Symbols For Sound : Exploring Mathematical Music Theory April 04, 2012

Research Interests

1) Mathematical Music Theory. This research involves Category (Topos) Theory as well as Abstract Algebra, Topology and other areas used in Scientific Musicology.
2) Semiotics of Mathematics. This research involves mathematics as a semiotic system, mathematics and language, and the ontology of mathematical objects.

Contact Information

Email: mmontiel@gsu.edu
Phone:404.413.6414

Mailing Address

Department of Mathematics and Statistics
Georgia State University
COE 708
30 Pryor Street
Atlanta, GA 30303

Teaching Interests  
Bridge to higher Mathematics, Linear Algebra, Abstract Algebra,
Multivariate Calculus, Topology.

Selected Publications

Aceff-Sánchez, F., Agustín, O., du Plessis, J., Lluis-Puebla, E. & Montiel, M. (2012). An Introduction to Group Theory with Applications to Mathematical Music Theory. Bookboon Ventus publishing Aps. ISBN: 978-87-403-0324-7. Online at: http://bookboon.com/en/textbooks/mathematics/an-introduction-to-group-theoryhttp://bookboon.com/en/textbooks/mathematics/an-introduction-to-group-theory

Agustín, O., du Plessis, J., Lluis-Puebla, E. & Montiel, M. (2009). Una Introducción a la Teoría de Grupos con Aplicaciones en la Teoría Matemática de la Música. Online publications of the Mexican Mathematical Society. ISBN: 968-9161-37-7 (online version); 968-9161-38-5 (CD version); 968-9161-36-9 (hard copy version). (textbook) http://www.smm.org.mx/smm/PETextos

Montiel, M., Wilhelmi, M. R., Vidakovic, D. & Elstak, I. (Nov., 2009) Using the Onto-Semiotic Approach to Identify and
Analyze Mathematical Meaning when Transiting between Different Coordinate Systems in a Multivariate Context,
Educational Studies in Mathematics. Springer. Volume 72, Issue2, pp. 139-160. Electronic reference: Educ Stud Math. DOI 10.1007/s10649-009-9184-2

Font, V., Montiel, M., Vidakovic, D. & Wilhelmi, M.R. (in press) Dimensional Analogy and Different Coordinate Systems
through the Lens of Three Different Theoretical Perspectives. Book Chapter. Nova Science Publishers, N.Y.

"The Denotator: Its Structure, Construction, and Role in Mathematical Music Theory" in the book: "Perspectives in
Theoretical and Computational Music Theory, Ed by G. Mazzola, Th. Noll and E. Lluis-Puebla, epOs publishers,
Universitat Osanabuek (2004).

Contributor to the book: "The Topos of Music: Geometric Logic of Concepts, Theory and Performance", Guerino Mazzola,
Birkhauser Publ, 2002

"Global Compositions in Mathematical Music Theory" Memoirs of the First International Seminar on Mathematical Music
Theory Electronic Publications of the Mexican Mathematical Society Series:Memorias Vol. 1, 2002

"Algebra and Music" in "Aportaciones Matematicas" (Mathematical Contributions), a publication of the Mexican
Mathematical Society, 1997>

 

Education

B.S. Mathematics, Universidad Nacional Autonoma de Mexico (National Autonomous University of Mexico), 1996
M.S. Mathematics, Universidad Nacional Autonoma de Mexico (National Autonomous University of Mexico), 1999
Ph.D. Mathematics, University of New Hampshire, 2005