PhD Candidate | Mathematics

Hi, I’m William Stephenson.

PhD candidate at the University of Ottawa researching stochastic partial differential equations.

About

Bio

My research interests are in probability, differential equations, stochastic processes and combinatorics. Currently, under the supervision of Prof. Raluca Balan, I am studying partial differential equations perturbed by Lévy random noise. Previous to this, during my Masters, I worked on Hamilton decompositions of Cayley graphs with Prof. Barbara Maenhaut.

Engagement

  • Teaching assistant at the University of Queensland's Queensland Mathematics Summer School. (2019)
  • Mentored two undergraduate students on SPDEs for the University of Ottawa's Math Mentorship Program. (2025)
  • Guest speaker at the Finger Lakes Probability Seminar, Syracuse University. (2026)

Education

  • Doctor of Philosophy in Mathematics and Statistics,
    University of Ottawa. (2024 - Present)
  • Master of Science in pure mathematics,
    University of Queensland. (2022-2023)
    Thesis: A linear algebra approach to Hamilton decompositions of infinite circulant graphs.
  • Bachelor of Mathematics in pure mathematics,
    Minor in computer science, University of Queensland.
    (2018-2021)

Publications

  1. Gaussian fluctuations for hyperbolic Anderson model with Lévy colored noise

    with Raluca Balan (2026)

    arXiv

    Preprint

  2. Almost sure CLT for hyperbolic Anderson model with Lévy colored noise

    with Raluca Balan and Hanniel Kouamé (2026)

    In preparation

Contact

Details

  • Email: wstephen (at) uottawa (dot) ca
  • Office: STM 546