$$\mathbb{S}$$hereen's $$\mathcal{W}$$ebpage
(under construction)
Photo taken: 15 July 2020 05:08; Montréal, Québec

# Introduction

Hello! My name is Shereen Elaidi, and I'm studying Mathematics at McGill University. My academic interests are ergodic theory, PDEs, mathematical physics, analysis, and physics (especially black holes). This summer I'm solving the wave equation $\Box u = - \frac{1}{S^2} \partial_\tau^2 u - 2 \frac{\dot{S}}{S^3} \partial_\tau u + \frac{1}{S^2} \Delta_\sigma u = 0$ (where $$S$$ depends on the Friedmann-Robertson-Walker metric) on various manifolds with random initial conditions. My personal interests include cycling, drawing, and reading. You can find the (highly in-elegant) source code for my webpage here.

In Winter 2021, I will be TAing SUMS 707: Basic Reinforcement Learning (Elementary Theory and Applications) taught by Gabriela and Viet. I will be spreading PDEs propaganda and Anna is the official botanist of SUMS, where she will be indoctrinating the students with branching processes and markov chains.

# Projects

In November 2020 Anna, Diego, Gabriela, Maia, and myself made a simulation of electrodynamics, Electrodynamics on a Donut, on a torus (project can be found here)

# Research (Under Construction)

## Summer 2020

I'm solving the wave equation $\Box u = - \frac{1}{S^2} \partial_\tau^2 u - 2 \frac{\dot{S}}{S^3} \partial_\tau u + \frac{1}{S^2} \Delta_\sigma u = 0$ (where $$S$$ depends on the Friedmann-Robertson-Walker metric) on various manifolds with random initial conditions.

## Class Notes

Here are some new and old LaTeXed class notes. I apologize in advance for all the typos, if you spot something don't hestitate to let me know!
• U0 Fall 2017
• U0 Winter 2018
• U1 Fall 2018
• U2 Fall 2019
• U2 Winter 2020