# School on Univalent Mathematics

July 29 - August 02, 2024, Minneapolis, USA

*(Install party on July 28, 2024)*

## Overview

Homotopy Type Theory and Univalent Mathematics are emerging fields of mathematics that study
a fruitful relationship between homotopy theory and (dependent) type
theory.
This relation plays a crucial role in Voevodsky's program of Univalent
Foundations, a new approach to foundations of mathematics, based on
ideas from homotopy theory, such as the Univalence Principle.

The UniMath library
is a large repository of computer-checked
mathematics, developed from the univalent viewpoint.
It is freely available for everyone, as an open-source project,
from the web.
The School will
give many young researchers an opportunity to familiarize themselves
with the UniMath library and become contributors.

## Format

Participants will receive an introduction to
Univalent Foundations and to Mathematics in those foundations, by leading experts in the field.
In the accompanying problem sessions, participants will formalize pieces of Univalent Mathematics in the
UniMath library.

## Learning Materials

The learning materials for the school are located here.
## Lecturers

- Benedikt Ahrens (Delft University of Technology)
- Carlo Angiuli (Indiana University)
- Kuen-Bang Hou (Favonia) (University of Minnesota)
- Paige Randall North (Utrecht University)
- Niels van der Weide (Radboud University Nijmegen)

## Prerequisites

Participants should be interested in mathematics and the use of computers for mathematical reasoning.
Participants do not need to have prior knowledge of logic, Coq, or Univalent Foundations.

## Location

University of Minnesota (Twin Cities), Minneapolis, MN, United States
## Social

We use the UniMath Zulip server for communication between all participants.
Feel free to ask any questions related to univalent mathematics and the installation of UniMath there.
For any communication directly related to the School on Univalent Mathematics, please use the dedicated channel Minnesota 2024.
You can use this channel to meet other participants even before the school, to organize travel together and plan activities.
## Schedule

## Before the event

- Check recommended reading
- Install UniMath on your laptop

### Recommended reading

You can prepare for the school by studying some of the material listed below.
### Installing UniMath

Please install UniMath on your laptop before coming to Minneapolis.
To this end, read the installation instructions.
In case of problems or questions, please ask on the UniMath Zulip server.
You can also attend the UniMath install party on Sunday afternoon for help with the installation - see Section "Schedule" for more information.
## Sponsors

We thank the National Science Foundation,
the University of Minnesota's Department of Computer Science & Engineering,
and the University of Minnesota's Institute for Mathematics and its Applications
for their generous support of this event.

## Organisers

- Benedikt Ahrens
- Kuen-Bang Hou (Favonia)