I am an aspiring mathematician and this blog will be used to present things I’ve done, things that interest me, things I’ve recently read, and so forth. I’ll also be using this blog for the courses I am teaching at UC Irvine.
My research is in the areas of operator theory, complex analysis, especially several complex variables, and harmonic analysis. An antecedent for much of my work is the Pick interpolation theorem from complex analysis of one variable (I will write more on this another time). I have mostly been studying generalizations of Pick’s theorem in several complex variables and more specifically on the bidisk and subvarieties of the bidisk.