Series of Nilpotent Orbits. - J. M. Landsberg; Laurent Manivel; Bruce W. Westbury (Exp. Math., 2004)

On the Ideals of Secant Varieties of Segre Varieties. - J. M. Landsberg; Laurent Manivel (Found. Comput. Math., 2004)

On Space-Time Coding in the Presence of Spatio-Temporal Correlation. - Majid Fozunbal; Steven W. McLaughlin; Ronald W. Schafer; J. M. Landsberg (IEEE Trans. Inf. Theory, 2004)

Geometry and the complexity of matrix multiplication - J. M. Landsberg (CoRR, 2007)

Holographic algorithms without matchgates - J. M. Landsberg; Jason Morton; Serguei Norine (CoRR, 2009)

An overview of mathematical issues arising in the Geometric complexity theory approach to VP v.s. VNP - Peter Bürgisser; J. M. Landsberg; Laurent Manivel; Jerzy Weyman (CoRR, 2009)

Hypersurfaces with degenerate duals and the Geometric Complexity Theory Program - J. M. Landsberg; Laurent Manivel; Nicolas Ressayre (CoRR, 2010)

On the Ranks and Border Ranks of Symmetric Tensors. - J. M. Landsberg; Zach Teitler (Found. Comput. Math., 2010)

P versus NP and geometry. - J. M. Landsberg (J. Symb. Comput., 2010)

An Overview of Mathematical Issues Arising in the Geometric Complexity Theory Approach to VP≠VNP. - Peter Bürgisser; J. M. Landsberg; Laurent Manivel; Jerzy Weyman (SIAM J. Comput., 2011)

Padded polynomials, their cousins, and geometric complexity theory - Harlan Kadish; J. M. Landsberg (CoRR, 2012)

Explicit tensors of border rank at least 2n-1 - J. M. Landsberg (CoRR, 2012)

Geometric Complexity Theory: an introduction for geometers. - J. M. Landsberg (CoRR, 2013)

Computer aided methods for lower bounds on the border rank - Jonathan D. Hauenstein; Christian Ikenmeyer; J. M. Landsberg (CoRR, 2013)

Equations for Lower Bounds on Border Rank. - Jonathan D. Hauenstein; Christian Ikenmeyer; J. M. Landsberg (Exp. Math., 2013)

Determinantal equations for secant varieties and the Eisenbud-Koh-Stillman conjecture. - Jaroslaw Buczynski; Adam Ginensky; J. M. Landsberg (J. Lond. Math. Soc., 2013)

New Lower Bounds for the Rank of Matrix Multiplication. - J. M. Landsberg (SIAM J. Comput., 2014)

On minimal free resolutions and the method of shifted partial derivatives in complexity theory. - Klim Efremenko; J. M. Landsberg; Hal Schenck; Jerzy Weyman (CoRR, 2015)

An introduction to geometric complexity theory. - J. M. Landsberg (CoRR, 2015)

Abelian Tensors. - J. M. Landsberg; Mateusz Michalek (CoRR, 2015)

Permanent v. determinant: an exponential lower bound assumingsymmetry and a potential path towards Valiant's conjecture. - Joseph M. Landsberg; Nicolas Ressayre (CoRR, 2015)

On the geometry of border rank algorithms for n x 2 by 2 x 2 matrix multiplication. - J. M. Landsberg; Nicholas Ryder (CoRR, 2015)

Connections between conjectures of Alon-Tarsi, Hadamard-Howe, and integrals over the special unitary group. - Shrawan Kumar; J. M. Landsberg (Discret. Math., 2015)

New Lower Bounds for the Border Rank of Matrix Multiplication. - Joseph M. Landsberg; Giorgio Ottaviani (Theory Comput., 2015)

Permanent v. Determinant: An Exponential Lower Bound Assuming Symmetry. - Joseph M. Landsberg; Nicolas Ressayre (ITCS, 2016)

The geometry of rank decompositions of matrix multiplication I: 2x2 matrices. - Luca Chiantini; Christian Ikenmeyer; J. M. Landsberg; Giorgio Ottaviani (CoRR, 2016)

