Edit Profile (opens in new tab) Landsberg, Joseph Montague Co-Author Distance Author ID: landsberg.joseph-m Published as: Landsberg, J. M.; Landsberg, Joseph M.; Landsberg, Joseph more...less External Links: MGP · dblp Documents Indexed: 116 Publications since 1991, including 6 Books and 20 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 55 Co-Authors with 76 Joint Publications 1,567 Co-Co-Authors all top 5 Co-Authors 42 single-authored 15 Manivel, Laurent 7 Conner, Austin 7 Gesmundo, Fulvio 6 Ikenmeyer, Christian 6 Ottaviani, Giorgio Maria 6 Weyman, Jerzy M. 5 Robles, Colleen 4 Michałek, Mateusz 4 Ventura, Emanuele 3 Buczyński, Jarosław 3 Hauenstein, Jonathan D. 3 Huang, Hang 3 Ivey, Thomas A. 3 Ressayre, Nicolas 2 Chiantini, Luca 2 Efremenko, Klim 2 Harper, Alicia 2 Ryder, Nicholas 2 Schenck, Hal 1 Akivis, Maks A. 1 Allums, Derek J. 1 Ballard, Grey M. 1 Bürgisser, Peter 1 Čap, Andreas 1 de Terán, Fernando 1 Dopico, Froilán M. 1 Fozunbal, Majid 1 Geng, Runshi 1 Ginensky, Adam 1 Goldberg, Vladislav V. 1 Ilic, Bo 1 Jelisiejew, Joachim 1 Kadish, Harlan 1 Kolář, Ivan 1 Kowalski, Oldřich 1 Kumar, Shrawan 1 Lu, Jianfeng 1 Malgouyres, François 1 McLaughlin, Steven W. 1 Morton, Jason 1 Norine, Serguei 1 Pal, Arpan 1 Piontkowski, Jens 1 Qi, Yang 1 Rossi, Olga 1 Ryder, Nick R. 1 Schafer, Ronald W. 1 Shen, Zhongmin 1 Slovák, Jan 1 Teitler, Zach 1 Tommasi, Orsola Paola Maria 1 Vinogradov, Aleksandr Mikhaĭlovich 1 Walter, Michael 1 Westbury, Bruce W. 1 Ye, Ke all top 5 Serials 4 Journal of Pure and Applied Algebra 4 Differential Geometry and its Applications 4 Experimental Mathematics 4 Foundations of Computational Mathematics 3 Advances in Mathematics 3 Compositio Mathematica 3 Journal of Differential Geometry 3 Journal of the London Mathematical Society. Second Series 3 Journal für die Reine und Angewandte Mathematik 3 Linear Algebra and its Applications 3 Graduate Studies in Mathematics 2 Communications in Algebra 2 Bulletin of the London Mathematical Society 2 Commentarii Mathematici Helvetici 2 Duke Mathematical Journal 2 Journal of Algebra 2 Mathematische Annalen 2 Michigan Mathematical Journal 2 SIAM Journal on Computing 2 IMRN. International Mathematics Research Notices 2 The Asian Journal of Mathematics 2 Theory of Computing 1 Discrete Mathematics 1 IEEE Transactions on Information Theory 1 Journal of Mathematical Physics 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archivum Mathematicum 1 Collectanea Mathematica 1 Inventiones Mathematicae 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Transactions of the American Mathematical Society 1 Journal of Symbolic Computation 1 Journal of the American Mathematical Society 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Computational Complexity 1 Journal of Algebraic Combinatorics 1 Selecta Mathematica. New Series 1 European Mathematical Society Newsletter 1 Communications in Mathematical Sciences 1 Cambridge Studies in Advanced Mathematics 1 Lecture Notes Series, Seoul 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Algebra & Number Theory 1 Involve 1 Quantum Information & Computation 1 Forum of Mathematics, Pi 1 CBMS Regional Conference Series in Mathematics 1 SIAM Journal on Applied Algebra and Geometry 1 SIAM Journal on Mathematics of Data Science all top 5 Fields 72 Algebraic geometry (14-XX) 44 Linear and multilinear algebra; matrix theory (15-XX) 42 Computer science (68-XX) 24 Differential geometry (53-XX) 10 Nonassociative rings and algebras (17-XX) 7 Commutative algebra (13-XX) 7 Group theory and generalizations (20-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Quantum theory (81-XX) 3 Topological groups, Lie groups (22-XX) 3 Partial differential equations (35-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 81 Publications have been cited 1,633 times in 985 Documents Cited by ▼ Year ▼ Tensors: geometry and applications. Zbl 1238.15013 Landsberg, J. M. 296 2012 Cartan for beginners: Differential geometry via moving frames and exterior differential systems. Zbl 