David Perkinson

David Perkinson

Professor Emeritus of Mathematics · Reed College
davidp at reed.edu · Department of Mathematics · Reed College

Research

My work centers on combinatorial algebraic geometry, with a focus on the abelian sandpile model, chip-firing, and divisor theory on graphs.

Chip-firing Sandpiles Algebraic Geometry Combinatorics SageMath

Selected Publications

Full publication list, presentations, and CV →

Projects

Divisors and Sandpiles

Textbook published by the AMS, with Scott Corry. An introduction to chip-firing and divisor theory on graphs.

Read more →

Sandpile Simulation

Interactive WebGL sandpile explorer. Watch the identity element and other configurations emerge.

Launch →

Edge Game

A combinatorial game on graphs — try to determine winning strategies.

Play →

SageMath Modules

Author of the sandpiles module and co-author of the hyperplane arrangements module in SageMath.

Sandpiles →

Teaching Archive

Lecture notes from courses taught at Reed College, 1991–2024.

Intro to Algebraic Geometry (PCMI 2008) →

Students

Over three decades at Reed, I advised more than 50 senior theses on topics ranging from sandpile theory to tropical geometry to the mathematics of juggling.

Complete list of thesis students →

Music

Concertina and fiddle duets with my daughter Joy, mbira recordings by my son Cole, and experiments in sandpile-generated music.

Listen →