In Fall 2026, we will continue the long tradition of the Kolchin Seminar in Differential Algebra at the City University of New York (see here for the past talks) with an online seminar. To obtain the Zoom link, please register via the following link:
Register to attend the online Kolchin seminar
You will then receive a weekly e-mail reminder a few days before the seminar, including title and abstract of the talk. If you already registered for the seminar last semester, you do not need to register again. In case you are interested in giving a talk in this seminar, please contact the organizers.
The seminar meets weekly, every Friday 10:00 am New York time. We will have a 40 minute talk, followed by questions.
Algebraic theory of differential and difference equations (Galois theory, differential and difference algebra, integrability), algorithms and their implementation, connections to model theory, and applications (such as mathematical biology, numerical analysis of ODEs and PDEs, motion planning, etc.)
Fall 2026 Organizers:
Title: Some model theory of partial differential equations
I will report on joint work in progress with James Freitag and Omar León Sánchez. We construct a strongly minimal ordinary differential equation whose solution set remains strongly minimal after the differential field is expanded by an additional commuting derivation. From the viewpoint of DCF_{0,2}, this gives a strongly minimal definable set of infinite differential dimension. Some of my contributions to the project were developed with the assistance of AI, and I will comment on this aspect during the talk. Time permitting, I will also explain possible connections with the method of differential constraints in the theory of PDEs.
See the talks from past years.