Math 274: Spring 2023
Complex and Arithmetic Dynamics
MW 12-1:15pm

Useful references

Dinh-Sibony introductory notes on currents
Demailly Complex Analytic and Differential Geometry
Chapter 2 of Klimek's Pluripotential Theory
Krantz Function Theory of SCV

Lecture notes for this course, updated April 24: Math274
Lecture notes from my 2021 topics course, focused on potential theory and arithmetic equidistribution in dimension 1: Math295
Arizona Winter School lecture notes (updated March 5, 2023): AWS Notes

Problem sets from Jit Wu Yap:
Set 1
Set 2
Problem set from Yan Sheng Ang and Jit Wu Yap, prepared for Arizona Winter School:
AWS Set

Complex analysis and dynamics in dimension 1, textbooks:
John Milnor, Dynamics in One Complex Variable, Third Edition
Thomas Ransford, Potential Theory in the Complex Plane

Arithmetic dynamics and heights, textbooks:
Joseph Silverman, The Arithmetic of Dynamical Systems
Robert Benedetto, Dynamics in One Non-Archimedean Variable
Matthew Baker and Robert Rumely, Potential Theory and Dynamics on the Berkovich Projective Line
Enrico Bombieri and Walter Gubler, Heights in Diophantine Geometry

Articles:
Siu's survey on the Levi Problem (1978)