9 citations · 10 across the 7 of their papers we have counts for
7 papers
The geometry of a counting formula for deformations of the braid arrangement
Neha Goregaokar, Aaron Lin
We consider real hyperplane arrangements whose hyperplanes are of the form for some integer , which we call deformations of the braid arrangement. In 2018, B…
Labeled Chip-Firing on Undirected -ary Trees
Ryota Inagaki, Aaron Lin
We explore labeled chip-firing on undirected -ary trees, trees where every vertex has degree . First, we extend known results for binary trees from Musiker and Nguyen, incl…
Ordinary hyperspheres and spherical curves
Aaron Lin, Konrad Swanepoel
An ordinary hypersphere of a set of points in real -space, where no points lie on a -sphere or a -flat, is a hypersphere (including the degenerate case of a…
Equilateral sets in the sum of Euclidean spaces
Aaron Lin
Let denote the (real) -dimensional Euclidean space. It is not known whether an equilateral set in the sum of and , denoted here as ,…
On sets defining few ordinary hyperplanes
Aaron Lin, Konrad Swanepoel
Let be a set of points in real projective -space, not all contained in a hyperplane, such that any points span a hyperplane. An ordinary hyperplane of is a hyper…
Ordinary planes, coplanar quadruples, and space quartics
Aaron Lin, Konrad Swanepoel
An ordinary plane of a finite set of points in real 3-space with no three collinear is a plane intersecting the set in exactly three points. We prove a structure theorem for sets o…