32 citations · 66 across the 25 of their papers we have counts for
34 papers
Special classes of functions
James Freitag, Léo Jimenez, Joel Nagloo
Using model theory and differential algebra, we give necessary conditions for algebraic ordinary differential equations to have a complex Pfaffian solution on some complex domain.…
On the number of independent solutions of algebraic differential equations
James Freitag, Omar León Sánchez, Wei Li +1
We prove a conjecture of Kumbhakar, Roy, and Srinivasan (2024) on the classification of order one differential equations, and a conjecture of Kumbhakar and Srinivasan (2025) on hig…
When any four solutions are independent
James Freitag
We show that if any four distinct solutions of a rational difference equation are algebraically independent, then any number of distinct solutions to the equation are independent.…
Order one differential equations on nonisotrivial algebraic curves
Taylor Dupuy, James Freitag
In this paper we provide new examples of geometrically trivial strongly minimal differential algebraic varieties living on nonisotrivial curves over differentially closed fields of…
Applications of Littlestone dimension to query learning and to compression
Hunter Chase, James Freitag, Lev Reyzin
In this paper we give several applications of Littlestone dimension. The first is to the model of \cite{angluin2017power}, where we extend their results for learning by equivalence…
Finite-dimensional differential-algebraic permutation groups
James Freitag, Léo Jimenez, Rahim Moosa
Several structural results about permutation groups of finite rank definable in differentially closed fields of characteristic zero (and other similar theories) are obtained. In pa…