J
Joseph M. Landsberg
Researcher at Texas A&M University
Publications - 168
Citations - 5167
Joseph M. Landsberg is an academic researcher from Texas A&M University. The author has contributed to research in topics: Rank (linear algebra) & Matrix multiplication. The author has an hindex of 36, co-authored 162 publications receiving 4754 citations. Previous affiliations of Joseph M. Landsberg include Centre national de la recherche scientifique & University of Pennsylvania.
Papers
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Book
Tensors: Geometry and Applications
TL;DR: This book has three intended uses: a classroom textbook, a reference work for researchers in the sciences, and an account of classical and modern results in (aspects of) the theory that will be of interest to researchers in geometry.
Book
Cartan for beginners
TL;DR: In this article, Cartan-Kahler et al. present the Cartan algorithm for linear Pfaffian systems for moving frames and exterior differential systems in projective geometry.
Journal ArticleDOI
On the Ranks and Border Ranks of Symmetric Tensors
Joseph M. Landsberg,Zach Teitler +1 more
TL;DR: In this article, the rank and border rank of symmetric tensors were studied using geometric methods. And the rank of a polynomial is obtained by considering the singularities of the hypersurface defined by the polynomials.
Journal ArticleDOI
On the projective geometry of rational homogeneous varieties
TL;DR: In this article, the varieties of linear spaces on rational homogeneous varieties were determined, and a geometric model for these spaces was provided, and basic facts about the local differential geometry of rational homogenous varieties were established.
Journal ArticleDOI
On the Ideals of Secant Varieties of Segre Varieties
TL;DR: In this paper, the authors established basic techniques for determining the ideals of secant varieties of Segre varieties and solved a conjecture of Garcia, Stillman, and Sturmfels on the generators of the ideal of the first secant variety in the case of three factors.