mail: hatz [at] alum [dot] ubc [dot] ca

academic cv | github | work cv


About Me

I completed my B.Sc at McGill University in Mathematics and Computer Science and my M.Sc at the University of British Columbia where my research focused in Analytic and Computational Number Theory. I am interested in applying techniques from Machine Learning to problems of Number Theory as well as studying the representations and semantics of written mathematics in language models.


Publications & Preprints

  • On admissible fourier coefficients of modular forms of weight 2 and 2k+1. Annales Mathematiques du Quebec, 2021. PDF
  • Elliptic curves of prime conductor - an exploration of conjecture, data and bias. Masters Thesis, 2023. PDF
  • On the Machine Learning of the ranks of Elliptic curves, 2024. With Malik Amir and Eldar Sultanow.
  • A quest for 5 dimensional Calabi-Yau Manifolds using Genetic Algorithms, 2024. With Malik Amir, Alex Rahn and Eldar Sultanow.
  • Dual Linear Programming Bounds and Modular Forms (in progress).

Other Writings

  • Modular Forms of Half-Integral Weight and the Congruent Number Problem. PDF
  • A review of Hecke Theory. PDF
  • The E8 Lattice, Error correcting code, string theory and everything in between. PDF
  • On the problems of Polya and Turan. PDF
  • General Theory of Mellin Transforms. PDF