**
In this discussion we will describe our ongoing research in
visualizing and sonifying
mathematical constructs at the atomic and quantum levels.
**

**In the first part of the lecture, we will discuss granular
synthesis, and a family of
time-frequency analysis techniques known as "atomic decomposition"
or "dictionary-based methods."
In the second part of the lecture, we will describe our
research into sonification and
visualization of two models used in quantum mechanics- the Bloch
sphere and the time-dependent
Schrodinger equation.
**

**The role of the artist is to make the invisible visible, and
as such, we are interested in
providing an experience of these models through real-time
interaction and multimodal representation.
Imagine you could shrink yourself down to an electron and navigate
the probability wave. Would you
discover new patterns in the information by this type of
investigation? If we construct perceptual
representations based on mathematical models, we may discover new
insights about our data.
**

**We will demonstrate our research aurally and visually, and
culminate with an immersive
demonstration in the Allosphere research instrument.
**

**
**