Tere M-Seara is a full professor at the Dpt. de matemàtiques of the Universitat Politècnica de Catalunya. She is the leader of the UPC Dynamical Systems group, formed by more than 20 researchers working on theoretical and computer aspects of finite and infinite Dynamical Systems, with a focus on Celestial Mechanics and Mathematical Neuroscience. She has supervised 10 PhD. students. In 2015, she received the first Barcelona Dynamical Systems Prize and in the fall of 2018, she held an Eisenbud Professorship (Simons Foundation) at MSRI (U. Berkeley). She is a fellow of the Sciences Division of the Institut d'Estudis Catalans.

She belongs to the editorial board of Nonlinearity, JDDE, NOdea and has published about 70 papers including articles in the journals: Adv. Math., CMP, CPAM, Inv. Math, JDE, JEMS, JNLS, Memoirs of the A.M.S.

Tere M-Seara works in Dynamical Systems, in analytical tools to study their global dynamics.
Her works developed two tools which have been widely used in the area of Arnold Diffusion: the study of normally hyperbolic invariant manifolds and the theory of the "scattering map".

She also works in a rigorous approach to singular perturbation theory: developing methods which allow to measure of exponentially small phenomena which are relevant in the study of the global dynamics of a system like the exponentially small splitting of separatrices, one of the main phenomena producing chaos.

Personal website

• Dynamical Systems
• Hamiltonian systems
• Singular perturbation theory
• Nonsmooth systems
• Mathematical neuroscience

Invariant Manifolds, Hamiltonian Systems and Dynamics in Neuroscience, Epidemiology and Atmosphere IMHNEA): PID2021-122954NB-I00, 2022-2025, PI: T. M-Seara, I. Baldomá. 338.800,00 €

Dinámica, Atractores, no Nolinealidad: Caos y Estabilidad: RED2022-134273-T, 2023-2025, PI: J. Torregrossa. 24.000 €

M. Aguarteles, I. Baldomá, T. M-Seara. A rigorous derivation of the asymptotic wavenumber of spiral wave solutions of the complex Ginzburg-Landau equation. JEMS 2025

M. Gidea, R. Llave, T. M-Seara. A General Mechanism of Diffusion in Hamiltonian Systems: Qualitative Results. Communications on pure and applied mathematics, 73 (1): 110-149, 2020
DOI: 10.1002/cpa.21856

A. Deslhams, V. Kaloshin, A. de la Rosa, T. M-Seara. Global Instability in the Restricted Planar Elliptic Three Body Problem. Communications in Mathematical Physics 366(3):1173-1228, 2019
DOI:10.1007/s00220-018-3248-z

A. Delshams, R. de la Llave, T.M. Seara. Instability of high dimensional Hamiltonian Systems: Multiple resonances do not impede diffusion. Adv. Math. 294, 689-755, 2016.
doi:10.1016/j.aim.2015.11.010 , 2016.

M. Guárdia, P. Martín, T. M. Seara. Oscillatory motions for the restricted planar circular three body problem. Inventiones Mathematicae. 203, 417-492, 2016.
DOI: 10.1007/s00222-015-0591-y, 2015.