3 papers
math.AG2024
Phylogenetic Trees and the Moduli Space of n Points on the Projective Line
Herwig Hauser, Jiayue Qi, Josef Schicho
This is an expository paper. The geometry of phylogenetic trees is used to present in an accessible and pleasant fashion the results of Deligne, Mumford, and Knudsen about the modu…
math.AG2021
A graphical algorithm for the integration of monomials in the Chow ring of the moduli space of stable marked curves of genus zero
Jiayue Qi
The Chow group of zero cycles in the moduli space of stable pointed curves of genus zero is isomorphic to the integer additive group. Let be monomial in this Chow group. If no…
math.CO2020
Five Equivalent Representations of a Phylogenetic Tree
Jiayue Qi, Josef Schicho
A phylogenetic tree is a tree with a fixed set of leaves that has no vertices of degree two. In this paper, we axiomatically define four other discrete structures on the set of lea…