In Fall 2025, we will continue the long tradition of the Kolchin Seminars in Differential Algebra at the City University of New York (see here for the past talks) with a seminar in hybrid mode. Participants present in New York meet in the CUNY Graduate Center Room 5382, while participants from around the world join via Zoom. 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 10:15 am New York time. We will have a 40 minute talk, followed by a short networking opportunity and time for discussion.
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 2025 Organizers:
Title: Strongly normal extensions and algebraic differential equations
In this talk, we present our recent work on the structure of differential subfields of strongly normal extensions and its applications to the study of algebraic differential equations. We revisit certain classical results of Goldman, Singer and Rosenlicht on solution fields of first order nonlinear differentials and explain how our results can be used to extend these results to higher order algebraic differential equations. We will also discuss differential algebraic dependence of solutions of a differential equation. This is a joint work with Varadharaj Ravi Srinivasan.
See the talks from past years.