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: 94 Publications since 1991, including 6 Books 2 Contributions as Editor Co-Authors: 50 Co-Authors with 63 Joint Publications 1,260 Co-Co-Authors all top 5 Co-Authors 33 single-authored 14 Manivel, Laurent 6 Gesmundo, Fulvio 6 Ikenmeyer, Christian 6 Weyman, Jerzy M. 4 Conner, Austin 4 Ottaviani, Giorgio Maria 4 Robles, Colleen 3 Buczyński, Jarosław 3 Hauenstein, Jonathan D. 3 Ivey, Thomas A. 3 Michałek, Mateusz 3 Ressayre, Nicolas 3 Ventura, Emanuele 2 Chiantini, Luca 2 Efremenko, Klim 2 Schenck, Hal 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 Harper, Alicia 1 Huang, Hang 1 Ilic, Bo 1 Kadish, Harlan 1 Kolář, Ivan 1 Kowalski, Oldřich 1 Kumar, Shrawan 1 Malgouyres, François 1 McLaughlin, Steven W. 1 Morton, Jason 1 Norine, Serguei 1 Qi, Yang 1 Rossi, Olga 1 Ryder, Nicholas 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 Wang, Yao 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 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 Foundations of Computational Mathematics 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 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 Mathematische Annalen 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 62 Algebraic geometry (14-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 33 Computer science (68-XX) 21 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 76 Publications have been cited 1,515 times in 914 Documents Cited by ▼ Year ▼ Tensors: geometry and applications. Zbl 1238.15013Landsberg, J. M. 270 2012 Cartan for beginners: Differential geometry via moving frames and exterior differential systems. Zbl 1105.53001Ivey, Thomas A.; Landsberg, J. M. 153 2003 On the ranks and border ranks of symmetric tensors. Zbl 1196.15024Landsberg, J. M.; Teitler, Zach 97 2010 On the projective geometry of rational homogeneous varieties. Zbl 1048.14032Landsberg, Joseph M.; Manivel, Laurent 69 2003 On the ideals of secant varieties of Segre varieties. Zbl 1068.14068Landsberg, J. M.; Manivel, L. 58 2004 Equations for secant varieties of Veronese and other varieties. Zbl 1274.14058Landsberg, J. M.; Ottaviani, Giorgio 55 2013 Ranks of tensors and a generalization of secant varieties. Zbl 1268.15024Buczyński, Jarosław; Landsberg, J. M. 43 2013 Determinantal equations for secant varieties and the Eisenbud-Koh-Stillman conjecture. Zbl 1303.14056Buczyński, Jarosław; Ginensky, Adam; Landsberg, J. M. 40 2013 The projective geometry of Freudenthal’s magic square. Zbl 1064.14053Landsberg, J. M.; Manivel, L. 36 2001 On the ideals and singularities of secant varieties of Segre varieties. Zbl 1130.14041Landsberg, J. M.; Weyman, Jerzy 36 2007 New lower bounds for the border rank of matrix multiplication. Zbl 1336.68102Landsberg, Joseph M.; Ottaviani, Giorgio 32 2015 Triality, exceptional Lie algebras and Deligne dimension formulas. Zbl 1035.17016Landsberg, J. M.; Manivel, L. 31 2002 An overview of mathematical issues arising in the geometric complexity theory approach to \(\mathbf{VP}\neq\mathbf{VNP}\). Zbl 1252.68134Bürgisser, Peter; Landsberg, J. M.; Manivel, Laurent; Weyman, Jerzy 31 2011 A universal dimension formula for complex simple Lie algebras. Zbl 1151.17003Landsberg, J. M.; Manivel, L. 27 2006 The sextonions and \(E_{7\frac12}\). Zbl 1133.17007Landsberg, J. M.; Manivel, L. 27 2006 