## Kyle Ferendo

Graduate Student

Brown University

Department of Mathematics

### 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 third 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

• Fall 2019: Teaching fellow for Math 0090 (Calculus I).

• 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). I will teach the course again in the summer of 2020.

• 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 and fall of 2019 I created and ran the graduate student category theory seminar. That seminar is now defunct, but you should still contact me with any category theory questions!

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 since beginning graduate school in the fall of 2017, but have never lived in Rhode Island. My extra-mathematical hobbies principally include outdoor activities: photography, hiking, biking, camping, canoeing, etc.; and music: amateur fiddling (most traditions of Celtic as well as some Quebecois and old-time) and contra dancing.