26 citations · 56 across the 10 of their papers we have counts for
11 papers
Matroid analogues of Gal's conjecture
Basile Coron, Luis Ferroni, Shiyue Li
Well-known conjectures of Charney--Davis, Gal, and Nevo--Petersen predict increasingly strong positivity phenomena for the -vectors of flag simplicial spheres. In this paper, we…
Kapranov degrees
Joshua Brakensiek, Christopher Eur, Matt Larson +1
The moduli space of stable rational curves with marked points has two distinguished families of maps: the forgetful maps, given by forgetting some of the markings, and the Kapranov…
-rings of wonderful varieties and matroids
Matt Larson, Shiyue Li, Sam Payne +1
We study the -ring of the wonderful variety of a hyperplane arrangement and give a combinatorial presentation that depends only on the underlying matroid. We use this combinator…
Wonderful compactifications and rational curves with cyclic action
Emily Clader, Chiara Damiolini, Shiyue Li +1
We prove that the moduli space of rational curves with cyclic action, constructed in our previous work, is realizable as a wonderful compactification of the complement of a hyperpl…
Intersection numbers on tropical Hassett spaces
Marvin Anas Hahn, Shiyue Li
We study the intersection of tropical psi-classes on tropical heavy/light Hassett spaces, generalising a result of Kerber--Markwig for tropical moduli spaces of rational stable cur…
Permutohedral complexes and rational curves with cyclic action
Emily Clader, Chiara Damiolini, Daoji Huang +2
We define a moduli space of rational curves with finite-order automorphism and weighted orbits, and we prove that the combinatorics of its boundary strata are encoded by a particul…
Relative Bott-Samelson varieties
Shiyue Li
We prove that, defined with respect to versal flags, the product of two relative Bott-Samelson varieties over the flag bundle is a resolution of singularities of a relative Richard…
Topology of tropical moduli spaces of weighted stable curves in higher genus
Siddarth Kannan, Shiyue Li, Stefano Serpente +1
Given integers , , and a vector such that , we study the topology of the moduli space of…
Chow Rings of Heavy/Light Hassett Spaces via Tropical Geometry
Siddarth Kannan, Dagan Karp, Shiyue Li
We compute the Chow ring of an arbitrary heavy/light Hassett space . These spaces are moduli spaces of weighted pointed stable rational curves, where the associated…
The Distribution of Gaps between Summands in Generalized Zeckendorf Decompositions
Amanda Bower, Rachel Insoft, Shiyu Li +2
Zeckendorf proved that any integer can be decomposed uniquely as a sum of non-adjacent Fibonacci numbers, . Using continued fractions, Lekkerkerker proved the average number o…
The Average Gap Distribution for Generalized Zeckendorf Decompositions
Olivia Beckwith, Amanda Bower, Louis Gaudet +4
An interesting characterization of the Fibonacci numbers is that, if we write them as , , , , then every positive integer can be written un…