J. Landsberg

发表

Tensors: Geometry and Applications

J. Landsberg, 2011 .

The border rank of the multiplication of 2×2 matrices is seven

J. Landsberg, 2005 .

Equations for secant varieties of Veronese and other varieties

J. Landsberg, G. Ottaviani, 2011, 1111.4567.

Equations for secant varieties to Veronese varieties

J. Landsberg, G. Ottaviani, 2010, 1006.0180.

Moving frames and exterior differential systems

J. Landsberg, T. Ivey, 2003 .

Cartan for beginners

J. Landsberg, T. Ivey, 2003 .

On the ideals and singularities of secant varieties of Segre varieties

J. Landsberg, J. Weyman, 2006, math/0601452.

Generalizations of Strassen's Equations for Secant Varieties of Segre Varieties

J. Landsberg, L. Manivel, 2006, math/0601097.

On secant varieties of compact Hermitian symmetric spaces

J. Landsberg, J. Weyman, 2008, 0802.3402.

Matrix product states and the quantum max-flow/min-cut conjectures

J. Landsberg, Fulvio Gesmundo, M. Walter, 2018, Journal of Mathematical Physics.

Kruskal's theorem

J. M. Landsberg, J. Landsberg, 2009, 0902.0543.

Cartan for Beginners: Differential Geometry via Moving Frames and Exterior Differential Systems, Second Edition

J. Landsberg, T. Ivey, 2016 .

Polynomials and the exponent of matrix multiplication

J. Landsberg, L. Chiantini, G. Ottaviani, 2017, 1706.05074.

Ranks of tensors and a generalization of secant varieties

J. Landsberg, J. Buczynski, Jaroslaw Buczy'nski, 2009, 0909.4262.

RANKS OF TENSORS AND AND A GENERALIZATION OF SECANT VARIETIES

J. Landsberg, 2009 .

The Geometry of Matrix Rigidity

Nisheeth K. Vishnoi, Joseph M. Landsberg, Jacob Taylor, 2003 .

HINTS OF UNIVERSALITY FROM INFLECTION POINT INFLATION A Dissertation by SEAN DONOVAN DOWNES Submitted to the Office of Graduate Studies of Texas A&M University in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY

J. Landsberg, T. Kamon, B. Dutta, 2013 .

Bad and Good News for Strassen’s Laser Method: Border Rank of Perm3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ma

J. Landsberg, Austin Conner, Hang Huang, 2022, Foundations of Computational Mathematics.

Kronecker powers of tensors and Strassen's laser method

Emanuele Ventura, Austin Conner, Joseph M. Landsberg, 2019, ITCS.

New lower bounds for matrix multiplication and $\operatorname {det}_3$

J. Landsberg, Austin Conner, Alicia Harper, 2023, Forum of Mathematics, Pi.

Kronecker powers of tensors and Strassen's laser method

J. Landsberg, Fulvio Gesmundo, Emanuele Ventura, 2019, ITCS.

A SUMMARY OF MY RESEARCH (JANUARY 2019)

J. Landsberg, 2019 .

An explicit description of the irreducible components of the set of matrix pencils with bounded normal rank

J. Landsberg, F. M. Dopico, Fernando De Ter'an, 2016, 1606.02574.

Concise tensors of minimal border rank

J. Landsberg, Joachim Jelisiejew, Arpan Pal, 2022, 2205.05713.

Secant varieties and the complexity of matrix multiplication

J. Landsberg, 2022, 2208.00857.

On symmetric degeneracy loci, spaces of symmetric matrices of constant rank and dual varieties

J. Landsberg, Bo Ilic, 1996, alg-geom/9611025.

Exterior differential systems: a geometric approach to PDE. Lecture notes from the 1997 Daewoo workshop

J. Landsberg, 1997, dg-ga/9708005.

On the ideals and singularities of secant varieties of Segre varieties

J. Landsberg, J. Weyman, 2006, math/0601452.

On the Ideals of Secant Varieties of Segre Varieties

J. Landsberg, L. Manivel, Joseph M. Landsberg, 2003, Found. Comput. Math..

Bad and Good News for Strassen’s Laser Method: Border Rank of $$\mathrm{Perm}_3$$ and Strict Submultiplicativity

