- Where: Online (due to Covid-19 outbreak).
- When:
- Online meetings, February-June 2020.
- Research week, June 29-July 3, 2020
See also the ACT Conference 2020.
Deadline for applications: January 15, 2020.
Research groups, mentors, and topics
- Michael Johnson, Categories of Maintainable Relations
- Nina Otter, Diagrammatic and algebraic approaches to distances between persistence modules
- Valeria de Paiva, Dialectica categories of Petri nets
- Michael Shulman, A practical type theory for symmetric monoidal categories
(Click on the links above for more detailed information.)
Who should apply?
Anyone, from anywhere in the world, who is interested in applying category-theoretic methods to problems outside of pure mathematics. This is emphatically not restricted to math students, but one should be comfortable working with mathematics. Knowledge of basic category-theoretic language—the definition of monoidal category for example—is encouraged.
We will consider advanced undergraduates, PhD students, post-docs, as well as people working outside of academia. Members of minorities, and of any groups which are underrepresented in the mathematics and computer science communities, are especially encouraged to apply.
Structure of the school
Every participant will be assigned to one of the groups above, according to their preference (and to the availability of places within the groups). Each group will consist of a mentor, a TA, and 4-5 students.
Online meetings
Between February and June 2020 there will be an online reading seminar. Each group will have a reading list of two papers, which they will study, and then present to the rest of the school during weekly online meetings. Every member of the school is encouraged to take part in the discussion of every paper, first during the meeting via live chat, and then, in written form, on an online forum. After the presentation and the forum discussion the students of each group will write a blog post about their assigned paper on the n-Category Café.
During this period, the TAs will be there to help the students, answer any question they might have, and moderate the discussions. This way, all the participants will build the necessary background to take part in the research activities during the week at MIT.
Research week
After the online meetings, there will be a two-week event at MIT, from June 29th to July 10th 2020. The first week is dedicated exclusively to the participants of the school. They will work in groups on the research projects outlined above, led by their mentors, with the help of their TAs.
During the second week the ACT 2020 Conference will take place, which is open to a wider audience. The member of each group of the school will have the possibility to present their activity to the audience of the conference, and share their ideas. The conference is not technically part of the school, but is about very similar topics, and participation is very much encouraged. The online meetings should prepare students to be able to follow some of the conference presentations to a reasonable degree, and introduce them to the main problems and techniques of the field.
Edit: due to the Covid-19 outbreak, both the research week and the ACT conference of this year will be held online instead of at MIT.
Questions?
For any questions or doubts please write us at the address act adjoint school at gmail dot com.
Organizers: Carmen Constantin, Eliana Lorch, Paolo Perrone.