1. Taniyama Yutaka taniyama yutaka. http://www.openhistory.org/jhdp/encyclopedia/Taniyama_Yutaka.html

Taniyama Yutaka

2. Yutaka Taniyama Yutaka taniyama yutaka Taniyama was born in 1927 near Tokyo. His firstname was actually Toyo, but many people misinterpreted his http://www.missouri.edu/~cst398/fermat/contents/taniyama.htm

Yutaka Taniyama The work of these two mathematicians would later be known as the Taniyama-Shimura conjecture. This conjecture would provide a link between two different worlds that would allow mathematicians who studied one area to communicate with mathematicians who studied the other. In effect, a sort of mathematical "bridge" was being constructed by the conjecture. Taniyama and Shimura worked together to try to prove the conjecture, but they were not able to prove this most important observation. Tragically, in 1958, Taniyama committed suicide. Shimura continued working on the conjecture afterwards, determined to complete the work of his departed friend, but he could still not produce a proof. In 1984, the Taniyama-Shimura conjecture was linked to Fermat's Last Theorem by Gerhard Frey, a German mathematician. The Taniyama-Shimura conjecture was then proved in 1994 by Andrew Wiles. As a result of Wiles's proof, not only was Fermat's Last Theorem finally completed, but a number of other important theorems which were based on the Taniyama-Shimura conjecture were given a solid foundation, and the bridge between the world of elliptic curves and modular forms was completed. Information for this article was obtained from pp. 171-185 of

3. Chiba(75) takeshi chibashi, chibaken, JAPAN sato tomoki urayasu city tiba pref, JAPAN taniyama yutaka ichikawa city, chiba pref. http://www.walrus.com/~dawei/petitions/japan-chiba.html

4. Taniyama Yutaka Taniyama. Born 12 Nov 1927 in Kisai Yutaka Taniyama graduated fromthe University of Tokyo in 1953. He remained there as a 'special http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Taniyama.html

Yutaka Taniyama Born: 12 Nov 1927 in Kisai (north of Tokyo), Japan Died: 17 Nov 1958 in Tokyo, Japan Click the picture above to see a larger version Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Yutaka Taniyama graduated from the University of Tokyo in 1953. He remained there as a 'special research student', then as an associate professor. His interests were in algebraic number theory . He wrote Modern number theory (1957) in Japanese, jointly with G Shimura. Although they planned an English version, they lost enthusiasm and never found the time to write it before Taniyama's death. However they probably give the reason themselves in the 1957 preface:- We find it difficult to claim that the theory is presented in a completely satisfactory form. In any case, it may be said, we are allowed in the course of progress to climb to a certain height in order to look back at our tracks, and then to take a view of our destination. Taniyama's fame is mainly due to two problems posed by him at the symposium on Algebraic Number Theory held in Tokyo in 1955. (His meeting with Weil at this symposium was to have a major influence on Taniyama's work.) These problems form the basis of a conjecture :

5. Encyclopedia Of Japanese History Version 0.3.2 Shozo; Tango Province; Tani Kanjo; Asakura Yoshikage; TaniyamaShimuraConjecture; taniyama yutaka; Tanizaki Junichiro; Tanuma Okitsugu; http://www.openhistory.org/jhdp/encyclopedia/

Encyclopedia of Japanese History version 0.3.2 compiled by Chris Spackman January 19, 2003 Contents Frontmatter Credits History ... Maeda Toshinaga

6. Taniyama Translate this page taniyama yutaka japonais, 1927-1958 Shimura Goro Ce mathématicienjaponais (mort prématurément il se suicida) fut projeté http://www.sciences-en-ligne.com/momo/chronomath/chrono2/taniyama.html

