MA 764:  Chip Firing
Spring 2019, MWF 9-9:50
Whitehall Classroom Building 343-CB

Instructor:  Dave Jensen
Office:  POT 733
Email:  dave.h.jensen@gmail.com

Syllabus

Notes Exercises
Lecture 1: Divisors on Graphs
Lecture 2: The Degree of a Divisor Assignment 1
Lecture 3: Effective and Reduced Divisors
Lecture 4: Dhar's Burning Algorithm Assignment 2
Lecture 5: Orientable Divisors
Lecture 6: Orientable Divisors, continued Assignment 3
Lecture 7: Break Divisors
Lecture 8: The Rank of a Divisor Assignment 4
Lecture 9: Riemann-Roch
Lecture 10: Ramification Assignment 5
Lecture 11: Extended Example: The Chain of Loops
Lecture 12:  Gonality and Brill-Noether Theory Assignment 6
Lecture 13: Divisor Theory of Metric Graphs
Lecture 14: Reduced Divisors on Metric Graphs Assignment 7
Lecture 15: Riemann-Roch for Metric Graphs
Lecture 16: Divisor Theory of Weighted Graphs
Lecture 17:  Abel-Jacobi
Lecture 18: Rank Determining SetsAssignment 8

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