My research program deals with category actions and its implications for stable homotopy theory. I'm developing a theory of spectra equipped with the action of a small category, D, and a theory a D-Mackey Functors. You can read more in my research statement.
You can also watch a 10-minute video version of my research statement.
I believe that all humans deserve to have meaningful and joyful mathematical experiences. Mathematics is a collaborative art, not just the work of a "few great men." As a professional mathematician, I have deeply benefited from being in open mathematical spaces where I felt I belong, and I believe anyone with an interest in mathematics should have the same experience.
However, in the United States and around the world, this is not often enough the case. There are systemic barriers to entry, and these require systemic solutions. It is not enough to merely train hiring and admissions committees against implicit bias. One must also understand the inherit biases present in citation indices, teaching evaluations, test scores, and other "objective" metrics. Over-reliance on flawed metrics constitutes mathematical harm and is not acceptable. Furthermore, we must evaluate candidates on how they can enrich and expand the mathematical community, not just the theorems they can prove.
But it is not enough to just remove barriers to entry. Rather, we must ensure that mathematicians of all stripes thrive in mathematical spaces. We be conscious of how we select collaborators and invited speakers. We need active mentorship between senior and junior mathematicians. And when discrimination happens—at any level—there needs to be consequences.
We cannot make minoritized mathematicians to do all the work here. It is important to listen to each other, especially when it comes to complaints about hostile climates, discrimination, and unfair treatment. But mathematics belongs to all of us, and it's on all of us to make it inclusive.
This year (2021-2021), I am on the UCLA Physical Sciences Student Advisory Board, working with the Dean and Physical Sciences Diversity Committee. For all comments/questions/concerns, you can contact me in this capacity via email or via anonymous form here.