Applications of Picard-Lefschetz theory to Cosmology

Picard-Lefchetz theory is a powerful tool for evaluating highly oscillatory integrals that are difficult or impossible to solve using other integration methods. This theory has numerous applications to lensing, quantum mechanics, and high energy physics. In this project, I will investigate using Picad-Lefchetz theory to solve simple lensing problems with the goal of applying these simple lens cases to coherent radiation passing through the interstellar medium. By approximating the lensing effects of the interstellar medium on radiation, we can take the radiation signals that we get here on earth and predict what kind of initial signal these originated from. Coherent radiation sources are still a big mystery in cosmology. Understanding the form of the original signal could help us understand what these radiation signatures are.

Faculty Supervisor:

Ue-Li Pen

Student:

Partner:

Academia Sinica

Discipline:

Physics

Sector:

Quantum Science; Other

University:

University of Toronto

Program: