15 citations · 40 across the 15 of their papers we have counts for
17 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…
Categoricity and non-arithmetic Fuchsian groups
John Baldwin, Joel Nagloo
Let be a non-arithmetic Fuchsian group of the first kind with finite covolume, and let be a corresponding uniformizer. In this paper we introduce…
Algebraic independence of the solutions of the classical Lotka-Volterra system
Yutong Duan, Joel Nagloo
Let be distinct non-constant and non-degenerate solutions of the classical Lotka-Volterra system \begin{equation}\notag \begin{split} x'&= axy + bx\\ y…
Strong minimality of triangle functions
Guy Casale, Matthew DeVilbiss, James Freitag +1
In this manuscript, we give a new proof of strong minimality of certain automorphic functions, originally results of Freitag and Scanlon (2017), Casale, Freitag, and Nagloo (2020),…
On the equations of Poizat and Liénard
James Freitag, Rémi Jaoui, David Marker +1
We study the structure of the solution sets in universal differential fields of certain differential equations of order two, the Poizat equations, which are particular cases of Lié…