The Lobachevsky Medal was awarded to Herbert Busemann in 1985 for his seminal book, The Geometry of Geodesics, marking him as the first American mathematician to receive this honor. His contributions to convex and differential geometry established fundamental frameworks, including Busemann's theorem, which remain critical to modern geometric tomography and the study of spaces with distinguished geodesics.
Early Life and Education
Born in 1905 in Berlin, Busemann grew up in a prominent family. His father, Alfred Busemann, held a directorship at the Krupp industrial firm, where Busemann himself was employed for a brief period. His formal education was expansive, spanning studies at the Ludwig-Maximilians-Universität München, the University of Paris, and Sapienza University of Rome. In 1931, he successfully defended his doctoral dissertation at the University of Göttingen under the guidance of Richard Courant.
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Busemann remained at Göttingen as an assistant until 1933, when political persecution compelled him to leave Germany due to his Jewish ancestry. He found refuge in Copenhagen, working at the local university until 1936. Relocating to the United States, he underwent the naturalization process in 1943. After holding temporary research positions at the Institute for Advanced Study, Johns Hopkins University, the Illinois Institute of Technology, and Smith College, he joined the University of Southern California in 1947. He became a distinguished professor there in 1964 and retired in 1970, having supervised over ten doctoral candidates.
Scholarly Contributions
The scope of his academic production includes six monographs covering topics such as projective geometry, convex surfaces, and metric methods in Finsler spaces. His scholarly output often crossed language barriers, as he translated numerous papers, particularly from Russian. Beyond his writing, he served as a council member for the American Mathematical Society and presided over the California chapter of the Mathematical Association of America. His legacy is preserved in the two-volume collection of his selected works, published by Springer in 2018.
Linguistic and Artistic Pursuits
Busemann possessed an exceptional facility for languages, maintaining professional proficiency in German, French, Spanish, Italian, Russian, and Danish. He further demonstrated the ability to read Greek, Latin, Arabic, and Swedish. Outside of the mathematical sciences, he practiced as an artist, producing Hard-edge paintings that were featured in several public exhibitions. He passed away on February 3, 1994, in Santa Ynez, California, at age 88.
Fast facts
- Born: 1905, Berlin
- Died: 3 February 1994, Santa Ynez
- Primary field: Differential geometry
- Notable award: Lobachevsky Prize (1983/1985)
- PhD Advisor: Richard Courant
- Citizenships: German, United States
- Major Employer: University of Southern California
- Published monographs: 6
Questions readers ask
What was Busemann's primary area of mathematical research?
He specialized in convex and differential geometry, contributing significantly to the study of geodesics and geometric tomography.
Did Busemann speak many languages?
Yes. He was fluent in German, French, Spanish, Italian, Russian, and Danish, and could also read Latin, Arabic, Greek, and Swedish.
Achievements
- Lobachevsky Prize — 1983
- Held posts at University of Southern California
- Fields: differential geometry
