I’m RM Causey, and I’m a visiting assistant professor at Miami University.
I earned a B.S. in math at Mississippi State University in 2009 and a Ph.D. in math from Texas A&M University in 2014. My primary research interests are Ramsey theory, functional analysis, greedy approximations, and local theory. More precisely, I enjoy using Ramsey theory, ordinal indices, descriptive set theory, and non-linear metric theory to classify linear operators between Banach spaces.
The large-scale structure of my research has been concerned with using transfinite methods to delineate and investigate operators ideals, operator factorization, and renorming theorems. In particular, I use ordinal indices (notably the Szlenk index, dentability index, Bourgain index, and James index) and non-linear transfinite metric structures to define and study classes of operators.
I also have significant interest in the interplay between probability and functional analysis, as well as the applications of both of these areas of math to finance. I have passed both the P and FM actuarial exams.