# Endre Szemerédi > Hungarian-American mathematician and theoretical computer scientist **Wikidata**: [Q439709](https://www.wikidata.org/wiki/Q439709) **Wikipedia**: [English](https://en.wikipedia.org/wiki/Endre_Szemerédi) **Source**: https://4ort.xyz/entity/endre-szemeredi ## Summary Endre Szemerédi is a Hungarian-American mathematician and theoretical computer scientist known for his groundbreaking work in combinatorics and graph theory. He is particularly celebrated for his proof of Szemerédi's theorem, which addresses the Erdős–Turán problem, and for his contributions to Ramsey theory. Szemerédi has received numerous prestigious awards, including the Abel Prize, and is a member of several academic institutions. ## Biography - Born: August 21, 1940, in Budapest, Kingdom of Hungary - Nationality: Hungary, United States - Education: - Eötvös Loránd University (1960–1965) - Lomonosov Moscow State University (1965–1970) - Known for: Proving Szemerédi's theorem, a fundamental result in additive combinatorics - Employer(s): Rutgers University (emeritus) - Field(s): Combinatorics, theoretical computer science ## Contributions Endre Szemerédi's most notable contribution is the proof of Szemerédi's theorem in 1975, which states that any subset of the integers with positive density contains arbitrarily long arithmetic progressions. This theorem resolved a long-standing problem in additive combinatorics and has had profound implications in number theory and theoretical computer science. Szemerédi's work has influenced numerous areas, including graph theory, Ramsey theory, and the study of pseudorandomness. He has also made significant contributions to extremal graph theory and has advised several prominent mathematicians, including Gábor N. Sárközy. His research has been widely recognized, earning him numerous awards and honors, including the Abel Prize in 2012. ## FAQs ### Q: What is Szemerédi's theorem? A: Szemerédi's theorem states that any subset of the integers with positive density must contain arbitrarily long arithmetic progressions. This result is a cornerstone of additive combinatorics and has applications in number theory and theoretical computer science. ### Q: What awards has Endre Szemerédi received? A: Szemerédi has received several prestigious awards, including the Abel Prize in 2012, the Rolf Schock Prize in Mathematics in 2008, and the Széchenyi Prize in 2012. He is also a member of the National Academy of Sciences and the American Academy of Arts and Sciences. ### Q: Who are some of Szemerédi's doctoral students? A: Some of Szemerédi's notable doctoral students include Gábor N. Sárközy, Ryan R. Martin, and Yi Zhao. His mentorship has had a lasting impact on the field of mathematics. ### Q: What is Endre Szemerédi's Erdős number? A: Endre Szemerédi has an Erdős number of 1, meaning he co-authored a paper with Paul Erdős. ### Q: Where did Endre Szemerédi work? A: Szemerédi is currently affiliated with Rutgers University as an emeritus professor. He has also been a professor at the Alfréd Rényi Institute of Mathematics. ## Why They Matter Endre Szemerédi's work has had a profound impact on mathematics and theoretical computer science. His proof of Szemerédi's theorem resolved a major open problem and laid the foundation for numerous advancements in additive combinatorics. His contributions have influenced generations of mathematicians and have applications in various fields, including number theory and graph theory. Szemerédi's research has been widely recognized, earning him numerous awards and honors. His mentorship of prominent mathematicians has also shaped the field, and his work continues to inspire new research in combinatorics and theoretical computer science. ## Notable For - Proved Szemerédi's theorem, a fundamental result in additive combinatorics - Received the Abel Prize in 2012, one of the most prestigious awards in mathematics - Member of the National Academy of Sciences and the American Academy of Arts and Sciences - Advised several prominent mathematicians, including Gábor N. Sárközy - Erdős number of 1, indicating his collaboration with Paul Erdős ## Body ### Early Life and Education Endre Szemerédi was born on August 21, 1940, in Budapest, Hungary. He pursued his education at Eötvös Loránd University from 1960 to 1965 and later at Lomonosov Moscow State University until 1970. His academic background laid the groundwork for his future contributions to mathematics. ### Career and Research Szemerédi's career has been marked by significant achievements in combinatorics and theoretical computer science. His most notable work is the proof of Szemerédi's theorem in 1975, which addresses the Erdős–Turán problem. This theorem states that any subset of the integers with positive density must contain arbitrarily long arithmetic progressions, a result that has had profound implications in number theory and theoretical computer science. ### Awards and Honors Szemerédi's contributions have been widely recognized, earning him numerous awards and honors. He received the Abel Prize in 2012, the Rolf Schock Prize in Mathematics in 2008, and the Széchenyi Prize in 2012. He is also a member of the National Academy of Sciences and the American Academy of Arts and Sciences. ### Mentorship and Influence Szemerédi has advised several prominent mathematicians, including Gábor N. Sárközy, Ryan R. Martin, and Yi Zhao. His mentorship has had a lasting impact on the field of mathematics, and his work continues to inspire new research in combinatorics and theoretical computer science. ### Legacy Endre Szemerédi's legacy is marked by his groundbreaking contributions to mathematics and theoretical computer science. His proof of Szemerédi's theorem resolved a major open problem and laid the foundation for numerous advancements in additive combinatorics. His work has influenced generations of mathematicians and has applications in various fields, including number theory and graph theory. Szemerédi's research continues to be a cornerstone of modern mathematics and theoretical computer science. ## References 1. Integrated Authority File 2. [Source](https://www.cs.rutgers.edu/people/professors/details/emeritus/endre-szemeredi) 3. [Source](http://www.abelprize.no/c54147/binfil/download.php?tid=54087) 4. [Source](https://www.ams.org/prizes-awards/pabrowse.cgi?parent_id=27) 5. [Source](https://www.amacad.org/new-members-2022) 6. Mathematics Genealogy Project 7. Virtual International Authority File 8. CiNii Research 9. www.nasonline.org 10. www.ae-info.org 11. MacTutor History of Mathematics archive 12. Encyclopædia Britannica Online 13. Brockhaus Enzyklopädie 14. Freebase Data Dumps. 2013 15. National Library of Israel Names and Subjects Authority File