of Academia Europaea
  • 2007 - Wittgenstein Award

Overview

Christian Krattenthaler is affiliated with the University of Vienna in Austria. Their research spans mainly the field of Mathematics, with a particular focus on subfields including Algebra and Number Theory, Discrete Mathematics and Combinatorics, Applied Mathematics, Geometry and Topology, and Computational Theory and Mathematics.

The topics of their research work include:

  • Advanced Combinatorial Mathematics
  • Advanced Mathematical Identities
  • Mathematical functions and polynomials
  • Algebraic structures and combinatorial models
  • Analytic Number Theory Research
  • Polynomial and algebraic computation
  • Graph theory and CDMA systems

Krattenthaler has published extensively, with notable recent papers such as:

  • The rank enumeration of certain parabolic non-crossing partitions, 2022, Algebraic Combinatorics
  • Was der h-Index wirklich aussagt, 2021, Mitteilungen der Deutschen Mathematiker-Vereinigung

Frequently contributing to several publication venues, they have appeared predominantly in:

  • arXiv (Cornell University)
  • Mitteilungen der Deutschen Mathematiker-Vereinigung
  • The Ramanujan Journal
  • Algebraic Combinatorics
  • Constructive Approximation

Christian Krattenthaler has collaborated regularly with co-authors including Johann Cigler, Christoph Koutschan, Michael J. Schlosser, JiSun Huh, and Jang Soo Kim.

In addition to journal publications, Krattenthaler has authored a book titled Lattice Path Combinatorics and Interactions, published in 2024 by the Centre National de la Recherche Scientifique.

Their contributions have been recognized through awards and honors such as:

  • Fellow of the American Mathematical Society, 2013
  • Member of Academia Europaea, 2011
  • Wittgenstein Award, 2007

Best Publications

  • ADVANCED DETERMINANT CALCULUS

    Christian Krattenthaler

  • Advanced Determinant Calculus: A Complement

    Christian Krattenthaler

  • Permutations with Restricted Patterns and Dyck Paths

    C. Krattenthaler

  • Growth diagrams, and increasing and decreasing chains in fillings of Ferrers shapes

    C. Krattenthaler

  • Vicious walkers, friendly walkers and Young tableaux: II. With a wall

    Christian Krattenthaler;Anthony J Guttmann;Xavier G Viennot

  • SUPERCONFORMAL INDICES OF THREE-DIMENSIONAL THEORIES RELATED BY MIRROR SYMMETRY

    C. Krattenthaler;V. P. Spiridonov;G. S. Vartanov

  • A new matrix inverse

    C. Krattenthaler

  • Lattice Path Enumeration

    Christian Krattenthaler

  • Cylindric Partitions

    Unknown

  • The Major Counting of Nonintersecting Lattice Paths and Generating Functions for Tableaux

    C. Krattenthaler

  • Summations for basic hypergeometric series involving a q-analogue of the digamma function

    C. Krattenthaler;H.M. Srivastava

  • GENERATING FUNCTIONS FOR PLANE PARTITIONS OF A GIVEN SHAPE

    Christian Krattenthaler

  • Enumeration of Lozenge Tilings of Hexagons with a Central Triangular Hole

    M. Ciucu;T. Eisenkölbl;C. Krattenthaler;D. Zare

  • Another Involution Principle-Free Bijective Proof of Stanley's Hook-Content Formula

    C. Krattenthaler

  • Lattice Path Proofs for Determinantal Formulas for Symplectic and Orthogonal Characters

    Markus Fulmek;Christian Krattenthaler

  • Stanley decompositions and Hilbert depth in the Koszul complex

    Winfried Bruns;Christian Krattenthaler;Jan Uliczka

  • Identities for Classical Group Characters of Nearly Rectangular Shape

    C Krattenthaler

  • Gauss sums, Jacobi sums, and p -ranks of cyclic difference sets

    Ronald Evans;Henk D. L. Hollmann;Christian Krattenthaler;Qing Xiang

  • Non-commutative Hopf algebra of formal diffeomorphisms

    Christian Brouder;Alessandra Frabetti;Christian Krattenthaler

  • Hypergéométrie et fonction zêta de Riemann

    C. Krattenthaler;T. Rivoal

  • Plane partitions II: $5 rac{1}{2}$ symmetry classes

    Mihai Ciucu;Christian Krattenthaler

Frequent Co-Authors

Winfried Bruns
Winfried Bruns Osnabrück University
Peter J. Cameron
Peter J. Cameron University of St Andrews
George E. Andrews
George E. Andrews Pennsylvania State University
G. Vanden Berghe
G. Vanden Berghe Ghent University
Anthony J. Guttmann
Anthony J. Guttmann University of Melbourne
Aldo Conca
Aldo Conca University of Genoa
Yuan Xu
Yuan Xu University of Oregon
Toufik Mansour
Toufik Mansour University of Haifa
Shmuel Friedland
Shmuel Friedland University of Illinois at Chicago
Ronald M. Evans
Ronald M. Evans Salk Institute for Biological Studies

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