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
More filters
Journal ArticleDOI
Geometry and the complexity of matrix multiplication
TL;DR: In this paper, the authors used algebraic geometry and representation theory for proving lower bounds on the complexity of the matrix multiplication operator, and showed how geometry can be used to prove both upper and lower bounds.
Book
Geometry and Complexity Theory
TL;DR: This introduction to algebraic complexity theory for graduate students and researchers in computer science and mathematics features concrete examples that demonstrate the application of geometric techniques to real world problems.
Journal ArticleDOI
Construction and classification of complex simple Lie algebras via projective geometry
TL;DR: In this paper, the complex simple Lie algebras were constructed using elementary algebraic geometry and they were used to obtain a new proof of the classification of complex simple lie algesbras that does not appeal to the classifications of root systems.
Journal ArticleDOI
Determinantal equations for secant varieties and the Eisenbud-Koh-Stillman conjecture
TL;DR: This work puts Eisenbud's question in a more general context about the behaviour of border rank under specialisation to a linear subspace, and provides an overview of conjectures coming from signal processing and complexity theory in this context.