John Erik Fornæss
About
John Erik Fornæss (1946) has been a Professor at the Department of Mathematical Sciences since 2012, and belongs to the Analysis Research Group.
Professor Fornæss has a Master degree in Mathematics from the University of Oslo, and a PhD in Mathematics from the University of Washington, USA.
He has previously held positions as a Professor at the Princeton University and later, the University of Michigan.
Fellowships and awards
- NSF grants 1974-2015
- Sloan Fellowship 1978
- ICM, Invited speaker, 1982
- Humboldt Fellowship
- Stefan Bergman Prize, 1994
- Member of Royal Norwegian Society of Sciences and Letters 2012-
- Member of The Norwegian Academy of Science and Letters 2013-
Commissions of trust
- Member, NSF panels
- Member, Journal Editorial Boards
Memberships of scientific societies
- American Mathematical Society
- European Mathematical Society
- Norwegian Mathematical Society
Publications
2024
-
Fornæss, John Erik;
Hu, Mi;
Truong, Trung Tuyen;
Watanabe, Takayuki.
(2024)
Backtracking New Q-Newton’s Method, Newton’s Flow, Voronoi’s Diagram and Stochastic Root Finding.
Complex Analysis and Operator Theory
Academic article
2023
-
Fornæss, John Erik.
(2023)
Henkin–Ramirez kernels.
Boletín de la Sociedad Matemática Mexicana
Academic article
2022
-
Fornæss, John Erik;
Pal, Ratna.
(2022)
Notes on the Short C<sup>k</sup> ’s.
Journal of Geometric Analysis
Academic article
-
Arosio, Leandro;
Benini, Anna Miriam;
Fornæss, John Erik;
Peters, Han.
(2022)
Dynamics of transcendental Hénon maps-II.
Mathematische Annalen
Academic article
2021
-
Fornæss, John Erik;
Nikolov, Nikolai.
(2021)
Strong localization of invariant metrics.
Mathematische Annalen
Academic article
-
Arosio, Leandro;
Benini, Anna Miriam;
Fornæss, John Erik;
Peters, Han.
(2021)
Dynamics of transcendental hÉnon maps III: Infinite entropy.
Journal of Modern Dynamics
Academic article
-
Fornæss, John Erik;
Rong, Feng.
(2021)
The boundary rigidity for holomorphic self-maps of some fibered domains.
Mathematical Research Letters
Academic article
-
Benini, Anna Miriam;
Fornæss, John Erik;
Peters, Han.
(2021)
Entropy of transcendental entire functions.
Ergodic Theory and Dynamical Systems
Academic article
2020
-
Fornæss, John Erik;
Thu, Ninh Van.
(2020)
A note on pseudoconvex hypersurfaces of infinite type in Cn.
Proceedings of the American Mathematical Society
Academic article
-
Fornæss, John Erik;
Rong, Feng.
(2020)
On the boundary rigidity at strongly pseudoconvex points.
Mathematische Zeitschrift
Academic article
-
Biard, Séverine;
Fornæss, John Erik;
Wu, Jujie.
(2020)
Weighted L2 Version of Mergelyan and Carleman Approximation.
Journal of Geometric Analysis
Academic article
-
Arosio, Leandro;
Fornæss, John Erik;
Shcherbina, Nikolay;
Wold, Erlend Fornæss.
(2020)
Squeezing functions and Cantor sets.
Annali della Scuola Normale Superiore di Pisa (Classe Scienze), Serie V
Academic article
-
Benini, Anna Miriam;
Fornæss, John Erik;
Peters, Han.
(2020)
Infinite Entropy for Transcendental Entire Functions with an Omitted Value.
Acta Mathematica Vietnamica
Academic article
-
Biard, Séverine;
Fornæss, John Erik;
Wu, Jujie.
(2020)
Weighted-L2 polynomial approximation in C.
Transactions of the American Mathematical Society
Academic article
2019
-
Fornæss, John Erik;
Wold, Erlend Fornæss.
(2019)
An embedding of the unit ball that does not embed into a Loewner chain.
Mathematische Zeitschrift
Academic article
-
Fornæss, John Erik;
Wu, Jujie.
(2019)
Weighted approximation in C.
Mathematische Zeitschrift
Academic article
-
Deng, Fusheng;
Fornæss, John Erik.
(2019)
Flat Bundles Over Some Compact Complex Manifolds.
Journal of Geometric Analysis
Academic article
-
Biard, Severine;
Fornæss, John Erik;
Wu, Jujie.
(2019)
Weighted-L² polynomial approximation in C.
Transactions of the American Mathematical Society
Academic article
-
Arosio, Leandro;
Benini, Anna Miriam;
Fornæss, John Erik;
Peters, Han.