1105.53001 Ivey, Thomas A.; Landsberg, J. M. 164 2003 On the ranks and border ranks of symmetric tensors. Zbl 1196.15024 Landsberg, J. M.; Teitler, Zach 99 2010 On the projective geometry of rational homogeneous varieties. Zbl 1048.14032 Landsberg, Joseph M.; Manivel, Laurent 74 2003 On the ideals of secant varieties of Segre varieties. Zbl 1068.14068 Landsberg, J. M.; Manivel, L. 60 2004 Equations for secant varieties of Veronese and other varieties. Zbl 1274.14058 Landsberg, J. M.; Ottaviani, Giorgio 58 2013 Ranks of tensors and a generalization of secant varieties. Zbl 1268.15024 Buczyński, Jarosław; Landsberg, J. M. 46 2013 Determinantal equations for secant varieties and the Eisenbud-Koh-Stillman conjecture. Zbl 1303.14056 Buczyński, Jarosław; Ginensky, Adam; Landsberg, J. M. 40 2013 The projective geometry of Freudenthal’s magic square. Zbl 1064.14053 Landsberg, J. M.; Manivel, L. 38 2001 On the ideals and singularities of secant varieties of Segre varieties. Zbl 1130.14041 Landsberg, J. M.; Weyman, Jerzy 37 2007 Geometry and complexity theory. Zbl 1387.68002 Landsberg, J. M. 37 2017 New lower bounds for the border rank of matrix multiplication. Zbl 1336.68102 Landsberg, Joseph M.; Ottaviani, Giorgio 35 2015 Triality, exceptional Lie algebras and Deligne dimension formulas. Zbl 1035.17016 Landsberg, J. M.; Manivel, L. 33 2002 An overview of mathematical issues arising in the geometric complexity theory approach to \(\mathbf{VP}\neq\mathbf{VNP}\). Zbl 1252.68134 Bürgisser, Peter; Landsberg, J. M.; Manivel, Laurent; Weyman, Jerzy 32 2011 The sextonions and \(E_{7\frac12}\). Zbl 1133.17007 Landsberg, J. M.; Manivel, L. 30 2006 Abelian tensors. Zbl 1386.14191 Landsberg, J. M.; Michałek, Mateusz 29 2017 A universal dimension formula for complex simple Lie algebras. Zbl 1151.17003 Landsberg, J. M.; Manivel, L. 28 2006 Construction and classification of complex simple Lie algebras via projective geometry. Zbl 1073.14551 Landsberg, Joseph M.; Manivel, Laurent 26 2002 Geometry and the complexity of matrix multiplication. Zbl 1145.68054 Landsberg, J. M. 23 2008 The border rank of the multiplication of \( 2\times 2\) matrices is seven. Zbl 1088.68069 Landsberg, J. M. 23 2006 Generalizations of Strassen’s equations for secant varieties of Segre varieties. Zbl 1137.14038 Landsberg, J. M.; Manivel, L. 22 2008 On the third secant variety. Zbl 1325.14069 Buczyński, Jarosław; Landsberg, J. M. 22 2014 On the geometry of border rank decompositions for matrix multiplication and other tensors with symmetry. Zbl 1365.15034 Landsberg, J. M.; Michałek, Mateusz 19 2017 On symmetric degeneracy loci, spaces of symmetric matrices of constant rank and dual varieties. Zbl 0949.14028 Ilic, Bo; Landsberg, J. M. 18 1999 Series of Lie groups. Zbl 1165.17302 Landsberg, J. M.; Manivel, L. 18 2004 Geometric complexity theory: an introduction for geometers. Zbl 1329.68128 Landsberg, J. M. 17 2015 Legendrian varieties. Zbl 1136.14024 Landsberg, J. M.; Manivel, L. 16 2007 On the geometry of tensor network states. Zbl 1268.81035 Landsberg, Joseph M.; Qi, Yang; Ye, Ke 16 2012 Cartan for beginners. Differential geometry via moving frames and exterior differential systems. 2nd edition. Zbl 1361.53001 Ivey, Thomas A.; Landsberg, Joseph M. 16 2016 Representation theory and projective geometry. Zbl 1145.14316 Landsberg, Joseph M.; Manivel, Laurent 15 2004 Hypersurfaces with degenerate duals and the geometric complexity theory program. Zbl 1292.14033 Landsberg, Joseph M.; Manivel, Laurent; Ressayre, Nicolas 15 2013 New lower bounds for the rank of matrix multiplication. Zbl 1298.68100 Landsberg, J. M. 14 2014 Padded polynomials, their cousins, and geometric complexity theory. Zbl 1323.14032 Kadish, Harlan; Landsberg, J. M. 14 2014 Equations for lower bounds on border rank. Zbl 1361.68098 Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, J. M. 12 2013 Holographic algorithms without matchgates. Zbl 1257.05007 Landsberg, J. M.; Morton, Jason; Norine, Serguei 10 2013 On degenerate