World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
54
Citations
16603
World Ranking
820
National Ranking
398

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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