World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
54
Citations
16603
World Ranking
820
National Ranking
399

H. Mete Soner 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 H. Mete Soner 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.

H. Mete Soner 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 H. Mete Soner 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: 54 D-Index — 78th percentile

78% 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

  • 2015 - SIAM Fellow For contributions to the theory of stochastic optimal control, viscosity solutions and mathematical finance.

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Algebra
  • Geometry

His primary scientific interests are in Mathematical analysis, Mathematical finance, Stochastic differential equation, Viscosity solution and Mathematical economics. His research in Mathematical analysis intersects with topics in Kinetic energy and Optimal control. His Mathematical finance research includes themes of Dynamic programming and Mathematical optimization.

His Mathematical optimization study integrates concerns from other disciplines, such as Duality and Piecewise. His study in Viscosity solution is interdisciplinary in nature, drawing from both Stochastic control and Bellman equation. As a part of the same scientific study, H. Mete Soner usually deals with the Mathematical economics, concentrating on Portfolio and frequently concerns with Optimal cost, Market liquidity and Arbitrage pricing theory.

His most cited work include:

  • Controlled Markov processes and viscosity solutions (2836 citations)
  • Wellposedness of Second Order Backward SDEs (226 citations)
  • Hedging in incomplete markets with HARA utility (195 citations)

What are the main themes of his work throughout his whole career to date?

H. Mete Soner focuses on Mathematical optimization, Mathematical economics, Transaction cost, Bellman equation and Dynamic programming. H. Mete Soner studied Mathematical optimization and Asymptotic analysis that intersect with Indifference price and Exponential utility. His studies deal with areas such as Market liquidity, Asset, Stochastic control and Portfolio as well as Mathematical economics.

In his articles, H. Mete Soner combines various disciplines, including Transaction cost and Viscosity. H. Mete Soner works mostly in the field of Bellman equation, limiting it down to topics relating to Viscosity solution and, in certain cases, Partial differential equation. His Dynamic programming research integrates issues from Investment strategy, Investment and Mathematical finance.

He most often published in these fields:

  • Mathematical optimization (40.13%)
  • Mathematical economics (27.39%)
  • Transaction cost (29.30%)

What were the highlights of his more recent work (between 2016-2021)?

  • Mathematical optimization (40.13%)
  • Bellman equation (28.03%)
  • Mathematical economics (27.39%)

In recent papers he was focusing on the following fields of study:

Mathematical optimization, Bellman equation, Mathematical economics, Profitability index and Bankruptcy are his primary areas of study. The Mathematical optimization study combines topics in areas such as Upper and lower bounds and Transaction cost. His research in Transaction cost intersects with topics in Convex duality, Finite set, Limit, Probability measure and Almost surely.

Bellman equation and Equity issuance are two areas of study in which H. Mete Soner engages in interdisciplinary research. His Mathematical economics research is multidisciplinary, relying on both Arbitrage and Fundamental theorem of asset pricing. As part of the same scientific family, H. Mete Soner usually focuses on Dynamic programming, concentrating on Portfolio and intersecting with Mathematical finance.

Between 2016 and 2021, his most popular works were:

  • Hedging with temporary price impact (58 citations)
  • Hedging with temporary price impact (58 citations)
  • TRADING WITH SMALL PRICE IMPACT (40 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Algebra
  • Financial economics

H. Mete Soner spends much of his time researching Dynamic programming, Mathematical optimization, Transaction cost, Bellman equation and Microeconomics. His research on Dynamic programming often connects related areas such as Portfolio. His Mathematical optimization study frequently draws parallels with other fields, such as Investment.

Preference, Expected utility hypothesis and Range is closely connected to Limit in his research, which is encompassed under the umbrella topic of Transaction cost. His study ties his expertise on Singular control together with the subject of Bellman equation. H. Mete Soner combines subjects such as Mathematical economics and Mathematical finance with his study of Microeconomics.

Best Publications

  • Controlled Markov processes and viscosity solutions

    Wendell Helms Fleming;H. Mete Soner

  • Optimal Investment and Consumption with Transaction Costs

    S. E. Shreve;H. M. Soner

  • Phase Transitions and Generalized Motion by Mean Curvature

    L. C. Evans;H. M. Soner;P. E. Souganidis

  • Front propagation and phase field theory

    G. Barles;H. M. Soner;P. E. Sougandis

  • Option pricing with transaction costs and a nonlinear Black-Scholes equation

    Guy Barles;Halil Mete Soner

  • There is no Nontrivial Hedging Portfolio for Option Pricing with Transaction Costs

    H. M. Soner;S. E. Shreve;J. Cvitanić

  • Level set approach to mean curvature flow in arbitrary codimension

    Luigi Ambrosio;Halil Mete Soner

  • Wellposedness of Second Order Backward SDEs

    H. Mete Soner;Nizar Touzi;Jianfeng Zhang

  • Second-Order Backward Stochastic Differential Equations and Fully Nonlinear Parabolic PDEs

    Patrick Cheridito;H. Mete Soner;Nizar Touzi;Nicolas Victoir

  • Hedging in incomplete markets with HARA utility

    Darrell Duffie;Wendell Fleming;H.Mete Soner;Thaleia Zariphopoulou

  • Martingale Representation Theorem for the G-expectation

    H. Mete Soner;H. Mete Soner;Nizar Touzi;Jianfeng Zhang

  • Martingale optimal transport and robust hedging in continuous time

    Yan Dolinsky;H. Mete Soner

  • Dynamic programming for stochastic target problems and geometric flows

    H. Mete Soner;Nizar Touzi

  • Quasi-sure Stochastic Analysis through Aggregation

    Mete H Soner;Nizar Touzi;Jianfeng Zhang

  • An optimal stochastic production planning problem with randomly fluctuating dem and

    W. H. Fleming;S. P. Sethi;H. M. Soner

  • Regularity of the value function for a two-dimensional singular stochastic control problem

    H. Mete Soner;Steven E. Shreve

  • Optimal Replication of Contingent Claims under Portfolio Constraints

    Mark Broadie;Jakša Cvitanić;H. Mete Soner

  • Option hedging for small investors under liquidity costs

    Umut Çetin;H. Mete Soner;Nizar Touzi

  • Dual Formulation of Second Order Target Problems

    H. Mete Soner;Nizar Touzi;Jianfeng Zhang

  • Viscosity solutions and applications : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 12-20, 1995

    Martino Bardi;Michael G. Crandall;Lawrence C. Evans;H. Mete Soner

  • Option hedging for small investors under liquidity costs

    H. Mete Soner;Umut Cetin;Nizar Touzi

Frequent Co-Authors

Nizar Touzi
Nizar Touzi École Polytechnique
Jean-Charles Rochet
Jean-Charles Rochet Toulouse School of Economics
Jianfeng Zhang
Jianfeng Zhang University of Southern California
Steven E. Shreve
Steven E. Shreve Carnegie Mellon University
Wendell H. Fleming
Wendell H. Fleming Brown University
Panagiotis E. Souganidis
Panagiotis E. Souganidis University of Chicago
Jakša Cvitanić
Jakša Cvitanić California Institute of Technology
Darrell Duffie
Darrell Duffie Stanford University
Mark Broadie
Mark Broadie Columbia University

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