secant and tangential varieties and local differential geometry. Zbl 0879.14025 Landsberg, J. M. 9 1996 Differential-geometric characterizations of complete intersections. Zbl 0873.53007 Landsberg, J. M. 9 1996 On second fundamental forms of projective varieties. Zbl 0840.14025 Landsberg, J. M. 9 1994 On tangential varieties of rational homogeneous varieties. Zbl 1127.14045 Landsberg, J. M.; Weyman, Jerzy 8 2007 Is a linear space contained in a submanifold? On the number of derivatives needed to tell. Zbl 1067.14514 Landsberg, J. M. 7 1999 Rank and border rank of Kronecker powers of tensors and Strassen’s laser method. Zbl 1493.14088 Conner, Austin; Gesmundo, Fulvio; Landsberg, Joseph M.; Ventura, Emanuele 7 2022 Polynomials and the exponent of matrix multiplication. Zbl 1404.15020 Chiantini, Luca; Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, Joseph M.; Ottaviani, Giorgio 7 2018 On secant varieties of compact Hermitian symmetric spaces. Zbl 1179.14035 Landsberg, J. M.; Weyman, Jerzy 6 2009 A \(2\mathbf{n}^2-\log_2(\mathbf{n})-1\) lower bound for the border rank of matrix multiplication. Zbl 1431.15003 Landsberg, Joseph M.; Michałek, Mateusz 6 2018 Exterior differential systems and billiards. Zbl 1105.58003 Landsberg, Joseph M. 5 2006 Permanent v. determinant: an exponential lower bound assuming symmetry and a potential path towards Valiant’s conjecture. Zbl 1380.68202 Landsberg, J. M.; Ressayre, Nicolas 5 2017 Connections between conjectures of Alon-Tarsi, Hadamard-Howe, and integrals over the special unitary group. Zbl 1309.05036 Kumar, Shrawan; Landsberg, J. M. 5 2015 Nontriviality of equations and explicit tensors in \(\mathbb{C}^m \otimes \mathbb{C}^m \otimes \mathbb{C}^m\) of border rank at least \(2m - 2\). Zbl 1314.15017 Landsberg, J. M. 5 2015 Multilinear compressive sensing and an application to convolutional linear networks. Zbl 1513.68053 Malgouyres, François; Landsberg, Joseph 5 2019 The geometry of rank decompositions of matrix multiplication. I: \(2\times 2\) matrices. Zbl 1428.15023 Chiantini, Luca; Ikenmeyer, Christian; Landsberg, J. M.; Ottaviani, Giorgio 5 2019 Tensors: asymptotic geometry and developments 2016–2018. Zbl 1419.15003 Landsberg, J. M. 5 2019 On the infinitesimal rigidity of homogeneous varieties. Zbl 0981.53039 Landsberg, J. M. 4 1999 The method of shifted partial derivatives cannot separate the permanent from the determinant. Zbl 1393.68058 Efremenko, Klim; Landsberg, J. M.; Schenck, Hal; Weyman, Jerzy 4 2018 Griffiths-Harris rigidity of compact Hermitian symmetric spaces. Zbl 1107.53036 Landsberg, J. M. 4 2006 On the complexity of the permanent in various computational models. Zbl 1379.68367 Ikenmeyer, Christian; Landsberg, J. M. 4 2017 An explicit description of the irreducible components of the set of matrix pencils with bounded normal rank. Zbl 1359.15006 De Terán, Fernando; Dopico, Froilán M.; Landsberg, J. M. 4 2017 Complexity of linear circuits and geometry. Zbl 1345.68157 Gesmundo, Fulvio; Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, J. M. 4 2016 An introduction to geometric complexity theory. Zbl 1358.68108 Landsberg, J. M. 4 2016 The geometry of rank decompositions of matrix multiplication. II: \(3 \times 3\) matrices. Zbl 1444.15012 Ballard, Grey; Ikenmeyer, Christian; Landsberg, J. M.; Ryder, Nick 4 2019 Lines and osculating lines of hypersurfaces. Zbl 1221.14058 Landsberg, J. M.; Robles, C. 4 2010 Fubini-Griffiths-Harris rigidity and Lie algebra cohomology. Zbl 1285.53033 Landsberg, Joseph M.; Robles, Colleen 4 2012 On minimal free resolutions of sub-permanents and other ideals arising in complexity theory. Zbl 1393.68059 Efremenko, Klim; Landsberg, J. M.; Schenck, Hal; Weyman, Jerzy 4 2018 Matrix product states and the quantum max-flow/min-cut conjectures. Zbl 1402.82017 Gesmundo, Fulvio; Landsberg, J. M.; Walter, Michael 4 2018 On the Debarre-de Jong and Beheshti-Starr conjectures on hypersurfaces with too many lines. Zbl 1209.14035 Landsberg, Joseph; Tommasi, Orsola 3 2010 Fubini’s