Kai Rajala

Professor
Office: MaD 358
Phone: (040) 805 3465
Email: kai.i.rajala 'at' jyu.fi

Opetus/Teaching

Spring 2024: MATS215 Algebraic Topology

Aiempi opetus/Previous teaching

Recent publications and preprints

  1. Conformal uniformization of domains bounded by quasitripods, preprint, 2024. (with B. Esmayli) preprint
  2. Exhaustions of circle domains, preprint, 2023. (with D. Ntalampekos) preprint
  3. Mappings of finite distortion on metric surfaces, preprint, 2023. (with D. Meier) preprint
  4. Coarea inequality for monotone functions on metric surfaces, Trans. Amer. Math. Soc., 376 (2023), 7377--7406. (with B. Esmayli and T. Ikonen) preprint
  5. Uniformization of planar domains by exhaustion, Amer. J. Math, to appear. preprint
  6. Quasisymmetric Koebe uniformization with weak metric doubling measures, Illinois J. Math. 65 (2021), no. 4, 749--767. (with M. Rasimus) preprint
  7. Uniformization with infinitesimally metric measures, J. Geom. Anal., 31 (2021), no. 11, 11445--11470. (with M. Rasimus and M. Romney) preprint
  8. Duality of moduli in regular metric spaces, Indiana Univ. Math. J., 70 (2021), no. 3, 1087--1102. (with A. Lohvansuu) preprint
  9. 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
  10. Quasispheres and metric doubling measures, Proc. Amer. Math. Soc., 146 (2018), no. 7, 2973--2984. preprint (with A. Lohvansuu and M. Rasimus)
  11. Uniformization of two-dimensional metric surfaces, Invent. Math., 207 (2017), no. 3, 1301--1375. preprint

All publications and preprints