I am currently a postdoctoral fellow at the Department of Mathematics of the University of Toronto.
You can reach me at valentin[dot]huguin[at]utoronto[dot]ca.
Here is my curriculum vitae.
Research
My research focuses on holomorphic, algebraic and arithmetic dynamics.
Articles
Please note that the files linked below may differ from the published versions. If you have trouble accessing them, feel free to email me.
- Moduli spaces of polynomial maps and multipliers at small cycles, Preprint, arXiv:2412.19335.
- Entire maps with rational preperiodic points and multipliers (with X. Buff and I. Gorbovickis), To appear in Ergodic Theory and Dynamical Systems, arXiv:2304.13674.
- Entire or rational maps with integer multipliers (with X. Buff, T. Gauthier and J. Raissy), To appear in the proceedings of the Simons Symposia on Algebraic, Complex, and Arithmetic Dynamics, arXiv:2212.03661.
- Rational maps with rational multipliers, J. Éc. polytech. Math. 10 (2023), 591–599.
- Quadratic rational maps with integer multipliers, Math. Z. 302 (2022), no. 2, 949–969.
- Unicritical polynomial maps with rational multipliers, Conform. Geom. Dyn. 25 (2021), 79–87.
- Simultaneously preperiodic integers for quadratic polynomials, New York J. Math. 27 (2021), 363–378.
Other works
- Étude algébrique des points périodiques et des multiplicateurs d'une fraction rationnelle (in French), Ph.D. thesis, 2021.