Geometry determines arithmetic.
I'm Edgar Delgado Vega, a musician from Lima, Peru, who develops software to explore how ideas move between mathematics, computation, and music.
I often start with a mathematical or musical idea and wonder what happens when I carry its structure into another domain.
Code should be seen as well as heard, underlying algorithms viewed as well as their visual outcome.
As someone who enjoys questioning things, I prefer to reconstruct algorithms and ideas from music theory with enough mathematical rigor to bring patterns to light. This process also involves considering asymmetries and non-commutativity, and I find that such a systematic approach can lead to new concepts.
Precise knowledge of the behavior of an analytic function in the neighborhood of its singular points is a source of number-theoretic theorems.
Interests
I work with structures from number theory as a basis for computer-assisted music composition. In my early work, I was oriented toward explanatory theory, but I soon shifted to exploratory models, in which my interest focused on formal systems rather than their correspondence with canonical musical practice.
- Mathematical Music Theory
- Modular forms, elliptic curves, and figurate numbers
Teaching Experience
I have teaching experience at both undergraduate and postgraduate levels, particularly in live coding and musicology with a technological focus. See my teaching feedback.