Geometry and complexity theory. Zbl 1387.68002Landsberg, J. M. 27 2017 Construction and classification of complex simple Lie algebras via projective geometry. Zbl 1073.14551Landsberg, Joseph M.; Manivel, Laurent 26 2002 Geometry and the complexity of matrix multiplication. Zbl 1145.68054Landsberg, J. M. 23 2008 Abelian tensors. Zbl 1386.14191Landsberg, J. M.; Michałek, Mateusz 23 2017 The border rank of the multiplication of \( 2\times 2\) matrices is seven. Zbl 1088.68069Landsberg, J. M. 22 2006 Generalizations of Strassen’s equations for secant varieties of Segre varieties. Zbl 1137.14038Landsberg, J. M.; Manivel, L. 20 2008 On the third secant variety. Zbl 1325.14069Buczyński, Jarosław; Landsberg, J. M. 18 2014 On symmetric degeneracy loci, spaces of symmetric matrices of constant rank and dual varieties. Zbl 0949.14028Ilic, Bo; Landsberg, J. M. 17 1999 On the geometry of border rank decompositions for matrix multiplication and other tensors with symmetry. Zbl 1365.15034Landsberg, J. M.; Michałek, Mateusz 17 2017 Geometric complexity theory: an introduction for geometers. Zbl 1329.68128Landsberg, J. M. 17 2015 Series of Lie groups. Zbl 1165.17302Landsberg, J. M.; Manivel, L. 16 2004 On the geometry of tensor network states. Zbl 1268.81035Landsberg, Joseph M.; Qi, Yang; Ye, Ke 15 2012 Hypersurfaces with degenerate duals and the geometric complexity theory program. Zbl 1292.14033Landsberg, Joseph M.; Manivel, Laurent; Ressayre, Nicolas 15 2013 Legendrian varieties. Zbl 1136.14024Landsberg, J. M.; Manivel, L. 15 2007 Representation theory and projective geometry. Zbl 1145.14316Landsberg, Joseph M.; Manivel, Laurent 14 2004 Padded polynomials, their cousins, and geometric complexity theory. Zbl 1323.14032Kadish, Harlan; Landsberg, J. M. 14 2014 New lower bounds for the rank of matrix multiplication. Zbl 1298.68100Landsberg, J. M. 14 2014 Cartan for beginners. Differential geometry via moving frames and exterior differential systems. 2nd edition. Zbl 1361.53001Ivey, Thomas A.; Landsberg, Joseph M. 13 2016 Equations for lower bounds on border rank. Zbl 1361.68098Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, J. M. 12 2013 Holographic algorithms without matchgates. Zbl 1257.05007Landsberg, J. M.; Morton, Jason; Norine, Serguei 10 2013 On second fundamental forms of projective varieties. Zbl 0840.14025Landsberg, J. M. 9 1994 On degenerate secant and tangential varieties and local differential geometry. Zbl 0879.14025Landsberg, J. M. 9 1996 Differential-geometric characterizations of complete intersections. Zbl 0873.53007Landsberg, J. M. 9 1996 Is a linear space contained in a submanifold? On the number of derivatives needed to tell. Zbl 1067.14514Landsberg, J. M. 7 1999 On tangential varieties of rational homogeneous varieties. Zbl 1127.14045Landsberg, J. M.; Weyman, Jerzy 7 2007 On secant varieties of compact Hermitian symmetric spaces. Zbl 1179.14035Landsberg, J. M.; Weyman, Jerzy 6 2009 Polynomials and the exponent of matrix multiplication. Zbl 1404.15020Chiantini, Luca; Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, Joseph M.; Ottaviani, Giorgio 6 2018 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 1314.15017Landsberg, J. M. 5 2015 The geometry of rank decompositions of matrix multiplication. I: \(2\times 2\) matrices. Zbl 1428.15023Chiantini, Luca; Ikenmeyer, Christian; Landsberg, J. M.; Ottaviani, Giorgio 