Guerino Bruno Mazzola | |
|---|---|
 At University of Zurich, 2002 | |
| Background information | |
| Birth name | Guerino Mazzola |
| Born | February 2, 1947 |
| Origin | Dübendorf (Canton of Zürich), Switzerland |
| Genres | Free jazz |
| Occupation(s) | Mathematician, music theorist, musician |
| Instrument(s) | Piano |
| Website | www.encyclospace.org |
Guerino Bruno Mazzola (born 1947) is a Swiss mathematician, musicologist, and jazz pianist, as well as a writer.
Mazzola obtained his PhD in mathematics at University of Zürich in 1971 under the supervision of Herbert Groß and Bartel Leendert van der Waerden. [1] 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 was an associate professor at Laval University in 1996 and at Ecole Normale Supérieure in Paris in 2005. [2] Since 2007, he is professor at the School of Music at the University of Minnesota. [3] From 2007 to 2021 he was the president of the Society for Mathematics and Computation in Music. [4]
Mazzola is well known for his music theory book The Topos of Music. [5] The result has drawn dissent from Dmitri Tymoczko, who said of Mazzola: "If you can't learn algebraic geometry, he sometimes seems to be saying, then you have no business trying to understand Mozart." [6]
Mazzola has recorded several free jazz CDs with musicians like Mat Maneri, Heinz Geisser, Sirone, Jeff Kaiser, Scott Fields, Matt Turner and Rob Brown. His 2010 album Dancing the Body of Time was recorded in concert at the Pit Inn in Tokyo. [7]
A reviewer of Dancing the Body of Time mentioned similarities between Mazzola's playing style and that of Cecil Taylor. [7] This was also mentioned by the AllMusic reviewer of Mazzola's earlier Toni's Delight: Live in Seoul, who also stated that Mazzola "infuses his incredible technique with a blues aesthetic and a sometimes-romantic stamp, overwhelming everything in his path". [8]
Category theory is a general theory of mathematical structures and their relations that was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of the 20th century in their foundational work on algebraic topology. Nowadays, category theory is used in almost all areas of mathematics, and in some areas of computer science. In particular, many constructions of new mathematical objects from previous ones, that appear similarly in several contexts are conveniently expressed and unified in terms of categories. Examples include quotient spaces, direct products, completion, and duality.
In music, counterpoint is the relationship between two or more musical lines which are harmonically interdependent yet independent in rhythm and melodic contour. It has been most commonly identified in the European classical tradition, strongly developing during the Renaissance and in much of the common practice period, especially in the Baroque period. The term originates from the Latin punctus contra punctum meaning "point against point", i.e. "note against note".
In mathematics and computer science, computational number theory, also known as algorithmic number theory, is the study of computational methods for investigating and solving problems in number theory and arithmetic geometry, including algorithms for primality testing and integer factorization, finding solutions to diophantine equations, and explicit methods in arithmetic geometry. Computational number theory has applications to cryptography, including RSA, elliptic curve cryptography and post-quantum cryptography, and is used to investigate conjectures and open problems in number theory, including the Riemann hypothesis, the Birch and Swinnerton-Dyer conjecture, the ABC conjecture, the modularity conjecture, the Sato-Tate conjecture, and explicit aspects of the Langlands program.
Mat Maneri is an American composer, violin, and viola player. He is the son of the saxophonist Joe Maneri and Sonja Maneri.
Joe McPhee is an American jazz multi-instrumentalist born in Miami, Florida, a player of tenor, alto, and soprano saxophone, the trumpet, flugelhorn and valve trombone. McPhee grew up in Poughkeepsie, New York, and is most notable for his free jazz work done from the late 1960s to the present day.
Roy Sinclair Campbell Jr. was an American trumpeter frequently linked to free jazz, although he also performed rhythm and blues and funk during his career.
Vinny Golia is an American composer and multi-instrumentalist specializing in woodwind instruments. He performs in the genres of contemporary music, jazz, free jazz, and free improvisation.
Jean-Yves Béziau is a professor and researcher of the Brazilian Research Council (CNPq) at the University of Brazil in Rio de Janeiro.
Music theory analyzes the pitch, timing, and structure of music. It uses mathematics to study elements of music such as tempo, chord progression, form, and meter. The attempt to structure and communicate new ways of composing and hearing music has led to musical applications of set theory, abstract algebra and number theory.
Om is a posthumously-released album by John Coltrane, recorded on October 1, 1965, one day after the recording of Live in Seattle, and one day prior to the recording of the music heard on A Love Supreme: Live in Seattle. The album, which features Coltrane's quartet plus three additional players, consists of a single 29-minute work that was split into two parts when released on LP. Om was issued by Impulse! in 1968, and was also included on The Major Works of John Coltrane, a compilation CD released in 1992.
Silkheart Records is a Swedish record company and label dedicated to improvised music and free jazz.
In mathematical logic, institutional model theory generalizes a large portion of first-order model theory to an arbitrary logical system.
Rubato Composer is free (GPL) software that allows one to compose music or transform existing music with the help of mathematical Category Theory and Topos Theory. It is currently the only software for music composition based on Category Theory. It was developed by Gérard Milmeister and Guerino Mazzola. The predecessor Presto is no longer developed and runs only on Atari computers.
Jean-François Le Gall is a French mathematician working in areas of probability theory such as Brownian motion, Lévy processes, superprocesses and their connections with partial differential equations, the Brownian snake, random trees, branching processes, stochastic coalescence and random planar maps. He received his Ph.D. in 1982 from Pierre and Marie Curie University under the supervision of Marc Yor. He is currently professor at the University of Paris-Sud in Orsay and is a senior member of the Institut universitaire de France. He was elected to French academy of sciences, December 2013.
Norris Jones, better known as Sirone was an American jazz bassist and composer.
Randall J. LeVeque is a Professor of Applied Mathematics at University of Washington who works in many fields including numerical analysis, computational fluid dynamics, and mathematical theory of conservation laws. Among other contributions, he is lead developer of the open source software project Clawpack for solving hyperbolic partial differential equations using the finite volume method. With Zhilin Li, he has also devised a numerical technique called the immersed interface method for solving problems with elastic boundaries or surface tension.
Jürgen Jost is a German mathematician specializing in geometry. He has been a director of the Max Planck Institute for Mathematics in the Sciences in Leipzig since 1996.
Orbit is a collaborative album by American jazz saxophonist Rob Brown and the Swiss duo composed of pianist Guerino Mazzola and percussionist Heinz Geisser. It was recorded in 1996 and released on the Music & Arts label. Mazzola and Geisser worked together since 1994, before this album they played as a trio of similar instrumentation with Swiss saxophonist Mathias Rissi instead of Brown.
Peter Lancaster is a British-Canadian mathematician. He is professor emeritus at the University of Calgary, where he has worked since 1962. His research focuses on matrix analysis and related fields, motivated by problems from vibration theory, numerical analysis, systems theory, and signal processing.
Jeff Kaiser is an American trumpet player and composer who teaches music technology and music composition at the University of Central Missouri. As a trumpet player, he has performed and recorded with Vinny Golia's Large Ensemble, Eugene Chadbourne, The Motor Totemist Guild, Guerino Mazzola, and played on the soundtrack for the HBO TV Series, Deadwood. As a composer and performer, Kaiser's recording on Nine Winds Records, Nothing is Not Breath has been referred to on AllMusic as "one of the best presentations of Southern California improvising talent ever recorded, indicating his superior talents as a bandleader and conductor.” Performances of his experimental big band, The Jeff Kaiser Ockodektet have been included among the top jazz concerts in San Diego.
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