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A list of all the posts and pages found on the site. For you robots out there is an XML version available for digesting as well.
Pages
Posts
Future Blog Post
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Blog Post number 4
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Blog Post number 3
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Blog Post number 2
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Blog Post number 1
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portfolio
publications
Singular Integrals and Beltrami Type Operators in the Plane and Beyond
Publisher: University of Helsinki, 2011. Masters Thesis.
Authors: Aleksis Koski
Quaternionic Beltrami Equations with VMO Coefficients
Publisher: The Journal of Geometric Analysis, 2013. Published article.
Authors: Aleksis Koski
On Second Order Beltrami Systems
Publisher: Indiana University Mathematics Journal, 2015. Published article.
Authors: Aleksis Koski
Elliptic Partial Differential Equations in Geometric Analysis and the Calculus of Variations
Publisher: University of Helsinki, 2016. Doctoral Thesis.
Authors: Aleksis Koski
Subharmonicity results for the stationary solutions of isotropic energy functionals
Publisher: Advances in Calculus of Variations, 2016. Published article.
Authors: Aleksis Koski
Isotropic p-harmonic systems in 2D Jacobian estimates and univalent solutions
Publisher: Revista Matemática Iberoamericana, 2016. Published article.
Authors: Tadeusz Iwaniec, Aleksis Koski, Jani Onninen
Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian
Publisher: Annales de l Institut Henri Poincaré C, Analyse non linéaire, 2017. Published article.
Authors: Kari Astala, Albert Clop, Daniel Faraco, Jarmo Jääskeläinen, Aleksis Koski
Radial Symmetry of p-Harmonic Minimizers
Publisher: Archive for Rational Mechanics and Analysis, 2018. Published article.
Authors: Aleksis Koski, Jani Onninen
The Radó-Kneser-Choquet theorem for p-harmonic mappings between Riemannian surfaces
Publisher: Revista Matemática Iberoamericana, 2020. Published article.
Authors: Tomasz Adamowicz, Aleksis Koski, Jarmo Jääskeläinen
Radial symmetry of minimizers to the weighted Dirichlet energy
Publisher: Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2020. Published article.
Authors: Aleksis Koski, Jani Onninen
Improved Hölder regularity for strongly elliptic PDEs
Publisher: Journal de Mathématiques Pures et Appliquées, 2020. Published article.
Authors: Kari Astala, Albert Clop, Daniel Faraco, Jarmo Jääskeläinen, Aleksis Koski
Sobolev homeomorphic extensions onto John domains
Publisher: Journal of Functional Analysis, 2020. Published article.
Authors: Pekka Koskela, Aleksis Koski, Jani Onninen
Sobolev homeomorphic extensions
Publisher: Journal of the European Mathematical Society, 2021. Published article.
Authors: Aleksis Koski, Jani Onninen
Sobolev homeomorphic extensions from two to three dimensions
Publisher: arXiv:2112.14767, 2021. Preprint.
Authors: Stanislav Hencl, Aleksis Koski, Jani Onninen
Analytic characterization of monotone Hopf-harmonics
Publisher: Calculus of Variations and Partial Differential Equations, 2022. Published article.
Authors: Ilmari Kangasniemi, Aleksis Koski, Jani Onninen
The Sobolev Jordan-Schönflies problem
Publisher: Advances in Mathematics, 2023. Published article.
Authors: Aleksis Koski, Jani Onninen
Bi-Sobolev extensions
Publisher: The Journal of Geometric Analysis, 2023. Published article.
Authors: Aleksis Koski, Jani Onninen
The local Burkholder functional, quasiconvexity and Geometric Function Theory
Publisher: https://arxiv.org/abs/2309.03495, 2024. Preprint.
Authors: Kari Astala, Daniel Faraco, André Guerra, Aleksis Koski, Jan Kristensen
Extension of planar Hölder homeomorphisms
Publisher: Journal of the London Mathematical Society, 2024. Published article.
Authors: Stanislav Hencl, Aleksis Koski
Lower semicontinuity, Stoilow factorization and principal maps
Publisher: Communications on Pure and Applied Analysis, 2024. Published article.
Authors: Kari Astala, Daniel Faraco, André Guerra, Aleksis Koski, Jan Kristensen
Characterizing Sobolev Homeomorphic Extensions via Internal Distances
Publisher: https://arxiv.org/abs/2503.21132, 2025. Preprint.
Authors: Aleksis Koski, Jani Onninen, Haiqing Xu
talks
Sobolev Homeomorphic Extensions
Published:
The Bi-Sobolev extension problem
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Sobolev Homeomorphic Extensions
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teaching
Course assistant for various courses during 2010-2021
Various, University of Helsinki, 2011
Tietokoneavusteinen matematiikka
Bachelor course, University of Jyväskylä, 2017
Laskennallinen lineaarinen algebra ja geometria
Bachelor course, University of Jyväskylä, 2018
Tietokoneavusteinen matematiikka
Bachelor course, University of Jyväskylä, 2018
Laskennallinen lineaarinen algebra ja geometria
Bachelor course, University of Jyväskylä, 2019
Johdatus Matemaattiseen Analyysiin I
Bachelor course, University of Jyväskylä, 2019
Convex Analysis and Optimization I-II
Masters course, University of Helsinki, 2022
Harmonic Analysis II
Advanced course, University of Helsinki, 2023
General Topology 2024 & 2025
Advanced course, Aalto University, 2024