theorem in codimension two. Zbl 1178.53052 Landsberg, J. M.; Robles, Colleen 3 2009 Algebraic geometry and projective differential geometry. Zbl 1012.14015 Landsberg, J. M. 3 1999 Lines on projective varieties. Zbl 1041.51011 Landsberg, J. M. 2 2003 On the geometry of border rank algorithms for \(n \times 2\) by \(2 \times 2\) matrix multiplication. Zbl 1409.68333 Landsberg, J. M.; Ryder, Nicholas 2 2017 Towards a geometric approach to Strassen’s asymptotic rank conjecture. Zbl 1456.14067 Conner, Austin; Gesmundo, Fulvio; Landsberg, Joseph M.; Ventura, Emanuele; Wang, Yao 2 2021 Explicit polynomial sequences with maximal spaces of partial derivatives and a question of K. Mulmuley. Zbl 1477.68113 Gesmundo, Fulvio; Landsberg, Joseph M. 2 2019 \(P\) versus \(NP\) and geometry. Zbl 1208.68129 Landsberg, J. M. 2 2010 Kronecker powers of tensors and Strassen’s laser method. Zbl 07650358 Conner, Austin; Landsberg, Joseph M.; Gesmundo, Fulvio; Ventura, Emanuele 2 2020 Minimal submanifolds defined by first order systems of PDE. Zbl 0782.53057 Landsberg, J. M. 1 1992 On a conjecture of Kontsevich and variants of Castelnuovo’s lemma. Zbl 0949.15031 Landsberg, J. M. 1 1999 Series of nilpotent orbits. Zbl 1108.14037 Landsberg, J. M.; Manivel, Laurent; Westbury, Bruce W. 1 2004 Editorial. Zbl 1378.00117 1 2017 Fubini-Griffiths-Harris rigidity of homogeneous varieties. Zbl 1312.14120 Landsberg, Joseph M.; Robles, Colleen 1 2013 Geometry of backflow transformation ansatze for quantum many-body fermionic wavefunctions. Zbl 1524.81119 Huang, Hang; Landsberg, Joseph M.; Lu, Jianfeng 1 2023 Algebraic geometry and representation theory in the study of matrix multiplication complexity and other problems in theoretical computer science. Zbl 1492.14084 Landsberg, J. M. 1 2022 On the geometry of geometric rank. Zbl 1498.14134 Geng, Runshi; Landsberg, Joseph M. 1 2022 New lower bounds for matrix multiplication and \(\operatorname{det}_3\). Zbl 1518.68137 Conner, Austin; Harper, Alicia; Landsberg, J. M. 1 2023 Geometry of backflow transformation ansatze for quantum many-body fermionic wavefunctions. Zbl 1524.81119 Huang, Hang; Landsberg, Joseph M.; Lu, Jianfeng 1 2023 New lower bounds for matrix multiplication and \(\operatorname{det}_3\). Zbl 1518.68137 Conner, Austin; Harper, Alicia; Landsberg, J. M. 1 2023 Rank and border rank of Kronecker powers of tensors and Strassen’s laser method. Zbl 1493.14088 Conner, Austin; Gesmundo, Fulvio; Landsberg, Joseph M.; Ventura, Emanuele 7 2022 Algebraic geometry and representation theory in the study of matrix multiplication complexity and other problems in theoretical computer science. Zbl 1492.14084 Landsberg, J. M. 1 2022 On the geometry of geometric rank. Zbl 1498.14134 Geng, Runshi; Landsberg, Joseph M. 1 2022 Towards a geometric approach to Strassen’s asymptotic rank conjecture. Zbl 1456.14067 Conner, Austin; Gesmundo, Fulvio; Landsberg, Joseph M.; Ventura, Emanuele; Wang, Yao 2 2021 Kronecker powers of tensors and Strassen’s laser method. Zbl 07650358 Conner, Austin; Landsberg, Joseph M.; Gesmundo, Fulvio; Ventura, Emanuele 2 2020 Multilinear compressive sensing and an application to convolutional linear networks. Zbl 1513.68053 Malgouyres, François; Landsberg, Joseph 5 2019 The geometry of rank decompositions of matrix multiplication. I: \(2\times 2\) matrices. Zbl 1428.15023 Chiantini, Luca; Ikenmeyer, Christian; Landsberg, J. M.; Ottaviani, Giorgio 5 2019 Tensors: asymptotic geometry and developments 2016–2018. Zbl 1419.15003 Landsberg, J. M. 5 2019 The geometry of rank decompositions of matrix multiplication. II: \(3 \times 3\) matrices. Zbl 1444.15012 Ballard, Grey; Ikenmeyer, Christian; Landsberg, J. M.; Ryder, Nick 4 2019 Explicit polynomial sequences with maximal spaces of partial derivatives and a question of K. Mulmuley. Zbl 1477.68113 Gesmundo, Fulvio; Landsberg, Joseph M. 2 2019 Polynomials and the exponent of matrix multiplication. Zbl 1404.15020 Chiantini, Luca; Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, Joseph