Landsberg, Joseph individual record

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.

selected publications
Academic Articles76
  • Conner, A., Huang, H., & Landsberg, J. M. (2020). Bad and good news for Strassen's laser method: Border rank of the 3x3 permanent and strict submultiplicativity. CoRR. abs/2009.11391,
  • Conner, A., Harper, A., & Landsberg, J. M. (2019). New lower bounds for matrix multiplication and the 3x3 determinant. CoRR. abs/1911.07981,
  • Conner, A., Gesmundo, F., Landsberg, J. M., & Ventura, E. (2019). Rank and border rank of Kronecker powers of tensors and Strassen's laser method. computational complexity, 31 (1), 2022. abs/1909.04785,
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  • Conner, A., Gesmundo, F., Landsberg, J. M., & Ventura, E. (2019). Tensors with maximal symmetries. CoRR. abs/1909.09518,
  • Ballard, G., Ikenmeyer, C., Landsberg, J. M., & Ryder, N. (2019). The geometry of rank decompositions of matrix multiplication II: 33 matrices. Journal of Pure and Applied Algebra. 223(8), 3205-3224.
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  • Landsberg, J. M. (2017). Geometry and Complexity Theory. Cambridge University Press.
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  • Landsberg, J. M. (2011). Tensors Geometry and Applications. American Mathematical Soc..
  • Ivey, T., & Landsberg, J. M. (2003). Cartan for Beginners. American Mathematical Society.
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  • Ivey, T. A., & Landsberg, J. M. (2003). Cartan for Beginners Differential Geometry Via Moving Frames and Exterior Differential Systems. American Mathematical Soc..
Conference Papers2
  • 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.
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  • Landsberg, J. M., & Ressayre, N. (2016). Permanent v. Determinant. Proceedings of the 2016 ACM Conference on Innovations in Theoretical Computer Science, ITCS'16: Innovations in Theoretical Computer Science. 29-35.
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chaired theses and dissertations
First Name
Last Name
mailing address
Texas A&M University; Mathematics; 3368 TAMU
College Station, TX 77843-3368