Daniel Kelleher's Homepage

Hello! I am a PhD student and TA with the mathematics department at the University of Conneticut currently working with Alexander Teplyaev . Navigation to course pages can be found to the left.

REU: Analysis, Probability and Mathematical Physics on Fractals

Join us for the summer in exploration of methods of analysis on fractals. We are looking for a group of undergrads enthusiastic about mathematics to join us in studying differential equations and other operators on fractal domains. In the past our projects have included published works on vibration modes, the Laplacian, and algebraic techniques.

For more information see Alexander Teplyaev's page.

Papers

with Tyler Reese, Dylan Yott, Toni Brzoska, Analysing properties of the C. Elegans neural network: mathematically modeling a biological system, arXiv:1109.3888v1

with Matt Begue, Aaron Nelson, Hugo Panzo, Ryan Pellico and Sasha Teplyaev. Random walks on barycentric subdivisions and Strichartz hexacarpet: arXiv:1106.5567v2

with Ben Steinherst, Mike Wong. From Self-Similar Structures to Self-Similar Groups: arXiv:1011.1817v2

Talks

UConn SIGMA. (graduate student association) Spectral Graph Theory (Beamer) Fall 2010

4th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals. (Webpage) Random walks on barycentric subdivisions and Strichartz hexacarpet (Beamer) with M. Begue, A. Nelson, H. Panzo, R. Pellico and A. Teplyaev.

February Fourier Talks Spring 2011. (Webpage) From self-similar structure to self-similar groups (poster).

AMS Eastern Sectionals Fall 2010. (Webpage) From self-similar structure to self-similar groups(Beamer), given by Mike Wong, with Ben Steinhurst.

UConn SIGMA. (graduate student association) Self-Similarity and You (chalk). Bibliography Fall 2010