Registration Deadline: TBA (for students taking the course for credits)

Instructor: Professor Yakov Shlapentokh-Rothman, University of Toronto

Course Date: TBA
Mid-Semester Break: TBA
Lecture Time: TBA
Office Hours: TBA

Registration Fee:

Students NOT Taking the Course for Credits: Free

Students Taking the Course for Credits:

• Students from our Principal Sponsoring & Affiliate Universities: Free
• Other Students: CAD$500

Capacity Limit: TBA

Format: TBA

Course Description

This course is cross-listed for the Thematic Program on Shocks and Singularities: Nonlinear evolution equations in physical and life sciences (January-June 2026) and the Shared Graduate Courses Program.

This class will give on overview of self-similarity and naked singularities for the Einstein equations.

Topics to be covered may include Christodoulou's naked singularities for the spherically symmetric Einstein-scalar field system, Singh's study of the wave equation on Christodoulou's naked singularity background, introduction to the double-null gauge and the characteristic initial value problem, Fefferman–Graham theory and the asymptotically self-similar regime for the Einstein vacuum equations, and twisted self-similarity and naked singularities for the Einstein vacuum equations.