5 2019 Tensors: asymptotic geometry and developments 2016–2018. Zbl 1419.15003Landsberg, J. M. 5 2019 Exterior differential systems and billiards. Zbl 1105.58003Landsberg, Joseph M. 5 2006 Permanent v. determinant: an exponential lower bound assuming symmetry and a potential path towards Valiant’s conjecture. Zbl 1380.68202Landsberg, J. M.; Ressayre, Nicolas 5 2017 Griffiths-Harris rigidity of compact Hermitian symmetric spaces. Zbl 1107.53036Landsberg, J. M. 4 2006 On the infinitesimal rigidity of homogeneous varieties. Zbl 0981.53039Landsberg, J. M. 4 1999 Lines and osculating lines of hypersurfaces. Zbl 1221.14058Landsberg, J. M.; Robles, C. 4 2010 Fubini-Griffiths-Harris rigidity and Lie algebra cohomology. Zbl 1285.53033Landsberg, Joseph M.; Robles, Colleen 4 2012 An introduction to geometric complexity theory. Zbl 1358.68108Landsberg, J. M. 4 2016 Connections between conjectures of Alon-Tarsi, Hadamard-Howe, and integrals over the special unitary group. Zbl 1309.05036Kumar, Shrawan; Landsberg, J. M. 4 2015 On the complexity of the permanent in various computational models. Zbl 1379.68367Ikenmeyer, Christian; Landsberg, J. M. 4 2017 Complexity of linear circuits and geometry. Zbl 1345.68157Gesmundo, Fulvio; Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, J. M. 4 2016 Matrix product states and the quantum max-flow/min-cut conjectures. Zbl 1402.82017Gesmundo, Fulvio; Landsberg, J. M.; Walter, Michael 4 2018 The method of shifted partial derivatives cannot separate the permanent from the determinant. Zbl 1393.68058Efremenko, 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 1393.68059Efremenko, Klim; Landsberg, J. M.; Schenck, Hal; Weyman, Jerzy 4 2018 A \(2\mathbf{n}^2-\log_2(\mathbf{n})-1\) lower bound for the border rank of matrix multiplication. Zbl 1431.15003Landsberg, Joseph M.; Michałek, Mateusz 4 2018 Rank and border rank of Kronecker powers of tensors and Strassen’s laser method. Zbl 1493.14088Conner, Austin; Gesmundo, Fulvio; Landsberg, Joseph M.; Ventura, Emanuele 4 2022 On the Debarre-de Jong and Beheshti-Starr conjectures on hypersurfaces with too many lines. Zbl 1209.14035Landsberg, Joseph; Tommasi, Orsola 3 2010 Fubini’s theorem in codimension two. Zbl 1178.53052Landsberg, J. M.; Robles, Colleen 3 2009 An explicit description of the irreducible components of the set of matrix pencils with bounded normal rank. Zbl 1359.15006De Terán, Fernando; Dopico, Froilán M.; Landsberg, J. M. 3 2017 Multilinear compressive sensing and an application to convolutional linear networks. Zbl 1513.68053Malgouyres, François; Landsberg, Joseph 3 2019 The geometry of rank decompositions of matrix multiplication. II: \(3 \times 3\) matrices. Zbl 1444.15012Ballard, Grey; Ikenmeyer, Christian; Landsberg, J. M.; Ryder, Nick 3 2019 \(P\) versus \(NP\) and geometry. Zbl 1208.68129Landsberg, J. M. 2 2010 Lines on projective varieties. Zbl 1041.51011Landsberg, J. M. 2 2003 On the geometry of border rank algorithms for \(n \times 2\) by \(2 \times 2\) matrix multiplication. Zbl 1409.68333Landsberg, J. M.; Ryder, Nicholas 2 2017 Kronecker powers of tensors and Strassen’s laser method. Zbl 07650358Conner, Austin; Landsberg, Joseph M.; Gesmundo, Fulvio; Ventura, Emanuele 2 2020 Explicit polynomial sequences with maximal spaces of partial derivatives and a