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Mathematics

D-Index
38
Citations
6349
World Ranking
2335
National Ranking
14

Research.com Recognitions

  • 2016 - Fellow of the American Mathematical Society For contributions to several complex variables and to complex dynamics.
  • 1978 - Fellow of Alfred P. Sloan Foundation
  • Member of the Norwegian Academy of Science and Letters Mathematics
  • Member of the Norwegian Academy of Science and Letters Mathematics
  • Member of the Norwegian Academy of Science and Letters Mathematics

Overview

John Erik Fornæss is affiliated with the Norwegian University of Science and Technology in Norway. Their research primarily falls within the field of Mathematics, with a significant focus on Applied Mathematics and Geometry and Topology. Their scholarly output includes 57 publications in Mathematics, among which subfields such as Numerical Analysis, Mathematical Physics, and Statistical and Nonlinear Physics are represented.

The scientist's work covers several core research topics, notably:

  • Holomorphic and Operator Theory
  • Geometry and complex manifolds
  • Meromorphic and Entire Functions
  • Mathematical Dynamics and Fractals
  • Advanced Differential Equations and Dynamical Systems
  • Geometric Analysis and Curvature Flows
  • Iterative Methods for Nonlinear Equations

Recent publications authored by John Erik Fornæss include:

  • "On the boundary rigidity at strongly pseudoconvex points" (2020) published in Mathematische Zeitschrift
  • "The boundary rigidity for holomorphic self-maps of some fibered domains" (2021) published in Mathematical Research Letters
  • "Dynamics of transcendental Hénon maps III: Infinite entropy" (2021) published in Journal of Modern Dynamics (co-authored by Leandro Arosio)
  • "Weighted L2 Version of Mergelyan and Carleman Approximation" (2020) published in Journal of Geometric Analysis (co-authored by Séverine Biard)
  • "Dynamics of transcendental Hénon maps-II" (2022) published in Mathematische Annalen (co-authored by Leandro Arosio)

Frequent publication venues for Fornæss include:

  • arXiv (Cornell University)
  • Mathematische Annalen
  • Journal of Geometric Analysis
  • Journal of Modern Dynamics
  • Mathematische Zeitschrift

Collaborations feature a number of frequent co-authors, highlighting a network of researchers:

  • Mi Hu
  • Ratna Pal
  • Tuyen Trung Truong
  • Leandro Arosio
  • Anna Miriam Benini

John Erik Fornæss's professional recognition includes the following awards and honors:

  • Fellow of the American Mathematical Society (2016) for contributions to several complex variables and to complex dynamics
  • Fellow of Alfred P. Sloan Foundation (1978)
  • Member of the Norwegian Academy of Science and Letters in Mathematics

Best Publications

  • Pseudoconvex domains: Bounded strictly plurisubharmonic exhaustion functions

    Klas Diederich;John Erik Fornæss

  • Complex dynamics in higher dimensions

    John Erik Fornæss;Nessim Sibony

  • Pseudoconvex Domains with Real-Analytic Boundary

    Klas Diederich;John E. Fornaess

  • Pseudoconvex Domains: An Example with Nontrivial Nebenhülle.

    Klas Diederich;John Erik Fornaess

  • The Levi problem on complex spaces with singularities

    John Erik Fornaess;Raghavan Narasimhan

  • Embedding Strictly Pseudoconvex Domains in Convex Domains

    John Erik Fornaess

  • Oka's inequality for currents and applications

    John Erik Fornæss;Nessim Sibony

  • Proper holomorphic mappings between real-analytic pseudoconvex domains inC n

    K. Diederich;J. E. Fornæss

  • Complex Hénon mappings in ℂ2 and Fatou-Bieberbach domains

    John Erik Fornæss;Nessim Sibony

  • A Construction of Peak Functions on Weakly Pseudoconvex Domains

    Eric Bedford;John Erik Fornaess

  • Proper holomorphic maps onto pseudoconvex domains with real-analytic boundary

    Klas Diederich;John E. Fornaess

  • Random iterations of rational functions

    John Erik Fornaess;Nessim Sibony

  • Construction of P.S.H. functions on weakly pseudoconvex domains

    John Erik Fornaess;Nessim Sibony

  • Lectures on Counterexamples in Several Complex Variables

    John Erik Fornæss;Berit Stensønes

  • Exposing Points on the Boundary of a Strictly Pseudoconvex or a Locally Convexifiable Domain of Finite 1-Type

    K. Diederich;J. E. Fornæss;E. F. Wold

  • Hölder estimates on convex domains of finite type

    Unknown

  • Pseudoconvex domains: existence of Stein neighborhoods

    Klas Diederich;John Erik Fornaess

  • Support functions for convex domains of finite type

    Klas Diederich;John Erik Fornæss

  • Smoothingq-convex functions and vanishing theorems

    Klas Diederich;John Erik Fornaess

  • Harmonic currents of finite energy and laminations

    John Erik Fornæss;Nessim Sibony

  • Riemann Surface Laminations with Singularities

    John Erik Fornæss;Nessim Sibony

Frequent Co-Authors

Nessim Sibony
Nessim Sibony University of Paris-Saclay
Eric Bedford
Eric Bedford Stony Brook University
Steven G. Krantz
Steven G. Krantz Washington University in St. Louis
Larry L. Schumaker
Larry L. Schumaker Vanderbilt University

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