M.; Ottaviani, Giorgio 7 2018 A \(2\mathbf{n}^2-\log_2(\mathbf{n})-1\) lower bound for the border rank of matrix multiplication. Zbl 1431.15003 Landsberg, Joseph M.; Michałek, Mateusz 6 2018 The method of shifted partial derivatives cannot separate the permanent from the determinant. Zbl 1393.68058 Efremenko, Klim; Landsberg, J. M.; Schenck, Hal; Weyman, Jerzy 4 2018 On minimal free resolutions of sub-permanents and other ideals arising in complexity theory. Zbl 1393.68059 Efremenko, Klim; Landsberg, J. M.; Schenck, Hal; Weyman, Jerzy 4 2018 Matrix product states and the quantum max-flow/min-cut conjectures. Zbl 1402.82017 Gesmundo, Fulvio; Landsberg, J. M.; Walter, Michael 4 2018 Geometry and complexity theory. Zbl 1387.68002 Landsberg, J. M. 37 2017 Abelian tensors. Zbl 1386.14191 Landsberg, J. M.; Michałek, Mateusz 29 2017 On the geometry of border rank decompositions for matrix multiplication and other tensors with symmetry. Zbl 1365.15034 Landsberg, J. M.; Michałek, Mateusz 19 2017 Permanent v. determinant: an exponential lower bound assuming symmetry and a potential path towards Valiant’s conjecture. Zbl 1380.68202 Landsberg, J. M.; Ressayre, Nicolas 5 2017 On the complexity of the permanent in various computational models. Zbl 1379.68367 Ikenmeyer, Christian; Landsberg, J. M. 4 2017 An explicit description of the irreducible components of the set of matrix pencils with bounded normal rank. Zbl 1359.15006 De Terán, Fernando; Dopico, Froilán M.; Landsberg, J. M. 4 2017 On the geometry of border rank algorithms for \(n \times 2\) by \(2 \times 2\) matrix multiplication. Zbl 1409.68333 Landsberg, J. M.; Ryder, Nicholas 2 2017 Editorial. Zbl 1378.00117 1 2017 Cartan for beginners. Differential geometry via moving frames and exterior differential systems. 2nd edition. Zbl 1361.53001 Ivey, Thomas A.; Landsberg, Joseph M. 16 2016 Complexity of linear circuits and geometry. Zbl 1345.68157 Gesmundo, Fulvio; Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, J. M. 4 2016 An introduction to geometric complexity theory. Zbl 1358.68108 Landsberg, J. M. 4 2016 New lower bounds for the border rank of matrix multiplication. Zbl 1336.68102 Landsberg, Joseph M.; Ottaviani, Giorgio 35 2015 Geometric complexity theory: an introduction for geometers. Zbl 1329.68128 Landsberg, J. M. 17 2015 Connections between conjectures of Alon-Tarsi, Hadamard-Howe, and integrals over the special unitary group. Zbl 1309.05036 Kumar, Shrawan; Landsberg, J. M. 5 2015 Nontriviality of equations and explicit tensors in \(\mathbb{C}^m \otimes \mathbb{C}^m \otimes \mathbb{C}^m\) of border rank at least \(2m - 2\). Zbl 1314.15017 Landsberg, J. M. 5 2015 On the third secant variety. Zbl 1325.14069 Buczyński, Jarosław; Landsberg, J. M. 22 2014 New lower bounds for the rank of matrix multiplication. Zbl 1298.68100 Landsberg, J. M. 14 2014 Padded polynomials, their cousins, and geometric complexity theory. Zbl 1323.14032 Kadish, Harlan; Landsberg, J. M. 14 2014 Equations for secant varieties of Veronese and other varieties. Zbl 1274.14058 Landsberg, J. M.; Ottaviani, Giorgio 58 2013 Ranks of tensors and a generalization of secant varieties. Zbl 1268.15024 Buczyński, Jarosław; Landsberg, J. M. 46 2013 Determinantal equations for secant varieties and the Eisenbud-Koh-Stillman conjecture. Zbl 1303.14056 Buczyński, Jarosław; Ginensky, Adam; Landsberg, J. M. 40 2013 Hypersurfaces with degenerate duals and the geometric complexity theory program. Zbl 1292.14033 Landsberg, Joseph M.; Manivel, Laurent; Ressayre, Nicolas 15 2013 Equations for lower bounds on border rank. Zbl 1361.68098 Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, J. M. 12 2013 Holographic algorithms without matchgates. Zbl 1257.05007 Landsberg, J. M.; Morton, Jason; Norine, Serguei 10 2013 Fubini-Griffiths-Harris rigidity of homogeneous varieties. Zbl 1312.14120 Landsberg, Joseph M.; Robles, Colleen 1 2013 Tensors: geometry and applications. Zbl 1238.15013 Landsberg, J. M. 296 2012 On the geometry of tensor