This paper was written with Nisrine Sqalli for a course on Fourier Analysis taught by Dmitry Jakobson at McGill University. We also gave a presentation to which I linked below the slides we used. A shorter version of the paper was published in the Delta Epsilon (Issue 8).
PDF (Full Version) [last update: March 15, 2025]
Slides [last update: December 4, 2024]
This paper originates from a quick proof of the divergence of the Harmonic Series I found when I was still a calculus student. I talked about it with Sidney Trudeau, my calculus professor at that time who helped me make the proof more rigorous.
PDF [last update: January 13, 2025]
This paper is a report of what I learned during my Direct Reading Program at McGill University during the Winter 2024 semester. I worked with Frank Connor and my mentor was Hazem Hassan. We learned about p-adic numbers, their construction, their properties and their applications in Number Theory. We relied on the book p-adic Numbers, p-adic Analysis, and Zeta-Functions written by Neal Koblitz.
PDF [Coming soon...]
Slides [last update: April 30, 2024]
This paper is a report of what I learned during my Research Project (MATH470) at McGill University during the Summer 2024. I worked with Kaining Jia and my mentor was Anush Tserunyan. We worked on some proof techniques developed by our mentor to prove a bunch of Ergodic Theorems involving Group Actions.
PDF [last update: August 25, 2024]