This page is for expository notes, slides, and papers. Most of these materials cover topics I am interested in researching, sometimes from a non-standard perspective, but are not based on original work.

## Slides

- Test Category Structure of Cube Categories. Cubical Sets Seminar, MSRI, May 2020. [Slides]
- Types as Weak Omega-Groupoids. School and Workshop on Univalent Foundations, April 2019. [Slides]
- Comparing Shapes for Higher Structures. Young Topologists Meeting, July 2018. [Slides]
- Topological Data Analysis. Indian Institute of Science, April 2016. [Slides]
- Category Theory and Functional Data Abstraction. Brandeis University, May 2015. [Slides]

## Notes

- A Brief Tour of Homotopy Type Theory. Cornell Logic Seminar, Spring 2020. [PDF]
- Simple Homotopy Theory and K1. Fall 2019. [PDF]
- Topological Modular Forms. Spring 2019. [PDF]
- Nerves of Higher Categories. Homotopy Group Student Seminar, Spring 2019. [PDF]
- Homotopy Theory Primer for Type Theory. Homotopy Type Theory Reading Group, Spring 2018. [PDF]
- Operations Arising from Equivariant K-theory of the Symmetric Group. Fall 2017. [PDF]
- Summary of Intro Topology and Special Topics. Fall 2015. [PDF]

## Course Papers

- Representability of Homotopy Groups in Type Theory. Cornell University, Fall 2017. [PDF]
- A Pointless Topological Equivalence. Brandeis University, Fall 2015. [PDF]
- Category Theory and Functional Data Abstraction. Brandeis University, Spring 2015. [PDF]