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
2022
- Arosio, Leandro; Benini, Anna Miriam; Fornæss, John Erik; Peters, Han. (2022) Dynamics of transcendental Hénon maps-II. Mathematische Annalen.
- Fornæss, John Erik; Pal, Ratna. (2022) Notes on the Short C<sup>k</sup> ’s. Journal of Geometric Analysis. volum 32 (4).
2021
- Arosio, Leandro; Benini, Anna Miriam; Fornæss, John Erik; Peters, Han. (2021) Dynamics of transcendental hÉnon maps III: Infinite entropy. Journal of Modern Dynamics. volum 17.
- Benini, Anna Miriam; Fornæss, John Erik; Peters, Han. (2021) Entropy of transcendental entire functions. Ergodic Theory and Dynamical Systems. volum 41 (2).
- Fornæss, John Erik; Nikolov, Nikolai. (2021) Strong localization of invariant metrics. Mathematische Annalen.
- Fornæss, John Erik; Rong, Feng. (2021) The boundary rigidity for holomorphic self-maps of some fibered domains. Mathematical Research Letters. volum 28 (3).
2020
- 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.
- Benini, Anna Miriam; Fornæss, John Erik; Peters, Han. (2020) Infinite Entropy for Transcendental Entire Functions with an Omitted Value. Acta Mathematica Vietnamica. volum 45 (1).
- Biard, Séverine; Fornæss, John Erik; Wu, Jujie. (2020) Weighted L2 Version of Mergelyan and Carleman Approximation. Journal of Geometric Analysis.
- Biard, Séverine; Fornæss, John Erik; Wu, Jujie. (2020) Weighted-L2 polynomial approximation in C. Transactions of the American Mathematical Society. volum 373 (2).
- Fornæss, John Erik; Rong, Feng. (2020) On the boundary rigidity at strongly pseudoconvex points. Mathematische Zeitschrift. volum 297.
- Fornæss, John Erik; Thu, Ninh Van. (2020) A note on pseudoconvex hypersurfaces of infinite type in Cn. Proceedings of the American Mathematical Society. volum 148 (10).
2019
- Arosio, Leandro; Benini, Anna Miriam; Fornæss, John Erik; Peters, Han. (2019) Dynamics of transcendental Henon maps. Mathematische Annalen. volum 373 (1-2).
- Biard, Severine; Fornæss, John Erik; Wu, Jujie. (2019) Weighted-L² polynomial approximation in C. Transactions of the American Mathematical Society. volum 373 (2).
- Deng, Fusheng; Fornæss, John Erik. (2019) Flat Bundles Over Some Compact Complex Manifolds. Journal of Geometric Analysis.
- Fornæss, John Erik; Wold, Erlend Fornæss. (2019) An embedding of the unit ball that does not embed into a Loewner chain. Mathematische Zeitschrift.
- Fornæss, John Erik; Wu, Jujie. (2019) Weighted approximation in C. Mathematische Zeitschrift.
2018
- 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. volum 146 (6).
- Bracci, Filippo; Fornæss, John Erik; Wold, Erlend Fornæss. (2018) Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains. Mathematische Zeitschrift.
- Diederich, K; Fornæss, John Erik. (2018) Boundary behavior of the Bergman metric. Asian Journal of Mathematics. volum 22 (2).
- Fornæss, John Erik; Rong, Feng. (2018) Estimate of the squeezing function for a class of bounded domains. Mathematische Annalen. volum 371 (3-4).
- Fornæss, John Erik; Shcherbina, Nikolay. (2018) A Domain with Non-plurisubharmonic Squeezing Function. Journal of Geometric Analysis. volum 28.
- 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. volum 297 (1).
2017
- Fornæss, John Erik; Forstneric̆, Franc. (2017) Preface. International Journal of Mathematics. volum 28:1702001 (9).
- Fornæss, John Erik; Peters, Han. (2017) Complex dynamics with focus on the real part. Ergodic Theory and Dynamical Systems. volum 37 (1).
- 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. volum 28.
2016
- Diederich, Klas; Fornæss, John Erik; Wold, Erlend Fornæss. (2016) A characterization of the ball in Cn. International Journal of Mathematics. volum 27 (9).
- Fornæss, John Erik. (2016) On a conjecture by Blocki and Zwonek. Science China Mathematics.
- Fornæss, John Erik; Wold, Erlend Fornæss. (2016) Non-autonomous basins with uniform bounds are elliptic. Proceedings of the American Mathematical Society. volum 144 (11).
2015
- Boc-Thaler, Luka; Fornæss, John Erik; Peters, Han. (2015) Fatou components with punctured limit sets. Ergodic Theory and Dynamical Systems. volum 35 (5).
