Yakov Shlapentokh-Rothman

Yakov Shlapentokh-Rothman is an Assistant Professor jointly appointed in the Department of Mathematics at the University of Toronto St. George and the Department of Mathematical and Computational Sciences at the University of Toronto Mississauga. His research focuses on the intersection of partial differential equations, general relativity, and geometric analysis, with particular emphasis on black hole physics and the Einstein field equations.

Education:

• PhD: Massachusetts Institute of Technology (2015)
• BS with Honors: Stanford University (2010)

Research Interests: Shlapentokh-Rothman's work explores fundamental problems in mathematical relativity, including black hole stability, singularity formation, wave propagation in curved spacetimes, and the asymptotic behavior of solutions to Einstein's equations. His research combines rigorous PDE analysis with deep geometric insights.

Publications focus on: black hole dynamics, scattering theory in curved spacetimes, stability analysis of Kerr and Reissner-Nordström solutions, cosmic censorship conjectures, and self-similar solutions to Einstein's equations. Recent work examines the structure of naked singularities and decay properties of fields in black hole backgrounds.

Awards and Recognition:

• Alfred P. Sloan Fellowship in Mathematics

Advising and Grants:

• Currently advising PhD student: Avyay Venkat Viswanath
• Research supported by NSERC Discovery Grants (RGPIN-2021-02562, DGECR-2021-00093)