Matt Olechnowicz
Hello! I am a postdoctoral fellow 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: |
LB901.18 |
| phone: |
+1 (514) 848-2424 x 3223 |
| email: |
firstname dot lastname at concordia dot ca |
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” to appear in Transactions of the American Mathematical Society (43 pages) [arXiv]
- “Heights and morphisms in number fields” (82 pages) [arXiv]
- “Merging Beatty sequences” (with Jonathan Love) (20 pages) [in preparation]
And here are some portraits of cubics.
Teaching
- 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)