TANIYAMA Yutaka japonais, 1927-1958 Shimura Goro de Fermat Andrew Wiles courbes elliptiques formes modulaires et les courbes elliptiques forme modulaire est, grosso modo, une fonction modulaire holomorphe . Une fonction modulaire est une fonction automorphe relativement au groupe modulaire substitutions modulaires p Pour en savoir plus Fonctions elliptiques et modulaires, groupe modulaire Encyclopaedia Universalis - Ed. Albin Michel, Paris, 1997 Ch VII - Fonctions modulaires et fonctions automorphes , par Christian Houzel Ed. Hermann - 1978 ,1992 SHIMURA Goro japonais, 1930- La conjecture de Taniyama de Taniyama-Shimura , voire de Taniyama-Shimura-Weil courbe elliptique Wiles Pour en savoir plus : , Simon Singh Ed. Pluriel, Paris - 1998 Serre Grothendieck

7. Kimagure Orange College, Episode 30 - Remember Me It was first suggested by taniyama yutaka around 1955 and states that all semistableelliptic curves with rational coefficients are modular. Kakkoii ne*?! http://www.dhc.net/~stsai/koc/koc30.html

8. Kimagure ƒIƒŒƒ“ƒWF‚Ì‘åŠw (College) Aˆê˜b‚R‚O | Ž„‚ðŠo ! It was first suggested by taniyama yutakaaround 1955 and states that all semistable elliptic curves with rational http://www.itono.com/koc-j/koc30ejs.html

Episode 30 - Remember Me [Fade in to a hospital room seventeen years ago. Chibi-Kyosuke: a Chibi - Kyosuke (Chibi - Kyosuke) Fa – a [Crying.] m‹ƒ‚­Bn Kaachan...!** ...! ‚ª ** ‚·‚é Kaachan *Little Kyosuke – ƒŠƒgƒ‹ (Little) Kyosuke **Mom Takashi: —²Ži (Takashi) F [To Chibi-Kyosuke.] m Chibi - Kyosuke (Chibi - Kyosuke) ‚ɁBn B-be brave, Kyosuke! B-be —EŽmA Kyosuke I For your mother's sake! ‚ ‚È‚½‚Ì•êe‚Ì‚½‚߂ɁI Akemi: Akemi F [Weakly.] mŽã‚­Bn My babies...are they... Ž„‚̐Ԃñ–VEEE .are ‚Ɂi”ށE‚»‚êj‚ç‚́EEEB Grandpa: ‚¨‚¶‚¢‚³‚ñ (Grandpa) F [Also crying, but trying to be brave.] m“¯‚¶‚­‹ƒ‚­‚ªA—EŠ¸‚É‚µ‚悤‚Æ‚µ‚Ä‚¢‚éBn They're all right...they're going to be fine. i”ށE‚»‚êj‚ç‚Í‚·‚ׂĂ̌ —˜DDD .they ‚ª‘f°‚炵‚­‚ ‚낤‚Æ‚µ‚Ä‚¢‚é‚Æ‚¢‚¤‚±‚Æ‚¾B Takashi: —²Ži (Takashi) F [Fighting back tears as he holds Akemi's hand.] m’ïR‚·‚邱‚Ƃ́A”Þ‚ª Akemi ‚ÌŽè‚ðŽ‚ÂiŽžE‚©‚çE‚ɂ‚ê‚āE‚悤‚ɁjA”j‚ê‚éBn If only we had more time...! ‚à‚µ‚½‚¾‰äX‚ª‚à‚Á‚Æ‘½‚­‚ÌŽžŠÔ‚ðŽ‚Á‚Ä‚¢‚½‚È‚çEEEI Akemi: Akemi F If only...

9. Yutaka Taniyama's Life yutaka taniyama graduated from the University of Tokyo in 1953. He remained there as a 'special research student', then as an associate professor. http://www.bath.ac.uk/~ma0dmp/Tanylife.html

Yutaka Taniyama Yutaka Taniyama graduated from the University of Tokyo in 1953. He remained there as a 'special research student', then as an associate professor. With seemingly a great future in front of him, both in mathematics and his life (he was planning marriage) he took his own life. In a note he left he took great care to describe exactly where he had reached in the calculus and linear algebra courses he was teaching and to appologise to his colleagues for the trouble his death would cause them. As to the reason for taking his life he says: "Until yesterday I had no definite intention of killing myself. ... I don't quite understand it myself, but it is not the result of a particular incident, nor of a specific matter. About a month later the girl who he was planning to marry also committed suicide. Return to main page