network states. Zbl 1268.81035 Landsberg, Joseph M.; Qi, Yang; Ye, Ke 16 2012 Fubini-Griffiths-Harris rigidity and Lie algebra cohomology. Zbl 1285.53033 Landsberg, Joseph M.; Robles, Colleen 4 2012 An overview of mathematical issues arising in the geometric complexity theory approach to \(\mathbf{VP}\neq\mathbf{VNP}\). Zbl 1252.68134 Bürgisser, Peter; Landsberg, J. M.; Manivel, Laurent; Weyman, Jerzy 32 2011 On the ranks and border ranks of symmetric tensors. Zbl 1196.15024 Landsberg, J. M.; Teitler, Zach 99 2010 Lines and osculating lines of hypersurfaces. Zbl 1221.14058 Landsberg, J. M.; Robles, C. 4 2010 On the Debarre-de Jong and Beheshti-Starr conjectures on hypersurfaces with too many lines. Zbl 1209.14035 Landsberg, Joseph; Tommasi, Orsola 3 2010 \(P\) versus \(NP\) and geometry. Zbl 1208.68129 Landsberg, J. M. 2 2010 On secant varieties of compact Hermitian symmetric spaces. Zbl 1179.14035 Landsberg, J. M.; Weyman, Jerzy 6 2009 Fubini’s theorem in codimension two. Zbl 1178.53052 Landsberg, J. M.; Robles, Colleen 3 2009 Geometry and the complexity of matrix multiplication. Zbl 1145.68054 Landsberg, J. M. 23 2008 Generalizations of Strassen’s equations for secant varieties of Segre varieties. Zbl 1137.14038 Landsberg, J. M.; Manivel, L. 22 2008 On the ideals and singularities of secant varieties of Segre varieties. Zbl 1130.14041 Landsberg, J. M.; Weyman, Jerzy 37 2007 Legendrian varieties. Zbl 1136.14024 Landsberg, J. M.; Manivel, L. 16 2007 On tangential varieties of rational homogeneous varieties. Zbl 1127.14045 Landsberg, J. M.; Weyman, Jerzy 8 2007 The sextonions and \(E_{7\frac12}\). Zbl 1133.17007 Landsberg, J. M.; Manivel, L. 30 2006 A universal dimension formula for complex simple Lie algebras. Zbl 1151.17003 Landsberg, J. M.; Manivel, L. 28 2006 The border rank of the multiplication of \( 2\times 2\) matrices is seven. Zbl 1088.68069 Landsberg, J. M. 23 2006 Exterior differential systems and billiards. Zbl 1105.58003 Landsberg, Joseph M. 5 2006 Griffiths-Harris rigidity of compact Hermitian symmetric spaces. Zbl 1107.53036 Landsberg, J. M. 4 2006 On the ideals of secant varieties of Segre varieties. Zbl 1068.14068 Landsberg, J. M.; Manivel, L. 60 2004 Series of Lie groups. Zbl 1165.17302 Landsberg, J. M.; Manivel, L. 18 2004 Representation theory and projective geometry. Zbl 1145.14316 Landsberg, Joseph M.; Manivel, Laurent 15 2004 Series of nilpotent orbits. Zbl 1108.14037 Landsberg, J. M.; Manivel, Laurent; Westbury, Bruce W. 1 2004 Cartan for beginners: Differential geometry via moving frames and exterior differential systems. Zbl 1105.53001 Ivey, Thomas A.; Landsberg, J. M. 164 2003 On the projective geometry of rational homogeneous varieties. Zbl 1048.14032 Landsberg, Joseph M.; Manivel, Laurent 74 2003 Lines on projective varieties. Zbl 1041.51011 Landsberg, J. M. 2 2003 Triality, exceptional Lie algebras and Deligne dimension formulas. Zbl 1035.17016 Landsberg, J. M.; Manivel, L. 33 2002 Construction and classification of complex simple Lie algebras via projective geometry. Zbl 1073.14551 Landsberg, Joseph M.; Manivel, Laurent 26 2002 The projective geometry of Freudenthal’s magic square. Zbl 1064.14053 Landsberg, J. M.; Manivel, L. 38 2001 On symmetric degeneracy loci, spaces of symmetric matrices of constant rank and dual varieties. Zbl 0949.14028 Ilic, Bo; Landsberg, J. M. 18 1999 Is a linear space contained in a submanifold? On the number of derivatives needed to tell. Zbl 1067.14514 Landsberg, J. M. 7 1999 On the infinitesimal rigidity of homogeneous varieties. Zbl 0981.53039 Landsberg, J. M. 4 1999 Algebraic geometry and projective differential geometry. Zbl 1012.14015 Landsberg, J. M. 3 1999 On a conjecture of Kontsevich and variants of Castelnuovo’s lemma. Zbl 0949.15031 Landsberg, J. M. 1 1999 On degenerate secant and tangential varieties and local differential geometry. Zbl 0879.14025 Landsberg, J. M. 9 1996 Differential-geometric characterizations of complete intersections. Zbl 0873.53007 Landsberg, J. M. 9 1996 