Nonlinear Algebra and Applications
Algebraic Geometry
2025-05-27 v2
Abstract
We showcase applications of nonlinear algebra in the sciences and engineering. Our review is organized into eight themes: polynomial optimization, partial differential equations, algebraic statistics, integrable systems, configuration spaces of frameworks, biochemical reaction networks, algebraic vision, and tensor decompositions. Conversely, developments on these topics inspire new questions and algorithms for algebraic geometry.
Cite
@article{arxiv.2103.16300,
title = {Nonlinear Algebra and Applications},
author = {Paul Breiding and Türkü Özlüm Çelik and Timothy Duff and Alexander Heaton and Aida Maraj and Anna-Laura Sattelberger and Lorenzo Venturello and Oğuzhan Yürük},
journal= {arXiv preprint arXiv:2103.16300},
year = {2025}
}