J. Landsberg, Austin Conner, Hang Huang, 2022, Foundations of Computational Mathematics.

Representation Theory and Projective Geometry

J. Landsberg, L. Manivel, Joseph M. Landsberg, 2002, math/0203260.

Lines and osculating lines of hypersurfaces

J. Landsberg, C. Robles, 2010 .

Equations for secant varieties of Veronese and other varieties

J. Landsberg, G. Ottaviani, 2011, Annali di Matematica Pura ed Applicata.

Minimal submanifolds defined by first-order systems of PDE

J. Landsberg, 1992 .

Differential Geometry of Submanifolds of Projective Space

J. Landsberg, Joseph M. Landsberg, 2006, math/0609507.

The sextonions and $E_{7\frac 12}$

J. Landsberg, L. Manivel, 2004, math/0402157.

A universal dimension formula for complex simple Lie algebras

J. Landsberg, L. Manivel, J. M. Landsberg, 2004, math/0401296.

On the third secant variety

J. Landsberg, J. Buczynski, J. Buczýnski, 2014, Journal of Algebraic Combinatorics.

Geometric complexity theory: an introduction for geometers

J. Landsberg, 2014, ANNALI DELL'UNIVERSITA' DI FERRARA.

On the geometry of geometric rank

J. Landsberg, Runshi Geng, 2020, Algebra & Number Theory.

Algebraic Geometry and Representation theory in the study of matrix multiplication complexity and other problems in theoretical computer science pdf

J. M. Landsberg, J. Landsberg, 2021, Differential Geometry and its Applications.

Abelian Tensors pdf

J. M. Landsberg, Mateusz Michalek, J. Landsberg, 2015, ArXiv.

Series of Lie groups

J. Landsberg, L. Manivel, 2002, math/0203241.

Geometry and Complexity Theory

J. M. Landsberg, J. Landsberg, 2017 .

An Overview of Mathematical Issues Arising in the Geometric Complexity Theory Approach to VP≠VNP pdf

J. M. Landsberg, Peter Bürgisser, Laurent Manivel, 2009, SIAM J. Comput..

New Lower Bounds for the Border Rank of Matrix Multiplication

J. M. Landsberg, Giorgio Ottaviani, J. Landsberg, 2011, Theory Comput..

Concise tensors of minimal border rank

J. Landsberg, Joachim Jelisiejew, Arpan Pal, 2022, Mathematische Annalen.

Rank and border rank of Kronecker powers of tensors and Strassen's laser method

Emanuele Ventura, Austin Conner, Joseph M. Landsberg, 2019, computational complexity.

Towards a geometric approach to Strassen’s asymptotic rank conjecture

J. Landsberg, Fulvio Gesmundo, Emanuele Ventura, 2018, Collectanea Mathematica.

J an 2 01 1 AN OVERVIEW OF MATHEMATICAL ISSUES ARISING IN THE GEOMETRIC COMPLEXITY THEORY APPROACH TO VP

J. Landsberg, J. Weyman, L. Manivel, 2021 .

Geometry of backflow transformation ansatz for quantum many-body fermionic wavefunctions

J. M. Landsberg, Hang Huang, Jianfeng Lu, 2021, 2111.10314.

REALITY AND COMPUTATION IN SCHUBERT CALCULUS A Dissertation by NICKOLAS JASON HEIN

J. M. Rojas, J. Landsberg, N. Amato, 2013 .

Explicit polynomial sequences with maximal spaces of partial derivatives and a question of K. Mulmuley pdf

J. M. Landsberg, Fulvio Gesmundo, J. Landsberg, 2017, Theory Comput..

On the Ranks and Border Ranks of Symmetric Tensors

J. M. Landsberg, Zach Teitler, J. Landsberg, 2009, Found. Comput. Math..

On the third secant variety

J. M. Landsberg, J. Landsberg, Jarosław Buczyński, 2011, 1111.7005.

Determinantal equations for secant varieties and the Eisenbud–Koh–Stillman conjecture

J. M. Landsberg, Jaroslaw Buczynski, Adam Ginensky, 2010, J. Lond. Math. Soc..

Generalizations of Strassen's Equations for Secant Varieties of Segre Varieties

J. Landsberg, L. Manivel, Joseph M. Landsberg, 2006, math/0601097.

The Projective Geometry of Freudenthal's Magic Square

J. Landsberg, L. Manivel, 1999, math/9908039.

On the projective geometry of rational homogeneous varieties

J. Landsberg, L. Manivel, 1998, math/9810140.

Griffiths-Harris rigidity of compact Hermitian symmetric spaces

J. Landsberg, 2002, math/0207287.

On the Infinitesimal Rigidity of Homogeneous Varieties

J. Landsberg, 1997, Compositio Mathematica.

On Degenerate Secant and Tangential Varieties and Local Differential Geometry

J. Landsberg, 1994, alg-geom/9412012.

On the Debarre-de Jong and Beheshti-Starr conjectures on hypersurfaces with too many lines

