= J. M. Landsberg
{c}
{title2=Joseph Landsberg}
<J. M. Landsberg> works in <algebraic geometry>, <differential geometry> and their connections to <computational complexity theory>. His author page uses the name Joseph (JM) Landsberg and describes research on geometric questions arising from <theoretical computer science>.https://people.tamu.edu/~jml/[Author identity, Research and books]{ref}
A central connection is to encode a <bilinear map>, such as <matrix multiplication>, by a <tensor>. Decomposing that tensor into <pure tensors> expresses a bilinear algorithm using scalar multiplications; <tensor rank> and <border rank> then distinguish exact decompositions from limiting ones. His work and books develop the geometry of these problems. His supplementary <algebraic geometry> notes introduce joins and <secant varieties>, which organize sums of points geometrically.<Algebraic Geometry Fall 2024 Supplementary Notes and Exercises 9 3 24 by J. M. Landsberg>[section 6]{ref} His Texas A&M profile lists algebraic and differential geometry among his research interests.https://artsci.tamu.edu/mathematics/contact/profiles/joseph-landsberg.html[Research Interests]{ref}
\Image[https://artsci.tamu.edu/mathematics/_files/_images/_profile-images/landsberg-j-225x300.png]
{title=Joseph Landsberg, Texas A&M faculty portrait}
{height=240}
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