- Fornæss, John Erik; Irgens, Marius; Wold, Erlend Fornæss. (2015) Complex Geometry and Dynamics. Springer. 2015. ISBN 978-3-319-20336-2.
- Fornæss, John Erik; Kim, Kang-Tae. (2015) Some problems. Springer Proceedings in Mathematics & Statistics. volum 144.
- Fornæss, John Erik; Wold, Erlend Fornæss. (2015) An estimate for the squeezing function and estimates of invariant metrics. Springer Proceedings in Mathematics & Statistics. volum 144.
2014
- Bracci, Filippo; Fornæss, John Erik. (2014) The range of holomorphic maps at boundary points. Mathematische Annalen. volum 359 (3-4).
- Fornæss, John Erik; Lee, Lina; Zhang, Yuan. (2014) Formal complex curves in real smooth hypersurfaces. Illinois Journal of Mathematics. volum 58 (1).
- Fornæss, John Erik; Rong, Feng. (2014) Classification of recurrent domains for holomorphic maps on complex projective spaces. Journal of Geometric Analysis. volum 24 (2).
- 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. volum 24 (4).
2013
- Fornæss, John Erik; Mihailescu, Eugen. (2013) Equilibrium measures in saddle sets of holomorphic maps on P^2. Mathematische Annalen. volum 356 (4).
- Fornæss, John Erik; Sibony, Nessim; Wold, Erlend Fornæss. (2013) Q-Complete domains with corners in P-n and extension of line bundles. Mathematische Zeitschrift. volum 273 (1-2).
2012
- Fornæss, John Erik; Stensønes, Berit. (2012) Infinite type germs of real analytic pseudoconvex domains in C^3. Complex Variables and Elliptic Equations.
2011
- Fornæss, John Erik; Lee, Line; Zhang, Yuan. (2011) On Supnorm Estimates for ∂ on Infinite Type Convex Domains in C^2. Journal of Geometric Analysis. volum 29.
- Fornæss, John Erik; Wold Fornæss, Erlend. (2011) Examples of minimal laminations and associated currents. Mathematische Zeitschrift.
1993
- Fornæss, John Erik. (1993) Several Complex Variables: Proceedings of the Mittag-Leffler Institute, 1987-1988. Princeton University Press. 1993. ISBN 9780691631073.
Journal publications
- Arosio, Leandro; Benini, Anna Miriam; Fornæss, John Erik; Peters, Han. (2022) Dynamics of transcendental Hénon maps-II. Mathematische Annalen.
- Fornæss, John Erik; Pal, Ratna. (2022) Notes on the Short C<sup>k</sup> ’s. Journal of Geometric Analysis. volum 32 (4).
- Arosio, Leandro; Benini, Anna Miriam; Fornæss, John Erik; Peters, Han. (2021) Dynamics of transcendental hÉnon maps III: Infinite entropy. Journal of Modern Dynamics. volum 17.
- Benini, Anna Miriam; Fornæss, John Erik; Peters, Han. (2021) Entropy of transcendental entire functions. Ergodic Theory and Dynamical Systems. volum 41 (2).
- Fornæss, John Erik; Nikolov, Nikolai. (2021) Strong localization of invariant metrics. Mathematische Annalen.
- Fornæss, John Erik; Rong, Feng. (2021) The boundary rigidity for holomorphic self-maps of some fibered domains. Mathematical Research Letters. volum 28 (3).
- 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.
- Benini, Anna Miriam; Fornæss, John Erik; Peters, Han. (2020) Infinite Entropy for Transcendental Entire Functions with an Omitted Value. Acta Mathematica Vietnamica. volum 45 (1).
- Biard, Séverine; Fornæss, John Erik; Wu, Jujie. (2020) Weighted L2 Version of Mergelyan and Carleman Approximation. Journal of Geometric Analysis.
- Biard, Séverine; Fornæss, John Erik; Wu, Jujie. (2020) Weighted-L2 polynomial approximation in C. Transactions of the American Mathematical Society. volum 373 (2).
- Fornæss, John Erik; Rong, Feng. (2020) On the boundary rigidity at strongly pseudoconvex points. Mathematische Zeitschrift. volum 297.
- Fornæss, John Erik; Thu, Ninh Van. (2020) A note on pseudoconvex hypersurfaces of infinite type in Cn. Proceedings of the American Mathematical Society. volum 148 (10).
- Arosio, Leandro; Benini, Anna Miriam; Fornæss, John Erik; Peters, Han. (2019) Dynamics of transcendental Henon maps. Mathematische Annalen. volum 373 (1-2).
