# Faculty interested in undergraduate research

## Rene Ardila

**Contact information:**
[email protected]

**Office: **MAK A-2-148

**Research areas:** Linear algebra, factorization theory,
connections between math and music

**Current projects: **In the same way that there are
irreducible integers (usually called prime numbers), we can also talk
about irreducible matrices which serve as the building blocks for the
rest of the matrices in a given set. Then we can ask what kind of
factorizations can a matrix have and what are the properties of those
factorizations. Another source of related questions come from
representing graphs by matrices and studying what kind of patterns we
can find in the powers of these matrices. Other projects explore
connections between mathematics and music using linear and abstract algebra.

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