Mathematical Music Theory. This research involves several mathematical areas used in scientific Musicology, such as Category Theory, Abstract Algebra, Algebraic Combinatorics on Words. It is cross disciplinary not only with Music, but with areas such as Computer Science and Cognitive Science.
Bridge to higher Mathematics, Linear Algebra, Abstract Algebra, Multivariate Calculus, Topology.
Rodrigo Castro López Vaal:A Category-Theoretic Compositional Framework of Perceptron-Based Neural Networks plus an Architecture for Modeling Sequences Conditioned to Time-Structured Context: An Implementation of a Generative Model of Jazz Solo Improvisations https://scholarworks.gsu.edu/math_diss/67/
Jeremy Kastine:Maximally Even Tilings: Theory and Algorithms https://scholarworks.gsu.edu/math_diss/63/
Yuerong Wu: Linear Transformations, Coordinate Vectors, and Matrix Reresentation for Abstract Vector Spaces and Arbitrary Bases: Evaluating Students’ Understanding of the Matrix Representation of Linear Transformations Using the Onto-Semiotic Approach https://scholarworks.gsu.edu/entities/publication/0ed17947-868a-4ddb-a727-74d064726364
Masters thesis director
Janine du Plessis: Transformation Groups and Duality in the Analysis of Musical Structure.
Benjamin Liske: Analyzing Chord Progressions: The Role of Distancein Popular Music (Capstone Project)
Undergraduate thesis advisor
Munawar Khan, Sukkur IBA University, Pakistan. 2021-2023 Construction and Implementation of Denotators in Rubato Composer
Joonwon Seo
Juliana Spector (Universidad Politécnica de Madrid)
Sara Sabag (Universidad Politécnica de Madrid)
