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Hello!

I'm James K. Alcala, about to begin my graduate studies in mathematics this fall at UCR. I recently completed a B.S. in pure math from UCR, so I'm happy to be returning to familiar territory. Right now, the topics I enjoy learning are analysis (real and complex) and some applied math, which I think is why I'm here: the more I hear about category theory, why it exists, and how it's being applied today, the more I want to learn about it. A little over a year ago, I worked on a project supervised by Dr. Fernando López-García, now of Cal Poly Pomona, studying the optimal constant of the Poincaré inequality on convex subsets of Euclidean space with respect to the \(L^{2}\) metric. I was able to give a talk in once of Dr. Michel Lapidus' seminars focusing on the proof in the 1D and 2D cases. While my background is primarily mathematical, I also spent a year as an English major who intended to minor in math, so I enjoy critical reading and humanities-type work, as well.

## Comments

Great ..for sure you will enjoy it, best

`Great ..for sure you will enjoy it, best`

Hi, James! Glad to have you here! There's a lot going on in applied category theory, and a lot of it is brand new.

By the way, LaTeX (or more precisely MathJax) is a bit funny here, you wrote

`\\(L^{2})\\`

but you need to write

`\\(L^{2}\\)`

to get things to work: \(L^{2}\).

`Hi, James! Glad to have you here! There's a lot going on in applied category theory, and a lot of it is brand new. By the way, LaTeX (or more precisely MathJax) is a bit funny here, you wrote `\\(L^{2})\\` but you need to write `\\(L^{2}\\)` to get things to work: \\(L^{2}\\).`

Thanks Dr. Baez, fixing it now!

`Thanks Dr. Baez, fixing it now!`