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    In the book A Beautiful Mind, author Sylvia Nasar explains that Nash was working on proving a theorem involving elliptic partial differential equations when, in 1956, he suffered a severe disappointment when he learned of an Italian mathematician, Ennio de Giorgi, who had published a proof a couple of months[vague] before Nash achieved his proof.

    Each took different routes to get to their solutions. The two mathematicians met each other at the Courant Institute of Mathematical Sciences of New York University during the summer of 1956.

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    It has been speculated that if only one of them had solved the problem, he would have been given the Fields Medal for the proof.

    [3] In 2011, the National Security Agency declassified letters written by Nash in 1950s, in which he had proposed a new encryption-decryption machine. [7] The letters show that Nash had anticipated many concepts of modern cryptography, which are based on computational hardness.

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    [8] In 1951, Nash went to the Massachusetts Institute of Technology as a C.

    L. E. Moore Instructor in the mathematics faculty. There, he met Alicia Lopez-Harrison de Lardé (born January 1, 1933), a physics student from El Salvador, whom he married in February 1957.

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    She admitted Nash to a mental hospital in 1959 for schizophrenia; their son, John Charles Martin Nash, was born soon afterward, but remained nameless for a year because his mother felt that her husband should have a say in the name.

    Nash and de Lardé divorced in 1963, though after his final hospital discharge in 1970 Nash lived in de Lardé's house.

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