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Open Math Notes

Resources and inspiration for math instruction and learning

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Welcome to AMS Open Math Notes, a repository of freely downloadable mathematical works hosted by the American Mathematical Society as a service to researchers, faculty and students. Open Math Notes includes:

  • Draft works including course notes, textbooks, and research expositions. These have not been published elsewhere and are subject to revision.
  • Items previously published in the Journal of Inquiry-Based Learning in Mathematics, a refereed journal
  • Refereed publications at the AMS

Visitors are encouraged to download and use any of these materials as teaching and research aids, and to send constructive comments and suggestions to the authors.

Open Math Notes Advisory Board:

  • Karen Vogtmann, Chair | University of Warwick
  • Tom Halverson | Macalester College
  • Andrew Hwang | College of the Holy Cross
  • Robert Lazarsfeld | Stony Brook University
  • Mary Pugh | University of Toronto

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Lecture Notes on Geometric Group Theory

These notes cover the foundations of geometric group theory, such as Cayley graphs and quasi-isometries, and additionally a selection of topics, such as hyperbolic spaces, CAT(0) spaces, and cube complexes. The style is rather informal, and the goal is often to convey the key ideas rather than the fine details, so they are best used for a course that aims to give an overview of a selection of topics in Geometric Group Theory (or for individual students who want an overview).

Alessandro Sisto
Heriot-Watt University
Laura Ciobanu
Heriot-Watt University
Alexandre Martin
Heriot-Watt University

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Open Math Notes authors welcome substantive, useful feedback that helps them develop and improve their notes. Comments submitted through this site may be posted on the Open Math Notes web pages next to the appropriate Note.
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