Mike Miller

Graduate Student
Department of Mathematics, UCLA

Office: MS 5351. I am more or less never there.
Email: smmiller@ucla.edu. Feel free to email me! I get surprisingly little spam.

I'm a fifth year graduate student. I mostly do gauge theory and its applications to low-dimensional (3+1) topology and differential geometry.
My advisor is Ciprian Manolescu.



Publications

Equivariant instanton homology ~ in preparation ~ expected release date: late November 2018
In this paper I develop some analysis of instanton moduli spaces, and present algebra related to the equivariant (co)homology of differential graded algebras and their modules.
Using these tools, I define four invariants of rational homology spheres that deserve to be called "equivariant instanton homology" and have some formal properties similar to those seen in Heegaard Floer and monopole Floer homology.



Teaching


I use StackExchange:

profile for Mike Miller at Mathematics Stack Exchange, Q&A for people studying math at any level and professionals in related fields


Image by Ryan Armand.