10. Taniyama Biography of yutaka taniyama (19271958) yutaka taniyama. Born 12 Nov 1927 in Kisai (north of Tokyo), Japan http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Taniyama.html

Yutaka Taniyama Born: 12 Nov 1927 in Kisai (north of Tokyo), Japan Died: 17 Nov 1958 in Tokyo, Japan Click the picture above to see a larger version Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Yutaka Taniyama graduated from the University of Tokyo in 1953. He remained there as a 'special research student', then as an associate professor. His interests were in algebraic number theory . He wrote Modern number theory (1957) in Japanese, jointly with G Shimura. Although they planned an English version, they lost enthusiasm and never found the time to write it before Taniyama's death. However they probably give the reason themselves in the 1957 preface:- We find it difficult to claim that the theory is presented in a completely satisfactory form. In any case, it may be said, we are allowed in the course of progress to climb to a certain height in order to look back at our tracks, and then to take a view of our destination. Taniyama's fame is mainly due to two problems posed by him at the symposium on Algebraic Number Theory held in Tokyo in 1955. (His meeting with Weil at this symposium was to have a major influence on Taniyama's work.) These problems form the basis of a conjecture :

11. References For Taniyama References for yutaka taniyama. Articles G Shimura, yutaka taniyama and his time.Very personal recollections, Bull. London Math. Soc. 21 (1989), 186196. http://www-gap.dcs.st-and.ac.uk/~history/References/Taniyama.html

References for Yutaka Taniyama Articles: G Shimura, Yutaka Taniyama and his time. Very personal recollections, Bull. London Math. Soc. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR February 1997 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Taniyama.html

12. Yutaka Taniyama yutaka 'Toyo' taniyama was born in Kisai, a small town near Tokyo, on November 12, 1927. http://www.uz.ac.zw/science/maths/zimaths/taniyama.htm

In his own way by Dinoj Surendran In 1993, Andrew Wiles stunned the mathematical world with a proof of Fermat's Last Theorem. But behind this brilliant achievement was the work of several previous mathematicians. This is the story of one of them. Yutaka 'Toyo' Taniyama was born in Kisai, a small town near Tokyo, on November 12, 1927. His father was a rural doctor who was active even in his eighties. Yutaka on the other hand, was a sickly boy who once withdrew for two years from school because of tuberculosis. So it was at the advanced age of 25 that he graduated from the University of Tokyo. He remained there first as a research student, later as a lecturer. Japan was a developing country at the time, so while he was not destitute, Yutaka was not well off either. He lived in a small (seven square metres!) apartment overlooking a narrow street filled with small shops, its lively atmosphere punctuated every few minutes by a passing train. The photo on the cover pictures him in a suit, but that does not mean Taniyama gave a thought to his appearance. The suit in question was actually a quite nauseating blue-green one with an even more revolting metallic sheen! The only reason he wore it was that no-one else in his family would. He was also quite incapable of tying his shoelaces, so they usually followed him round like a pair of well-trained dogs. He tended to sleep in the early morning and get up at lunchtime. He played no musical instrument, didn't drink or smoke, hated travelling, was no athlete, read few novels. His only hobbies were listening to music (favourite: Beethoven's Eighth Symphony), watching movies (favourite: The King and I) and writing articles on academic matters. He didn't show off his brilliance and always gave down-to-earth advice to his juniors.

