This page (under construction) will eventually contain research reports and notes by leaders and participants of the semester, which will added here successively.

**Hirotachi Abo**, Recent developments in the theory of tensor eigenvectors.**Fulvio Gesmundo,**Geometry of tensors: open problems and research directions.**Julia Lindberg**, Algebraic and tensor methods in statistics and optimization.**Fatemeh Mohammadi**, Applications of tensors in statistics and rigidity theory.**Alessandro Oneto**, Tensor decompositions and classical algebraic geometry.**Yang Qi**, Tropical linear regression and low rank approximation - a first step in tropical data analysis.**Kristian Ranestad**, Bad limits in power sum varieties.**Tim Seynnaeve**, Matrix product states, geometry, and invariant theory.**Neriman Tokcan**, Non-negative tensor factorizations and applications.**Nick Vannieuwenhoven**, Condition numbers in tensor decompositions.**Emanuele Ventura**, Tensors and their algebras.