Pekka Tukia
{{short description|Finnish mathematician}}
Pekka Pertti Tukia (born 3 November 1945 in Pihtipudas{{Cite book | editor=Ellonen, Leena | title=Suomen professorit 1640–2007 Finlands professorer | page=753 | location=Helsinki | publisher=Professoriliitto | year=2008 | isbn=978-952-99281-1-8 | language=Finnish, Swedish }}) is a Finnish mathematician{{cite web|title=Tukia, Pekka|website=University of Helsinki |url=https://wiki.helsinki.fi/display/mathstatHenkilokunta/Tukia%2C+Pekka}} who does research on Kleinian groups and their geometric properties (such as limit sets).
Tukia received his PhD in 1972 with thesis advisor Kaarlo Virtanen in Helsinki.{{MathGenealogy|id = 58642}} Tukia is a professor at the University of Helsinki.
He made substantial contributions to the collective work of about a dozen mathematicians who proved the Seifert fiber space conjecture.{{cite arXiv|author=Préaux, Jean-Philippe|title=A survey on Seifert fibre space conjecture|eprint=1202.4142|year=2012|class=math.AT}} In 1992 he was an invited speaker with talk Generalizations of Fuchsian and Kleinian groups at the European Congress of European Mathematicians in Paris. In 1994 he was an invited speaker with talk A survey of Möbius groups at the International Congress of Mathematicians in Zürich.
Selected publications
- {{cite journal | title=On two dimensional quasiconformal groups | journal=Annales Academiæ Scientiarum Fennicæ | series=Series A | volume=5 | date=1980 | pages=73–78 | doi=10.5186/aasfm.1980.0530 | doi-access=free |citeseerx=10.1.1.732.909 | last1=Tukia | first1=Pekka }}
- {{cite journal | title=A quasiconformal group not isomorphic to the Möbius group | journal=Annales Academiæ Scientiarum Fennicæ | series=Series A | volume=6 | date=1981 | pages=149–160 | doi=10.5186/aasfm.1981.0625 | doi-access=free | last1=Tukia | first1=Pakka }}
- {{cite journal | title=The Hausdorff dimension of the limit set of a geometrically finite Kleinian groups | journal=Acta Mathematica | volume=152 | date=1984 | pages=127–140 | doi=10.1007/BF02392194 | doi-access=free | last1=Tukia | first1=Pekka }}
- {{cite journal | title=On limit sets of geometrically finite Kleinian groups | journal=Mathematica Scandinavica | volume=57 | date=1985 | pages=29–43 | doi=10.7146/math.scand.a-12104 | doi-access=free | last1=Tukia | first1=Pekka }}
- {{cite journal | title=Differentiability and rigidity of Möbius groups | journal=Inventiones Mathematicae | volume=82 | date=1985 | pages=557–578 | doi=10.1007/BF01388870 | doi-access= | last1=Tukia | first1=Pekka | issue=3 | bibcode=1985InMat..82..557T | s2cid=123260399 }}
- {{cite journal | title=Quasiconformal extension of quasisymmetric mappings compatible with a Möbius group | journal=Acta Mathematica | volume=154 | issue=3–4 | date=1985 | pages=153–193 | doi=10.1007/BF02392471 | doi-access=free | last1=Tukia | first1=Pekka }}
- {{cite journal | title=On isomorphisms of geometrically finite Möbius groups | journal=Publications Mathématiques de l'IHÉS | volume=61 | date=1985 | pages=171–214 | doi=10.1007/BF02698805 | doi-access=free| url=http://www.numdam.org/item/PMIHES_1985__61__171_0.pdf | last1=Tukia | first1=Pekka }}
- {{cite journal | title=On quasiconformal groups | journal=Journal d'Analyse Mathématique | volume=46 | date=1986 | pages=318–346 | doi=10.1007/BF02796595 | doi-access= | last1=Tukia | first1=Pekka | s2cid=120093947 }}
- {{cite journal | title=A rigidity theorem for Möbius groups | journal=Inventiones Mathematicae | volume=97 | date=1989 | pages=405–431 | doi=10.1007/BF01389048 | doi-access= | last1=Tukia | first1=P. | issue=2 | bibcode=1989InMat..97..405T | s2cid=121594611 }}
- {{cite journal | title=Hausdorff dimension of quasisymmetric mappings | journal=Mathematica Scandinavica | volume=65 | date=1989 | pages=152–160 | jstor=24492095 | doi=10.7146/math.scand.a-12274 | doi-access=free | last1=Tukia | first1=Pekka | issue=1 }}
- {{cite journal | title=Mostow-rigidity and non-compact hyperbolic manifolds | journal=Quarterly Journal of Mathematics | volume=42 | issue=1 | date=1991 | pages=219–226 | doi=10.1093/qmath/42.1.221 | last1=Tukia | first1=Pekka }}
- {{cite journal | url=http://www.thebookshelf.auckland.ac.nz/docs/NZJMaths/nzjmaths025/nzjmaths025-01-010.pdf | title=Convergence groups and Gromov's metric hyperbolic spaces | journal=New Zealand Journal of Mathematics | volume=23 | date=1994 | pages=157–187}}
- {{cite journal | title=Teichmüller sequences on trajectories invariant under a Kleinian group | journal=Journal d'Analyse Mathématique | volume=99 | date=2006 | pages=35–87 | doi=10.1007/BF02789442 | doi-access= | last1=Tukia | first1=Pekka | s2cid=121882279 }}
- {{cite journal | title=Limits of Teichmüller maps | journal=Journal d'Analyse Mathématique | volume=125 | date=2015 | pages=71–111 | doi=10.1007/s11854-015-0003-7 | doi-access= | last1=Tukia | first1=Pekka | s2cid=255398787 }}
- with James W. Anderson and Kurt Falk: {{cite journal | title=Conformal measures associated to ends of hyperbolic n-manifolds | journal=Quarterly Journal of Mathematics | volume=58 | date=2007 | pages=1–15 | arxiv=math/0409582 | doi=10.1093/qmath/hal019 | last1=Anderson | first1=James W. | last2=Falk | first2=Kurt | last3=Tukia | first3=Pekka }}
References
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Category:Finnish mathematicians
Category:University of Helsinki alumni