Department of Mathematics and Systems Analysis

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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

• MS-C1300 Complex analysis
• MS-C1530 Curves and surfaces
• Mat-1.3531 Differential geometry (Riemannian geometry)
•  MS-E0531 Differential geometry
•  Mat-1.3000 Crystal Flowers in Halls of Mirrors: Mathematics meets Art and Architecture
• Mat-1.13284 Analysis and geometry seminar
• Independent studies from various topics above and more, please contact Kirsi

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

• Quasiweekend II-Ten years after, Dec 10th-13th 2015
• Rolf Nevanlinna Colloquium, 2013
  
• Fred Gehring Celebration, 2013
• Quasiweekend, 2005

Supervised PhDs

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