Holmgren's uniqueness theorem remains a fundamental result in the study of partial differential equations, securing the Swedish mathematician a lasting place in analysis. Throughout his career, he focused his research on the theory of partial differential equations and functional theory, working primarily within the academic environment of Uppsala University, where he served as both student and long-term professor.
Academic Foundation at Uppsala
Born in 1872 in Adolf Fredriks parish, Erik Albert Holmgren began his formal academic path at Uppsala University in the autumn of 1890. He earned his Bachelor of Arts degree on January 31, 1893, followed by a Licentiate of Philosophy on December 14, 1895. By February 19, 1898, he had defended his dissertation, and on March 8, 1898, he was appointed a docent. His Doctor of Philosophy degree was conferred on May 31, 1898.
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Before securing a permanent chair, Holmgren engaged with major European mathematical centers. His appointment as professor of mathematics at Uppsala University commenced on March 15, 1907, a position he held until his retirement on January 1, 1937. Prior to this appointment, he held temporary roles as an extraordinary professor at the same institution.
Professional Contributions and Interests
Holmgren was elected to the Royal Swedish Academy of Sciences in 1910 and the Royal Swedish Academy of Letters in 1924. Beyond his mathematical research, he maintained a deep interest in art history and French culture. His teaching methods were noted for their clarity, and he supervised students such as Torsten Carleman. Though known for a strong temperament during seminars, he remained committed to both elementary and advanced instruction. He never married and died in 1943 at the Uppsala Cathedral Assembly.
Fast facts
- Born: 1872, Adolf Fredriks parish
- Died: 1943, Uppsala Cathedral Assembly
- Field: Partial differential equations
- Education: Uppsala University
- Royal Swedish Academy of Sciences membership: 1910
- Royal Swedish Academy of Letters membership: 1924
- Notable student: Torsten Carleman
Questions readers ask
What is Holmgren best known for in mathematics?
He is recognized for his contributions to partial differential equations and for the development of the uniqueness theorem that bears his name.
Did Holmgren work at institutions other than Uppsala University?
While his primary professional career was based at Uppsala, he conducted significant research abroad at the universities of Göttingen, Paris, and Rome.
Achievements
- Held posts at Uppsala University
- Fields: partial differential equation