13. Yutaka Taniyama References ''yutaka taniyama and his time very personal recollections'' by GoroShimura, Bulletin of the London Mathematical Society 21 (1989) pp 186-196. http://www.geocities.com/CapeCanaveral/Lab/3550/taniyama.htm

In his own way by Dinoj Surendran In 1993, Andrew Wiles stunned the mathematical world with a proof of Fermat's Last Theorem. But behind this brilliant achievement was the work of several previous mathematicians. This is the story of one of them. Yutaka 'Toyo' Taniyama was born in Kisai, a small town near Tokyo, on November 12, 1927. His father was a rural doctor who was active even in his eighties. Yutaka on the other hand, was a sickly boy who once withdrew for two years from school because of tuberculosis. So it was at the advanced age of 25 that he graduated from the University of Tokyo. He remained there first as a research student, later as a lecturer. Japan was a developing country at the time, so while he was not destitute, Yutaka was not well off either. He lived in a small (seven square metres!) apartment overlooking a narrow street filled with small shops, its lively atmosphere punctuated every few minutes by a passing train. The photo on the cover pictures him in a suit, but that does not mean Taniyama gave a thought to his appearance. The suit in question was actually a quite nauseating blue-green one with an even more revolting metallic sheen! The only reason he wore it was that no-one else in his family would. He was also quite incapable of tying his shoelaces, so they usually followed him round like a pair of well-trained dogs. He tended to sleep in the early morning and get up at lunchtime. He played no musical instrument, didn't drink or smoke, hated travelling, was no athlete, read few novels. His only hobbies were listening to music (favourite: Beethoven's Eighth Symphony), watching movies (favourite: The King and I) and writing articles on academic matters. He didn't show off his brilliance and always gave down-to-earth advice to his juniors.

14. Fermat's Last Theorem names associated with the final steps of Wiles's proof died untimely deaths EvaristeGalois in 1832, at 20, of a dueling wound and yutaka taniyama in 1958, at http://www.geocities.com/anandsharmav/fermat.htm

The Story of Proof of Fermat's Last Theorem "In this period of recession, which has accustomed us to grimly resigned predictions by our leading experts, the achievement of this brilliant British mathematician comes like a breath of fresh air. "Nothing is insoluble", he seems to be saying, smiling benignly at his colleagues before his blackboard" -Reader's Digest (March, 1994) I first came across the mystery of "Fermat's Last Theorem" in March, 1994 issue of Reader's Digest in an article titled "No Problem is Insoluble". Since then I have adored and sought inspiration from Andrew Wiles and the single-minded persistence with which he persued his objective of proving the mystery of Fermat's Last Theorem. The Statement of the Theorem: Fermat's Last Theorem states that the seemingly innocuous equation X n + Y n = Z n , where X, Y and Z are all positive integers, cannot hold true if n>2. Putting the Fermat's statement in words, translated from Latin: "It's impossible for a cube to be written as a sum of two cubes or a fourth power to be written as a sun of two fourth powers, or, in general, for any number which is a power greater than the second to be written as a sum of two like powers". The Legend of the Theorem: Pierre de Fermat, the brilliant seventeenth century French mathematician scribbled, in 1637, into the margin of a Latin translation of Diophantus'

15. References For Taniyama References for the biography of yutaka taniyama References for yutaka taniyama. Articles G Shimura, yutaka taniyama and his time. http://www-history.mcs.st-and.ac.uk/~history/References/Taniyama.html

References for Yutaka Taniyama Articles: G Shimura, Yutaka Taniyama and his time. Very personal recollections, Bull. London Math. Soc. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR February 1997 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Taniyama.html

16. Taniyama Portrait Portrait of yutaka taniyama yutaka taniyama. JOC/EFR August 2001 http://www-history.mcs.st-and.ac.uk/history/PictDisplay/Taniyama.html

Yutaka Taniyama JOC/EFR August 2001 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/PictDisplay/Taniyama.html

17. Re: Shimura-Taniyama Conjecture By Antreas P. Hatzipolakis nor of a specific matter. yutaka taniyama (1927 1958) Please tell the source of this taniyama quote. http://mathforum.com/epigone/math-history-list/glexzhangdwimp/v01540B06630B9D985

