Pertti Mattila

Pertti Mattila (born 28 March 1948) is a Finnish mathematician working in geometric measure theory, complex analysis and harmonic analysis.[1][2] He is Professor of Mathematics in the Department of Mathematics and Statistics at the University of Helsinki, Finland.

For the Finnish Olympic skier, see Pertti Mattila (skier).
Pertti Mattila
Born (1948-03-28) 28 March 1948
NationalityFinnish
Alma materUniversity of Helsinki
Known forGeometric measure theory
AwardsMagnus Ehrnrooth Foundation prize in Mathematics (2000)
Scientific career
FieldsMathematics
InstitutionsPrinceton University, University of Jyväskylä, University of Helsinki
ThesisIntegration in a Space of Measures (1973)
Doctoral advisorJussi Väisälä

He is known for his work on geometric measure theory and in particular applications to complex analysis and harmonic analysis. His work include a counterexample to the general Vitushkin's conjecture[3] and with Mark Melnikov and Joan Verdera he introduced new techniques to understand the geometric structure of removable sets for complex analytic functions[4] which together with other works in the field eventually led to the solution of Painlevé's problem by Xavier Tolsa.[5][6]

His book Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability[7] is now a widely cited[8] and a standard textbook in this field.[9] Mattila has been the leading figure on creating the geometric measure theory school in Finland and the Mathematics Genealogy Project cites he has supervised so far 15 PhD students in the field.

He obtained his PhD from the University of Helsinki under the supervision of Jussi Väisälä in 1973. He worked at the Institute for Advanced Study at the Princeton University for postdoctoral research in 1979 and from 1988 as Professor of Mathematics at the University of Jyväskylä until appointed as Professor of Mathematics at the University of Helsinki in 2003.[10] In 1998 he was an Invited Speaker of the International Congress of Mathematicians in Berlin.[11] Mattila was the director of the Academy of Finland funded Centre of Excellence of Geometric Analysis and Mathematical Physics from 2002 to 2007 and currently part of the Centre of Excellence in Analysis and Dynamics Research in the University of Helsinki.[6]

References
  1. "Pertti Mattila's webpage at the University of Helsinki".
  2. "Pertti Mattila's publications in the University of Helsinki database".
  3. Mattila, Pertti (1986), "Smooth Maps, Null-Sets for Integralgeometric Measure and Analytic Capacity", Annals of Mathematics, 123 (2): 303–309, doi:10.2307/1971273
  4. Mattila, Pertti; Melnikov, Mark; Verdera, Joan (1996), "The Cauchy Integral, Analytic Capacity, and Uniform Rectifiability", Annals of Mathematics, 144 (1): 127–136, doi:10.2307/2118585
  5. Tolsa, Xavier (2003), "Painleve's problem and the semiadditivity of analytic capacity", Acta Mathematica, 190 (1): 105–149, arXiv:math/0204027, doi:10.1007/bf02393237
  6. "Personnel page of the Centre of Excellence in Analysis and Dynamics Research".
  7. Mattila, Pertti (1995), Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability, London: Cambridge University Press, p. 356, ISBN 978-0-521-65595-8
  8. "Geometry of Sets and Measures in Euclidean Spaces citations in Scholarpedia".
  9. Das, Tushar (3 July 2017). "Review of Fourier Analysis and Hausdorff Dimension by Pertti Mattila". MAA Reviews, Mathematical Association of America.
  10. "Institute for Advanced Study records of Pertti Mattila". Archived from the original on 3 March 2016. Retrieved 10 December 2014.
  11. Mattila, Pertti (1998). "Rectifiability, analytic capacity, and singular integrals". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. II. pp. 657–664.

Bibliography
  • Mattila, Pertti (1995). Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability. Cambridge University Press.


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