7 papers
Piecewise Symmetric Tensors
Felix Lotter, Rosa PreiÃ
Every square matrix is uniquely the sum of a symmetric matrix and a skew-symmetric matrix. We extend this familiar fact to higher order tensors: every cubic -tensor is uniquely…
Benchmarks in Leipzig
Andrei Balakin, Miklós Bóna, Marie-Charlotte Brandenburg +45
Between April 1 and May 15, 2026, a group of 49 mathematicians compiled a dataset of research-level mathematics questions with known answers. Most of the work was done during the 3…
The Universe Fan
Hadleigh Frost, Felix Lotter
The wavefunction of the universe, as studied in perturbative quantum field theory, is a rational function whose singularities and factorization properties encode a rich underlying…
Signature Varieties of Splines
Carlos Améndola, Felix Lotter, Leonard Schmitz
Splines are central objects for the interpolation of discrete data via piecewise smooth paths. Their iterated-integral signature is an infinite collection of tensors which characte…
Signature matrices of membranes
Felix Lotter, Leonard Schmitz
The signature of a membrane is a sequence of tensors whose entries are iterated integrals. We study algebraic properties of membrane signatures, with a focus on signature matrices…
Computing Path Signature Varieties in Macaulay2
Carlos Améndola, Angelo El Saliby, Felix Lotter +1
The signature of a path is a non-commutative power series whose coefficients are given by certain iterated integrals over the path coordinates. This series almost uniquely characte…