(2019)
Dynamics of transcendental Henon maps.
Mathematische Annalen
Academic article
2018
-
Fornæss, John Erik;
Wold, Erlend Fornæss.
(2018)
A non-strictly pseudoconvex domain for which the squeezing function tends to 1 towards the boundary.
Pacific Journal of Mathematics
Academic article
-
Bracci, Filippo;
Fornæss, John Erik;
Wold, Erlend Fornæss.
(2018)
Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains.
Mathematische Zeitschrift
Academic article
-
Fornæss, John Erik;
Rong, Feng.
(2018)
Estimate of the squeezing function for a class of bounded domains.
Mathematische Annalen
Academic article
-
Diederich, K;
Fornæss, John Erik.
(2018)
Boundary behavior of the Bergman metric.
Asian Journal of Mathematics
Academic article
-
Fornæss, John Erik;
Shcherbina, Nikolay.
(2018)
A Domain with Non-plurisubharmonic Squeezing Function.
Journal of Geometric Analysis
Academic article
-
Deng, Fusheng;
Fornæss, John Erik;
Wold, Erlend Fornæss.
(2018)
Exposing boundary points of strongly pseudoconvex subvarieties in complex spaces.
Proceedings of the American Mathematical Society
Academic article
2017
-
Fornæss, John Erik;
Wu, Jujie.
(2017)
A Global Approximation Result by Bert Alan Taylor
and the Strong Openness Conjecture in Cn.
Journal of Geometric Analysis
Academic article
-
Fornæss, John Erik;
Peters, Han.
(2017)
Complex dynamics with focus on the real part.
Ergodic Theory and Dynamical Systems
Academic article
-
Fornæss, John Erik;
Forstneric̆, Franc.
(2017)
Preface.
International Journal of Mathematics
Editorial
2016
-
Diederich, Klas;
Fornæss, John Erik;
Wold, Erlend Fornæss.
(2016)
A characterization of the ball in Cn.
International Journal of Mathematics
Academic article
-
Fornæss, John Erik.
(2016)
On a conjecture by Blocki and Zwonek.
Science China Mathematics
Academic article
-
Fornæss, John Erik;
Wold, Erlend Fornæss.
(2016)
Non-autonomous basins with uniform bounds are elliptic.
Proceedings of the American Mathematical Society
Academic article
2015
-
Fornæss, John Erik;
Irgens, Marius;
Wold, Erlend Fornæss.
(2015)
Complex Geometry and Dynamics.
Springer
Springer
Academic anthology/Conference proceedings
-
Fornæss, John Erik;
Wold, Erlend Fornæss.
(2015)
An estimate for the squeezing function and estimates of invariant metrics.
Springer Proceedings in Mathematics & Statistics
Academic article
-
Boc-Thaler, Luka;
Fornæss, John Erik;
Peters, Han.
(2015)
Fatou components with punctured limit sets.
Ergodic Theory and Dynamical Systems
Academic article
-
Fornæss, John Erik;
Kim, Kang-Tae.
(2015)
Some problems.
Springer Proceedings in Mathematics & Statistics
Academic article
2014
-
Bracci, Filippo;
Fornæss, John Erik.
(2014)
The range of holomorphic maps at boundary points.
Mathematische Annalen
Academic article
-
Klas, Diederich;
Fornæss, John Erik;
Wold, Erlend Fornæss.
(2014)
Exposing Points on the Boundary of a Strictly Pseudoconvex or a Locally Convexifiable Domain of Finite 1-Type.
Journal of Geometric Analysis
Academic article
-
Fornæss, John Erik;
Rong, Feng.
(2014)
Classification of recurrent domains for holomorphic maps on complex projective spaces.
Journal of Geometric Analysis
Academic article
-
Fornæss, John Erik;
Lee, Lina;
Zhang, Yuan.
(2014)
Formal complex curves in real smooth hypersurfaces.
Illinois Journal of Mathematics
Academic article
2013
-
Fornæss, John Erik;
Sibony, Nessim;
Wold, Erlend Fornæss.
(2013)
Q-Complete domains with corners in P-n and extension of line bundles.
Mathematische Zeitschrift
Academic article
-
Fornæss, John Erik;
Mihailescu, Eugen.
(2013)
Equilibrium measures in saddle sets of holomorphic maps on P^2.
Mathematische Annalen
Academic article
2012
-
Fornæss, John Erik;
Stensønes, Berit.
(2012)
Infinite type germs of real analytic pseudoconvex domains in C^3.
Complex Variables and Elliptic Equations
Academic article
2011
-
Fornæss, John Erik;
Wold Fornæss, Erlend.
(2011)
Examples of minimal laminations and associated currents.
