World's Best Scientists 2026 revealed!
Alexander Grigor'yan

Alexander Grigor'yan

D-Index & Metrics

Mathematics

D-Index
51
Citations
9214
World Ranking
1035
National Ranking
54

Alexander Grigor'yan 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 Alexander Grigor'yan 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: 158 publications — 42nd percentile

42% of scientists in this discipline score the same or lower.

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

Alexander Grigor'yan 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 Alexander Grigor'yan 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: 51 D-Index — 73rd percentile

73% of scientists in this discipline score the same or lower.

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

Overview

Alexander Grigor'yan is a researcher affiliated with Bielefeld University in Germany, with a focus on the field of Mathematics. Their work predominantly spans applied mathematics, mathematical physics, computational theory and mathematics, geometry and topology, and molecular biology.

The scientist's research covers a range of advanced mathematical topics and theories. Key themes in their publications include:

  • Geometric Analysis and Curvature Flows
  • Nonlinear Partial Differential Equations
  • Topological and Geometric Data Analysis
  • Advanced Mathematical Modeling in Engineering
  • Advanced Mathematical Theories
  • Homotopy and Cohomology in Algebraic Topology
  • Spectral Theory in Mathematical Physics

Alexander Grigor'yan has contributed to several recent academic papers, illustrating their engagement with both theoretical and applied mathematical sciences. Notable recent publications include:

  • "Path Complexes and their Homologies," 2020, Journal of Mathematical Sciences
  • "Pointwise estimates of solutions to nonlinear equations for nonlocal operators," 2020, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
  • "Anaerobic microbial communities and their potential for bioenergy production in heavily biodegraded petroleum reservoirs," 2020, Environmental Microbiology
  • "Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Elliptic Operators," 2020, Journal of Fourier Analysis and Applications
  • "Heat kernels and Besov spaces on metric measure spaces," 2022, Journal d Analyse Mathématique

The researcher frequently publishes in several scientific venues, with multiple contributions to:

  • arXiv (Cornell University)
  • Journal of Functional Analysis
  • Microbiology Resource Announcements
  • Journal of Mathematical Sciences
  • Environmental Microbiology

Collaboration is also an important aspect of Alexander Grigor'yan's profile, evident from frequent co-authorship with other scholars, including:

  • Shing-Tung Yau
  • Alexander Bendikov
  • Stanislav Molchanov
  • Yong Lin
  • Yu. V. Muranov

Overall, the scientist's work is situated at the intersection of pure and applied mathematics, with multidisciplinary applications reaching into biological and physical sciences.

Best Publications

  • Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds

    Alexander Grigor’yan

  • Heat Kernel and Analysis on Manifolds

    Alexander Grigor’yan

  • THE HEAT EQUATION ON NONCOMPACT RIEMANNIAN MANIFOLDS

    A A Grigor'yan

  • HEAT KERNEL UPPER BOUNDS ON A COMPLETE NON-COMPACT MANIFOLD

    Alexander Grigor'yan

  • Surveys in differential geometry

    Alexander Grigor'yan;Shing-Tung Yau

  • Heat kernels on metric measure spaces and an application to semilinear elliptic equations

    Alexander Grigor’yan;Jiaxin Hu;Ka-Sing Lau

  • THE HEAT KERNEL ON HYPERBOLIC SPACE

    Alexander Grigor'yan;Masakazu Noguchi

  • TWO-SIDED ESTIMATES OF HEAT KERNELS ON METRIC MEASURE SPACES

    Alexander Grigor’yan;Andras Telcs

  • Yamabe type equations on graphs

    Alexander Grigor'yan;Yong Lin;Yunyan Yang

  • Existence of positive solutions to some nonlinear equations on locally finite graphs

    Alexander Grigor’yan;Yong Lin;YunYan Yang

  • Kazdan–Warner equation on graph

    Alexander Grigor’yan;Yong Lin;Yunyan Yang

  • Estimates of heat kernels on Riemannian manifolds

    Unknown

  • Random Walks on Graphs with Regular Volume Growth

    T. Coulhon;A. Grigoryan

  • Sub-Gaussian estimates of heat kernels on infinite graphs

    Alexander Grigor'yan;Andras Telcs

  • On the equivalence of parabolic Harnack inequalities and heat kernel estimates

    Martin T. Barlow;Alexander Grigor'yan;Takashi Kumagai

  • Manifolds and graphs with slow heat kernel decay

    Martin Barlow;Thierry Coulhon;Alexander Grigor’yan

  • Eigenvalues of elliptic operators and geometric applications

    A. Grigor’yan;Y. Netrusov;S.-T. Yau

  • Stability results for Harnack inequalities

    Alexander Grigor'yan;Laurent Saloff-Coste

  • Mathematical Physics 2000

    A. S. Fokas;A. Grigoryan;T. W. B. Kibble;B. Zegarlinski

  • Heat kernel upper bounds for jump processes and the first exit time

    Martin T. Barlow;Alexander Grigor'yan;Takashi Kumagai

  • Harnack inequalities and sub-Gaussian estimates for random walks

    A. Grigor'yan;A. Telcs

  • Isotropic Markov semigroups on ultra-metric spaces

    Alexander Davidovich Bendikov;Alexander Asaturovich Grigor'Yan;Christophe Pittet;Wolfgang Woess

Frequent Co-Authors

Shing-Tung Yau
Shing-Tung Yau Tsinghua University
Thierry Coulhon
Thierry Coulhon PSL University
Laurent Saloff-Coste
Laurent Saloff-Coste Cornell University
Ka-Sing Lau
Ka-Sing Lau Chinese University of Hong Kong
Martin T. Barlow
Martin T. Barlow University of British Columbia
Fan Chung
Fan Chung University of California, San Diego
Nikolai Nadirashvili
Nikolai Nadirashvili Aix-Marseille University
Michael Röckner
Michael Röckner Bielefeld University
Peter B. Gilkey
Peter B. Gilkey University of Oregon
Wolfgang Woess
Wolfgang Woess Graz University of Technology

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