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Contact information

Jouni Parkkonen
Department of Mathematics and Statistics
P. O. Box 35
40014 University of Jyväskylä

tel. +358 14 260 2705

parkkone@maths.jyu.fi

Publications

  1. Geometric complex analytic coordinates for deformation spaces of Koebe groups. Ann. Acad. Sci. Fenn. Math. Diss. No. 102 (1995)
  2. (with John R. Parker) Coordinates for quasi-Fuchsian punctured torus spaces. The Epstein birthday schrift, Geom. Topol. Monogr. 1, 451-478, 1998.
  3. The outside of the Teichmüller space of punctured tori in Maskit's embedding. Ann. Acad. Sci. Fenn. Math. 24 (1999) 305-342. A slightly expanded version can be found here
  4. (with Frédéric Paulin) Diophantine Approximation on Hyperbolic Surfaces, in ``Rigidity, geometry and number theory (Cambridge, 2000)'', M. Burger, A. Iozzi eds, Springer Verlag, 2002.
  5. Geometric limits of cyclic groups and the shape of Schottky space, Math. Proc. Cambridge Philos. Soc. 137 (2004) 55-68.
  6. Conformal Dehn surgery and the shape of Maskit's embedding, Conformal Geometry and Dynamics 8 (2004), 143-157.
  7. (with Frédéric Paulin) Unclouding the sky of negatively curved manifolds, Geom. Funct. Anal. 15 (2005) 491-533
  8. (with Vesa Ruuska) Finite degree branched covers of compact Riemann surfaces, Acta Mathematica Sinica 23 (2007) 89-94.
  9. (with Yohei Komori) On the shape of Bers-Maskit slices, Ann. Acad. Sci. Fenn. 32 (2007) 179-198.
  10. (avec Frédéric Paulin) Sur les rayons de Hall en approximation diophantienne, C. R. Math. Acad. Sci. Paris Ser. I 344 (2007) 611-614.
  11. (with Frédéric Paulin) On the closedness of approximation spectra, Journal de théorie des nombres de Bordeaux 21 (2009) 701-710.
  12. (with Frédéric Paulin) Prescribing the behaviour of geodesics in negative curvature, Geometry & Topology 14 (2010) 277-392
  13. (with Frédéric Paulin) Equidistribution, counting and arithmetic applications, Oberwolfach Reports 7 (2010), 1737-1739.
  14. (with Frédéric Paulin) Spiraling spectra of geodesic lines in negatively curved manifolds, Math. Z. 268 (2011), 101-142.
  15. (with Frédéric Paulin) On the representation of integers by indefinite binary Hermitian forms, Bull. London Math. Soc. 43(2011), 1048-1058.
  16. (avec Frédéric Paulin) Équidistribution, comptage et approximation par irrationnels quadratiques, J. Mod. Dyn. 6(2012), 1-40.
  17. (with Frédéric Paulin) On strictly convex subsets in negatively curved manifolds, to appear in J. Geom. Anal.
  18. (with Frédéric Paulin) On the arithmetic and geometry of binary Hamiltonian forms with an appendix by Vincent Emery, to appear in Algebra & Number Theory

Preprints

  1. (with Frédéric Paulin) Skinning measures in negative curvature and equidistribution of equidistant submanifolds.
  2. (with Frédéric Paulin) Counting arcs in negative curvature.

Illustrations

Some limit sets and deformation spaces of Koebe groups can be found here.