Post-Grant Reports


Sabbatical Leave Report

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Discrete Mathematics and Combinatorics | Geometry and Topology


This sabbatical provided Dr. Hitchman with the opportunity to work on two projects: research in the mathematics of tiling, and the creation of an open-content edition of his textbook Geometry with an Introduction to Cosmic Topology. Work on both projects began in the fall of 2016, when Dr. Hitchman took a courtesy appointment in the Department of Mathematics at the National University of Ireland, Galway.

Dr. Hitchman’s efforts led to the contribution of a chapter in the text A Primer for Undergraduate Research: From Groups and Tiles to Frames and Vaccines, to be published by Birkhaüser in February 2018, and the completion of his open-content geometry text. In September 2017 the American Institute of Mathematics added his text to its list of approved textbooks as part of their Open Textbook Initiative.


This research was conducted as part of a sabbatical leave in 2016-2017.

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