Re: Shimura-Taniyama Conjecture by Antreas P. Hatzipolakis reply to this message post a message on a new topic Back to messages on this topic Back to math-history-list Subject: Re: Shimura-Taniyama Conjecture Author: xpolakis@otenet.gr Date: http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Taniyama.html As for the second: The only one reference the authors of the biography above, have in the "References for Yutaka Taniyama" is: G Shimura: Yutaka Taniyama and his Time. Very Personal Recollections. Bull. London Math. Soc. 21 (1989) 186-196. So, most likely the original source is Shimura's article. Antreas The Math Forum

18. The Taniyama- This sparked off a remarkable partnership between Shimura and a youngman named yutaka taniyama (shown in the picture on the left). http://www.bath.ac.uk/~ma0ech/WebSite/taniyama.htm

The Taniyama-Shimura Conjecture Four years after the war a man named Goro Shimura entered the University of Tokyo. However, it was not an easy place to study as almost all the professors were tired and the lectures were not inspiring. This meant that Shimura and his fellow students had to rely on each other for their inspiration. This sparked off a remarkable partnership between Shimura and a young man named Yutaka Taniyama (shown in the picture on the left). Together, Taniyama and Shimura worked on the complex mathematics of modular functions. In 1955 there was an international symposium and Taniyama posed two or three problems. The problems posed by Taniyama led to the extraordinary claim that every elliptic curve was really a modular form in disguise. It became known as the Taniyama-Shimura conjecture. I do not know enough about modular forms to in any way attempt to describe them for you so I will rely upon the explanation of Barry Mazur, given during an interview for the BBC's Horizon program. "Modular forms are functions on the complex plane that are inordinately symmetric. They satisfy so many internal symmetries that their mere existence seem like accidents, but they do exist."

19. Biography-center - Letter T Bios/htmlbios/tani.html; taniyama, yutaka wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/taniyama.html;Tanner, Joseph R. www http://www.biography-center.com/t.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish T 340 biographies Tabern, Donalee L. www.invent.org/hall_of_fame/142.html Tacca, Ferdinand www.getty.edu/art/collections/bio/a451-1.html Tacquet, Andrea www-history.mcs.st-and.ac.uk/~history/Mathematicians/Tacquet.html Taft, Helen Herron www.whitehouse.gov/WH/glimpse/firstladies/html/ht27.html Taft, William Howard odur.let.rug.nl/~usa/P/wt27/about/taftbio.htm Tagore, Rabindranath www.nobel.se/literature/laureates/1913/tagore-bio.html Tahir, ibn www-history.mcs.st-and.ac.uk/~history/Mathematicians/Al-Baghdadi.html Taiga, Marton www.kirjasto.sci.fi/taiga.htm Taillandier, Vincent www.getty.edu/art/collections/bio/a1075-1.html Tait, Peter Guthrie www-history.mcs.st-and.ac.uk/~history/Mathematicians/Tait.html Takacs, Karoly

20. Ivars Peterson's MathTrek: Curving Beyond Fermat, Science News Online (11/20/99) In the 1950s, Japanese mathematician yutaka taniyama (1927–1958) proposedthat every rational elliptic curve is a disguised version of a complicated http://www.sciencenews.org/sn_arc99/11_20_99/mathland.htm

Recently on MathTrek: Prophet of Chaos (11/13/99) Art of the Tetrahedron (11/6/99) Adventures in the MathZone (10/30/99) MathTrek Archives Curving Beyond Fermat When Andrew Wiles of Princeton University proved Fermat’s last theorem several years ago, he took advantage of recently discovered links between Pierre de Fermat’s centuries-old conjecture concerning whole numbers and the theory of so-called elliptic curves. Establishing the validity of Fermat’s last theorem involved proving parts of the Taniyama-Shimura conjecture. Four mathematicians have now extended this aspect of Wiles’ work, offering a proof of the Taniyama-Shimura conjecture for all elliptic curves rather than just a particular subset of them. Mathematicians regard the resulting Taniyama-Shimura theorem as one of the major results of 20th-century mathematics. It establishes a surprising and profound connection between two very different mathematical worlds and, along the way, has important consequences for number theory. An elliptic curve is not an ellipse. It is a solution of a cubic equation in two variables of the form

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