Mathematische Zeitschrift
Academic article
-
Fornæss, John Erik;
Lee, Line;
Zhang, Yuan.
(2011)
On Supnorm Estimates for ∂ on Infinite Type Convex Domains in C^2.
Journal of Geometric Analysis
Academic article
1993
-
Fornæss, John Erik.
(1993)
Several Complex Variables: Proceedings of the Mittag-Leffler Institute, 1987-1988.
Princeton University Press
Princeton University Press
Academic anthology/Conference proceedings
Journal publications
-
Fornæss, John Erik;
Hu, Mi;
Truong, Trung Tuyen;
Watanabe, Takayuki.
(2024)
Backtracking New Q-Newton’s Method, Newton’s Flow, Voronoi’s Diagram and Stochastic Root Finding.
Complex Analysis and Operator Theory
Academic article
-
Fornæss, John Erik.
(2023)
Henkin–Ramirez kernels.
Boletín de la Sociedad Matemática Mexicana
Academic article
-
Fornæss, John Erik;
Pal, Ratna.
(2022)
Notes on the Short C<sup>k</sup> ’s.
Journal of Geometric Analysis
Academic article
-
Arosio, Leandro;
Benini, Anna Miriam;
Fornæss, John Erik;
Peters, Han.
(2022)
Dynamics of transcendental Hénon maps-II.
Mathematische Annalen
Academic article
-
Fornæss, John Erik;
Nikolov, Nikolai.
(2021)
Strong localization of invariant metrics.
Mathematische Annalen
Academic article
-
Arosio, Leandro;
Benini, Anna Miriam;
Fornæss, John Erik;
Peters, Han.
(2021)
Dynamics of transcendental hÉnon maps III: Infinite entropy.
Journal of Modern Dynamics
Academic article
-
Fornæss, John Erik;
Rong, Feng.
(2021)
The boundary rigidity for holomorphic self-maps of some fibered domains.
Mathematical Research Letters
Academic article
-
Benini, Anna Miriam;
Fornæss, John Erik;
Peters, Han.
(2021)
Entropy of transcendental entire functions.
Ergodic Theory and Dynamical Systems
Academic article
-
Fornæss, John Erik;
Thu, Ninh Van.
(2020)
A note on pseudoconvex hypersurfaces of infinite type in Cn.
Proceedings of the American Mathematical Society
Academic article
-
Fornæss, John Erik;
Rong, Feng.
(2020)
On the boundary rigidity at strongly pseudoconvex points.
Mathematische Zeitschrift
Academic article
-
Biard, Séverine;
Fornæss, John Erik;
Wu, Jujie.
(2020)
Weighted L2 Version of Mergelyan and Carleman Approximation.
Journal of Geometric Analysis
Academic article
-
Arosio, Leandro;
Fornæss, John Erik;
Shcherbina, Nikolay;
Wold, Erlend Fornæss.
(2020)
Squeezing functions and Cantor sets.
Annali della Scuola Normale Superiore di Pisa (Classe Scienze), Serie V
Academic article
-
Benini, Anna Miriam;
Fornæss, John Erik;
Peters, Han.
(2020)
Infinite Entropy for Transcendental Entire Functions with an Omitted Value.
Acta Mathematica Vietnamica
Academic article
-
Biard, Séverine;
Fornæss, John Erik;
Wu, Jujie.
(2020)
Weighted-L2 polynomial approximation in C.
Transactions of the American Mathematical Society
Academic article
-
Fornæss, John Erik;
Wold, Erlend Fornæss.
(2019)
An embedding of the unit ball that does not embed into a Loewner chain.
Mathematische Zeitschrift
Academic article
-
Fornæss, John Erik;
Wu, Jujie.
(2019)
Weighted approximation in C.
Mathematische Zeitschrift
Academic article
-
Deng, Fusheng;
Fornæss, John Erik.
(2019)
Flat Bundles Over Some Compact Complex Manifolds.
Journal of Geometric Analysis
Academic article
-
Biard, Severine;
Fornæss, John Erik;
Wu, Jujie.
(2019)
Weighted-L² polynomial approximation in C.
Transactions of the American Mathematical Society
Academic article
-
Arosio, Leandro;
Benini, Anna Miriam;
Fornæss, John Erik;
Peters, Han.
(2019)
Dynamics of transcendental Henon maps.
Mathematische Annalen
Academic article
-
Fornæss, John Erik;
Wold, Erlend Fornæss.
(2018)
A non-strictly pseudoconvex domain for which the squeezing function tends to 1 towards the boundary.
Pacific Journal of Mathematics
Academic article
-
Bracci, Filippo;
Fornæss, John Erik;
Wold, Erlend Fornæss.
