My first book, Compact manifolds with special holonomy, 436 pages, was published in the Oxford Mathematical Monographs series by Oxford University Press in July 2000. You can buy it over the Web from OUP or Amazon.

It is a combination of a graduate textbook on Riemannian holonomy groups, and a research monograph on compact manifolds with the exceptional holonomy groups G₂ and Spin(7). It is the first book on compact manifolds with exceptional holonomy, and contains much new research material and many new examples.

It is aimed at research mathematicians or graduate students interested in Differential Geometry or Algebraic Geometry, and at mathematical physicists working in String Theory.

Other reviews of Compact manifolds with special holonomy:

Ideal Christmas present for the mathematician in your life! Every home should have one!	-- Woman's Own
This book changed my life!	-- Jayne Joyce
What does 'compact' mean?	-- Daily Mail
I couldn't pick it up!	-- Farmer's Weekly
We look forward to the appearance of his last work.	-- Belfast Times
This book has far-reaching implications for the scoring strategy in underwater badminton.	-- Dr. Ruth Graham

401,998th on the Amazon best-sellers list! Over 13 copies sold!
My second book, 'Calabi-Yau Manifolds and Related Geometries', 239 pages, joint with Mark Gross and Daniel Huybrechts, was published in the Universitext series by Springer in 2003. You can buy it on on the Web from Springer or Amazon.

My contribution to the book is the first 70 pages, which is an introduction to Riemannian holonomy groups and calibrated geometry.

I should confess that a little more than half this book is an updated version of parts of my first book 'Compact manifolds with special holonomy'. That is, I am cheerfully guilty of rampant self-plagiarism. Nonetheless, you should buy several copies of both books, for you and all your friends (or enemies?).

My fourth book, 'A theory of generalized Donaldson-Thomas invariants', 199 pages, joint with Yinan Song, was published in Memoirs of the A.M.S. in May 2012. You can buy it online here, and it is available for free as arXiv:0810.5645.

My fifth book, 'Algebraic Geometry over C^∞-rings', 139 pages, was published in Memoirs of the A.M.S. in July 2019. You can buy it online here, and it is available for free as arXiv:1001.0023.

My sixth book, 'C^∞-algebraic geometry with corners', 216 pages, joint with Kelli Francis-Staite, was published as London Mathematical Society Lecture Notes Series 490 by Cambridge University Press in January 2024. You can buy it online here, and it is available for free as arXiv:1911.01088.