Office: Milner 329
Phone: (979)-458- 0625
E-mail: jml@math.tamu.edu
TAMU math dept homepage
Office hours: , Tues 1-2pm or by appointment.
Fall 2009: on faculty development leave
Survey articlesI organize and co-organize:My CV (last updated 1/09)
Working seminar in geometry meeting Tuesdays, Milner 317, 2-3:30pm.
Geometry seminar, meeting Fridays 4-5pm Milner 216.
Joint geometry-string theory seminar, meeting monthly Fridays 4-5pm Milner 216
Working seminar for post-docs and graduate students meeting Thursdays, Milner 317,
2-3:30pm
Everyone is welcome to the seminars, graduate students
are particularly encouraged to attend.
TAMU seminar calendar
My 2009-10 travel plans
May 1-3, 2009 I co-organed (with P. Lima-Filho, L. Matusevich, M. Rojas and F. Sottile) the
2009 Texas Algebraic Geometry Seminar (TAGS)
I co-organized 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
Nov. 12-14 2010 I am co-organizing (with J. Pitts) the fall 2010 Texas Geometry and Topology Conference at Texas A&M
RECENT PAPERS/PREPRINTS
P versus NP and geometry Ranks of tensors and a generalization of secant varieties (with J. Buczynski) An overview of mathematical issues arising in the Geometric complexity theory approach to VP \neq VNP (with P. Buergisser, L. Manivel and J. Weyman) Holographic algorithms without matchgates (with Jason Morton and Serguei Norine) Kruskal's theorem (to appear in book, "Geometry of Tensors") On the ranks and border ranks of symmetric tensors (with Z. Teitler, to appear FOCM) Maple file to be read with billards article below (also click here for text version) On the Debarre-deJong and Beheshti-Starr conjectures on varieties with too many lines (with O. Tommasi, to appear Mich. Math J.) Lines on hypersurfaces (with C. Robles) On secant varieties of compact Hermitian symmetric spaces (with J. Weyman, J. Pure Appl. Alg. 2009) Fubini's theorem in codimension two (with C. Robles, Crelle 2009) Fubini-Griffiths-Harris rigidity and Lie algebra cohomology (with C. Robles)
Geometry and the complexity of matrix multiplication (survey article, Bull. AMS 2008) Generalizations of Strassen's equations for secant varieties of Segre varieties (with L. Manivel, Comm. Algebra 2008)
On tangential varieties of rational homogeneous varieties (with J. Weyman, Jour. LMS 2007) On the ideals and singularities of secant varieties of Segre varieties (with J. Weyman, Bull. LMS 2007) Legendrian varieties (with L. Manivel, Asian J. Math 2007)
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.)
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 papersMy student Luke Oeding finished his PhD May 2009, his paper on Defining equations of the variety
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