Matt Olechnowicz
Hello! I am a postdoctoral fellow at the University of Cambridge
working with Holly Krieger.
Previously I was a postdoc at Concordia University
working with Carlo Pagano.
I obtained my PhD from the University of Toronto in 2023
with a thesis
supervised by Patrick Ingram.
Contact
| office: | E0-02 |
| email: | mo620 at cam dot ac dot uk |
Research
I am interested in arithmetic dynamics,
a field lying at the intersection of number theory, dynamical systems, and algebraic geometry.
Here are my papers.
- “Dynamically improper hypersurfaces for endomorphisms of projective space” in Proceedings of the American Mathematical Society, Series B 10 (2023), pp. 311–325 [link]
- “On the number of endofunctions” in Notes from the Margin XVI (2024), pp. 3–5 [link]
- “Distribution of preperiodic points in one-parameter families of rational maps” in Transactions of the American Mathematical Society 379 (2026), pp. 4045–4088 [link] [arXiv]
- “Heights and morphisms in number fields” (82 pages) [arXiv]
- “Merging Beatty sequences” (with Jonathan Love) (20 pages) [in preparation]
- “Critical loci of self-maps of projective space” (with Max Weinreich) [arXiv]
And here are some portraits of cubics.
Courses
- Applied Ordinary Differential Equations (ENGR 213, Winter 2026)
- Vectors and Matrices (MATH 204, Winter 2024)
- Ordinary Differential Equations (MAT244, Fall 2022)
- Groups and Symmetries (MAT301, Summer 2020)
- Calculus 1(B) (MAT136, Summer 2019)
