Kai Rajala
- Professor
- Office: MaD 358
- Phone: (040) 805 3465
- Email: kai.i.rajala 'at' jyu.fi
Opetus/Teaching
Spring 2024: MATS215 Algebraic Topology
Recent publications and preprints
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Conformal uniformization of domains bounded by quasitripods, preprint, 2024. (with B. Esmayli) preprint
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Exhaustions of circle domains, preprint, 2023. (with D. Ntalampekos) preprint
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Mappings of finite distortion on metric surfaces, preprint, 2023. (with D. Meier) preprint
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Coarea inequality for monotone functions on metric surfaces, Trans. Amer. Math. Soc., 376 (2023), 7377--7406. (with B. Esmayli and T. Ikonen) preprint
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Uniformization of planar domains by exhaustion, Amer. J. Math, to appear. preprint
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Quasisymmetric Koebe uniformization with weak metric doubling measures, Illinois J. Math. 65 (2021), no. 4, 749--767. (with M. Rasimus) preprint
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Uniformization with infinitesimally metric measures, J. Geom. Anal., 31 (2021), no. 11, 11445--11470. (with M. Rasimus and M. Romney) preprint
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Duality of moduli in regular metric spaces, Indiana Univ. Math. J., 70 (2021), no. 3, 1087--1102. (with A. Lohvansuu) preprint
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Reciprocal lower bound on modulus of curve families in metric spaces, Ann. Acad. Sci. Fenn. Math., 44 (2019), no. 2, 681--692. (with M. Romney) preprint
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Quasispheres and metric doubling measures, Proc. Amer. Math. Soc., 146 (2018), no. 7, 2973--2984. preprint (with A. Lohvansuu and M. Rasimus)
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Uniformization of two-dimensional metric surfaces, Invent. Math., 207 (2017), no. 3, 1301--1375. preprint