World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
46
Citations
11246
World Ranking
1335
National Ranking
600

Erwin Lutwak 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 Erwin Lutwak 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: 84 publications — 4th percentile

4% of scientists in this discipline score the same or lower.

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

Erwin Lutwak 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 Erwin Lutwak 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.

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Erwin Lutwak is affiliated with the Courant Institute of Mathematical Sciences in the United States. Their research primarily spans various areas within mathematics, with a strong focus on applied mathematics.

The recent body of work by Lutwak includes publications in notable academic venues. Among these are:

  • The Gauss Image Problem, 2020, Communications on Pure and Applied Mathematics
  • Chord measures in integral geometry and their Minkowski problems, 2023, Communications on Pure and Applied Mathematics
  • BCM volume 65 issue 4 Cover and Front matter, 2022, Canadian Mathematical Bulletin

Lutwak's research interests encompass several interconnected topics. These include:

  • Point processes and geometric inequalities
  • Sparse and Compressive Sensing Techniques
  • Mathematical Approximation and Integration
  • Geometric Analysis and Curvature Flows
  • Diffusion and Search Dynamics

Their work contributes to subfields such as applied mathematics, computational mechanics, numerical analysis, and extends into molecular biology. The blend of these subfields reflects the interdisciplinary nature of their research.

Collaboration features prominently in Lutwak's career. Frequent coauthors include Deane Yang, Gaoyong Zhang, Károly J. Böröczky, Yiming Zhao, and Dongmeng Xi. This network supports a diverse and cooperative research environment.

Lutwak has published several articles in leading mathematics journals. The dominant venues for their publications are:

  • Communications on Pure and Applied Mathematics
  • Canadian Mathematical Bulletin

In recognition of contributions to mathematics, Lutwak was named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • The Brunn-Minkowski-Firey theory. I. Mixed volumes and the Minkowski problem

    Erwin Lutwak

  • The Brunn–Minkowski–Firey Theory II: Affine and Geominimal Surface Areas

    Erwin Lutwak

  • Lp Affine Isoperimetric Inequalities

    Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • Intersection bodies and dual mixed volumes

    Erwin Lutwak

  • Dual mixed volumes.

    Erwin Lutwak

  • The logarithmic Minkowski problem

    Károly J. Böröczky;Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • Blaschke-Santaló inequalities

    Erwin Lutwak;Gaoyong Zhang

  • Sharp Affine LP Sobolev Inequalities

    Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • On the _{}-Minkowski problem

    Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • The log-Brunn-Minkowski inequality

    Károly J. Böröczky;Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • The even Orlicz-Minkowski problem

    Christoph Haberl;Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • Centroid Bodies and Dual Mixed Volumes

    Erwin Lutwak

  • Orlicz centroid bodies

    Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • Orlicz projection bodies

    Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • Geometric measures in the dual Brunn–Minkowski theory and their associated Minkowski problems

    Yong Huang;Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • A new ellipsoid associated with convex bodies

    Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • On the regularity of solutions to a generalization of the Minkowski problem

    Erwin Lutwak;Vladimir Oliker

  • Lp John Ellipsoids

    Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • On the L p Minkowski Problem for Polytopes

    Daniel Hug;Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • Extended affine surface area

    Erwin Lutwak

  • L p Affine Isoperimetric Inequalities

    Erwin Lutwak;Deane Yang;Gao-Yong Zhang

Frequent Co-Authors

Gaoyong Zhang
Gaoyong Zhang New York University
Deane Yang
Deane Yang New York University
Andrea Cianchi
Andrea Cianchi University of Florence
Wenxiong Chen
Wenxiong Chen Yeshiva University

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