# About me

I am a PhD student at the Functional Programming Laboratory of the University of Nottingham, working on homotopy type theory, functional programming and language design.

### Publications

#### Functions out of higher truncations

With Nicolai Kraus and Andrea Vezzosi.

To appear at CSL 2015.

#### Non-Wellfounded Trees in Homotopy Type Theory

With Benedikt Ahrens and Régis Spadotti.

Proceedings of TLCA 2015, LIPIcs Vol. 38, pp. 17-30.

Project webpage.

#### Free Applicative Functors

With Ambrus Kaposi, proceedings of MSFP 2014.

Previous version, submitted to ICFP 2013.

### Recent work

#### Mutual and Higher Inductive Types in Homotopy Type Theory

My paper for the FP Lab Away Day 2014. An internalisation of the syntax of mutual and higher inductive types in 0-truncated Homotopy Type Theory.

#### Inheritance and overloading in Agda

My paper for the FP Lab Away Day 2013 (slides). An exposition of the techniques I used in the implementation of my category theory library in Agda.

#### Type theory through comprehension categories

My first year report: an introduction to fibrational models of type theory.

### Projects

#### agda-categories

An implementation of basic category theory in Agda/HoTT.

#### agda-base

Base library for homotopy type theory in Agda.

#### optparse-applicative

A Haskell library for parsing command line options using Applicative functors.

### Contact

@pcapriotti on GitHub