On second fundamental forms of projective varieties. Zbl 0840.14025 Landsberg, J. M. 9 1994 Minimal submanifolds defined by first order systems of PDE. Zbl 0782.53057 Landsberg, J. M. 1 1992 all cited Publications top 5 cited Publications all top 5 Cited by 1,084 Authors 58 Ballico, Edoardo 44 Landsberg, Joseph Montague 26 Bernardi, Alessandra 25 Manivel, Laurent 22 Ikenmeyer, Christian 19 Michałek, Mateusz 17 Chiantini, Luca 15 Gesmundo, Fulvio 14 Christandl, Matthias 14 Hu, ShengLong 14 Mkrtchyan, Ruben L. 14 Vannieuwenhoven, Nick 13 Buczyński, Jarosław 13 Massarenti, Alex 13 Ottaviani, Giorgio Maria 12 Oeding, Luke 11 Ivey, Thomas A. 11 Zuiddam, Jeroen 10 Catalisano, Maria Virginia 10 Draisma, Jan 10 Teitler, Zach 10 Ventura, Emanuele 9 Breiding, Paul 9 Hwang, Jun-Muk 9 Oneto, Alessandro 8 Carlini, Enrico 8 Clelland, Jeanne Nielsen 8 Holweck, Frédéric 8 Jelisiejew, Joachim 8 Lim, Lek-Heng 8 Nie, Jiawang 8 Solá-Conde, Luis-Eduardo 8 Sturmfels, Bernd 7 Blekherman, Grigoriy 7 Geramita, Anthony Vito 7 Mezzetti, Emilia 7 Mourrain, Bernard 7 Occhetta, Gianluca 6 Bürgisser, Peter 6 De Lathauwer, Lieven 6 Derksen, Harm 6 Elduque, Alberto 6 Friedland, Shmuel 6 Gimigliano, Alessandro 6 Hackbusch, Wolfgang 6 Marrani, Alessio 6 Panova, Greta 6 Robles, Colleen 6 Schneider, Reinhold 5 Abo, Hirotachi 5 Angelini, Elena 5 Avetisyan, M. Y. 5 Bocci, Cristiano 5 Boralevi, Ada 5 Comon, Pierre 5 Galuppi, Francesco 5 Hauenstein, Jonathan D. 5 Kuznetsov, Aleksandr Gennad’evich 5 Li, QiFeng 5 Makam, Visu 5 Qi, Yang 5 Seigal, Anna Leah 5 Seynnaeve, Tim 5 Shibuya, Kazuhiro 5 Vassiliou, Peter John 5 Walter, Michael 5 Weyman, Jerzy M. 4 Bayrakdar, Tuna 4 Brambilla, Maria Chiara 4 Buczyńska, Weronika 4 Conner, Austin 4 de Terán, Fernando 4 Dopico, Froilán M. 4 Fu, Baohua 4 Grochow, Joshua A. 4 Hong, Jaehyun 4 Huang, Zheng-Hai 4 Ishikawa, Goo 4 Lőrincz, András Cristian 4 Mella, Massimiliano 4 Mulmuley, Ketan D. 4 Raicu, Claudiu 4 Rischter, Rick 4 Russo, Francesco 4 Sam, Steven V. 4 Shitov, Yaroslav Nikolaevich 4 Staglianò, Giovanni 4 Tabachnikov, Serge L. 4 Tsigaridas, Elias P. 4 Turner, Jacob M. 4 Veselov, Alexander Petrovich 4 Vrana, Péter 4 Wang, Jie 4 Watanabe, Kiwamu 4 Wiśńiewski, Jarosław Antoni 4 Yang, Zi 4 Ye, Ke 3 Allman, Elizabeth S. 3 Araujo, Carolina 3 Beheshti, Roya ...and 984 more Authors all top 5 Cited in 239 Serials 59 Linear Algebra and its Applications 41 Journal of Algebra 28 Journal of Pure and Applied Algebra 26 Advances in Mathematics 26 SIAM Journal on Matrix Analysis and Applications 21 Linear and Multilinear Algebra 20 Journal of Symbolic Computation 19 Differential Geometry and its Applications 19 Journal of High Energy Physics 17 Mathematische Annalen 17 Foundations of Computational Mathematics 16 SIAM Journal on Applied Algebra and Geometry 15 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Communications in Algebra 13 Journal of Mathematical Physics 13 Journal of Geometry and Physics 10 Geometriae Dedicata 9 Collectanea Mathematica 9 Duke Mathematical Journal 9 Transactions of the American Mathematical Society 9 The Journal of Geometric Analysis 9 European Journal of Mathematics 8 Mathematische Zeitschrift 8 Proceedings of the American Mathematical Society 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Computational Complexity 7 Experimental Mathematics 7 Journal of Algebraic Geometry 6 Letters in Mathematical Physics 6 Annales de l’Institut Fourier 6 Journal für die Reine und Angewandte Mathematik 6 Michigan Mathematical Journal 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 SIAM Journal on Computing 6 Revista Matemática Iberoamericana 6 Journal of Mathematical Sciences (New York) 6 Selecta Mathematica. New Series 6 Transformation Groups 6 Vietnam Journal of Mathematics 6 Journal of Commutative Algebra 6 Bollettino dell’Unione Matematica Italiana 5 Journal of Computational and Applied Mathematics 5 Acta Applicandae Mathematicae 5 Journal of the American Mathematical Society 5 International Journal of Mathematics 5 The Electronic