This Winter quarter I plan to teach a new class.

The new class will be focused on learning from wave like data.

It was motivated by experiences I’ve had with waves containing information that can be mathematically formulated.

Spherical Harmonics, first introduced to me in a class at MIT by Prof. Richard Dudley (who is described in a previous post), have multiple applications. In Nonparametric Statistics, for example, Spherical Harmonics play a role. A paper by Quiroz in 2001 introduces the concept as a framework for hypothesis testing. In an exposition on “Tests for Multivariate Normality” I wrote for a Nonparametric Statistics class taught by Prof. Dudley I integrated some of the concepts introduced in that paper. (I was fortunate enough to be lectured by Prof. Dudley one-on-one and for that experience I will forever be grateful). Spherical harmonics are mathematical functions that arise in the solution of the angular part of Laplace’s equation in spherical coordinates. They are used to describe wave-like properties on the surface of a sphere.

This course is designed to bring students into the world where music, quantum computing, wavelets, and DNA converge through the lens of wave data analytics. This interdisciplinary course explores the profound connections between these seemingly disparate fields, all united by the fundamental principles of wave theory. |