Samy Lahlou Kamal

Fourier Analysis: The Catalyst of Modern Analysis

• 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 (Published Version) [March 20, 2025]

• PDF (Full Version) [last update: March 15, 2025]

• Slides [last update: December 4, 2024]

  
  

Deep Dive into a New Proof of the Divergence of the Harmonic Series

• 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]

  
  

History of L-functions

• In this paper, I present the subject of L-functions through its history starting from Euler and ending in the recent development of the subject. This project started as a research project during my Summer 2025 (NSERC) at McGill University under the supervision of Professor Henri Darmon. I am now pursuing this project on my own as it will probably take a few years to finish.

• PDF (unfinished) [last update: January 28, 2026]

  
  

Ergodic Theorems (Research Project - MATH470)

• 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 Professor 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]

  
  

p-adic Numbers (DRP Project)