question of K. Mulmuley. Zbl 1477.68113Gesmundo, Fulvio; Landsberg, Joseph M. 2 2019 Towards a geometric approach to Strassen’s asymptotic rank conjecture. Zbl 1456.14067Conner, Austin; Gesmundo, Fulvio; Landsberg, Joseph M.; Ventura, Emanuele; Wang, Yao 2 2021 Series of nilpotent orbits. Zbl 1108.14037Landsberg, J. M.; Manivel, Laurent; Westbury, Bruce W. 1 2004 On a conjecture of Kontsevich and variants of Castelnuovo’s lemma. Zbl 0949.15031Landsberg, J. M. 1 1999 Fubini-Griffiths-Harris rigidity of homogeneous varieties. Zbl 1312.14120Landsberg, Joseph M.; Robles, Colleen 1 2013 New lower bounds for matrix multiplication and \(\operatorname{det}_3\). Zbl 1518.68137Conner, Austin; Harper, Alicia; Landsberg, J. M. 1 2023 Editorial. Zbl 1378.00117 1 2017 New lower bounds for matrix multiplication and \(\operatorname{det}_3\). Zbl 1518.68137Conner, Austin; Harper, Alicia; Landsberg, J. M. 1 2023 Rank and border rank of Kronecker powers of tensors and Strassen’s laser method. Zbl 1493.14088Conner, Austin; Gesmundo, Fulvio; Landsberg, Joseph M.; Ventura, Emanuele 4 2022 Towards a geometric approach to Strassen’s asymptotic rank conjecture. Zbl 1456.14067Conner, Austin; Gesmundo, Fulvio; Landsberg, Joseph M.; Ventura, Emanuele; Wang, Yao 2 2021 Kronecker powers of tensors and Strassen’s laser method. Zbl 07650358Conner, Austin; Landsberg, Joseph M.; Gesmundo, Fulvio; Ventura, Emanuele 2 2020 The geometry of rank decompositions of matrix multiplication. I: \(2\times 2\) matrices. Zbl 1428.15023Chiantini, Luca; Ikenmeyer, Christian; Landsberg, J. M.; Ottaviani, Giorgio 5 2019 Tensors: asymptotic geometry and developments 2016–2018. Zbl 1419.15003Landsberg, J. M. 5 2019 Multilinear compressive sensing and an application to convolutional linear networks. Zbl 1513.68053Malgouyres, François; Landsberg, Joseph 3 2019 The geometry of rank decompositions of matrix multiplication. II: \(3 \times 3\) matrices. Zbl 1444.15012Ballard, Grey; Ikenmeyer, Christian; Landsberg, J. M.; Ryder, Nick 3 2019 Explicit polynomial sequences with maximal spaces of partial derivatives and a question of K. Mulmuley. Zbl 1477.68113Gesmundo, Fulvio; Landsberg, Joseph M. 2 2019 Polynomials and the exponent of matrix multiplication. Zbl 1404.15020Chiantini, Luca; Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, Joseph M.; Ottaviani, Giorgio 6 2018 Matrix product states and the quantum max-flow/min-cut conjectures. Zbl 1402.82017Gesmundo, Fulvio; Landsberg, J. M.; Walter, Michael 4 2018 The method of shifted partial derivatives cannot separate the permanent from the determinant. Zbl 1393.68058Efremenko, 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 1393.68059Efremenko, Klim; Landsberg, J. M.; Schenck, Hal; Weyman, Jerzy 4 2018 A \(2\mathbf{n}^2-\log_2(\mathbf{n})-1\) lower bound for the border rank of matrix multiplication. Zbl 1431.15003Landsberg, Joseph M.; Michałek, Mateusz 4 2018 Geometry and complexity theory. Zbl 1387.68002Landsberg, J. M. 27 2017 Abelian tensors. Zbl 1386.14191Landsberg, J. M.; Michałek, Mateusz 23 2017 On the geometry of border rank decompositions for matrix multiplication and other tensors with symmetry. Zbl 1365.15034Landsberg, J. M.; Michałek, Mateusz 17 2017 Permanent v. determinant: an exponential lower bound assuming symmetry and a potential path towards Valiant’s conjecture. Zbl 