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The choir has a number of awards, including the National Medal of Arts (2003), a Grammy Award for Best Performance by a Vocal Group or Chorus (1960), and three Emmy Awards (1987, 2013, 2014). The choir is also an inductee to the American Classical Music Hall of Fame (2015) and the National Association of Broadcasters Broadcasting Hall of Fame (2004). The largest act to chart on the Billboard Hot 100 is the 320-person Mormon Tabernacle Choir, whose version of "The Battle Hymn of the Republic" reached No. 13 according to The Billboard Book of Top 40 Hits in 1959.

The choir has a number of awards, including the National Medal of Arts (2003), a Grammy Award for Best Performance by a Vocal Group or Chorus (1960), and three Emmy Awards (1987, 2013, 2014). The choir is also an inductee to the American Classical Music Hall of Fame (2015) and the National Association of Broadcasters Broadcasting Hall of Fame (2004). The largest act to chart on the Billboard Hot 100 is the 320-person Mormon Tabernacle Choir, whose version of "The Battle Hymn of the Republic" reached No. 13 according to The Billboard Book of Top 40 Hits in 1959.

His theories are widely used in economics. Serving as a Senior Research Mathematician at Princeton University during the latter part of his life, he shared the 1994 Nobel Memorial Prize in Economic Sciences with game theorists Reinhard Selten and John Harsanyi. In 2015, he also shared the Abel Prize with Louis Nirenberg for his work on nonlinear partial differential equations. John Nash is the only person to be awarded both the Nobel Memorial Prize in Economic Sciences and the Abel Prize. In 1959, Nash began showing clear signs of mental illness, and spent several years at psychiatric hospitals being treated for paranoid schizophrenia. After 1970, his condition slowly improved, allowing him to return to academic work by the mid-1980s. His struggles with his illness and his recovery became the basis for Sylvia Nasar's biography, A Beautiful Mind, as well as a film of the same name starring Russell Crowe as Nash. On May 23, 2015, Nash and his wife Alicia were killed in a car crash while riding in a taxi on the New Jersey Turnpike.

Nash did groundbreaking work in the area of real algebraic geometry: Nash, John Forbes (1952). "Real algebraic manifolds". Annals of Mathematics. 56 (3): 40521. JSTOR 1969649. MR 0050928. doi:10.2307/1969649. See "Proc. Internat. Congr. Math". AMS. 1952: 51617. His work in mathematics includes the Nash embedding theorem, which shows that every abstract Riemannian manifold can be isometrically realized as a submanifold of Euclidean space. He also made significant contributions to the theory of nonlinear parabolic partial differential equations and to singularity theory. In the introduction of the book Open Problems in Mathematics that John Nash edited jointly with Michael Th. Rassias in 20142015, Mikhail Leonidovich Gromov writes about Nash's work: Nash was solving classical mathematical problems, difficult problems, something that nobody else was able to do, not even to imagine how to do it. ... But what Nash discovered in the course of his constructions of isometric embeddings is far from 'classical' it is something that brings about a dramatic alteration of our understanding of the basic logic of analysis and differential geometry. Judging from the classical perspective, what Nash has achieved in his papers is as impossible as the story of his life ... [H]is work on isometric immersions ... opened a new world of mathematics that stretches in front of our eyes in yet unknown directions and still waits to be explored. John Milnor gives a list of 21 publications. In the Nash biography A Beautiful Mind, author Sylvia Nasar explains that Nash was working on proving Hilbert's nineteenth problem, a theorem involving elliptic partial differential equations when, in 1956, he suffered a severe disappointment. He learned that an Italian mathematician, Ennio de Giorgi, had published a proof just months 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. It has been speculated that if only one had solved the problem, he would have been given the Fields Medal for the proof. In 2011, the National Security Agency declassified letters written by Nash in the 1950s, in which he had proposed a new encryptiondecryption machine. The letters show that Nash had anticipated many concepts of modern cryptography, which are based on computational hardness.