Kyle Ferendo
Graduate Student
Contact Info
Department of Mathematics
Box 1917
Brown University
151 Thayer Street
Providence, RI 02912
Email: kferendo [at] math [dot] brown [dot] edu
Introduction
I am a second year graduate student in Brown’s math department. I am a student of Tom Goodwillie. My office is in room 014 of Kassar.
Research
My research interest is higher category theory.
Here is a lightly edited version of my undergraduate thesis, "The Maximal and Free (∞,n)-Categories of an (∞,n+1)-Category", advised by Michael Ching. Only section 3.6 contains an original result.
Teaching
This semester, my office hours are 12:00 – 1:00 on Wednesdays and Thursdays. But check the course website in case of rescheduling.
Fall 2019: Teaching fellow for Math 0090 (Calculus I). The course webpage is here.
Summer 2019: Designed and taught a rigorous two-week course on ZFC set theory for high schoolers (this was a course in the Summer@Brown program).
Fall 2018: Teaching assistant for Math 0100 (Calculus II).
I have mentored directed reading projects on homotopy type theory, category theory, and abstract homotopy theory.
Organizational
In the spring of 2019 I created the graduate student category theory seminar. The seminar continues this semester.
With Shiyue Li and Jiahua Zou, I organize the Brown Math Department's directed reading program. This program pairs undergraduate students with graduate student mentors for semester-long projects in which participants delve into more advanced topics that capture their interests.
Expository documents
Here is a short and very informal exposition introducing and advertising adjunctions.
Here is a write-up I produced at the end of a special topics course under the guidance of Prof. Ching in my junior year of undergrad. The subject of the course was motivic homotopy theory, but it also served as my first introduction to abstract homotopy theory, and the write-up may function as an introductory primer on the theory of model categories.
Personal
I grew up in central Maryland. I spent five years living in western Massachusetts and have lived in the orbit of Providence for two years now, but have never lived in Rhode Island. My extra-mathematical hobbies principally include outdoor activities: photography, hiking, biking, camping, canoeing, biking, etc.; and music: amateur fiddling (most traditions of Celtic music as well as some Quebecois and old-time) and contra dancing.