J. Landsberg, O. Tommasi, 2008, 0810.4158.

Series of Nilpotent Orbits

J. M. Landsberg, Laurent Manivel, Bruce W. Westbury, 2002, Exp. Math..

Equations for secant varieties via vector bundles

J. M. Landsberg, J. Landsberg, G. Ottaviani, 2010, 1010.1825.

Geometry and the complexity of matrix multiplication pdf

J. M. Landsberg, J. Landsberg, 2007, ArXiv.

Complexity of Linear Circuits and Geometry

J. Landsberg, J. Hauenstein, Fulvio Gesmundo, 2013, Found. Comput. Math..

Tensors with maximal symmetries

J. Landsberg, Fulvio Gesmundo, Emanuele Ventura, 2019, ArXiv.

THE RIGIDITY OF HOMOGENOUS VARIETIES

J. Landsberg, 2009 .

Exterior differential systems, Lie algebra cohomology, and the rigidity of homogenous varieties

J. Landsberg, 2008, 0802.4280.

Fubini-Griffiths-Harris rigidity and Lie algebra cohomology

J. Landsberg, C. Robles, 2007, 0707.3410.

REFERENCES ON SERIES OF LIE GROUPS

Bruce W. Westbury, J. Landsberg, A. Pocklington, 2007 .

The sextonions and E712

J. Landsberg, L. Manivel, 2006 .

Legendrian varieties

J. Landsberg, L. Manivel, 2004, math/0407279.

The Sextonions and E 7

J. Landsberg, L. Manivel, 2004 .

Triality, Exceptional Lie Algebras and Deligne Dimension Formulas☆

J. Landsberg, L. Manivel, 2001, math/0107032.

Construction and classification of complex simple Lie algebras via projective geometry

Laurent Manivel, Joseph M. Landsberg, J. Landsberg, 2002 .

Classification of complex simple Lie algebras via projective geometry geometry

J. Landsberg, L. Manivel, 1999, math/9902102.

On the projective geometry of homogeneous varieties

J. Landsberg, 2022 .

On the geometry of border rank algorithms for matrix multiplication and other tensors with symmetry

J. M. Landsberg, Mateusz Michalek, J. Landsberg, 2016, ArXiv.

Fubini-Griffiths-Harris rigidity of homogeneous varieties

J. Landsberg, C. Robles, 2011, 1104.3091.

P versus NP and geometry

J. M. Landsberg, J. Landsberg, J. M. Landsberg, 2009, J. Symb. Comput..

DIFFERENTIAL GEOMETRY OF SUBMANIFOLDS OF PROJECTIVE SPACE: ROUGH DRAFT

J. Landsberg, 2006 .

On second fundamental forms of projective varieties

J. Landsberg, 1994 .

Differential-geometric characterizations of complete intersections

J. Landsberg, 1994, alg-geom/9407002.

On isometric and minimal isometric embeddings

J. Landsberg, T. Ivey, 1995, dg-ga/9508004.

On minimal free resolutions of sub-permanents and other ideals arising in complexity theory

Klim Efremenko, Hal Schenck, Jerzy Weyman, 2015, Journal of Algebra.

On minimal free resolutions and the method of shifted partial derivatives in complexity theory pdf

J. M. Landsberg, Klim Efremenko, Hal Schenck, 2015, ArXiv.

Equations for Lower Bounds on Border Rank

J. M. Landsberg, Jonathan D. Hauenstein, Christian Ikenmeyer, 2013, Exp. Math..

New lower bounds for matrix multiplication and the 3x3 determinant pdf

J. M. Landsberg, Austin Conner, Alicia Harper, 2019, ArXiv.

New lower bounds for matrix multiplication and $\operatorname {det}_3$

J. Landsberg, Austin Conner, Alicia Harper, 2023, Forum of Mathematics, Pi.

Bad and good news for Strassen's laser method: Border rank of the 3x3 permanent and strict submultiplicativity pdf

J. M. Landsberg, Austin Conner, Hang Huang, 2020, ArXiv.

The geometry of rank decompositions of matrix multiplication II: $3\times 3$ matrices

J. M. Landsberg, Grey Ballard, Nick Ryder, 2018 .

The geometry of rank decompositions of matrix multiplication II: 3×3 matrices pdf

J. M. Landsberg, Giorgio Ottaviani, Christian Ikenmeyer, 2018, Journal of Pure and Applied Algebra.

On the Geometry of Border Rank Algorithms for n × 2 by 2 × 2 Matrix Multiplication

J. M. Landsberg, Nicholas Ryder, J. Landsberg, 2015, Exp. Math..

Lines on hypersurfaces

J. Landsberg, C. Robles, 2008, 0805.2581.

Stable recovery of the factors from a deep matrix product and application to convolutional networks. Focus on sparsity constraints pdf

François Malgouyres, Joseph Landsberg, J. Landsberg, 2017, ArXiv.

