Course details

Description: This course focuses on advanced topics in spectral theory, partial differential equations (PDEs), and harmonic analysis. Possible subjects include the geometry of Laplace eigenfunctions and their zero sets, monotonicity formulas, harmonic measure estimates, methods of complex analysis, and quantitative unique continuation. Additional topics, such as quasiconformal mappings may be covered if time permits.
Grading: Based on homework assignments.
Prerequisites: This is graduate level course. Knowledge of measure theory, complex analysis and functional analysis is necessary. Optional: 18.155

Contact and other information

Instructor: Aleksandr Logunov, alogunov@mit.edu

Time and Location: MW 1:00-2:30, 2-147

Office hours: Tuesday 1:30-2:30, 2-478 + by appointment

TA: TBA TA’s office hours: TBA

Course materials

There is no official textbook!  Some topics will follow  https://michaellevitin.net/Book/  

Lecture notes, reading instructions and announcements will be posted on Canvas https://canvas.mit.edu/courses/30078