Pure mathematics · Project 01
Can One Hear the Shape of a Drum?
An exploration of spectral geometry and a deceptively simple question: how much can the frequencies of a domain tell us about its shape?
- Field
- Spectral geometry
- Status
- Research archive in progress
- Format
- Paper, notes, and figures
- Role
- Details to be added
Introduction
Geometry through sound
The project begins with the eigenvalues of the Laplacian and asks what geometric information they encode. This space can later hold the motivation, mathematical background, central arguments, and the moments when intuition changed direction.
For now, the page stays deliberately light: the research document below will carry the technical work, while this introduction will eventually make the problem accessible before a reader enters the details.
Project document
Paper & working notes
The embedded PDF is a temporary one-page outline. Replace it with the final paper or research notes while keeping the same filename.