$$\mathbb{S}$$hereen's $$\mathcal{W}$$ebpage
(under contstruction)
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.

# 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.

Fibromyalgia...

Exoplanets...

## $$\mathbb{E}\text{igen}\mathcal{L}\text{earn}$$

In progress (v1.2.0): a hybrid of Rosie's Dream and Anki -- EigenLearn. EigenLearn renders $$\LaTeX$$ using gabdown.

How do you use this? When you open the link, there will be a sample set of questions written in gabdown. Unless you are on mobile, the default mode is edit'', which should look like this:

Write your questions using gabdown (for documentation, see here). To add a question, add the following code:

 <question-env> Precisely state the **Spectral Theorem for compact self-adjoint operators**. </question-env> 

There are two other modes: you can view all the cards simultaneously using View all questions'' and you can take a quiz using Quizze Mode.''

Ideas for v1.3.0+: We are looking to eventually incorporate some form of a spaced-repetition algorithm, allow users to upload their questions as gabdocs, and more. We also want to fix some UI issues, such as the arrows for quiz mode being visible on the edit and view cards modes.

### Gabdown Files

To use, for now, just paste the contents of the .gd file into the text box of the edit'' mode. The default for now is Math 454, more to come later.

Math 454 (Analysis III)

## 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

## Expository Writing

### Sunrises and Art

I like waking up at 4AM and doing physics and watching the sunrise. Also, I used want to be an artist, here is some of my art.

## Personal Data

Name: Shereen Elaidi
Email: firstname[dot]familyname[at]mail[dot]mcgill[dot]ca
Citizenship: American

## Education

McGill University, Montreal, Canada (September 2017 - May 2021 [expected])
B.A. in Honours Mathematics, Computer science minor
Department of Mathematics and Statistics

McGill University, Montreal, Canada (September 2016 - May 2017)
B.A. in Political Science & Economics
Departments of Political Science and Economics

## Research Experience

Mathematics and Statistics Department Undergrad Research (May 2020 - August 2020)
The study of the wave equation in cosmological space-times with random initial conditions under the supervision of Professor Chen, Professor Jakobson, and Professor Tsogtgerel.

Canadian Centre for Computational Genomics (C3G) (May 2019 - August 2019)
Installed the whole genome shotgun (WGS) sequencing program, MOCAT2, on the lab's computing clusters. Wrote a pipeline to use MOCAT2 to analyze the influence of the gut's microbiome on the development of fibromyalgia. Modified MOCAT2's code to reduce the run-time and RAM usage. We then used this program to analyze 156 samples from patients to determine the influence, if any, of the gut's microbiome on developing fibromyalgia.

McGill Space Institute (MSI) (February 2018 - August 2018)
Wrote and debugged a Python program to compute light-curves from exoplanets under the supervision of Professor Cowan. Light-curves encode information about an exoplanet's atmosphere, which is useful for exocartography (exoplanet mapping). I also attended weekly journal clubs discussing the most recent developments in astrophysics research and volunteered to help run MSI science outreach programs.

## Talks

A Brief Introduction to Ergodic Theory (Seminary on Undergraduate Mathematics in Montreal, January 2020) [PDF].
Building up to Lorentzian Causality Theory (Directed Reading Program Talks, January 2020) [PDF].

## Work and Extracurricular Experiences

• SUMS VP Academic (May 2020 - May 2021)
• VP Academic position on SUMS (the undergraduate student society for mathematics of McGill University).
• Undergraduate student marker in the Math Department (January 2019 - December 2019)
• Graded for: Math 247 (H. Applied Linear Algebra), Math 203 (Introduction to Statistics), Math 254 (H. Analysis 1).
• Directed Reading Program (September 2019 - January 2020)
• Lorentzian Causality Theory
• Mathematics Peer Mentor (December 2019 - Present)
• Mentors a U0/U1 math student by helping them adjust to university and Montreal.
• McGill NeuroTech Team (June 2019 - August 2019)
• Read academic papers about Spiking Neural Nets (SNNs) and implemented an LSTM model to predict left'' or right'' brain signals using TensorFlow. The project was to develop a game to collect data for the brain-controlled wheelchair built the previous semester.
• AI For Social Good Lab (May 2018 - June 2018)
• Attended three weeks of ML lectures. Worked on an app to predict the most dangerous time and location to ride a bicycle in Montreal. Worked on a project to predict if a picture featured a construction site or not to help blind individuals navigate Montreal at the AI4Good Hackathon.
• Minireference (February 2018 - April 2018): used the TikZ package in LaTeX to produce 40 vector graphics for a linear algebra textbook.
• Hannaford Supermarkets (June 2015 - December 2017): cashier, bagger, and cart retriever.