Hi!

My name is Alethea Barbaro, and I am a fourth year PhD student at UC Santa Barbara. I work as a Teaching Assistant for UCSB's math department and am currently teaching Math 3c and helping with Bill Jacob's Mathematical Inquiry projects.

The webpage for my Math 3c class can be found here.

As for research, I work with Bjorn Birnir at UCSB studying movement of schools of fish in 2 dimensions. We recently submitted a paper entitled Discrete and Continuous Models of the Dynamics of Pelagic Fish: Orientation-Induced Swarming and Applications to the Capelin. We are now working on applying our model to the annual migration of the Capelin stock around Iceland.

I graduated from Tufts University in May of 2003. My undergraduate advisor was Prof. Misha Kilmer. I also worked with Professor Kilmer on her research during the spring of my junior year, resulting in this paper:

Misha E. Kilmer, Eric L. Miller, Alethea Barbaro, David Boas, 3D Shape-Based Imaging for Diffuse Optical Tomography, Applied Optics, Vol. 42, pp. 3129-3144, 2003.

The advisor for my senior thesis was Prof. Boris Hasselblatt. I studied the Sharkovsky Theorem and wrote up a version of the proof and the background material necessary for an upper-level undergraduate student to understand it. The project was entitled "The Sharkovsky Theorem and Coexistence of Points with Different Periods within a Periodic Orbit".

Here is a project that I collaborated on in a computer science class:

Splash Project

Curriculum Vitae