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Guerino Mazzola : ウィキペディア英語版
Guerino Mazzola

Guerino Mazzola (born 1947) is a Swiss mathematician, musicologist, jazz pianist as well as book writer.
He graduated at the University of Zürich in Mathematics, Theoretical Physics and Crystallography and completed his PhD in Mathematics in 1971. In 1980, he habilitated in Algebraic Geometry and Representation Theory. In 2000, he was awarded the medal of the Mexican Mathematical Society. In 2003, he habilitated in Computational Science at the University of Zürich.
Mazzola has recorded several Free Jazz CDs with musicians like Mat Maneri, Heinz Geisser, Sirone, Jeff Kaiser, Scott Fields, Matt Turner and Rob Brown.
Mazzola is well known for his application of sophisticated mathematical concepts such as topos theory to music theory, described in his book ''The Topos of Music''. The result has been somewhat controversial, drawing praise from some mathematicians and music theorists (among others: Alexander Grothendieck (''Das ist wohl schon die Mathematik des neuen Zeitalters'', ''This is probably already the mathematics of the new age''), Yuri Manin, Yves André, François Nicolas, Thomas Noll), and dissent from others (among others: Dmitri Tymoczko (''If you can't learn algebraic geometry, he sometimes seems to be saying, then you have no business trying to understand Mozart.'')).
Currently he is Professor at the School of Music at the University of Minnesota.〔()〕 Since 2007 he is the president of the Society for Mathematics and Computation in Music.〔()〕
==Bibliography==

*''The Topos of Music, Geometric Logic of Concepts, Theory, and Performance''. Birkhäuser (2002) ISBN 3-7643-5731-2.
*''Comprehensive Mathematics for Computer Scientists I & II'' (here ) and Errata (here )
*''Elemente der Musikinformatik''. Birkhäuser (2006) ISBN 3-7643-7745-3.
*''La vérité du beau dans la musique''. Delatour/IRCAM (2007) ISBN 2-7521-0029-9.
*''Flow, Gesture, and Spaces in Free Jazz—Towards a Theory of Collaboration''. Springer (2009) ISBN 978-3-540-92194-3.
*''Musical Performance''. Springer (2011) ISBN 978-3-642-11837-1.
*''Musical Creativity—Strategies and Tools in Composition and Improvisation''. Springer (2011) ISBN 978-3-642-24516-9.
*''Computational Musicology in Hindustani Music''. Springer (2014) ISBN 978-3319114712.
*''Computational Counterpoint Worlds''. Springer (2015) ISBN 978-3-319-11235-0.

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