3 papers
math.GT2018
Adding a point to configurations in closed balls
Lei Chen, Nir Gadish, Justin Lanier
We answer the question of when a new point can be added in a continuous way to configurations of distinct points in a closed ball of arbitrary dimension. We show that this is p…
math.CO2018
Dimension-independent statistics of via character polynomials
Nir Gadish
Picking permutations at random, the expected number of k-cycles is known to be 1/k and is, in particular, independent of the size of the permuted set. This short note gives similar…
math.GT2016
Representation Stability for Families of Linear Subspace Arrangements
Nir Gadish
Church-Ellenberg-Farb used the language of FI-modules to prove that the cohomology of certain sequences of hyperplane arrangements with S_n-actions satisfies representation stabili…