School on Univalent Mathematics




More information to the participants are available from


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.



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.



The school/workshop takes place at the Palazzone di Cortona, Cortona, Italy.




Lecture material

See the UniMath/Schools Github repository.



All the participants will be offered lodging (at Palazzone or nearby hotels) breakfast and lunch (the latter only from Monday through Saturday).

NB: It is forbidden to prepare any kind of meal in the Palazzone rooms. Any operation of laundry and ironing is also prohibited inside the Palazzone.


Instructions for applying to the School

The window period for filing applications will open on March 1, and close on April 30.  A selection committee will meet shortly afterward, and all the applicants will be notified whether they are admitted or not to the School in due time. The selected participants are requested to confirm their attendance and pay a fee of 80.00€.

For further information and clarifications, please contact Marco Maggesi.