Joseph (JM) Landsberg, professor of mathematics

Office: Milner 329
Phone: (979)-458- 0625
E-mail: jml@math.tamu.edu
TAMU math dept homepage

Office hours: Mon. 10-11am, Tues 1-2pm,   or by appointment.

Teaching Spring 2008: Math 622 Differential geometry I, MWF 1:50-2:40 CE 223

Teaching Fall 2007: Math 666: Complex differential geometry

Education

Research Interests:  Algebraic geometry, differential geometry, Exterior differential systems, Homogeneous varieties. (Click on research interests to read more.)

 

I organize and co-organize:

Working seminar in geometry meeting Tuesdays, Milner 216, 3-4:30pm.

Geometry seminar, meeting Fridays 4-5pm Milner 216.

Joint geometry-string theory seminar, meeting monthly Fridays 4-5pm Milner 216

Working seminar for graduate students meeting Thursdays, Milner 216,
3-4:30pm (starting Jan. 2008)

Everyone is welcome to the seminars, graduate students
are particularly encouraged to attend.
TAMU seminar calendar
My CV (last updated 1/08)

 My 2007-8 travel plans
I co-organized (with J. Pitts)  the fall TGTC, the weekend of Oct. 21 2007
I am co-organizing a workshop at AIM Geometry and representation theory of tensors for computer science, statistics and other areas July 21 to July 25, 2008 and a summer graduate workshop at MSRI, July 7-20, 2008 Geometry and Representation Theory of Tensors for Computer Science, Statistics, and other areas

RECENT PAPERS/PREPRINTS

  • Lines on hypersurfaces (with C. Robles
  • On secant varieties of compact Hermitian symmetric spaces (with J. Weyman)
  • Fubini-Griffiths-Harris rigidity and Lie algebra cohomology (with C. Robles)
  • Geometry and the complexity of matrix multiplication (survey article to appear in Bull. AMS)
  • On the ideals and singularities of secant varieties of Segre varieties (with J. Weyman,  Bull. LMS 2007)
  • Generalizations of Strassen's equations for secant varieties of Segre varieties (with L. Manivel, to appear in Comm. Algebra)
  • On tangential varieties of rational homogeneous varieties (with J. Weyman, Jour. LMS 2007)
  • Fubini's theorem in codimension two (with C. Robles, to appear in Crelle)
  • Legendrian varieties (with L. Manivel, Asian J. Math)
  • The border rank of the multiplication of two by two matrices is seven (JAMS 19(2006) p447-459)
  • The sextonions and E_{7 1/2} (with L. Manivel)  (Advances in Math 201(2006) p143-179)
  • A universal dimension formula for complex simple Lie algebras (with L.Manivel) (Advances in Math 201(2006) p379-407)
  • Griffiths-Harris rigidity of compact Hermitian symmetric spaces (JDG 74(2006) p 395-405.)
    • Survey articles
  • Exterior differential systems, Lie algebra cohomology, and the rigidity of homogeneous varieties (2008)
  • Differential geometry of submanifolds of projective space (2006)
  • Exterior differential systems and billiards (2006)
  • Representation theory and projective geometry  (with L. Manivel), 2004

    • Available upon request: Computational complexity and algebraic statistics via geometry and representation theory,
    a rough draft of a book with Jason Morton.
    math reviews of all published papers
    My student Frederic Holweck defended his thesis in fall 04 on dual varieties, simple singularities and simple Lie algebras
    Here is a summary of his results in English


    Shameless advertisement:

    Cartan For Beginners: Differential geometry via moving frames and exterior differential systems 

    By Thomas A. Ivey and J.M. Landsberg 

    A second year graduate text (378  pages)   published by the AMS in the Graduate Studies in Mathematics series
     . To see the table of contents, preface, and selected pages click here
    To order the book from the AMS, click here.
    to see corrections to text, click here
     
      New to the area? Here are some Brazos  Valley links
     

    Various links