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Alfred Geroldinger

Alfred Geroldinger

Alfred Geroldinger 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 Alfred Geroldinger 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+

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

Alfred Geroldinger 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 Alfred Geroldinger 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+

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

Overview

Alfred Geroldinger is affiliated with the University of Graz in Austria. Their research activity spans across Mathematics and Computer Science, with a substantial focus on Algebra and Number Theory as well as Computational Theory and Mathematics. They have contributed to multiple subfields including Geometry and Topology, Artificial Intelligence, and Management Science and Operations Research.

The main topics covered by their body of work include Rings, Modules, and Algebras; Commutative Algebra and Its Applications; Advanced Algebra and Logic; Advanced Topology and Set Theory; semigroups and automata theory; Algebraic structures and combinatorial models; and Algebraic Geometry and Number Theory.

Geroldinger's recent papers reflect a consistent focus on algebraic structures and factorization theory. Notable publications are:

  • Factorization theory in commutative monoids (2020), published in Semigroup Forum
  • On the arithmetic of monoids of ideals (2022), published in Arkiv för matematik
  • On strongly primary monoids, with a focus on Puiseux monoids (2020), published in Journal of Algebra
  • On product-one sequences over dihedral groups (2020), published in Journal of Algebra and Its Applications
  • A characterization of length-factorial Krull monoids (2021), published in arXiv (Cornell University)

Their publication record includes a significant presence in arXiv, with 14 papers, alongside contributions to the Israel Journal of Mathematics, Communications in Algebra, Semigroup Forum, and Journal of Algebra.

Geroldinger has collaborated frequently with Qinghai Zhong, Andreas Reinhart, Franz Halter-Koch, Felix Gotti, and Aqsa Bashir. The counts of coauthored works indicate ongoing collaborative research efforts within the algebraic and number theory communities.

In addition to articles, Geroldinger has authored a book titled Advances in Rings, Modules and Factorizations, published by Springer International Publishing in 2020.

Best Publications

  • Non-Unique Factorizations : Algebraic, Combinatorial and Analytic Theory

    Alfred Geroldinger;Franz Halter-Koch

  • Non-unique factorizations

    Alfred Geroldinger

  • Zero-sum problems in finite abelian groups: A survey

    Weidong Gao;Alfred Geroldinger

  • Combinatorial Number Theory and Additive Group Theory

    Alfred Geroldinger;Imre Z. Ruzsa

  • On Davenport's constant

    Alfred Geroldinger;Rudolf Schneider

  • Sets of Lengths

    Alfred Geroldinger

  • On Long Minimal Zero Sequences in Finite Abelian Groups

    Weidong Gao;Alfred Geroldinger

  • Über nicht-eindeutige Zerlegungen in irreduzible Elemente

    Alfred Geroldinger

  • Zero-sum problems in finite abelian groups and affine caps

    Yves Edel;Christian Elsholtz;Alfred Geroldinger;Silke Kubertin

  • On products of k atoms

    Weidong Gao;Alfred Geroldinger

  • Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids

    Víctor Blanco;Pedro A. García-Sánchez;Alfred Geroldinger

  • Local tameness of v-noetherian monoids

    Alfred Geroldinger;Wolfgang Hassler

  • Factorization theory in commutative monoids

    Alfred Geroldinger;Qinghai Zhong

  • The Interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics

    Kálmán Sándor Cziszter;Mátyás Domokos;A. Geroldinger

  • Inverse zero-sum problems III

    Weidong Gao;Alfred Geroldinger;David J. Grynkiewicz

  • Inverse zero-sum problems

    Weidong Gao;Alfred Geroldinger;Wolfgang A. Schmid

  • Arithmetic of seminormal weakly Krull monoids and domains

    Alfred Geroldinger;Florian Kainrath;Andreas Reinhart

  • Arithmetic of Mori domains and monoids

    Alfred Geroldinger;Wolfgang Hassler

  • On the arithmetic of tame monoids with applications to Krull monoids and Mori domains

    Alfred Geroldinger;Florian Kainrath

  • The large Davenport constant I: Groups with a cyclic, index 2 subgroup

    Alfred Geroldinger;David J. Grynkiewicz

Frequent Co-Authors

Marco Fontana
Marco Fontana Roma Tre University

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