Math 996 (Topics in Algebraic Combinatorics and Commutative Algebra)
Fall 2013

General Information | Final Projects | Links

General Information

Topics Covered

Final Project

The final project is to read a current research article in combinatorics, give a short talk on it (20 minutes, like an AMS special session talk) to an audience of fellow graduate students, and provide constructive criticism on another student's talk. Here are the full details. You should choose a paper to present no later than November 15.

Schedule of talks

All talks are in Snow 408.

Date/Time Presenter Paper Reviewer
Friday 12/6
3-4 PM
Alex Lazar D. Bayer and B. Sturmfels
Cellular resolutions of monomial modules
J. Reine Angew. Math. 502 (1998), 123-140
Ken Duna A. Björner and M. Wachs
On lexicographically shellable posets
Trans. Amer. Math. Soc. 277 (1983), no. 1, 323-341
Monday 12/9
9-10 AM
Nitin Aggarwal C. Irving and H. Schenck
Geometry of Wachspress surfaces
Tony Se V. Reiner and V. Welker
Linear syzygies of Stanley-Reisner ideals
Math. Scand. 89 (2001), no. 1, 117-132
Wednesday 12/11
9-10 AM
Logan Godkin R. Cori, D. Rossin and B. Salvy
Polynomial ideals for sandpiles and their Gröbner bases
Theoret. Comput. Sci. 276 (2002), no. 1-2, 1-15
Rob Bradford A. Conca
Reduction numbers and initial ideals
Proc. Amer. Math. Soc. 131 (2003), no. 4, 1015-1020
Friday 12/13
3-4 PM
Billy Sanders I. Peeva
Hyperplane arrangements and linear strands in resolutions
Trans. Amer. Math. Soc. 355 (2003), no. 2, 609-618
Zach Flores T. Becker
Standard bases in power series rings: ...
J. Symbolic Comput. 15 (1993), no. 3, 251-265


KU links

Additional resources

Here are some excellent textbooks and lecture notes that are freely available online and may be useful for this course. Get them!

Last updated Mon 12/2/13