(2018)
Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains.
Mathematische Zeitschrift
Academic article
-
Fornæss, John Erik;
Rong, Feng.
(2018)
Estimate of the squeezing function for a class of bounded domains.
Mathematische Annalen
Academic article
-
Diederich, K;
Fornæss, John Erik.
(2018)
Boundary behavior of the Bergman metric.
Asian Journal of Mathematics
Academic article
-
Fornæss, John Erik;
Shcherbina, Nikolay.
(2018)
A Domain with Non-plurisubharmonic Squeezing Function.
Journal of Geometric Analysis
Academic article
-
Deng, Fusheng;
Fornæss, John Erik;
Wold, Erlend Fornæss.
(2018)
Exposing boundary points of strongly pseudoconvex subvarieties in complex spaces.
Proceedings of the American Mathematical Society
Academic article
-
Fornæss, John Erik;
Wu, Jujie.
(2017)
A Global Approximation Result by Bert Alan Taylor
and the Strong Openness Conjecture in Cn.
Journal of Geometric Analysis
Academic article
-
Fornæss, John Erik;
Peters, Han.
(2017)
Complex dynamics with focus on the real part.
Ergodic Theory and Dynamical Systems
Academic article
-
Fornæss, John Erik;
Forstneric̆, Franc.
(2017)
Preface.
International Journal of Mathematics
Editorial
-
Diederich, Klas;
Fornæss, John Erik;
Wold, Erlend Fornæss.
(2016)
A characterization of the ball in Cn.
International Journal of Mathematics
Academic article
-
Fornæss, John Erik.
(2016)
On a conjecture by Blocki and Zwonek.
Science China Mathematics
Academic article
-
Fornæss, John Erik;
Wold, Erlend Fornæss.
(2016)
Non-autonomous basins with uniform bounds are elliptic.
Proceedings of the American Mathematical Society
Academic article
-
Fornæss, John Erik;
Wold, Erlend Fornæss.
(2015)
An estimate for the squeezing function and estimates of invariant metrics.
Springer Proceedings in Mathematics & Statistics
Academic article
-
Boc-Thaler, Luka;
Fornæss, John Erik;
Peters, Han.
(2015)
Fatou components with punctured limit sets.
Ergodic Theory and Dynamical Systems
Academic article
-
Fornæss, John Erik;
Kim, Kang-Tae.
(2015)
Some problems.
Springer Proceedings in Mathematics & Statistics
Academic article
-
Bracci, Filippo;
Fornæss, John Erik.
(2014)
The range of holomorphic maps at boundary points.
Mathematische Annalen
Academic article
-
Klas, Diederich;
Fornæss, John Erik;
Wold, Erlend Fornæss.
(2014)
Exposing Points on the Boundary of a Strictly Pseudoconvex or a Locally Convexifiable Domain of Finite 1-Type.
Journal of Geometric Analysis
Academic article
-
Fornæss, John Erik;
Rong, Feng.
(2014)
Classification of recurrent domains for holomorphic maps on complex projective spaces.
Journal of Geometric Analysis
Academic article
-
Fornæss, John Erik;
Lee, Lina;
Zhang, Yuan.
(2014)
Formal complex curves in real smooth hypersurfaces.
Illinois Journal of Mathematics
Academic article
-
Fornæss, John Erik;
Sibony, Nessim;
Wold, Erlend Fornæss.
(2013)
Q-Complete domains with corners in P-n and extension of line bundles.
Mathematische Zeitschrift
Academic article
-
Fornæss, John Erik;
Mihailescu, Eugen.
(2013)
Equilibrium measures in saddle sets of holomorphic maps on P^2.
Mathematische Annalen
Academic article
-
Fornæss, John Erik;
Stensønes, Berit.
(2012)
Infinite type germs of real analytic pseudoconvex domains in C^3.
Complex Variables and Elliptic Equations
Academic article
-
Fornæss, John Erik;
Wold Fornæss, Erlend.
(2011)
Examples of minimal laminations and associated currents.
Mathematische Zeitschrift
Academic article
-
Fornæss, John Erik;
Lee, Line;
Zhang, Yuan.
(2011)
On Supnorm Estimates for ∂ on Infinite Type Convex Domains in C^2.
Journal of Geometric Analysis
Academic article
Books
-
Fornæss, John Erik;
Irgens, Marius;
Wold, Erlend Fornæss.
(2015)
Complex Geometry and Dynamics.
Springer
Springer
Academic anthology/Conference proceedings
-
Fornæss, John Erik.
(1993)
Several Complex Variables: Proceedings of the Mittag-Leffler Institute, 1987-1988.
Princeton University Press
Princeton University Press
Academic anthology/Conference proceedings