Instructor:  Victor Reiner (You can call me "Vic"). 
Office: Vincent Hall 256 Telephone (with voice mail): 6256682 Email: reiner@math.umn.edu 

Classes:  MonWedFri 1:252:15pm, Vincent Hall 211. 
Office hours:  To be determined, and by appointment. 
Course content: 
This is a continuation of Math 8668, taught by Prof. Dennis White in Fall 2009.
The general theme is to study extra structure
on basic combinatorial objects,
beyond enumerating them. We will pursue the
following topics, in roughly the order listed below.

Prerequisites:  Abstract algebra (groups, rings, modules, fields), and either Math 8668 or some combinatorics experience. 
Main text(s) 
R.P. Stanley,
Enumerative combinatorics, Vols. I and II, Cambridge University Press. We will be doing, among other things, 
Other useful sources 
General J.H. Van Lint and R. Wilson, A course in combinatorics D. Stanton and D. White, Constructive combinatorics Posets, lattice and matroid theory M. Aigner, Combinatorial theory J. Oxley, Matroid theory Some lectures on matroids from a 2005 summer school in Vienna Symmetric group, symmetric functions, representations, etc. B. E. Sagan, The symmetric group: its representations, combinatorial algorithms, and symmetric functions. I.G. Macdonald, Symmetric functions and Hall polynomials. W. Fulton, Young tableaux W. Fulton and J. Harris, Representation theory: a first course 
Course requirements and grading 
There will be 3 or 4 homeworks during the semester.
Grades will be based both on the quality and quantity of homework turned in.
I encourage collaboration on the homework, as long as each person understands the solutions, writes them up in their own words, and indicates on the homework page with whom they have collaborated. Since homework problems that come from the volumes by Stanley have some solutions in the book, students must explain them more fully on their homework. 
Assignment  Due date  Problems 

HW #1  Friday, Feb. 26  HW 1 in PDF 
HW #2  Friday, April 9  HW 2 in PDF 
HW #3  Friday, May 7  HW 3 in PDF 