Gene Ward Smith: Difference between revisions

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'''Gene Ward Smith''' (b. 1947) is a mathematician, music theorist, and composer.

'''Gene Ward Smith''' (b. 1947, d. 2021) was a mathematician, music theorist, and composer.

In mathematics, he ~~has~~ worked in the areas of [[Wikipedia:Galois theory|Galois theory]] and [[Wikipedia:Monstrous moonshine|Moonshine theory]].

In mathematics, he worked in the areas of [[Wikipedia:Galois theory|Galois theory]] and [[Wikipedia:Monstrous moonshine|Moonshine theory]].

In music theory, he introduced [[Wikipedia:Exterior_algebra|wedge products]] as a way of classifying [[Regular_Temperaments|regular temperaments]]. In this system, a temperament is specified by means of a [[Wedgies_and_Multivals|wedgie]], which may technically be identified as a point on a [[Wikipedia:Grassmannian|Grassmannian]]. He has long drawn attention to the relationship between [[Equal_Temperaments|equal divisions of the octave]] and the [[The_Riemann_Zeta_Function_and_Tuning|Riemann zeta function]].[[#cite_note-1|[1]]][[#cite_note-2|[2]]][[#cite_note-3|[3]]] He [http://www.webcitation.org/67ZUSajSK early on] identified and emphasized free abelian groups of finite rank and their homomorphisms, and it was from that perspective that he contributed to the creation of the [http://x31eq.com/paradigm.html regular mapping paradigm].

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-'''Gene Ward Smith''' (b. 1947) is a mathematician, music theorist, and composer.
+'''Gene Ward Smith''' (b. 1947, d. 2021) was a mathematician, music theorist, and composer.
-In mathematics, he has worked in the areas of [[Wikipedia:Galois theory|Galois theory]] and [[Wikipedia:Monstrous moonshine|Moonshine theory]].
+In mathematics, he worked in the areas of [[Wikipedia:Galois theory|Galois theory]] and [[Wikipedia:Monstrous moonshine|Moonshine theory]].
 In music theory, he introduced [[Wikipedia:Exterior_algebra|wedge products]] as a way of classifying [[Regular_Temperaments|regular temperaments]].  In this system, a temperament is specified by means of a [[Wedgies_and_Multivals|wedgie]], which may technically be identified as a point on a [[Wikipedia:Grassmannian|Grassmannian]].  He has long drawn attention to the relationship between [[Equal_Temperaments|equal divisions of the octave]] and the [[The_Riemann_Zeta_Function_and_Tuning|Riemann zeta function]].</sup>[[#cite_note-1|[1]]]</sup></sup>[[#cite_note-2|[2]]]</sup></sup>[[#cite_note-3|[3]]]</sup> He [http://www.webcitation.org/67ZUSajSK early on] identified and emphasized free abelian groups of finite rank and their homomorphisms, and it was from that perspective that he contributed to the creation of the [http://x31eq.com/paradigm.html regular mapping paradigm].