World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
30
Citations
3363
World Ranking
3549
National Ranking
1369

Frank Sottile 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 Frank Sottile 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: 275 publications — 82nd percentile

82% of scientists in this discipline score the same or lower.

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

Frank Sottile 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 Frank Sottile 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: 30 D-Index — 5th percentile

5% of scientists in this discipline score the same or lower.

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

Overview

Frank Sottile is affiliated with Texas A&M University in the United States. Their work spans the fields of Mathematics and Computer Science, contributing significantly to both domains through numerous publications. Their main areas of study include Computational Theory and Mathematics, Geometry and Topology, Computational Mechanics, Algebra and Number Theory, and Discrete Mathematics and Combinatorics.

The research topics covered by Frank Sottile emphasize Polynomial and Algebraic Computation, Advanced Numerical Analysis Techniques, Algebraic Geometry and Number Theory, Commutative Algebra and Its Applications, Advanced Combinatorial Mathematics, Computational Geometry and Mesh Generation, and Geometric and Algebraic Topology.

Some recent publications by Sottile include:

  • Generic properties of dispersion relations for discrete periodic operators, 2020, Journal of Mathematical Physics
  • Numerical homotopies from Khovanskii bases, 2021, Mathematics of Computation
  • A numerical toolkit for multiprojective varieties, 2020, Mathematics of Computation
  • Numerical Nonlinear Algebra, 2023, arXiv (Cornell University)
  • Critical points of discrete periodic operators, 2024, Journal of Spectral Theory

Frank Sottile regularly collaborates with several researchers, including Thomas Yahl, Anton Leykin, Jose Israel Rodriguez, Abraham Martín del Campo, and Michael Burr. This collaboration has resulted in multiple joint publications.

Frequent publication venues for Sottile's work include:

  • arXiv (Cornell University)
  • Mathematics of Computation
  • Journal of Software for Algebra and Geometry
  • Journal of Mathematical Physics
  • Journal of Spectral Theory

Best Publications

  • Combinatorial Hopf algebras and generalized Dehn–Sommerville relations

    Marcelo Aguiar;Nantel Bergeron;Frank Sottile

  • Structure of the Malvenuto–Reutenauer Hopf algebra of permutations

    Marcelo Aguiar;Frank Sottile

  • Algorithm 921: alphaCertified: Certifying Solutions to Polynomial Systems

    Jonathan D. Hauenstein;Frank Sottile

  • Real Solutions to Equations from Geometry

    Frank Sottile

  • Schubert polynomials, the Bruhat order, and the geometry of flag manifolds

    Nantel Bergeron;Frank Sottile

  • Pieri's formula for flag manifolds and Schubert polynomials

    Frank Sottile

  • Real Schubert calculus: polynomial systems and a conjecture of Shapiro and Shapiro

    Frank Sottile

  • Structure of the Loday–Ronco Hopf algebra of trees

    Marcelo Aguiar;Frank Sottile

  • Noncommutative Pieri operators on posets

    Nantel Bergeron;Stefan Mykytiuk;Frank Sottile;Stephanie van Willigenburg

  • Numerical Schubert Calculus

    B. Huber;F. Sottile;B. Sturmfels

  • NEW FEWNOMIAL UPPER BOUNDS FROM GALE DUAL POLYNOMIAL SYSTEMS

    Frederic Bihan;Frank Sottile

  • Tableau Switching

    Georgia Benkart;Frank Sottile;Jeffrey Stroomer

  • Enumerative geometry for the real Grassmannian of lines in projective space

    Frank Sottile

  • ORBITOPES

    Unknown

  • Irrational proofs for three theorems of Stanley

    Matthias Beck;Frank Sottile

  • Frontiers of reality in Schubert calculus

    Frank Sottile

  • The special Schubert calculus is real

    Frank Sottile;Frank Sottile

  • GALOIS GROUPS OF SCHUBERT PROBLEMS VIA HOMOTOPY COMPUTATION

    Anton Leykin;Frank Sottile

  • Some remarks on real and complex output feedback

    Joachim Rosenthal;Frank Sottile

  • (Formulas of Brion, Lawrence, and Varchenko on rational generating functions for cones)

    Matthias Beck;Christian Haase;Frank Sottile

  • Lower bounds for real solutions to sparse polynomial systems

    Evgenia Soprunova;Frank Sottile

  • Cocommutative Hopf Algebras of Permutations and Trees

    Marcelo Aguiar;Frank Sottile

Frequent Co-Authors

Bernd Sturmfels
Bernd Sturmfels Max Planck Institute for Mathematics in the Sciences
Thomas Lam
Thomas Lam University of Michigan–Ann Arbor
Sue Whitesides
Sue Whitesides University of Victoria
Olivier Devillers
Olivier Devillers University of Lorraine
Ioannis Z. Emiris
Ioannis Z. Emiris National and Kapodistrian University of Athens
Joachim Rosenthal
Joachim Rosenthal University of Zurich
Peter Kuchment
Peter Kuchment Texas A&M University

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