Scholars

Landsberg, Joseph

Professor

Positions:

Professor, Mathematics, College of Arts and Sciences

UN Sustainable Development Goals:

Single Page Bio

Profile Summary

jml@tamu.edu

1 979 845 7554

Co-author Network

Map of Science

Co-investigator Network

UN Sustainable Development Goals:

overview

My areas of research include:

1) Applications of algebraic geometry, differential geometry and representation theory to complexity theory,

2) Geometry of tensors and applications,

3) Exterior differential systems,

4) Geometry of projective varieties.

education and training

Ph.D. in , Duke University - (Durham, North Carolina, United States) 1990
Sc.B. in , Brown University - (Providence, Rhode Island, United States) 1986
M.S. in , Brown University - (Providence, Rhode Island, United States) 1986

selected publications

Academic Articles87

Jelisiejew, J., Landsberg, J. M., & Pal, A. (2023). Concise tensors of minimal border rank. MATHEMATISCHE ANNALEN. abs/2205.05713, 1-45.
Huang, H., Landsberg, J. M., & Lu, J. (2023). GEOMETRY OF BACKFLOW TRANSFORMATION ANSATZE FOR QUANTUM MANY-BODY FERMIONIC WAVEFUNCTIONS. COMMUNICATIONS IN MATHEMATICAL SCIENCES. 21(5), 1447-1453.
Conner, A., Harper, A., & Landsberg, J. M. (2023). New lower bounds for matrix multiplication and $operatorname {det}_3$. FORUM OF MATHEMATICS PI. 11,
Conner, A., Huang, H., & Landsberg, J. M. (2022). Bad and Good News for Strassen's Laser Method: Border Rank of Perm₃ and Strict Submultiplicativity. FOUNDATIONS OF COMPUTATIONAL MATHEMATICS. 23(6), 2049-2087.
Geng, R., & Landsberg, J. M. (2022). On the geometry of geometric rank. ALGEBRA & NUMBER THEORY. 16(5), 1141-1160.

Books4

Landsberg, J. M. (2017). Geometry and Complexity Theory. Cambridge University Press (CUP).
Landsberg, J. M. (2011). Tensors Geometry and Applications. American Mathematical Soc..
Ivey, T., & Landsberg, J. M. (2003). Cartan for Beginners. American Mathematical Society (AMS).
Ivey, T. A., & Landsberg, J. M. (2003). Cartan for Beginners Differential Geometry Via Moving Frames and Exterior Differential Systems. American Mathematical Soc..

Conference Papers3

Conner, A., Landsberg, J. M., Gesmundo, F., & Ventura, E. (2020). Kronecker Powers of Tensors and Strassen's Laser Method.. ITCS. 151, 10:1-10:1.
Malgouyres, F., & Landsberg, J. (2016). On the Identifiability and Stable Recovery of Deep/Multi-Layer Structured Matrix Factorization. 2016 IEEE Information Theory Workshop (ITW), 2016 IEEE Information Theory Workshop (ITW). 315-319.
Landsberg, J. M., & Ressayre, N. (2016). Permanent V. Determinant: An Exponential Lower Bound Assuming Symmetry. ITCS'16: PROCEEDINGS OF THE 2016 ACM CONFERENCE ON INNOVATIONS IN THEORETICAL COMPUTER SCIENCE, Proceedings of the 2016 ACM Conference on Innovations in Theoretical Computer Science. 29-35.