Vera T. Sós
Who was Vera T. Sós?
Hungarian mathematician (1930–2023)
Biographical data adapted from Wikipedia’s article on Vera T. Sós (CC BY-SA 4.0).
Biography
Vera Turán Sós (11 September 1930 – 22 March 2023) was a Hungarian mathematician known for her work in combinatorics and number theory, which made her one of the key mathematicians of the twentieth century. Born in Budapest, she went to the ELTE Radnóti Miklós School before studying at Eötvös Loránd University and the Hungarian Academy of Sciences. Her career developed during a remarkably productive time for Hungarian mathematics, which gained international attention.
Sós worked closely with Paul Erdős and Alfréd Rényi, both crucial to modern combinatorics and probability theory. She also collaborated a lot with her husband, Pál Turán, a distinguished analyst, number theorist, and combinatorist. These collaborations were not just professional relationships; they produced foundational results that are still referenced today. Until 1987, she worked at the Department of Analysis at Eötvös Loránd University in Budapest. She later joined the Alfréd Rényi Institute of Mathematics, where she stayed at the forefront of Hungarian mathematical research.
One of her major contributions is the Kővári–Sós–Turán theorem, which discusses the maximum number of edges in a bipartite graph that doesn't contain certain complete bipartite subgraphs. This result became key in extremal graph theory. Just as significant is her work with Erdős and Rényi on the friendship theorem: in a finite graph where any two vertices have exactly one common neighbor, there must be a single vertex connected to all others. In number theory, she proved the three-gap theorem, originally conjectured by Hugo Steinhaus and also proved independently by Stanisław Świerczkowski, about the distribution of the fractional parts of multiples of an irrational number on the unit circle.
Sós was elected a corresponding member of the Hungarian Academy of Sciences in 1985 and a full member in 1990, which showed her impact on Hungarian mathematics. Her awards include the Szele Tibor commemorative medal (1974), the Academy Award of the Hungarian Academy of Sciences (1983), the Széchenyi Prize (1997), the Commander Cross of the Order of Merit of the Hungarian Republic (2002), and the Hazám-díj (2006). These honors, spanning five decades, show ongoing recognition of her contributions to mathematics and Hungarian academia.
Sós passed away on 22 March 2023 in Budapest. Her career spanning over sixty years produced theorems that are still crucial in combinatorics and number theory, and her mentoring of future Hungarian mathematicians extended her impact well beyond her own published work.
Before Fame
Vera Sós was born in Budapest on September 11, 1930, growing up in a city known for its great intellectual and scientific community. She attended the ELTE Radnóti Miklós School, famous for its high academic standards, before enrolling at Eötvös Loránd University. Even after World War II, Hungary kept a strong mathematical tradition, influenced by the work of early figures like Lipót Fejér and John von Neumann, despite political challenges under a Soviet-influenced government.
In this environment, Sós met Paul Erdős and Alfréd Rényi, whose work in combinatorics and graph theory would influence her research. Her growth as a mathematician coincided with the time when combinatorics was becoming a distinct field, and her early collaborations put her at the heart of this development. Her marriage to Pál Turán also connected her to one of the most productive mathematical households in twentieth-century Europe.
Key Achievements
- Co-proved the Kővári–Sós–Turán theorem on edge limits in bipartite graphs without complete subgraphs
- Co-proved the friendship theorem with Paul Erdős and Alfréd Rényi
- Proved the three-gap theorem in number theory, originally conjectured by Hugo Steinhaus
- Elected full member of the Hungarian Academy of Sciences in 1990
- Awarded the Széchenyi Prize in 1997, Hungary's highest distinction in science
Did You Know?
- 01.The Kővári–Sós–Turán theorem, which Sós co-proved, gives an upper bound on edges in graphs avoiding complete bipartite subgraphs and remains a fundamental result in extremal graph theory.
- 02.Sós proved the three-gap theorem, which concerns how multiples of an irrational number partition the unit circle into gaps of at most three distinct lengths.
- 03.She collaborated so frequently with Paul Erdős that she accumulated a low Erdős number, being a direct co-author of one of mathematics' most prolific and widely connected researchers.
- 04.Sós and her husband Pál Turán were both prominent mathematicians, making their household a meeting point for visiting mathematicians from around the world during the Cold War era.
- 05.She was awarded the Hazám-díj in 2006, a prize whose name translates roughly as 'My Homeland Award,' given for outstanding contributions to Hungarian national culture and science.
Family & Personal Life
Awards & Honors
| Award | Year | Details |
|---|---|---|
| Széchenyi Prize | 1997 | — |
| Hazám-díj | 2006 | — |
| Commander Cross of the Order of Merit of the Hungarian Republic | 2002 | — |
| Szele Tibor commemorative medal | 1974 | — |
| Academy Award of the Hungarian Academy of Sciences | 1983 | — |