On the complexity of the permanent in various computational models. - Christian Ikenmeyer; J. M. Landsberg (CoRR, 2016)

On the geometry of border rank algorithms for matrix multiplication and other tensors with symmetry. - J. M. Landsberg; Mateusz Michalek (CoRR, 2016)

A $2n^2-log(n)-1$ lower bound for the border rank of matrix multiplication. - J. M. Landsberg; Mateusz Michalek (CoRR, 2016)

Complexity of Linear Circuits and Geometry. - Fulvio Gesmundo; Jonathan D. Hauenstein; Christian Ikenmeyer; J. M. Landsberg (Found. Comput. Math., 2016)

On the Geometry of Border Rank Algorithms for n × 2 by 2 × 2 Matrix Multiplication. - J. M. Landsberg; Nicholas Ryder (Exp. Math., 2017)

On the Geometry of Border Rank Decompositions for Matrix Multiplication and Other Tensors with Symmetry. - J. M. Landsberg; Mateusz Michalek (SIAM J. Appl. Algebra Geom., 2017)

The geometry of rank decompositions of matrix multiplication II: 3×3 matrices. - Grey Ballard; Christian Ikenmeyer; J. M. Landsberg; Nick Ryder (CoRR, 2018)

A geometric study of Strassen's asymptotic rank conjecture and its variants. - Austin Conner; Fulvio Gesmundo; Joseph M. Landsberg; Emanuele Ventura; Yao Wang (CoRR, 2018)

The complexity of matrix multiplication: developments since 2014. Extended abstract of 2018 Oberwolfach Complexity meeting plenary lecture. - Joseph M. Landsberg (CoRR, 2018)

The method of shifted partial derivatives cannot separate the permanent from the determinant. - Klim Efremenko; J. M. Landsberg; Hal Schenck; Jerzy Weyman (Math. Comput., 2018)

Tensors with maximal symmetries. - Austin Conner; Fulvio Gesmundo; Joseph M. Landsberg; Emanuele Ventura (CoRR, 2019)

New lower bounds for matrix multiplication and the 3x3 determinant. - Austin Conner; Alicia Harper; J. M. Landsberg (CoRR, 2019)

Towards finding hay in a haystack: explicit tensors of border rank greater than 2.02m in Cm ⊗ Cm ⊗ Cm. - J. M. Landsberg; Mateusz Michalek (CoRR, 2019)

The Geometry of Rank Decompositions of Matrix Multiplication I: 2 × 2 Matrices. - Luca Chiantini; Christian Ikenmeyer; J. M. Landsberg; Giorgio Ottaviani (Exp. Math., 2019)

Explicit Polynomial Sequences with Maximal Spaces of Partial Derivatives and a Question of K. Mulmuley. - Fulvio Gesmundo; Joseph M. Landsberg (Theory Comput., 2019)

Kronecker Powers of Tensors and Strassen's Laser Method. - Austin Conner; Joseph M. Landsberg; Fulvio Gesmundo; Emanuele Ventura (ITCS, 2020)

Bad and good news for Strassen's laser method: Border rank of the 3x3 permanent and strict submultiplicativity. - Austin Conner; Hang Huang; J. M. Landsberg (CoRR, 2020)

On the geometry of geometric rank. - Runshi Geng; J. M. Landsberg (CoRR, 2020)

Algebraic Geometry and Representation theory in the study of matrix multiplication complexity and other problems in theoretical computer science. - J. M. Landsberg (CoRR, 2021)

Rank and border rank of Kronecker powers of tensors and Strassen's laser method. - Austin Conner; Fulvio Gesmundo; Joseph M. Landsberg; Emanuele Ventura (Comput. Complex., 2022)

Concise tensors of minimal border rank. - Joachim Jelisiejew; J. M. Landsberg; Arpan Pal 003 (CoRR, 2022)

On Linear spaces of of matrices bounded rank. - Hang Huang; J. M. Landsberg (CoRR, 2023)

Bad and Good News for Strassen's Laser Method: Border Rank of $ mathrm{Perm}_3$ and Strict Submultiplicativity. - Austin Conner; Hang Huang; J. M. Landsberg (Found. Comput. Math., 2023)