I am a visiting assistant professor in the Department of Mathematics at the University of California, Riverside. My office is room 275A of Skye Hall.
Here is my CV.
You can reach me by email at kaya [dot] arro [at] ucr [dot] edu.
My surname used to be "Ferendo". My pronouns are "they" (English), «elle» (español), and «hen» (norsk).
I am an ∞-category theorist and am easily excited by almost any aspect of the field, but particularly by the use of ∞-categories as a tool for elucidating structures in homotopy theory.
My current work lies within the field of functor calculus and specifically deals with flavors of functor calculus adjacent to Michael Weiss' orthogonal calculus. I also have an interest in the tangent (∞,2)-categories of Bauer, Burke, and Ching.
In my dissertation, I showed that representation stability for FI-modules can be fit pleasantly into a larger, ∞-categorical functor calculus framework. You can read a preprint of my thesis research and my research statement. There are also slides from a talk on the material.
Teaching is an extremely rewarding and joyful part of my profession and I believe I have a great responsibility to my students. I elaborate my thoughts in my teaching statement.
I am currently teaching Math 145A, Introduction to Topology, and Math 6A, Introduction to College Mathematics for the Sciences.
In the past, I have conceived, designed, and taught four times a fully rigorous 30-hour course on the foundations of mathematics for high school students, focusing on Peano arithmetic and Zermelo-Fraenkel set theory with choice.
You can read an outline for that course.
I have also taught differential, integral, and multivariable calculus and linear algebra, the latter employing a team-based inquiry learning format that I am excited to continue using in my future teaching.
In 2022 I received the Brown University Math Department's Outstanding Teaching Award.
I grew up in Maryland and spent my early adulthood in New England. This year is my first time living away from the East Coast.
I live with my life partner of 13 years and our dog, Rascal.
Outside of mathematics, my hobbies include photography, spending time in nature, studying languages (especially Norwegian and English), playing Celtic fiddle music, and writing.