Friday, September 19, 201412:30 pmModel theory seminarKolchin seminar in Differential AlgebraGC 5382

# Model theory and the PainlevĂ© equations

## Ronnie Nagloo

### CUNY Graduate Center

The PainlevĂ© equations are nonlinear 2nd order ODEs and come in six families P1,…, P6, where P1 consists of the single equation $y′′=6y^2+t$, and P2,…, P6 come with some complex parameters. They were discovered strictly for mathematical considerations at the beginning of the 20th century but have arisen in a variety of important physical applications, including for example random matrix theory and general relativity.

Dr. Joel (Ronnie) Nagloo studies model theory and differential algebra. He holds a Ph.D. from Leeds University, completed under the supervision of Anand Pillay and Frank Nijhoff. After an initial postdoctoral position at the CUNY Graduate Center, he is now an Assistant Professor in mathematics at Bronx Community College.