1380.68202Landsberg, J. M.; Ressayre, Nicolas 5 2017 On the complexity of the permanent in various computational models. Zbl 1379.68367Ikenmeyer, Christian; Landsberg, J. M. 4 2017 An explicit description of the irreducible components of the set of matrix pencils with bounded normal rank. Zbl 1359.15006De Terán, Fernando; Dopico, Froilán M.; Landsberg, J. M. 3 2017 On the geometry of border rank algorithms for \(n \times 2\) by \(2 \times 2\) matrix multiplication. Zbl 1409.68333Landsberg, 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 1361.53001Ivey, Thomas A.; Landsberg, Joseph M. 13 2016 An introduction to geometric complexity theory. Zbl 1358.68108Landsberg, J. M. 4 2016 Complexity of linear circuits and geometry. Zbl 1345.68157Gesmundo, Fulvio; Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, J. M. 4 2016 New lower bounds for the border rank of matrix multiplication. Zbl 1336.68102Landsberg, Joseph M.; Ottaviani, Giorgio 32 2015 Geometric complexity theory: an introduction for geometers. Zbl 1329.68128Landsberg, J. M. 17 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 1314.15017Landsberg, J. M. 5 2015 Connections between conjectures of Alon-Tarsi, Hadamard-Howe, and integrals over the special unitary group. Zbl 1309.05036Kumar, Shrawan; Landsberg, J. M. 4 2015 On the third secant variety. Zbl 1325.14069Buczyński, Jarosław; Landsberg, J. M. 18 2014 Padded polynomials, their cousins, and geometric complexity theory. Zbl 1323.14032Kadish, Harlan; Landsberg, J. M. 14 2014 New lower bounds for the rank of matrix multiplication. Zbl 1298.68100Landsberg, J. M. 14 2014 Equations for secant varieties of Veronese and other varieties. Zbl 1274.14058Landsberg, J. M.; Ottaviani, Giorgio 55 2013 Ranks of tensors and a generalization of secant varieties. Zbl 1268.15024Buczyński, Jarosław; Landsberg, J. M. 43 2013 Determinantal equations for secant varieties and the Eisenbud-Koh-Stillman conjecture. Zbl 1303.14056Buczyński, Jarosław; Ginensky, Adam; Landsberg, J. M. 40 2013 Hypersurfaces with degenerate duals and the geometric complexity theory program. Zbl 1292.14033Landsberg, Joseph M.; Manivel, Laurent; Ressayre, Nicolas 15 2013 Equations for lower bounds on border rank. Zbl 1361.68098Hauenstein, Jonathan D.; Ikenmeyer, Christian; Landsberg, J. M. 12 2013 Holographic algorithms without matchgates. Zbl 1257.05007Landsberg, J. M.; Morton, Jason; Norine, Serguei 10 2013 Fubini-Griffiths-Harris rigidity of homogeneous varieties. Zbl 1312.14120Landsberg, Joseph M.; Robles, Colleen 1 2013 Tensors: geometry and applications. Zbl 1238.15013Landsberg, J. M. 270 2012 On the geometry of tensor network states. Zbl 1268.81035Landsberg, Joseph M.; Qi, Yang; Ye, Ke 15 2012 Fubini-Griffiths-Harris rigidity and Lie algebra cohomology. Zbl 1285.53033Landsberg, 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 1252.68134Bürgisser, Peter; Landsberg, J. M.; Manivel, Laurent; Weyman, Jerzy 31 2011 On the ranks and border ranks of symmetric tensors. Zbl 1196.15024Landsberg, J. M.; Teitler, Zach 97 2010 Lines and osculating lines of hypersurfaces. Zbl 1221.14058Landsberg, J. M.; Robles, C. 4 2010 On the Debarre-de Jong and Beheshti-Starr conjectures on hypersurfaces with too many lines. Zbl 1209.14035Landsberg, Joseph; Tommasi, Orsola 3 2010 \(P\) versus \(NP\) and geometry. Zbl 1208.68129Landsberg, J. M. 