Scholarship

Articles and Preprints

• J. Alper and R. Easton. Recasting results in equivariant geometry: affine cosets, observable subgroups and existence of good quotients. To Appear in Transform. Groups (2012), 20pp.
• R. Easton. $S_3$-covers of schemes. Canad. J. Math. 63 (2011), no. 5, 1058-1082. DOI:10.4153/CJM-2011-045-8.
• R. Easton. Surfaces violating Bogomolov-Miyaoka-Yau in positive characteristic. Proc. Amer. Math. Soc. 136 (2008), 2271-2278.
• R. Easton. $S_3$-covers of schemes. Thesis (2007), 67pp.
• R. Easton and R. Vakil. Absolute Galois acts faithfully on the components of the moduli space of surfaces: A Belyi-type theorem in higher dimension. Int. Math. Res. Not. 20 (2007), Art. ID rnm080, 10pp.

Notes

The following notes were written only for my own interests and do not represent new research. Everything contained within them has been known for some time, and has been explained elsewhere in both greater precision and generality. I sometimes find it difficult to learn mathematics purely by reading it, however, so for my own enlightenment I occasionally decide to work through some basic definitions and results on my own. As such, I cover only those topics I find of particular interest and ignore countless others. I post these notes here on the off chance they might be of some use to others.

• A note on group schemes. (2009), 10pp.
• A note on points of algebraic stacks. (2009), 3pp.

Presentations

MATLAB Assignments

The assignments below were created with Andy Schultz, at the request of the Stanford math department.