World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
38
Citations
4306
World Ranking
2403
National Ranking
55

David Yang Gao 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 David Yang Gao 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: 188 publications — 57th percentile

57% of scientists in this discipline score the same or lower.

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

David Yang Gao 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 David Yang Gao 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: 38 D-Index — 37th percentile

37% of scientists in this discipline score the same or lower.

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

Overview

David Yang Gao is affiliated with Federation University Australia. Their work primarily spans the field of Mathematics, with a significant focus on several subfields including Mathematical Physics, Algebra and Number Theory, Geometry and Topology, Artificial Intelligence, and Information Systems.

The scientist has contributed to various main topics of research such as:

  • Advanced Operator Algebra Research
  • Advanced Topics in Algebra
  • Advanced Topology and Set Theory
  • Software Engineering Research
  • Topic Modeling
  • Natural Language Processing Techniques
  • Geometric and Algebraic Topology

David Yang Gao's recent publications include the following papers:

  • "Testing LLMs on Code Generation with Varying Levels of Prompt Specificity" (2023), published in arXiv (Cornell University)
  • "Soficity for group actions on sets and applications" (2024), published in arXiv (Cornell University)
  • "Periodic Implicit Representation, Design and Optimization of Porous Structures Using Periodic B-splines" (2024), published in arXiv (Cornell University)
  • "All actions of LERF groups on sets are sofic" (2024), published in arXiv (Cornell University)
  • "On conjugacy and perturbation of subalgebras" (2024), published in arXiv (Cornell University)

The scientist's frequent co-authors comprise:

  • Srivatsav Kunnawalkam Elayavalli
  • Gregory Patchell
  • Hui Shan Tan
  • Tattwamasi Amrutam
  • Lincoln Murr

David Yang Gao regularly publishes in the venue arXiv (Cornell University) with 11 contributions. Other publication venues include:

  • Informatica
  • International Mathematics Research Notices
  • Journal of Logic and Analysis
  • Research in the Mathematical Sciences

Best Publications

  • Duality Principles in Nonconvex Systems: Theory, Methods and Applications

    David Yang Gao

  • Duality Principles in Nonconvex Systems

    David Yang Gao

  • Canonical Dual Transformation Method and Generalized Triality Theory in Nonsmooth Global Optimization

    David Yang Gao

  • Perfect duality theory and complete solutions to a class of global optimization problems

    David Yang Gao

  • Solutions and optimality criteria to box constrained nonconvex minimization problems

    David Yang Gao

  • Nonlinear elastic beam theory with application in contact problems and variational approaches

    David Yang Gao

  • Advances in mechanics and mathematics

    David Y. Gao;Ray W. Ogden

  • Canonical Duality Theory and Solutions to Constrained Nonconvex Quadratic Programming

    David Yang Gao

  • Discrete state transition algorithm for unconstrained integer optimization problems

    Xiaojun Zhou;David Yang Gao;Chunhua Yang;Weihua Gui

  • Finite deformation beam models and triality theory in dynamical post-buckling analysis☆

    David Yang Gao

  • Solutions to quadratic minimization problems with box and integer constraints

    David Yang Gao;Ning Ruan

  • Dual Extremum Principles in Finite Deformation Theory With Applications to Post-Buckling Analysis of Extended Nonlinear Beam Model

    David Yang Gao

  • Canonical duality theory: Unified understanding and generalized solution for global optimization problems

    David Yang Gao

  • Canonical dual approach to solving 0-1 quadratic programming problems

    Shu Cherng Fang;Shu Cherng Fang;David Yang Gao;David Yang Gao;Ruey-Lin Sheu;Soon Yi Wu;Soon Yi Wu

  • Analytic solutions and triality theory for nonconvex and nonsmooth variational problems with applications

    David Yang Gao

  • Canonical Duality Theory: Connections between Nonconvex Mechanics and Global Optimization

    David Y. Gao;Hanif D. Sherali

  • Multiple solutions to non-convex variational problems with implications for phase transitions and numerical computation

    David Gao;Raymond William Ogden

  • General Analytic Solutions and Complementary Variational Principles for Large Deformation Nonsmooth Mechanics

    David Yang Gao

  • Duality, triality and complementary extremum principles in non-convex parametric variational problems with applications

    DY Gao

  • Solutions and optimality criteria for nonconvex constrained global optimization problems with connections between canonical and Lagrangian duality

    David Yang Gao;Ning Ruan;Hanif D. Sherali

  • Canonical Duality Theory and Solutions to Constrained Nonconvex Quadratic Programming Dedicated to Professor Ivar Ekeland on the occasion of his 60th birthday

    David Yang Gao

Frequent Co-Authors

Shu-Cherng Fang
Shu-Cherng Fang North Carolina State University
Ray W. Ogden
Ray W. Ogden University of Glasgow
Hanif D. Sherali
Hanif D. Sherali Virginia Tech
Saeid Nahavandi
Saeid Nahavandi Swinburne University of Technology
John Yearwood
John Yearwood Deakin University
Chee Peng Lim
Chee Peng Lim Swinburne University of Technology
Patrizio Neff
Patrizio Neff University of Duisburg-Essen
Qing-Hua Qin
Qing-Hua Qin Xi'an Jiaotong University
Chuandong Li
Chuandong Li Southwest University
Tingwen Huang
Tingwen Huang Shenzhen Institutes of Advanced Technology

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Related Online Degrees & Career Pathways

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