2 2010 On secant varieties of compact Hermitian symmetric spaces. Zbl 1179.14035Landsberg, J. M.; Weyman, Jerzy 6 2009 Fubini’s theorem in codimension two. Zbl 1178.53052Landsberg, J. M.; Robles, Colleen 3 2009 Geometry and the complexity of matrix multiplication. Zbl 1145.68054Landsberg, J. M. 23 2008 Generalizations of Strassen’s equations for secant varieties of Segre varieties. Zbl 1137.14038Landsberg, J. M.; Manivel, L. 20 2008 On the ideals and singularities of secant varieties of Segre varieties. Zbl 1130.14041Landsberg, J. M.; Weyman, Jerzy 36 2007 Legendrian varieties. Zbl 1136.14024Landsberg, J. M.; Manivel, L. 15 2007 On tangential varieties of rational homogeneous varieties. Zbl 1127.14045Landsberg, J. M.; Weyman, Jerzy 7 2007 A universal dimension formula for complex simple Lie algebras. Zbl 1151.17003Landsberg, J. M.; Manivel, L. 27 2006 The sextonions and \(E_{7\frac12}\). Zbl 1133.17007Landsberg, J. M.; Manivel, L. 27 2006 The border rank of the multiplication of \( 2\times 2\) matrices is seven. Zbl 1088.68069Landsberg, J. M. 22 2006 Exterior differential systems and billiards. Zbl 1105.58003Landsberg, Joseph M. 5 2006 Griffiths-Harris rigidity of compact Hermitian symmetric spaces. Zbl 1107.53036Landsberg, J. M. 4 2006 On the ideals of secant varieties of Segre varieties. Zbl 1068.14068Landsberg, J. M.; Manivel, L. 58 2004 Series of Lie groups. Zbl 1165.17302Landsberg, J. M.; Manivel, L. 16 2004 Representation theory and projective geometry. Zbl 1145.14316Landsberg, Joseph M.; Manivel, Laurent 14 2004 Series of nilpotent orbits. Zbl 1108.14037Landsberg, J. M.; Manivel, Laurent; Westbury, Bruce W. 1 2004 Cartan for beginners: Differential geometry via moving frames and exterior differential systems. Zbl 1105.53001Ivey, Thomas A.; Landsberg, J. M. 153 2003 On the projective geometry of rational homogeneous varieties. Zbl 1048.14032Landsberg, Joseph M.; Manivel, Laurent 69 2003 Lines on projective varieties. Zbl 1041.51011Landsberg, J. M. 2 2003 Triality, exceptional Lie algebras and Deligne dimension formulas. Zbl 1035.17016Landsberg, J. M.; Manivel, L. 31 2002 Construction and classification of complex simple Lie algebras via projective geometry. Zbl 1073.14551Landsberg, Joseph M.; Manivel, Laurent 26 2002 The projective geometry of Freudenthal’s magic square. Zbl 1064.14053Landsberg, J. M.; Manivel, L. 36 2001 On symmetric degeneracy loci, spaces of symmetric matrices of constant rank and dual varieties. Zbl 0949.14028Ilic, Bo; Landsberg, J. M. 17 1999 Is a linear space contained in a submanifold? On the number of derivatives needed to tell. Zbl 1067.14514Landsberg, J. M. 7 1999 On the infinitesimal rigidity of homogeneous varieties. Zbl 0981.53039Landsberg, J. M. 4 1999 On a conjecture of Kontsevich and variants of Castelnuovo’s lemma. Zbl 0949.15031Landsberg, J. M. 1 1999 On degenerate secant and tangential varieties and local differential geometry. Zbl 0879.14025Landsberg, J. M. 9 1996 Differential-geometric characterizations of complete intersections. Zbl 0873.53007Landsberg, J. M. 9 1996 On second fundamental forms of projective varieties. Zbl 0840.14025Landsberg, J. M. 9 1994 all cited Publications top 5 cited Publications all top 5 Cited by 1,022 Authors 53 Ballico, Edoardo 41 Landsberg, Joseph Montague 26 Bernardi, Alessandra 24 Manivel, Laurent 22 Ikenmeyer, Christian 