An equiangular tight frame (ETF) is a type of optimal packing of lines in Euclidean space. A
regular simplex is a special type of ETF in which the number of vectors is one more than the …

This paper applies techniques from algebraic and differential geometry to determine how to
best pack points in real projective spaces. We present a computer-assisted proof of the …

We introduce the study of frames and equiangular lines in classical geometries over finite
fields. After developing the basic theory, we give several examples and demonstrate finite …

We provide a general program for finding nice arrangements of points in real or complex
projective space from transitive actions of finite groups. In many cases, these arrangements …

We study lines through the origin of finite-dimensional complex vector spaces that enjoy a
doubly transitive automorphism group. In doing so, we make fundamental connections with …

An equiangular tight frame (ETF) yields a type of optimal packing of lines in a Euclidean
space. ETFs seem to be rare, and all known infinite families of them arise from some type of …

An equiangular tight frame (ETF) is a sequence of unit-norm vectors in a Euclidean space
whose coherence achieves equality in the Welch bound, and thus yields an optimal packing …

We study tight projective 2‐designs in three different settings. In the complex setting,
Zauner's conjecture predicts the existence of a tight projective 2‐design in every dimension …

The theory of Gabor frames of functions defined on finite abelian groups was initially
developed in order to better understand the properties of Gabor frames of functions defined …

We study lines through the origin of finite-dimensional complex vector spaces that enjoy a
doubly transitive automorphism group. This paper classifies those lines that exhibit almost …