Department of Mathematics and Systems Analysis

Research

Differential geometry and applications

  • Contact and symplectic geometry

  • Geometrisation of physical phenomena

  • Riemann-Finsler geometry

  • Heisenberg group

  • Quasiconformal and quasiregular mappings

  • UQR dynamics

  • Hyperbolic geometry and Kleinian groups

  • Seifert fibered spaces

Courses

Visitors

  • Alberto Favaro, Jan 2015
  • Gaven Martin, June-July 2015

Recent publications

  • Fässler, Lukyanenko, Peltonen: Quasiregular mappings on sub-Riemannian manifolds, arXiv:1312.0271, to appear in Journal of Geometric Analysis 2015
  • Isopoussu, Peltonen, Tyson: Quasiregular maps and the conductivity equation in the Heisenberg group,  Contemp Math 590, 2013
  • Balogh, Fässler, Peltonen: Uniformly quasiregular maps on the compactified Heisenberg group J. Geom Anal, 22, 2012

Collaborators

  • Laura Astola
  • Zoltan Balogh
  • Katrin Fässler
  • Anton Isopussu
  • Riikka Kangaslampi
  • Anton Lukyanenko
  • Gaven Martin
  • Volker Mayer
  • Jeremy Tyson
  • Jang-Mei Wu

Events

Supervised PhDs

  • Matias Dahl, 2007
  • Riikka Kangaslampi, 2008
  • Tony Liimatainen, 2013

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