He is a member of the Grothendieck Circle, which provides on-line and open access to many writings about the mathematician Alexandre Grothendieck, whose category-theoretic genius revolutionized Banach-space theory and algebraic geometry and whose life has fascinated many biographers and mathematical scientists.
At CWRU, he is also a professor of mathematics.
- "Abstract nonsense", a (usually ironic) term for category theory and category-theoretic arguments in homological algebra
- "Generalized abstract nonsense", an ironic and affectionate term for topos theory
- Other topos theorists (besides Saunders Mac Lane):
- *Elementary Categories, Elementary Toposes.
- website of the Grothendieck Circle.
- Journal History of Mathematics.
- Website at CWRU.
- McLarty, Colin (1992). Elementary Categories, Elementary Toposes. Oxford: Oxford University Press. ISBN 0-19-853392-6.
- Colin McLarty, The Uses and Abuses of the History of Topos Theory, Brit. J. Phil. Sci, 41 (1990) p 355.
- Colin McLarty, 'Emmy Noether’s ‘Set Theoretic’ Topology: From Dedekind to the rise of functors' in The Architecture of Modern Mathematics: Essays in history and philosophy (edited by Jeremy Gray and José Ferreirós), Oxford University Press (2006) p. 211–35.
- McLarty, Colin, 2005, "Saunders Mac Lane (1909–2005): His Mathematical Life and Philosophical Works," Philosophia Mathematica 13: 237–51. With selected bibliography emphasizing Mac Lane's philosophical writings.
- --------, 2007, "The Last Mathematician from Hilbert's Göttingen: Saunders Mac Lane as Philosopher of Mathematics,", British Journal for the Philosophy of Science 58(1): 77–112.