World's Best Scientists 2026 revealed!
Joseph M. Landsberg

Joseph M. Landsberg

D-Index & Metrics

Mathematics

D-Index
36
Citations
5119
World Ranking
2656
National Ranking
1095

Research.com Recognitions

  • 2017 - Fellow of the American Mathematical Society For contributions to differential geometry, geometry of projective varieties, representation theory, and complexity theory.

Overview

Joseph M. Landsberg is affiliated with Texas A&M University in the United States. Their research primarily spans the fields of Mathematics and Computer Science, contributing substantially to several subfields including Computational Theory and Mathematics, Computational Mathematics, Algebra and Number Theory, Discrete Mathematics and Combinatorics, and Geometry and Topology.

Their work addresses a range of main topics such as Tensor decomposition and applications, Matrix Theory and Algorithms, Algebraic structures and combinatorial models, Finite Group Theory Research, Commutative Algebra and Its Applications, Advanced Topics in Algebra, and Digital Image Processing Techniques.

Landsberg's recent papers illustrate a focus on tensor theory and computational complexity. Notable publications include:

  • "Rank and border rank of Kronecker powers of tensors and Strassen's laser method" (2021) in Computational Complexity
  • "Towards a geometric approach to Strassen's asymptotic rank conjecture" (2020) in Collectanea mathematica
  • "Kronecker Powers of Tensors and Strassen's Laser Method" (2020) published by Leibniz-Zentrum für Informatik (Schloss Dagstuhl)
  • "Concise tensors of minimal border rank" (2023) in Mathematische Annalen
  • "Bad and Good News for Strassen's Laser Method: Border Rank of ₃ and Strict Submultiplicativity" (2022) in Foundations of Computational Mathematics

The frequent publication venues for their work include arXiv (Cornell University), Collectanea mathematica, Mathematische Annalen, Computational Complexity, and Leibniz-Zentrum für Informatik (Schloss Dagstuhl).

Landsberg has collaborated often with researchers such as Austin Conner, Fulvio Gesmundo, Emanuele Ventura, Han Huang, and Joachim Jelisiejew.

Their scholarly contributions also include a book published by the American Mathematical Society titled Quantum Computation and Quantum Information (2024), which has received citations within the academic community.

In recognition of their professional work, Landsberg was named a Fellow of the American Mathematical Society in 2017 for contributions encompassing differential geometry, geometry of projective varieties, representation theory, and complexity theory.

Best Publications

  • Tensors: Geometry and Applications

    J. M. Landsberg

  • Cartan for beginners

    Thomas Ivey;Joseph Landsberg

  • On the Ranks and Border Ranks of Symmetric Tensors

    J. M. Landsberg;Zach Teitler

  • On the projective geometry of rational homogeneous varieties

    Joseph M. Landsberg;Laurent Manivel

  • On the Ideals of Secant Varieties of Segre Varieties

    J. M. Landsberg;L. Manivel

  • Equations for secant varieties of Veronese and other varieties

    J. M. Landsberg;Giorgio Ottaviani

  • An Overview of Mathematical Issues Arising in the Geometric Complexity Theory Approach to $\mathbf{VP} eq\mathbf{VNP}$

    Peter Bürgisser;J. M. Landsberg;Laurent Manivel;Jerzy Weyman

  • The Projective Geometry of Freudenthal's Magic Square

    J.M Landsberg;J.M Landsberg;L Manivel;L Manivel

  • Geometry and Complexity Theory

    J. M. Landsberg

  • Ranks of tensors and a generalization of secant varieties

    Jarosław Buczyński;Jarosław Buczyński;J.M. Landsberg

  • Triality, Exceptional Lie Algebras and Deligne Dimension Formulas☆

    J.M. Landsberg;L. Manivel

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

    J. M. Landsberg

  • On the ideals and singularities of secant varieties of Segre varieties

    J. M. Landsberg;Jerzy Weyman

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

    Jarosław Buczyński;Adam Ginensky;J. M. Landsberg

  • New Lower Bounds for the Border Rank of Matrix Multiplication

    J. M. Landsberg;Giorgio Maria Ottaviani

  • Construction and classification of complex simple Lie algebras via projective geometry

    Joseph M. Landsberg;Laurent Manivel

  • The sextonions and E712

    J.M. Landsberg;L. Manivel

  • Geometry and the complexity of matrix multiplication

    J. M. Landsberg

  • A universal dimension formula for complex simple Lie algebras

    Joseph M. Landsberg;Laurent Manivel

  • Differential-geometric characterizations of complete intersections

    J. M. Landsberg

  • 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

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

    Thomas Ivey;Joseph Landsberg

  • The complexity of matrix multiplication

    J. Landsberg

Frequent Co-Authors

Jerzy Weyman
Jerzy Weyman University of Connecticut
Giorgio Ottaviani
Giorgio Ottaviani University of Florence
Stephen McLaughlin
Stephen McLaughlin Heriot-Watt University

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