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CAHİT ARF 1910-1997

CAHİT ARF 1910-1997. CAHİT ARF - Biography Cahit Arf was born on 11 October 1910 in Selanik. His family migrated to Istanbul with the outbreak of the

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Page 1: CAHİT ARF 1910-1997. CAHİT ARF - Biography Cahit Arf was born on 11 October 1910 in Selanik. His family migrated to Istanbul with the outbreak of the

CAHİT ARF 1910-1997

Page 2: CAHİT ARF 1910-1997. CAHİT ARF - Biography Cahit Arf was born on 11 October 1910 in Selanik. His family migrated to Istanbul with the outbreak of the

CAHİT ARF - Biography Cahit Arf was born on 11 October 1910 in Selanik . His family migrated to

Istanbul with the outbreak of the Balkan War in 1912. The family finally settled in İzmir where Cahit Arf received his primary education. Upon receiving a scholarship from the Turkish Ministry of Education he continued his education in Paris and graduated from Ecole Normale Superieure .

Returning to Turkey, he taught mathematics at Galatasaray High School . In 1933 he joined the Mathematics Department of Istanbul University. In 1937 he went to Göttingen, where he received his PhD from the University of Göttingen and he worked with Helmut Hasse and Josue Cruz de Munoz. He returned to Istanbul University and worked there until his involvement with the foundation work of Scientific and Technological Research Council(TÜBİTAK) upon President Cemal Gursel's appointment in 1962. After serving as the founding director of the council in 1963, he joined the Mathematics Department of Robert College in Istanbul. Arf spent the period of 1964–1966 working at the Institute for Advanced Study in Princeton ,New Jersey.He later visited University of California Berkeley for one year.

Upon his final return to Turkey, he joined the Mathematics Department of the Middle East Technical University and continued his studies there until his retirement in 1980. Arf received numerous awards for his contributions to mathematics, among them are:Inonu Award in 1948, Scientific and Technological Research Council of Turkey (TÜBİTAK) Science Award in 1974, and Commandeur des Palmes Academiques (France) in 1994. Arf was a member of the Mainz Academy and the Turkish Academy of Sciences. He was the president of the Turkish Mathematical Society from 1985 until 1989. Arf died on December 26, 1997 in Bebek, Istanbul, at the age of 87. His collected works were published, in 1988, by the Turkish Mathematical Society.

Page 3: CAHİT ARF 1910-1997. CAHİT ARF - Biography Cahit Arf was born on 11 October 1910 in Selanik. His family migrated to Istanbul with the outbreak of the

Works•Using scale and divider at synthetic geometry •Arf invariant

•Arf rings

•Hasse-Arf Theorem

Page 4: CAHİT ARF 1910-1997. CAHİT ARF - Biography Cahit Arf was born on 11 October 1910 in Selanik. His family migrated to Istanbul with the outbreak of the

Synthetical Geometry : Branch of geometry using synthetically methods .Cahit Arf discovered using ruler and compass at the classification of quadratic forms of objects. Over F2 the Arf invariant is 0 if the quadratic form is equivalent to a direct sum of copies of the binary form xy , and it is 1 if the form is a direct sum of x^2+xy+y^2 with a number of copies of xy.Arf Rings:

Page 5: CAHİT ARF 1910-1997. CAHİT ARF - Biography Cahit Arf was born on 11 October 1910 in Selanik. His family migrated to Istanbul with the outbreak of the

Hasse-Arf Theorem

In mathematics, specifically in local class field theory, the Hasse–Arf theorem is a result concerning jumps of a filtration of the Galois group of a finite Galois extention. A special case of it was originally proved by Helmut Hasse, and the general result was proved by Cahit Arf.

Page 6: CAHİT ARF 1910-1997. CAHİT ARF - Biography Cahit Arf was born on 11 October 1910 in Selanik. His family migrated to Istanbul with the outbreak of the

•2008: Gunter Harder – Bonn Üniversitesi Matematik Enstitüsü•2007: Hendrik Lenstra – Leiden Üniversitesi Matematik Enstitüsü•2006: Jean-Pierre Serre – Collège de France•2005: Peter Sarnak – Princeton Üniversitesi ve İleri Araştırma Enstitüsü•2004: Robert Langlands – İleri Araştırma Enstitüsü•2003: David Mumford of Brown Üniversitesi Uygulamalı Matematik Bölümü•2002: Don Zagier – Utrecht Üniversitesi / Collège de France•2001: Gerhard Frey – Essen Üniversitesi Deneysel Matematik Enstitüsü

About Conferences

Page 7: CAHİT ARF 1910-1997. CAHİT ARF - Biography Cahit Arf was born on 11 October 1910 in Selanik. His family migrated to Istanbul with the outbreak of the

Superscription and Awards•1938-Doctorate

•1943 – Professor

•1955-Ordineryus Professor

•1948-İnönü’s award

•1974 TüBiTAK science award

•1980 Istanbul Technical University Honor award

•1981 METU Honor doctorate

•1989 Ege University Thankfulness of platelet

•1994 ‘Commandeur des Palmes Academiques’ medal at France

Page 8: CAHİT ARF 1910-1997. CAHİT ARF - Biography Cahit Arf was born on 11 October 1910 in Selanik. His family migrated to Istanbul with the outbreak of the

Memories Math was always there already .Men has found it .

Men will found live forever with math.

Mathematics memorize and understand it yourself .