Mariana Montiel
Assistant Professor
Office: COE 708
Office phone: 404.413.6414
Email: matmxm [at]langate.gsu.edu
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
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.
Teaching Interests
Bridge to Higher Mathematics, Linear Algebra, Abstract Algebra, Multivariate Calculus, Topology.
Selected Publications
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. (An Introduction to Group Theory with Applications to Mathematical Music Theory). 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