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math.MG2025
The Heinonen-Semmes problems after thirty years
Guy C. David, Pekka Pankka, Jeremy T. Tyson
We survey the current status of the questions posed by Juha Heinonen and Stephen Semmes in `Thirty-three yes or no questions about mappings, measures, and metrics' (Conformal Geome…
math.DG2025
Nodal resolution of quasiregular curves via bubble trees
Pekka Pankka, Jonathan Pim
We prove a version of Gromov's compactness theorem for quasiregular curves into calibrated manifolds with bounded geometry. In our main theorem, given an -dimensional calibratio…
math.DS2025
Rigidity and quasisymmetric uniformization of Thurston-type maps
Zhiqiang Li, Pekka Pankka, Hanyun Zheng
We prove the No Invariant Line Fields conjecture for a class of generalized postcritically-finite branched covers on higher-dimensional Riemannian manifolds. Moreover, we establish…