19 Michałek, Mateusz 16 Chiantini, Luca 14 Gesmundo, Fulvio 14 Mkrtchyan, Ruben L. 13 Buczyński, Jarosław 13 Christandl, Matthias 13 Hu, ShengLong 13 Massarenti, Alex 12 Ottaviani, Giorgio Maria 12 Vannieuwenhoven, Nick 11 Ivey, Thomas A. 11 Oeding, Luke 10 Catalisano, Maria Virginia 10 Teitler, Zach 10 Ventura, Emanuele 10 Zuiddam, Jeroen 9 Draisma, Jan 9 Oneto, Alessandro 8 Carlini, Enrico 8 Clelland, Jeanne Nielsen 8 Hwang, Jun-Muk 8 Lim, Lek-Heng 8 Sturmfels, Bernd 7 Blekherman, Grigoriy 7 Geramita, Anthony Vito 7 Holweck, Frédéric 7 Jelisiejew, Joachim 7 Mourrain, Bernard 7 Occhetta, Gianluca 7 Solá-Conde, Luis-Eduardo 6 Breiding, Paul 6 Bürgisser, Peter 6 De Lathauwer, Lieven 6 Derksen, Harm 6 Friedland, Shmuel 6 Gimigliano, Alessandro 6 Mezzetti, Emilia 6 Nie, Jiawang 6 Panova, Greta 6 Robles, Colleen 6 Schneider, Reinhold 5 Abo, Hirotachi 5 Angelini, Elena 5 Avetisyan, M. Y. 5 Bocci, Cristiano 5 Comon, Pierre 5 Elduque, Alberto 5 Hackbusch, Wolfgang 5 Hauenstein, Jonathan D. 5 Makam, Visu 5 Marrani, Alessio 5 Qi, Yang 5 Seigal, Anna Leah 5 Vassiliou, Peter John 5 Walter, Michael 4 Boralevi, Ada 4 Brambilla, Maria Chiara 4 Buczyńska, Weronika 4 Galuppi, Francesco 4 Grochow, Joshua A. 4 Hong, Jaehyun 4 Huang, Zheng-Hai 4 Ishikawa, Goo 4 Kuznetsov, Aleksandr Gennad’evich 4 Li, QiFeng 4 Mella, Massimiliano 4 Mulmuley, Ketan D. 4 Raicu, Claudiu 4 Rischter, Rick 4 Russo, Francesco 4 Sam, Steven V. 4 Seynnaeve, Tim 4 Shibuya, Kazuhiro 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 Weyman, Jerzy M. 4 Wiśńiewski, Jarosław Antoni 3 Allman, Elizabeth S. 3 Araujo, Carolina 3 Bayrakdar, Tuna 3 Beheshti, Roya 3 Bertolini, Marina 3 Chiu, Hung-Lin 3 Conner, Austin 3 De Paris, Alessandro 3 de Terán, Fernando 3 Diaz, Steven P. 3 Dopico, Froilán M. 3 Faenzi, Daniele ...and 922 more Authors all top 5 Cited in 224 Serials 59 Linear Algebra and its Applications 41 Journal of Algebra 27 Journal of Pure and Applied Algebra 25 Advances in Mathematics 24 SIAM Journal on Matrix Analysis and Applications 20 Journal of Symbolic Computation 19 Differential Geometry and its Applications 18 Journal of High Energy Physics 17 Linear and Multilinear Algebra 16 Mathematische Annalen 15 Foundations of Computational Mathematics 15 SIAM Journal on Applied Algebra and Geometry 12 Communications in Algebra 12 Journal of Mathematical Physics 12 Journal of Geometry and Physics 12 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Duke Mathematical Journal 9 Geometriae Dedicata 9 Transactions of the American Mathematical Society 9 The Journal of Geometric Analysis 8 Mathematische Zeitschrift 8 Proceedings of the American Mathematical Society 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8 European Journal of Mathematics 7 Collectanea Mathematica 7 Computational Complexity 7 Experimental Mathematics 7 Journal of Algebraic Geometry 6 Journal für die Reine und Angewandte Mathematik 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Bollettino dell’Unione Matematica Italiana 5 Letters in Mathematical Physics 5 Annales de l’Institut Fourier 5 Journal of Computational and Applied Mathematics 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 SIAM Journal on Computing 5 Acta Applicandae Mathematicae 5 Revista Matemática Iberoamericana 5 Journal of the American Mathematical Society 5 International Journal