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Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
93
Citations
46725
World Ranking
60
National Ranking
39

Research.com Recognitions

  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award
  • 2013 - Fellow of the American Mathematical Society
  • 2009 - SIAM Fellow For contributions to partial differential equations and their applications.
  • 1993 - Member of the National Academy of Sciences
  • 1987 - Fellow of the American Academy of Arts and Sciences
  • 1966 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1962 - Fellow of Alfred P. Sloan Foundation

Overview

Avner Friedman is affiliated with The Ohio State University in the United States. Their research primarily spans the field of Medicine, with notable focus areas including Oncology, Immunology, Molecular Biology, Modeling and Simulation, and Endocrinology, Diabetes and Metabolism.

Their work covers a range of topics related to cancer and immune response mechanisms. Key research themes include:

  • Cancer Immunotherapy and Biomarkers
  • Mathematical Biology Tumor Growth
  • Cytokine Signaling Pathways and Interactions
  • Immunotherapy and Immune Responses
  • Immune cells in cancer
  • Bone Metabolism and Diseases
  • Cancer Cells and Metastasis

Friedman has contributed to multiple publications in several scientific journals. Frequent publication venues include:

  • Journal of Inverse and Ill-Posed Problems
  • PLoS ONE
  • Journal of Theoretical Biology
  • Bulletin of Mathematical Biology
  • Journal of Mathematical Biology

Some of their recent papers include the following:

  • "Journal of Inverse and Ill-Posed Problems" (2021), published in Journal of Inverse and Ill-Posed Problems
  • "TGF-β inhibition can overcome cancer primary resistance to PD-1 blockade: A mathematical model" (2021), published in PLoS ONE
  • "Combination therapy for mCRPC with immune checkpoint inhibitors, ADT and vaccine: A mathematical model" (2022), published in PLoS ONE
  • "A mathematical model of the multiple sclerosis plaque" (2020), published in Journal of Theoretical Biology
  • "TNF-α inhibitor reduces drug-resistance to anti-PD-1: A mathematical model" (2020), published in PLoS ONE

The scientist frequently collaborates with several co-authors, including Nourridine Siewe, Sergey Kabanikhin, Maxim Shishlenin, Novosibirsk Advisory, and Columbus Kress.

Friedman has received multiple recognitions, including:

  • Fellow of the American Mathematical Society (2013)
  • SIAM Fellow (2009) for contributions to partial differential equations and their applications
  • Member of the National Academy of Sciences (1993)
  • Fellow of the American Academy of Arts and Sciences (1987)
  • Fellow of John Simon Guggenheim Memorial Foundation (1966)
  • Fellow of Alfred P. Sloan Foundation (1962)

Best Publications

  • Partial Differential Equations of Parabolic Type

    Avner Friedman

  • Stochastic Differential Equations and Applications

    Avner Friedman

  • Partial differential equations

    Avner Friedman

  • Variational principles and free-boundary problems

    Avner Friedman

  • Differential games

    Avner Friedman

  • Blow-up of positive solutions of semilinear heat equations

    A. Friedman

  • Foundations of modern analysis

    Avner Friedman

  • Variational problems with two phases and their free boundaries

    Hans Wilhelm Alt;Luis A. Caffarelli;Avner Friedman

  • Higher order nonlinear degenerate parabolic equations

    Francisco Bernis;Avner Friedman

  • The IMA volumes in mathematics and its applications

    Avner Friedman;Willard Miller

  • MicroRNA regulation of a cancer network: Consequences of the feedback loops involving miR-17-92, E2F, and Myc

    Baltazar D. Aguda;Yangjin Kim;Melissa G. Piper-Hunter;Avner Friedman

  • Generalized Functions and Partial Differential Equations

    Avner Friedman;T. Teichmann

  • Nonlinear Parabolic Equations Involving Measures as Initial Conditions

    Haim Brezis;Avner Friedman

  • Hölder estimates for nonlinear degenerate parabolic sytems.

    Emmanuele DiBenedetto;Avner Friedman

  • Analysis of a mathematical model for the growth of tumors.

    Avner Friedman;Fernando Reitich

  • Hypoxia inducible microRNA 210 attenuates keratinocyte proliferation and impairs closure in a murine model of ischemic wounds

    Sabyasachi Biswas;Sashwati Roy;Jaideep Banerjee;Syed-Rehan A. Hussain

  • The Stefan problem in several space variables

    Avner Friedman

  • Determining Cracks by Boundary Measurements

    Avner Friedman;Michael Vogelius

  • Convexity of solutions of semilinear elliptic equations

    Luis A. Caffarelli;Avner Friedman

  • Identification of small inhomogeneities of extreme conductivity by boundary measurements: a theorem on continuous dependence

    Avner Friedman;Michael Vogelius

Frequent Co-Authors

Luis A. Caffarelli
Luis A. Caffarelli The University of Texas at Austin
Xinfu Chen
Xinfu Chen University of Pittsburgh
Willard Miller
Willard Miller University of Minnesota
Juan J. L. Velázquez
Juan J. L. Velázquez University of Bonn
Larry S. Schlesinger
Larry S. Schlesinger Texas Biomedical Research Institute
Chandan K. Sen
Chandan K. Sen University of Pittsburgh
Alain Bensoussan
Alain Bensoussan The University of Texas at Dallas
Michael Vogelius
Michael Vogelius Rutgers, The State University of New Jersey
Clay B. Marsh
Clay B. Marsh West Virginia University
Haim Brezis
Haim Brezis Rutgers, The State University of New Jersey

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