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Patrick Tierney

Picture of Patrick Tierney.

Thesis

Realizing the 2-Associahedron

Advisor
Satyan L. Devadoss (Williams College)
Second Reader(s)
Dagan Karp

Abstract

The associahedron has appeared in numerous contexts throughout the field of mathematics. By representing the associahedron as a poset of tubings, Michael Carr and Satyan L. Devadoss were able to create a generalized version of the associahedron in the graph-associahedron. We seek to create an alternative generalization of the associahedron by considering a particle-collision model. By extending this model to what we dub the 2-associahedron, we seek to further understand the space of generalizations of the associahedron.

Additional Materials

Poster