Đuro Kurepa

Đuro Kurepa (Serbian Cyrillic: Ђуро Курепа, pronounced [dʑǔːro kǔrepa]; 16 August 1907 – 2 November 1993) was a Yugoslav mathematician.[1]

Đuro Kurepa
Kurepa in 1976
Born	(1907-08-16)16 August 1907 Majske Poljane, Austria-Hungary
Died	2 November 1993(1993-11-02) (aged 86) Belgrade, FR Yugoslavia
Cause of death	Beaten to death
Resting place	Belgrade New Cemetery
Alma mater	University of Zagreb University of Paris
Known for	Set theory and logic
Awards	AVNOJ Award[1]
Scientific career
Fields	Mathematics
Institutions	University of Zagreb University of Belgrade
Doctoral advisor	Maurice René Fréchet
Doctoral students	Ljubisa D.R. Kocinac Stevo Todorčević[2]

Throughout his life, Kurepa published over 700 articles, books, papers, and reviews[3] and over 1,000 scientific reviews. He lectured at universities across Europe, as well as those in Canada, Cuba, Iraq, Israel, and the United States, and was quoted saying "I lectured at almost each of [the] nineteen universities of [the former] Yugoslavia..."[1] His nephew was the noted mathematician Svetozar Kurepa.[4]

In English, his name was transliterated as Djuro Kurepa while in French he is often attributed as Georges Kurepa.

Early life

Born in Majske Poljane, Kingdom of Croatia-Slavonia, Austria-Hungary to a Serb[5] family, Kurepa was the youngest of Rade and Anđelija Kurepa's fourteen children. He began his schooling in Majske Poljane, continued his education in Glina, and graduated from high school in Križevci.[3] He received a diploma in theoretical mathematics and physics from the University of Zagreb in 1931, and began work as an assistant in the teaching of mathematics the same year. Kurepa then went to the Collège de France and the University of Paris, where he received his doctoral diploma in 1935; his advisor was French mathematician Maurice René Fréchet, and his thesis was titled Ensembles ordonnés et ramifiés.[3]

Middle years

Kurepa continued to receive post-doctoral education at Warsaw University in Poland and the University of Paris. He became an assistant professor at the University of Zagreb in 1937, associate professor the next year, and assumed the position of full professor in 1948.[1] After the end of World War II and the formation of the Socialist Federal Republic of Yugoslavia, he traveled to five universities in the United States: Harvard University in Cambridge, Massachusetts, the University of Chicago in Chicago, Illinois, the branch of the University of California at Berkeley and the branch at Los Angeles, California the Institute for Advanced Study in Princeton, New Jersey[3][6] and Columbia University in New York City, New York.[1]

Kurepa was ICM Plenary Speaker in 1954 and 1958.[7]

Later life

In 1965, Kurepa shifted to the University of Belgrade, where he focused on the fields of logic and set theory mathematics. Kurepa was a member of several organizations, including the Serbian Academy of Sciences and Arts and the Yugoslav Academy of Sciences and Arts[8] He was also the founder and president of the Society of Mathematicians and Physicists of Croatia, the founder and chief editor of the journal Mathematica Balkanica, and the president of the Yugoslav National Committee for Mathematics, the Balkan Mathematical Society, and the Union of Yugoslav Societies of Mathematicians, Physicisists and Astronomers. He received the AVNOJ Award in 1976, and retired from the University of Belgrade in 1977.[1]

He died after being beaten by thugs and hidden from view under stairs.[9][10]

Legacy

Kurepa influenced set theory mathematics in several ways, including lending his name to the Kurepa tree. According to Kajetan Šeper, Kurepa's colleague from the University of Zagreb:

Professor Kurepa was not only the professional mathematician and teacher, but he was a scientist, philosopher, and humanist as well, in the true sense of these words. He was the founder and pioneer in mathematical logic and the foundations of mathematics in Croatia, and modern mathematical theories in Croatia and Yugoslavia. Generally speaking, he was the catalyzer, the initiator, and the bearer of mathematical science.

According to the Mathematics Genealogy Project, Kurepa supervised 26 students, including set theorist Stevo Todorčević and topologist Ljubisa D.R. Kocinac.[11]

Publications

• Kurepa, G. (1935), "Ensembles ordonnés et ramifiés", Publ. math. Univ. Belgrade, 4: 1–138

References

1. Mijajlović, Žarko (1995). "Đuro Kurepa" (PDF). 57: 13–18. Retrieved 2007-01-01. Cite journal requires |journal= (help)
2. "GEDELOV PREDAVAČ". Galaksija Nova (in Serbian). 2017-01-25. Retrieved 2020-07-16.
3. O'Connor, John J.; Robertson, Edmund F., "Đuro Kurepa", MacTutor History of Mathematics archive, University of St Andrews.
4. http://dnevnik.hr/vijesti/znanost-it/umro-istaknuti-matematicar-svetozar-kurepa.html
5. "Srpsko Narodno Vijeće :: Đuro Kurepa". snv.hr. Retrieved 2020-07-16.
6. IAS Member: Djuro Kurepa (Mathematics)
7. ICM Plenary and Invited Speakers since 1897
8. "The Founding of the Academy". Croatian Academy of Sciences and Arts. 2004-12-23. Archived from the original on 2006-09-28. Retrieved 2007-01-01.
9. Sets and Extensions in the Twentieth Century by Dov M. Gabbay, Akihiro Kanamori (eds.), and John Woods, Elsevier, 2012 p. 186
10. Alternativna informativna mreža (1993-11-13). "Nauka ne stanuje više ovde" (in Serbian). Retrieved 2020-08-11.
11. "Ðuro Kurepa". Mathematics Genealogy Project.

External links

• Đuro Kurepa at the Mathematics Genealogy Project (thesis in Paris)
• Biography of Kurepa (in Serbian)
• Dimitrić, Radoslav. Academician, Professor Ðuro Kurepa (1907--1993). The Review of Modern Logic 1994. 4:401-403