Publications
Published
I. Kangasniemi and J. Onninen, Quasiregular values and Rickman's Picard Theorem. E-publication ahead of print, Geom. Funct. Anal. (GAFA), 2024. ArXiv. EPub.
A. Doležalová, I. Kangasniemi and J. Onninen, Mappings of generalized finite distortion and continuity. Published in J. London Math. Soc., Vol. 109(1), 2024. ArXiv. EPub.
D. Bate, I. Kangasniemi and T. Orponen, Cheeger's differentiation theorem via the multilinear Kakeya inequality. Published in Pure Appl. Funct. Anal., Vol. 8(6), pp. 1587-1602, 2023. ArXiv. EPub.
I. Kangasniemi and J. Onninen, On the heterogeneous distortion inequality. Published in Math. Ann., Vol. 384, pp. 1275-1308, 2022. ArXiv. EPub.
I. Kangasniemi and J. Onninen, Fibers of monotone maps of finite distortion. Published in J. Geom. Anal., Vol. 32(12), 2022. ArXiv. EPub.
I. Kangasniemi. Obstructions for automorphic quasiregular maps and Lattès-type uniformly quasiregular maps. Published in J. Anal. Math., Vol. 146, pp. 401-439, 2022. ArXiv. EPub.
I. Kangasniemi, A. Koski and J. Onninen, Analytic characterization of monotone Hopf-harmonics. Published in Calc. Var. Partial Differential Equations, Vol 61(4), 2022. ArXiv. EPub.
I. Kangasniemi, Conformally formal manifolds and the uniformly quasiregular non-ellipticity of (𝕊²×𝕊²)#(𝕊²×𝕊²). Published in Adv. Math., Vol. 393, 2021. ArXiv. EPub.
I. Kangasniemi, Y. Okuyama, P. Pankka and T. Sahlsten, Entropy in uniformly quasiregular dynamics. Published in Ergod. Theory Dyn. Sys., Vol. 41(8), pp. 2397-2427, 2021. ArXiv. EPub.
I. Kangasniemi. Sharp cohomological bound for uniformly quasiregularly elliptic manifolds. Published in Amer. J. Math., 143(4), pp. 1079-1113, 2021. ArXiv. EPub.
I. Kangasniemi and P. Pankka, Uniform cohomological expansion of uniformly quasiregular mappings. Published in Proc. London Math. Soc., 118(3), pp. 701-728, 2019. ArXiv. EPub.
To appear
I. Kangasniemi and J. Onninen, A single-point Reshetnyak's theorem. Pre-print, 2022. To appear in Trans. Amer. Math. Soc. ArXiv.
Pre-prints
I. Kangasniemi, A Bourgain-Brezis-Mironescu -type characterization for Sobolev differential forms. Pre-print, 2024. ArXiv.
I. Kangasniemi and J. Onninen, Linear distortion and rescaling for quasiregular values. Pre-print, 2024. ArXiv.
I. Kangasniemi and E. Prywes, On the moduli of Lipschitz homology classes. Pre-print, 2022. ArXiv.
Notes
I. Kangasniemi, Notes on quasiregular mappings between Riemannian manifolds. 2021. ArXiv.
PhD Thesis
I. Kangasniemi. Obstructions for uniformly quasiregular maps on closed manifolds. University of Helsinki, 2020. Supervised by P. Pankka. Digital version.
A recording of my dissertation defense is available online. The defense was conducted remotely at the University of Helsinki in May 2020, with Prof. Gaven Martin (Massey University) as the opponent, and Prof. Pekka Pankka (University of Helsinki - thesis supervisor) as the custos.