of Mathematics 5 The Electronic Journal of Combinatorics 5 Selecta Mathematica. New Series 5 Transformation Groups 5 Vietnam Journal of Mathematics 5 Communications in Contemporary Mathematics 5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 5 Journal of Physics A: Mathematical and Theoretical 5 Journal of Commutative Algebra 4 Discrete Mathematics 4 Mathematics of Computation 4 Manuscripta Mathematica 4 Le Matematiche 4 Michigan Mathematical Journal 4 Numerische Mathematik 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 Journal of Mathematical Sciences (New York) 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 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 Theoretical and Mathematical Physics 3 Beiträge zur Algebra und Geometrie 3 Archiv der Mathematik 3 Compositio Mathematica 3 Illinois Journal of Mathematics 3 Mathematische Nachrichten 3 Nagoya Mathematical Journal 3 Discrete & Computational Geometry 3 Applied and Computational Harmonic Analysis 3 Quantum Information Processing 3 Acta Numerica 3 Arabian Journal of Mathematics 3 Forum of Mathematics, Sigma 3 Mathematics 2 Archive for Rational Mechanics and Analysis 2 Journal of Mathematical Analysis and Applications 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Nuclear Physics. B 2 Acta Mathematica Vietnamica 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 Results in Mathematics 2 Topology and its Applications 2 Bulletin of the Korean Mathematical Society 2 Note di Matematica 2 Annals of Global Analysis and Geometry 2 Journal of Complexity 2 Constructive Approximation 2 SIAM Journal on Optimization 2 Journal of Nonlinear Science 2 Computational Optimization and Applications ...and 124 more Serials all top 5 Cited in 52 Fields 445 Algebraic geometry (14-XX) 297 Linear and multilinear algebra; matrix theory (15-XX) 147 Computer science (68-XX) 111 Differential geometry (53-XX) 105 Commutative algebra (13-XX) 93 Numerical analysis (65-XX) 61 Nonassociative rings and algebras (17-XX) 58 Global analysis, analysis on manifolds (58-XX) 55 Combinatorics (05-XX) 54 Quantum theory (81-XX) 53 Group theory and generalizations (20-XX) 45 Several complex variables and analytic spaces (32-XX) 35 Number theory (11-XX) 27 Partial differential equations (35-XX) 25 Geometry (51-XX) 25 Operations research, mathematical programming (90-XX) 22 Dynamical systems and ergodic theory (37-XX) 22 Statistics (62-XX) 21 Topological groups, Lie groups (22-XX) 18 Associative rings and algebras (16-XX) 16 Convex and discrete geometry (52-XX) 16 Manifolds and cell complexes (57-XX) 15 Probability theory and stochastic processes (60-XX) 12 Field theory and polynomials (12-XX) 12 Ordinary differential equations (34-XX) 11 Approximations and expansions (41-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Information and communication theory, circuits (94-XX) 9 Relativity and gravitational theory (83-XX) 9 Biology and other natural sciences (92-XX) 7 Mathematical logic and foundations (03-XX) 7 Operator theory (47-XX) 6 Category theory; homological algebra (18-XX) 6 Functional analysis (46-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 \(K\)-theory (19-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 General topology (54-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Mathematics education (97-XX) Citations by Year