Malik Amir

About me

I am a medical student at the Université de Montréal working in the lab of

Dre Houda Bahig in radiation oncology, medical physics, and AI,
Dr Alexander G. Weil at the intersection of epilepsy, neurosurgery, and AI.

Previously I was part of Dr Alexandre Prat lab working at the intersection of multiple sclerosis and AI.

I am also a mathematician specialized in number theory. In 2020, I received my B.Sc in Mathematics from McGill University working with Prof. Henri Darmon and Prof. Sarah Harrison. In 2022, I received my M.Sc in Mathematics from École Polytechnique Fédérale de Lausanne working under the supervision of Prof. Maryna Viazovska and Prof. Vlad Serban.

The picture on the right was taken in Lake Atitlan in Guatemala, truly one of the most beautiful places in the world. Since 2020, I had the chance to travel all around the world. I have become what I now call a traveling mathematician.

Last update : 2025-03-25

Research interests

In Mathematics :

My research has been mostly in number theory, especially in the study of modular forms, elliptic curves, and their L-functions. One of my favorite problem is the sphere packing problem and its connections to quantum gravity and the theory of L-functions. I also work on the applications of artificial intelligence to guide human intuition for mathematical research. More precisely, I have studied how genetic programming algorithms can be used to generate explicit conjectures about certain mathematical invariants by giving exact or approximate formulas for these.

Recently, I have discovered the beautiful relationship between number theory, cryptography, and quantum computing. Some topics I am interested in are the use of deep number theoretic objects to create quantum resistant cryptosystems, hash functions, and pseudorandom number generators.

In Medicine :

I am mostly interested in the applications of artificial intelligence, quantum computing, and geometry to neurology and genetics. At the moment, I am working under the supervision of Professor Stephanie Zandee and Professor Alexandre Prat on Multiple Sclerosis. My work consists of developing new deep learning architecture using tools from differential geometry, geometric analysis, and time series analysis for the forecasting of the EDSS score.

List of publications

M. Amir, W. Buchanan, R. Chow, A. Jeschke, M. Lemoudden, E. Sultanow, M. Tehrani, "Enabling quantum cybersecurity analytics in botnet detection: Stable architecture and speed-up through tree algorithms", arXiv. Accepted for publication in Scientific Reports - Nature.
M. Amir, A. Hatziiliou, E. Sultanow, "Dual linear programming bounds in any dimensions using modular forms of integral and half‑integral weight", in preparation.
M. Amir, A. Hatziiliou, E. Sultanow, "The data science of elliptic curves of prime conductor", in preparation. To be presented at the Data, Numbers, and Geometry workshop at the London Institute for Mathematical Sciences.
M. Amir, C. Bauckhage, A. Chircu, C. Czarnecki, C. Knopf, N. Piatkowski, E. Sultanow, "What can we expect from quantum (digital) twins ?", 17th International Conference on Wirtschaftsinformatik, February 2022, Nürnberg, Germany .
M. Amir, Y‑H. He, K‑H. Lee, T. Oliver, E. Sultanow, "Machine learning class numbers of real quadratic fields", arXiv, to be published in the International Journal of Data Science in the Mathematical Sciences, to be featured in a poster presentation at the EuroSciPy 2023 conference.
M. Amir, "The K‑moment problem for compact semi‑algebraic sets and non negative polynomials : a quick survey", ResearchGate.
M. Amir, A. Hatziiliou, "A short note on inadmissible coefficients of weight 2 and 2𝑘 + 1 newforms", arXiv, published in the Annales Mathématiques du Québec, Springer. This article is featured in the ZB Math surveys.
M. Amir and L. Hong, "On L‑functions of modular elliptic curves and certain K3 surfaces", published in The Ramanujan Journal, Springer. This article is featured in the ZB Math surveys.
M. Amir, "On traces of singular moduli", arXiv.
M. Amir, A. Vallières, "Trajectories of two identical particles in a constant magnetic field subject to non‑coulomb potentials", McGill Journal of Undergraduate Mathematics, issue of September 2018, arXiv.

Join me on a project !

I am always looking for collaborators - Science is much more enjoyable in group ! Don't hesitate to contact me at malik(dot)my_last_name(dot)math@gmail.com.

Other resources

My google scholar webpage : Malik Amir

My LinkedIn profil : Malik Amir