Bruce Sagan's Slides
These slides are ordered alphabetically by title.
If you have trouble downloading any of these slides
and wish a hard copy, then please email me at
sagan@math.msu.edu

Of antipodes and involutions, of cabbages and kings
pdf

Two binomial coefficient analogues,
pdf

Bogotá lectures: Partially Ordered Sets and their Möbius Functions,
 The Möbius Inversion Theorem
 Graph coloring
 Topology of posets
 Factoring the characteristic polynomial
 Exercises
 References

Combinatorial and colorful proofs of cyclic sieving phenomena,
pdf

Combinatorial interpretations of Lucas analogues
pdf

Congruences for combinatorial sequences,
dvi,
ps,
pdf.

Counting permutations by congruence class of major index,
pdf.

The cyclic sieving phenomenon  an introduction,
Korean lecture (pdf),
BCC lecture (pdf).

Descent and peak polynomials,
pdf

Discrete Morse Theory and generalized factor order,
pdf

Distance preserving graphs,
pdf.

Distance regular graphs and unimodality,
dvi,
ps,
pdf.

Factoring the characteristic polynomial,
pdf.

Factoring rook polynomials,
pdf.

The fractal nature of the Fibonomial triangle,
pdf.

Graph coloring and symmetric functions in noncommuting varibles,
dvi,
ps,
pdf.

The incidence algebra of a composition poset,
pdf.

Increasing spanning forests,
pdf.

Infinite logconcavity,
pdf.

The kconsecutive arrangements,
ps,
pdf.

Kalamazoo lectures.
 Factoring rook polynomials
 Permutation patterns and statistics
 Introduction to Möbius inversion over posets

Layered permutations and rational generating functions,
pdf.

Longest increasing subsequences and log concavity,
pdf

Mahonian pairs,
pdf

Maximal independent sets in graphs with at most r cycles,
dvi,
ps,
pdf

The Möbius functions of generalized subword order,
pdf.

Möbius functions for embedding orders,
dvi,
ps,
pdf.

Möbius functions, an introduction (Winnipeg lecture 1),
dvi,
ps,
pdf;
Möbius functions of lattices (Winnipeg lecture 2),
dvi,
ps,
pdf.

Möbius functions of posets (Lisbon lectures).
 Lecture I: Introduction to partially ordered
sets
 Lecture II: Möbius inversion
 Lecture III: Topology of posets
 Lecture IV: Why the characteristic polynomial factors
 Lecture V: GCD matrices

Monomial bases for NBC complexes,
dvi,
ps,
pdf.

Monotonic sequence games,
pdf.

Open problems for Catalan number analogues,
pdf.

Pattern avoidance and quasisymmetric functions,
pdf.

Patternavoiding polytopes and Bruhat orders,
I pdf, II pdf.

Patterns in set partitions,
dvi,
ps,
pdf.

Patterns and statistics,
pdf.

Permutation patterns and statistics,
pdf.

Probabilistic proofs of hooklength formulas,
pdf.

The protean chromatic polynomial,
pdf.

Rationality, irrationality, and Wilf equivalence in generalized factor order,
pdf.

Representations and symmetric functions (MSRI lectures),
dvi,
ps,
pdf.

Stalking the wild Fibonomial,
pdf.

Symmetric functions in noncommuting variables,
dvi,
ps,
pdf.

Topological properties of active orders for matroid,
dvi,
ps,
pdf.