Pertti Esko Juhani Mattila earned his doctorate from the University of Helsinki in 1973 under the guidance of Jussi Väisälä. Throughout his career, he has focused his mathematical inquiry on geometric measure theory, complex analysis, and harmonic analysis, establishing himself as a significant figure within the Finnish academic community while contributing to the global development of these complex fields.
Academic Appointments and Research
Mattila's professional trajectory moved through several prestigious institutions. After completing his graduate studies, he undertook postdoctoral research at Princeton University in 1979. He later transitioned into a faculty position in 1989 as a Professor of Mathematics at the University of Jyväskylä. In 2003, he returned to the University of Helsinki to assume the role of Professor of Mathematics within the Department of Mathematics and Statistics, where he continues his involvement in research through the Centre of Excellence in Analysis and Dynamics Research.
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The research conducted by Mattila has yielded critical insights into geometric measure theory. He is credited with developing a counterexample to the general Vitushkin's conjecture, a major milestone in the field. Additionally, his collaboration with Mark Melnikov and Joan Verdera introduced novel techniques for analyzing the geometric structure of removable sets concerning complex analytic functions. These developments provided a foundation that eventually allowed Xavier Tolsa to reach the solution for Painlevé's problem.
Publications and Mentorship
His primary publication, "Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability," published by Cambridge University Press in 1995, has become a standard textbook used by researchers globally. Beyond his writing, Mattila has been central to establishing a dedicated school for geometric measure theory in Finland. According to the Mathematics Genealogy Project, he has supervised 15 doctoral students, fostering the growth of the next generation of specialists in the discipline.
Recognition and Professional Standing
The academic community has acknowledged Mattila's influence through various platforms and honors. In 1998, he served as an Invited Speaker at the International Congress of Mathematicians held in Berlin. He also served as the director of the Centre of Excellence of Geometric Analysis and Mathematical Physics from 2002 to 2007. In recognition of his service and contributions, he was appointed Knight First Class of the Order of the White Rose of Finland.
Fast facts
- Born: 28 March 1948
- Nationality: Finland
- Doctoral Supervisor: Jussi Väisälä
- PhD Graduation Year: 1973
- Notable Book: Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability
- Award: Knight First Class of the Order of the White Rose of Finland
- Primary Fields: Geometric measure theory, complex analysis, harmonic analysis
Questions readers ask
What is Pertti Mattila's contribution to Vitushkin's conjecture?
He is recognized for producing a counterexample to the general version of the conjecture.
How many PhD students has he supervised?
The Mathematics Genealogy Project records that he has supervised 15 PhD students.
Achievements
- Knight First Class of the Order of the White Rose of Finland
- Held posts at Princeton University
- Fields: mathematics