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Encyclopedia > Lars Ahlfors

Lars Valerian Ahlfors (April 18, 1907October 11, 1996) was a Finnish mathematician, remembered for his work in the field of Riemann surfaces and his text on complex analysis. is the 108th day of the year (109th in leap years) in the Gregorian calendar. ... Year 1907 (MCMVII) was a common year starting on Tuesday (link will display the full calendar) of the Gregorian calendar (or a common year starting on Monday of the 13-day-slower Julian calendar). ... is the 284th day of the year (285th in leap years) in the Gregorian calendar. ... Year 1996 (MCMXCVI) was a leap year starting on Monday (link will display full 1996 Gregorian calendar). ... Leonhard Euler, considered one of the greatest mathematicians of all time A mathematician is a person whose primary area of study and research is the field of mathematics. ... Riemann surface for the function f(z) = sqrt(z) In mathematics, particularly in complex analysis, a Riemann surface, named after Bernhard Riemann, is a one-dimensional complex manifold. ... Plot of the function f(x)=(x2-1)(x-2-i)2/(x2+2+2i). ...


He was born in Helsinki, the son of a Professor of Engineering. He studied at University of Helsinki from 1924, graduating in 1928 having studied under Ernst Lindelöf and Rolf Nevanlinna. Location of Helsinki in Northern Europe Coordinates: , Country Province Region Uusimaa Sub-region Helsinki Charter 1550 Capital city 1812 Government  - Mayor Jussi Pajunen Area  - Total 187. ... University of Helsinki is not to be confused with Helsinki University of Technology. ... Ernst Leonard Lindelöf, (7 March 1870–4 June 1946), Finnish topologist for whom Lindelöf space is named; son of Leonard Lorenz Lindelöf and brother of the philologist Uno Lorens Lindelöf. ... Rolf Herman Nevanlinna (October 22, 1895, Joensuu - May 28, 1980, Helsinki) is perhaps the most famous Finnish mathematician. ...


He assisted Nevanlinna in 1929 with his work on Denjoy's conjecture on the number of asymptotic values of an entire function. He completed his doctorate in 1930. Ahlfors worked as an associate professor at the University of Helsinki from 1933 to 1936. In complex analysis, an entire function is a function that is holomorphic everywhere (ie complex-differentiable at every point) on the whole complex plane. ... University of Helsinki is not to be confused with Helsinki University of Technology. ...


In 1936 he was one of the first two people to be awarded the Fields Medal. In 1935 Alfors visited Harvard University. He returned to Finland in 1938 to take up a professorship at the University of Helsinki. The outbreak of war led to problems although Ahlfors was unfit for military service. He was offered a post at the Swiss Federal Institute of Technology at Zurich in 1944 and finally managed to travel there in March 1945. He did not enjoy his time in Switzerland and jumped at a chance to leave, returning to work at Harvard where he remained until he retired in 1977; he was William Caspar Graustein Professor of Mathematics from 1964. He was awarded the Wihuri Prize in 1968 and the Wolf Prize in Mathematics in 1981. The obverse of the Fields Medal The Fields Medal is a prize awarded to two, three, or four mathematicians not over 40 years of age at each International Congress of the International Mathematical Union, a meeting that takes place every four years. ... The ETH Zurich, often called Swiss Federal Institute of Technology, is a science and technology university in the city of Zurich, Switzerland. ... Past winners of the Wolf Prize in Mathematics: 1978 Israel M. Gelfand, Carl L. Siegel 1979 Jean Leray, André Weil 1980 Henri Cartan, Andrei Kolmogorov 1981 Lars Ahlfors, Oscar Zariski 1982 Hassler Whitney, Mark Grigoryevich Krein 1983/4 Shiing S. Chern, Paul Erdős 1984/5 Kunihiko Kodaira, Hans...


His book Complex Analysis (1953) is the classic text on the subject and is almost certainly referenced in any more recent text which makes heavy use of complex analysis. Ahlfors wrote several other significant books, including Riemann surfaces (1960) and Conformal invariants (1973). He made decisive contributions to meromorphic curves, value distribution theory, Riemann surfaces, conformal geometry, quasiconformal mappings and other areas during his career. A meromorphic function is a function that is holomorphic on an open subset of the complex number plane C (or on some other connected Riemann surface) except at points in a set of isolated poles, which are certain well-behaved singularities. ... In mathematics, the value distribution theory of holomorphic functions is a division of mathematical analysis. ... Riemann surface for the function f(z) = sqrt(z) In mathematics, particularly in complex analysis, a Riemann surface, named after Bernhard Riemann, is a one-dimensional complex manifold. ... In mathematics, conformal geometry is the study of the set of angle-preserving (conformal) transformations on a Euclidean-like space with a point added at infinity, or a Minkowski-like space with a couple of points added at infinity. That is, the setting is a compactification of a familiar space... In mathematics, the concept of quasiconformal mapping, introduced as a technical tool in complex analysis, has blossomed into subject all its own. ...


He married Erna Lehnert and had three daughters.


Selected bibliography

  • Complex Analysis (1979) (ISBN 0-07-000657-1)
  • Contributions to the Theory of Riemann Surfaces: Annals of Mathematics Studies (1953) (ISBN 0-691-07939-0)

External links

  • Ahlfors entry on Harvard University Mathematics department web site.
  • Papers of Lars Valerian Ahlfors : an inventory (Harvard University Archives)
  • Lars Valerian Ahlfors The MacTutor History of Mathematics page about Ahlfors
  • The Mathematics of Lars Valerian Ahlfors, Notices of the American Mathematical Society; vol. 45, no. 2 (February 1998).
  • Lars Valerian Ahlfors (1907–1996), Notices of the American Mathematical Society; vol. 45, no. 2 (February 1998).

  Results from FactBites:
 
Harvard Gazette: Faculty of Arts and Sciences - Memorial Minute (957 words)
Lars Valerian Ahlfors was born under tragic circumstances in Helsinki on April 18, 1907: his mother died in childbirth.
Ahlfors came to Harvard as a junior faculty member in 1935 and stayed until 1938, when he was offered and accepted a professorship at the University of Helsinki.
Ahlfors was also a man of action and had an instinct for achieving his ends in the simplest way, be it in mathematics or in real life.
Lars Ahlfors (253 words)
Lars Valerian Ahlfors (April 18, 1907 - October 11, 1996) was a Finnish mathematician, remembered for his work in the field of Riemann surfaces[?] and his text on complex analysis.
Ahlfors was appointed lecturer in mathematics at the University of Turku.
In 1935 he went to Harvard University and in 1936 he was one of the first to be awarded the Fields Medal.
  More results at FactBites »


 

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