Online Math Courses
Undergraduate Courses
Algebra I
Algebra II
Calculus
Calculus With Applications
Calculus With Theory I
Calculus With Theory II
Linear Algebra
Linear Algebra
Multivariable Calculus
Multivariable Calculus
...All
Graduate Courses
Advanced Analytic Methods in Science and Engineering
Advanced Calculus for Engineers
Advanced Complexity Theory
Advanced Partial Differential Equations with Applications
Algebraic Geometry
Combinatorial Theory: Hyperplane Arrangements
Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative Combinatorics
Computational Science and Engineering I
Differential Analysis
Differential Analysis
...All
Web Links
Master's Degree Programs
Mathematics Departments
Combinatorial Theory: Hyperplane Arrangements
Course Level: Graduate
Offered by: Massachusetts Institute of Technology (MIT) Massachusetts, United States
Course Instructor(s): Prof. Richard Stanley
This is a graduate-level course in combinatorial theory. The content varies year to year, according to the interests of the instructor and the students. The topic of this course is hyperplane arrangements, including background material from the theory of posets and matroids.

Basic Definitions, the Intersection Poset and the Characteristic Polynomial (PDF)
Properties of the Intersection Poset and Graphical Arrangements (PDF)
Matroids and Geometric Lattices (PDF)
Broken Circuits, Modular Elements, and Supersolvability (PDF)
Finite Fields (PDF)
All Lecture Notes