## Pekka PankkaAssociate Professor ## Contact information
Room: D325 ## TeachingFall 2016: Topologia Ia and Topologia IbFall 2015 (Jyväskylä): Degree theory and Branched covers Fall 2014 (Jyväskylä): Perusryhmä ja peiteavaruus Fall 2013 (Jyväskylä): Introduction to de Rham cohomology ## Preprints- Stoilow's theorem revisited (with Rami Luisto).
## Publications- Local monodromy of branched covers and dimension of the branch set (with Martina Aaltonen).
*Ann. Acad. Sci. Fenn.*(to appear) [arXiv:1509.06617] - Quasiconformal non-parametrizability of almost smooth spheres (with Vyron Vellis).
*Selecta Math. (to appear)*[arXiv:1505.05293] - Free vs. Locally Free Kleinian Groups (with Juan Souto).
*J. Reine Angew. Math.*(to appear) [arXiv:1506.00156]
- Rigidity of extremal quasiregularly elliptic manifolds (with Rami Luisto).
*Groups Geom. Dyn. 10(2)*, 2016 [arXiv:1307.7940]
- Sharpness of Rickman's Picard theorem in all dimensions (with David Drasin).
*Acta Math. 214(2)*, 2015. [arXiv:1304.6998] [slides]
- Rescaling principle for isolated essential singularities of quasiregular mappings (with Yûsuke Okuyama).
*Proc. Amer. Math. Soc. 143, 2015.*[arXiv:1211.2977]
- Quasiregular ellipticity of open and generalized manifolds (with Kai Rajala and Jang-Mei Wu).
*Comput. Methods Funct. Theory 14, 2-3 (Gehring Memorial Volume)*, 2014. [arXiv:1310.8595]
- Geometry and quasisymmetric parametrization of Semmes spaces (with Jang-Mei Wu).
*Rev. Mat. Iberoameracana 30(3), 2014.*[arXiv:1111.2197]
- Equilibrium measures for uniformly quasiregular dynamics (with Yûsuke Okuyama).
*J. London Math. Soc. 89(2), 2014.*[arXiv:1204.6503]
- Distributional limits of Riemannian manifolds and graphs with sublinear genus growth (with Hossein Namazi and Juan Souto).
*Geom. Funct. Anal. 24(1), 2014.*[arXiv:1208.2130]
- Closed BLD-elliptic manifolds have virtually Abelian fundamental groups (with Enrico Le Donne).
*New York J. Math. 20*, 2014. [arXiv:1312.1308]
- Accumulation of periodic points for local uniformly quasiregular mappings (with Yûsuke Okuyama). In
*RIMS Kôkyûroku Bessatsu B43, 2013.*[arXiv:1306.3298]
- On the non-existence of certain branched covers (with Juan Souto).
*Geometry & Topology 16*, 2012. [arXiv:1008.1694] PDF
- Slow mappings of finite distortion (with Jani Onninen).
*Math. Ann. 354 (2)*, 2012. PDF
- Quasiregularly elliptic link complements (with Kai Rajala).
*Geom. Dedicata 154 (1)*, 2011. PDF - Quasiconformal extension fields (with Kai Rajala).
*Calc. Var. Partial Differential Equations 42(1-2)*, 2011. [arXiv:1006.2259] PDF
- Mappings of bounded mean distortion and cohomology.
*Geom. Funct. Anal. 20(1)*, 2010. PDF
- Quasiconformal frames (with Juha Heinonen and Kai Rajala).
*Arch. Rat. Mech. Anal. 196(3)*, 2010. PDF
- Sharp exponential integrability for traces of monotone Sobolev functions (with Pietro Poggi-Corradini and Kai Rajala).
*Nagoya Math. Jour. 192*, 2009. [arXiv:math.AP/072332]
- Slow quasiregular mappings and universal coverings.
*Duke Math. J. 141(2)*, 2008. - p-Laplace operator, quasiregular mappings, and Picard-type theorems (with Ilkka Holopainen). In
*Quasiconformal Mappings and their Applications*, 2007, pp. 117-150. PS PDF
- Quasiregular mappings from a punctured ball into compact manifolds.
*Conform. Geom. Dyn. 10,*2006.
- A big Picard theorem for quasiregular mappings into manifolds with many ends (with Ilkka Holopainen).
*Proc. Amer. Math. Soc. 133,*2005.
- Mappings of finite distortion: Global homeomorphism theorem (with Ilkka Holopainen).
*Ann. Acad. Sci. Fenn. Ser. A I Math. 29,*2004.
- Mappings of finite distortion and weighted parabolicity. In
*Future trends in geometric function theory*(D. Herron, eds.),*Rep. Univ. Jyväskylä Dept. Math. Stat. 92*, 2003. PS PDF
## Other- Global behavior of quasiregular mappings and mappings of finite distortion under parabolic assumptions on spaces.
*Dissertation,*University of Helsinki, 2005. PDF
- Six hours on quasiregular mappings.
*Lecture notes,*April 2014. PDF
- Erään esimerkin tarina.
*Arkhimedes*(in Finnish, to appear). PDF
## See also
Geometry in May University of Helsinki, May 2-3, 2017.
Quasiweekend 2 - ten years after University of Helsinki, December 10-13, 2015.
A quasiconformal life: Celebration of the legacy and work of F.W.Gehring University of Helsinki, August 11-12, 2013.
Quasiconformal Mappings and Analysis on Metric Spaces |