Journal of Combinatorics 5 Communications in Contemporary Mathematics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 5 Journal of Physics A: Mathematical and Theoretical 4 Discrete Mathematics 4 Mathematics of Computation 4 Beiträge zur Algebra und Geometrie 4 Manuscripta Mathematica 4 Le Matematiche 4 Numerische Mathematik 4 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 4 Theoretical Computer Science 4 Tôhoku Mathematical Journal. Second Series 4 Advances in Applied Mathematics 4 International Journal of Algebra and Computation 4 Bulletin of the American Mathematical Society. New Series 4 Journal of Algebraic Combinatorics 4 Quantum Information Processing 4 Journal of Algebra and its Applications 4 Mediterranean Journal of Mathematics 4 Algebra & Number Theory 4 Science China. Mathematics 3 Communications in Mathematical Physics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Theoretical and Mathematical Physics 3 Archiv der Mathematik 3 Compositio Mathematica 3 Illinois Journal of Mathematics 3 Mathematische Nachrichten 3 Nagoya Mathematical Journal 3 Discrete & Computational Geometry 3 SIAM Journal on Scientific Computing 3 Applied and Computational Harmonic Analysis 3 Acta Numerica 3 Frontiers of Mathematics in China 3 Arabian Journal of Mathematics 3 Forum of Mathematics, Sigma 3 Mathematics 3 Algebraic Combinatorics 2 Archive for Rational Mechanics and Analysis 2 Journal of Mathematical Analysis and Applications 2 Nuclear Physics. B 2 Acta Mathematica Vietnamica 2 American Journal of Mathematics 2 Inventiones Mathematicae 2 Journal of the London Mathematical Society. Second Series 2 Journal of the Mathematical Society of Japan 2 Journal of Optimization Theory and Applications 2 Proceedings of the London Mathematical Society. Third Series 2 Results in Mathematics 2 Tokyo Journal of Mathematics 2 Topology and its Applications 2 Bulletin of the Korean Mathematical Society ...and 139 more Serials all top 5 Cited in 54 Fields 483 Algebraic geometry (14-XX) 325 Linear and multilinear algebra; matrix theory (15-XX) 154 Computer science (68-XX) 122 Differential geometry (53-XX) 113 Commutative algebra (13-XX) 100 Numerical analysis (65-XX) 65 Nonassociative rings and algebras (17-XX) 63 Global analysis, analysis on manifolds (58-XX) 62 Quantum theory (81-XX) 58 Combinatorics (05-XX) 54 Group theory and generalizations (20-XX) 48 Several complex variables and analytic spaces (32-XX) 36 Number theory (11-XX) 29 Partial differential equations (35-XX) 29 Operations research, mathematical programming (90-XX) 28 Geometry (51-XX) 23 Dynamical systems and ergodic theory (37-XX) 23 Statistics (62-XX) 22 Topological groups, Lie groups (22-XX) 18 Associative rings and algebras (16-XX) 17 Convex and discrete geometry (52-XX) 16 Manifolds and cell complexes (57-XX) 15 Probability theory and stochastic processes (60-XX) 13 Ordinary differential equations (34-XX) 12 Field theory and polynomials (12-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Approximations and expansions (41-XX) 11 Information and communication theory, circuits (94-XX) 9 Relativity and gravitational theory (83-XX) 9 Biology and other natural sciences (92-XX) 8 Functional analysis (46-XX) 7 Mathematical logic and foundations (03-XX) 7 Category theory; homological algebra (18-XX) 7 Operator theory (47-XX) 6 Systems theory; control (93-XX) 5 Mechanics of deformable solids (74-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 History and biography (01-XX) 4 Functions of a complex variable (30-XX) 4 Special functions (33-XX) 4 Difference and functional equations (39-XX) 4 Algebraic topology (55-XX) 4 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 \(K\)-theory (19-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 General topology (54-XX) 2 Optics, electromagnetic theory (78-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General algebraic systems (08-XX) 1 Real functions (26-XX) 1 Fluid mechanics (76-XX) 1 Mathematics education (97-XX) Citations by Year