World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
31
Citations
3101
World Ranking
3394
National Ranking
22

Marian Mrozek 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 Marian Mrozek 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: 122 publications — 22nd percentile

22% of scientists in this discipline score the same or lower.

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

Marian Mrozek 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 Marian Mrozek 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: 31 D-Index — 9th percentile

9% of scientists in this discipline score the same or lower.

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

Overview

Marian Mrozek is an academic affiliated with Jagiellonian University in Poland. The researcher has contributed extensively to the fields of Computer Science and Mathematics, with a particular focus on Computational Theory and Mathematics, Mathematical Physics, Spectroscopy, Statistical and Nonlinear Physics, and Discrete Mathematics and Combinatorics.

The research topics covered by Marian Mrozek include:

  • Topological and Geometric Data Analysis
  • Homotopy and Cohomology in Algebraic Topology
  • Mathematical Dynamics and Fractals
  • Molecular spectroscopy and chirality
  • Quantum chaos and dynamical systems
  • Advanced Combinatorial Mathematics
  • Numerical methods for differential equations

A selection of recent papers authored or co-authored by Marian Mrozek demonstrates involvement in the development of mathematical and computational tools:

  • "CAPD::DynSys: A flexible C++ toolbox for rigorous numerical analysis of dynamical systems" (2020), published in Communications in Nonlinear Science and Numerical Simulation
  • "Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces" (2022), published in Journal of Applied and Computational Topology
  • "Creating Semiflows on Simplicial Complexes from Combinatorial Vector Fields" (2020), published on arXiv (Cornell University)
  • "Computing Connection Matrices via Persistence-Like Reductions" (2024), published in SIAM Journal on Applied Dynamical Systems
  • "Conley Index for Multivalued Maps on Finite Topological Spaces" (2024), published in Foundations of Computational Mathematics

Frequent co-authors in the researcher's collaborations include Thomas Wanner, Michał Lipiński, Tamal K. Dey, Ryan Slechta, and Mateusz Przybylski.

The publication venues where Marian Mrozek has frequently published consist of:

  • arXiv (Cornell University)
  • SIAM Journal on Applied Dynamical Systems
  • Communications in Nonlinear Science and Numerical Simulation
  • Journal of Applied and Computational Topology
  • Leibniz-Zentrum für Informatik (Schloss Dagstuhl)

In addition to research articles, Marian Mrozek has authored a book titled Connection Matrices in Combinatorial Topological Dynamics, which is expected to be published by Springer International Publishing in 2025.

Best Publications

  • Chaos in the Lorenz equations: a computer-assisted proof

    Konstantin Mischaikow;Marian Mrozek

  • Construction of symbolic dynamics from experimental time series

    K. Mischaikow;M. Mrozek;J. Reiss;A. Szymczak

  • Leray functor and cohomological Conley index for discrete dynamical systems

    Marian Mrozek

  • Homology computation by reduction of chain complexes

    T. Kaczyński;M. Mrozek;M. Ślusarek

  • Chaos in the Lorenz equators: a computer assisted proof. part II: details

    Konstantin Mischaikow;Marian Mrozek;Marian Mrozek

  • Isolating Neighborhoods and Chaos

    Konstantin Mischaikow;Marian Mrozek

  • Chapter 9 – Conley Index

    Konstantin Mischaikow;Marian Mrozek

  • Coreduction Homology Algorithm

    Marian Mrozek;Bogdan Batko

  • Conley index for discrete multi-valued dynamical systems

    T. Kaczynski;M. Mrozek

  • Discrete Morse Theoretic Algorithms for Computing Homology of Complexes and Maps

    Shaun Harker;Konstantin Mischaikow;Marian Mrozek;Vidit Nanda

  • Chaos in the Lorenz Equations: A Computer Assisted Proof Part III: Classical Parameter Values

    Konstantin Mischaikow;Marian Mrozek;Andrzej Szymczak

  • Homology algorithm based on acyclic subspace

    Marian Mrozek;Paweł Pilarczyk;Natalia Żelazna

  • CAPD::DynSys: a flexible C++ toolbox for rigorous numerical analysis of dynamical systems

    Tomasz Kapela;Marian Mrozek;Daniel Wilczak;Piotr Zgliczyński

  • Graph Approach to the Computation of the Homology of Continuous Maps

    Konstantin Mischaikow;Marian Mrozek;Pawel Pilarczyk

  • Distributed computation of coverage in sensor networks by homological methods

    P. Dłotko;R. Ghrist;M. Juda;M. Mrozek

  • Topological invariants, mulitvalued maps and computer assisted proofs in dynamics

    M. Mrozek;M. Mrozek

  • Zeta functions, periodic trajectories, and the conley index

    Christopher McCord;Konstantin Mischaikow;Marian Mrozek;Marian Mrozek

  • Coreduction homology algorithm for inclusions and persistent homology

    Marian Mrozek;Thomas Wanner

  • Shape index and other indices of Conley type for local maps on locally compact Hausdorff spaces

    Marian Mrozek

  • The Persistent Homology of a Self-Map

    Herbert Edelsbrunner;Grzegorz Jabłoński;Marian Mrozek

  • Set arithmetic and the enclosing problem in dynamics

    Marian Mrozek;Piotr Zgliczyński

Frequent Co-Authors

Konstantin Mischaikow
Konstantin Mischaikow Rutgers, The State University of New Jersey
Tamal K. Dey
Tamal K. Dey Purdue University West Lafayette
Herbert Edelsbrunner
Herbert Edelsbrunner Institute of Science and Technology Austria
Robert Ghrist
Robert Ghrist University of Pennsylvania

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For those studying Mathematics in the USA, exploring related online degrees can open diverse career opportunities. Many students pursue degrees that complement math skills, such as finance, marketing, or business administration. For instance, the cheapest online masters in finance offer an affordable pathway to roles in financial analysis and investment.

Business professionals often look for accelerated options to enhance their qualifications. Programs like the shortest mba program online can help graduates quickly gain leadership skills while continuing to work.

Digital marketing is another growing field where analytical and quantitative skills are valuable. Earning a masters in digital marketing online offers a practical blend of creativity and data-driven strategy for those interested in business growth and brand management.

For individuals seeking an intensive business credential, the one year mba is highly regarded. It allows students to quickly pivot into senior management roles with a strong foundation in finance, marketing, and operations.

Best Scientists Citing Marian Mrozek

Trending Scientists