Álvaro Fernández-Mora

I am a PhD student in dynamical systems at Universitat de Barcelona. My research interests lie in KAM theory, Hamiltonian dynamics, symplectic techniques in dynamical systems, computer-assisted proofs, and celestial mechanics.

Publications and preprints

• Á. Fernández-Mora, À. Haro, and J. M. Mondelo, “On the convergence of flow map parameterization methods in Hamiltonian systems,” 2024, submitted. arXiv:2411.11772 [math.DS].
• Á. Fernández-Mora, À. Haro, and J. M. Mondelo, “Flow map parameterization methods for invariant tori in quasi-periodic Hamiltonian systems,” SIAM Journal on Applied Dynamical Systems, vol. 23, no. 1, pp. 127–166, 2024. doi:10.1137/23M1561257. eprint: https://arxiv.org/abs/2212.00412.

Conferences

• RSME’s 7th Congress of Young Researchers, Bilbao, Spain. Parallel session invited talk: Invariant Tori in Hamiltonian Systems. 01/2025.
• Workshop Computer-Assisted Proofs in Nonlinear Analysis, Montreal, Canada. Short talk: Partly Hyperbolic Tori in Quasi-Periodic Hamiltonian Systems. 09/2024.
• PiotrFest, Krakow, Poland. Contributed talk: A-Posteriori Flow Map KAM Theorem for Partly Hyperbolic Tori in Hamiltonian Systems. 06/2024.
• Sessions in Celestial Mechanics, Girona, Spain. Contributed talk: Invariant Tori in Quasi-Periodic Hamiltonian Systems. 06/2024.
• Equadiff, Karlstad, Sweden. Contributed talk: Existence of Partly Hyperbolic Invariant Tori in Hamiltonian Systems: an a-Posteriory Approach. 06/2024.
• NoLineal, Barcelona, Spain. Contributed talk: Flow Map Parameterization Methods for Whiskered Tori in Time-Dependent Hamiltonian Systems. 06/2023.
• SIAM Conference on Applications of Dynamical Systems, Portland, USA. Poster: Flow Map Parameterization Method for Whiskered Tori in Quasi-Periodic Hamiltonian Systems. 05/2023.
• Recent Trends in NonLinear Science, Madrid, Spain. Contributed talk: Flow Map Parameterization Method for Whiskered Tori in Quasi-Periodic Hamiltonian Systems. 01/2023.

Teaching

• Elements of programming (2023-2025). Faculty of Mathematics and Computer Science, Universitat de Barcelona
• Mathematical models and dynamical systems (2023-2024). Faculty of Mathematics and Computer Science, Universitat de Barcelona