Leo Reino Sario (18 May 1916 – 15 August 2009) was a Finnish-born mathematician who worked on

complex analysis Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates Function (mathematics), functions of complex numbers. It is helpful in many branches of mathemati ...

and Riemann surfaces.

Early life and education

After service as a Finnish artillery officer in the Winter War and World War II, he received his PhD in 1948 under Rolf Nevanlinna at the University of Helsinki.

Career

Nevanlinna and Sario were founding members of the

Academy of Finland The Academy of Finland ( fi, Suomen Akatemia, sv, Finlands Akademi) is a governmental funding body for scientific research in Finland. It is based in Helsinki. Yearly, the Academy administers over 260 million euros to Finnish research activities. O ...

, and there is a statue on the Academy grounds named after Sario. Sario moved to the United States in 1950 and obtained temporary positions at the Institute for Advanced Study,Sario, Leo Reino – Institute for Advanced Study Visiting Scholar
/ref> MIT,

Stanford University Stanford University, officially Leland Stanford Junior University, is a private research university in Stanford, California. The campus occupies , among the largest in the United States, and enrolls over 17,000 students. Stanford is consider ...

, and Harvard University. In 1954 he became a professor at UCLA, remaining there until his retirement in 1986. He was the author or co-author of five major books on complex analysis and over 130 papers. He supervised 36 doctoral students, including Kōtarō Oikawa and

Burton Rodin Burton Rodin is an American mathematician known for his research in conformal mappings and Riemann surfaces. He is a professor emeritus at the University of California, San Diego. Education Rodin received a Ph.D. at the University of California, ...

Awards and honors

In 1957 he was awarded the Cross of the Commander of Finland's Order of Knighthood. He was a Guggenheim Fellow for the academic year 1957–1958.

Selected publications

*with Lars Ahlfors: Riemann surfaces, Princeton Mathematical Series 26, Princeton University Press 19602015 pbk reprint
*with Kiyoshi Noshiro: Value Distribution Theory, Van Nostrand 19662013 pbk reprint
*with Burton Rodin: Principal Functions, Springer 1968, Van Nostrand 1968

*with Kōtarō Oikawa: Capacity Functions, Grundlehren der mathematischen Wissenschaften 149, Springer 1969 *with Mitsuru Nakai: Classification Theory of Riemann Surfaces, Grundlehren der mathematischen Wissenschaften 164, Springer 1970
2012 pbk reprint
*with Mitsuru Nakai, Cecilia Wang, Lung Ock Chung: Classification Theory of Riemannian Manifolds : Harmonic, quasiharmonic and biharmonic functions, Lecture Notes in Mathematics 605, Springer 1977
2006 pbk reprint
*Capacity of a boundary and of a boundary element, Annals of Mathematics, vol. 59, 1954, pp. 135–144

References

Complex analysts Mathematical analysts 20th-century Finnish mathematicians Finnish emigrants to the United States Institute for Advanced Study visiting scholars University of Helsinki alumni University of California, Los Angeles faculty 1916 births 2009 deaths {{mathematician-stub