Multilinear Compressive Sensing and an Application to Convolutional Linear Networks

Joseph Landsberg, Francois Malgouyres, J. Landsberg, 2017, SIAM J. Math. Data Sci..

On tangential varieties of rational homogeneous varieties

J. Landsberg, J. Weyman, 2005, math/0509388.

Tensors: Asymptotic Geometry and Developments 2016–2018

J. M. Landsberg, J. Landsberg, 2019, CBMS Regional Conference Series in Mathematics.

Equivariant spaces of matrices of constant rank

J. Landsberg, L. Manivel, 2022, 2212.04228.

Algebraic geometry and projective differential geometry

J. Landsberg, 1999 .

Is a linear space contained in a submanifold? – On the number of derivatives needed to tell

Joseph M. Landsberg, J. Landsberg, 1999 .

On Linear spaces of of matrices bounded rank

J. Landsberg, Hang Huang, 2023, ArXiv.

On the Griffiths-Harris conjecture on varieties with degenerate Gauss mappings

J. Landsberg, M. Akivis, V. V. Goldberg, 1999, math/9908079.

A $2n^2-log(n)-1$ lower bound for the border rank of matrix multiplication pdf

J. M. Landsberg, Mateusz Michalek, J. Landsberg, 2016, ArXiv.

An introduction to geometric complexity theory pdf

J. M. Landsberg, J. Landsberg, 2015, ArXiv.

A Very Brief Introduction to Quantum Computing and Quantum Information Theory for Mathematicians

J. M. Landsberg, J. Landsberg, 2018, Quantum Physics and Geometry.

On space-time coding in the presence of spatio-temporal correlation

J. M. Landsberg, Steven W. McLaughlin, Ronald W. Schafer, 2004, IEEE Transactions on Information Theory.

Towards a geometric approach to Strassen’s asymptotic rank conjecture

J. Landsberg, Fulvio Gesmundo, Emanuele Ventura, 2020, Collectanea Mathematica.

A geometric study of Strassen's asymptotic rank conjecture and its variants pdf

J. M. Landsberg, Emanuele Ventura, Austin Conner, 2018, ArXiv.

EXTERIOR DIFFERENTIAL SYSTEMS AND BILLIARDS

J. Landsberg, 2006 .

Geometric complexity theory: an introduction for geometers

J. M. Landsberg, J. Landsberg, 2013, ANNALI DELL'UNIVERSITA' DI FERRARA.

New Lower Bounds for the Rank of Matrix Multiplication pdf

J. M. Landsberg, J. Landsberg, 2012, SIAM J. Comput..

The complexity of matrix multiplication

Joseph M. Landsberg, J. Landsberg, 2011 .

Permanent v. determinant: an exponential lower bound assumingsymmetry and a potential path towards Valiant's conjecture pdf

J. M. Landsberg, Nicolas Ressayre, J. Landsberg, 2015, ArXiv.

Padded Polynomials, Their Cousins, and Geometric Complexity Theory

J. M. Landsberg, Harlan Kadish, J. Landsberg, 2012, ArXiv.

Hypersurfaces with degenerate duals and the Geometric Complexity Theory Program pdf

J. M. Landsberg, Laurent Manivel, Nicolas Ressayre, 2010, ArXiv.

Holographic algorithms without matchgates pdf

Jason Morton, J. M. Landsberg, Serguei Norine, 2009, ArXiv.

Fubini's theorem in codimension two

J. Landsberg, C. Robles, 2005, math/0509227.

Algebraic geometry and projective differential geometry, Seoul National University concentrated lecture series, 1997

J. Landsberg, 1998, math/9809184.

On the Geometry of Matrix Multiplication

J. Landsberg, 2018 .

Determinantal equations for secant varieties and the Eisenbud–Koh–Stillman conjecture

Adam J. Ginensky, J. Landsberg, J. Buczýnski, 2010, J. Lond. Math. Soc..

Minimal submanifolds of ²ⁿ⁺¹ arising from degenerate (3) orbits on the Grassmannian

J. Landsberg, 1991 .

Towards finding hay in a haystack: explicit tensors of border rank greater than 2.02m in Cm ⊗ Cm ⊗ Cm

J. M. Landsberg, Mateusz Michalek, J. Landsberg, 2019, ArXiv.

A $2n^2-log(n)-1$ lower bound for the border rank of matrix multiplication

J. Landsberg, M. Michałek, 2016, ArXiv.

NOTES I FOR MATH 666, FALL 2014

J. Landsberg, 2014 .

On an unusual conjecture of Kontsevich and variants of Castelnuovo's lemma

J. Landsberg, 1996, alg-geom/9604023.