- Biard, Severine; Fornæss, John Erik; Wu, Jujie. (2019) Weighted-L² polynomial approximation in C. Transactions of the American Mathematical Society. volum 373 (2).
- Deng, Fusheng; Fornæss, John Erik. (2019) Flat Bundles Over Some Compact Complex Manifolds. Journal of Geometric Analysis.
- Fornæss, John Erik; Wold, Erlend Fornæss. (2019) An embedding of the unit ball that does not embed into a Loewner chain. Mathematische Zeitschrift.
- Fornæss, John Erik; Wu, Jujie. (2019) Weighted approximation in C. Mathematische Zeitschrift.
- 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. volum 146 (6).
- Bracci, Filippo; Fornæss, John Erik; Wold, Erlend Fornæss. (2018) Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains. Mathematische Zeitschrift.
- Diederich, K; Fornæss, John Erik. (2018) Boundary behavior of the Bergman metric. Asian Journal of Mathematics. volum 22 (2).
- Fornæss, John Erik; Rong, Feng. (2018) Estimate of the squeezing function for a class of bounded domains. Mathematische Annalen. volum 371 (3-4).
- Fornæss, John Erik; Shcherbina, Nikolay. (2018) A Domain with Non-plurisubharmonic Squeezing Function. Journal of Geometric Analysis. volum 28.
- 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. volum 297 (1).
- Fornæss, John Erik; Forstneric̆, Franc. (2017) Preface. International Journal of Mathematics. volum 28:1702001 (9).
- Fornæss, John Erik; Peters, Han. (2017) Complex dynamics with focus on the real part. Ergodic Theory and Dynamical Systems. volum 37 (1).
- 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. volum 28.
- Diederich, Klas; Fornæss, John Erik; Wold, Erlend Fornæss. (2016) A characterization of the ball in Cn. International Journal of Mathematics. volum 27 (9).
- Fornæss, John Erik. (2016) On a conjecture by Blocki and Zwonek. Science China Mathematics.
- Fornæss, John Erik; Wold, Erlend Fornæss. (2016) Non-autonomous basins with uniform bounds are elliptic. Proceedings of the American Mathematical Society. volum 144 (11).
- Boc-Thaler, Luka; Fornæss, John Erik; Peters, Han. (2015) Fatou components with punctured limit sets. Ergodic Theory and Dynamical Systems. volum 35 (5).
- Fornæss, John Erik; Kim, Kang-Tae. (2015) Some problems. Springer Proceedings in Mathematics & Statistics. volum 144.
- Fornæss, John Erik; Wold, Erlend Fornæss. (2015) An estimate for the squeezing function and estimates of invariant metrics. Springer Proceedings in Mathematics & Statistics. volum 144.
- Bracci, Filippo; Fornæss, John Erik. (2014) The range of holomorphic maps at boundary points. Mathematische Annalen. volum 359 (3-4).
- Fornæss, John Erik; Lee, Lina; Zhang, Yuan. (2014) Formal complex curves in real smooth hypersurfaces. Illinois Journal of Mathematics. volum 58 (1).
- Fornæss, John Erik; Rong, Feng. (2014) Classification of recurrent domains for holomorphic maps on complex projective spaces. Journal of Geometric Analysis. volum 24 (2).
- 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. volum 24 (4).
- Fornæss, John Erik; Mihailescu, Eugen. (2013) Equilibrium measures in saddle sets of holomorphic maps on P^2. Mathematische Annalen. volum 356 (4).
- Fornæss, John Erik; Sibony, Nessim; Wold, Erlend Fornæss. (2013) Q-Complete domains with corners in P-n and extension of line bundles. Mathematische Zeitschrift. volum 273 (1-2).
- Fornæss, John Erik; Stensønes, Berit. (2012) Infinite type germs of real analytic pseudoconvex domains in C^3. Complex Variables and Elliptic Equations.
- Fornæss, John Erik; Lee, Line; Zhang, Yuan. (2011) On Supnorm Estimates for ∂ on Infinite Type Convex Domains in C^2. Journal of Geometric Analysis. volum 29.
- Fornæss, John Erik; Wold Fornæss, Erlend. (2011) Examples of minimal laminations and associated currents. Mathematische Zeitschrift.
Books
- Fornæss, John Erik; Irgens, Marius; Wold, Erlend Fornæss. (2015) Complex Geometry and Dynamics. Springer. 2015. ISBN 978-3-319-20336-2.
- Fornæss, John Erik. (1993) Several Complex Variables: Proceedings of the Mittag-Leffler Institute, 1987-1988. Princeton University Press. 1993. ISBN 9780691631073.