Frank Trujillo

Universität Zürich

frank.trujillo at math.uzh.ch

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I am a postdoctoral researcher at Universität Zürich under the supervision of Corinna Ulcigrai, Professor at Universität Zürich.

I completed a PhD in Mathematics at the IMJ-PRG, Université de Paris, under the joint supervision of Hakan Eliasson, Professor at the Université de Paris, and Bassam Fayad, CNRS Senior Research Scientist at the IMJ-PRG and Professor at the University of Maryland.

Background

  • Since September 2020: Posdoctoral researcher at Universität Zürich.
  • 2018-2020: Temporary teacher and researcher (ATER in French) at Université de Paris.
  • 2016-2020: PhD in Mathematics at IMJ-PRG, Université de Paris.
  • 2013-2015: Master in Mathematics at IMPA (Instituto de Matemática Pura e Aplicada).
  • 2009-2012: Bachelor in Mathematics at Universidad Nacional de Colombia.
You can find a detailed version of my CV here.

Research


My research focuses on Dynamical Systems, particularly in Hamiltonian Dynamics, KAM Theory, Circle Maps and Interval Exchange Transformations.


Publications

2.
Trujillo, F. Hausdorff Dimension of Invariant Measures of Multicritical Circle Maps. Ann. Henri Poincaré 21, 2861–2875 (2020).
3.
Trujillo, F. Uniqueness properties of the KAM curve. Discrete & Continuous Dynamical Systems 41, 5165 (2021).
5.
Trujillo, F. Smooth, mixing transformations with loosely Bernoulli Cartesian square. Ergodic Theory and Dynamical Systems 42, 1252–1283 (2022).

Preprints

1.
Trujillo, F. Lyapunov unstable elliptic equilibria for Hamiltonians with two degrees of freedom. arXiv:1912.12851 [math] (2019).
4.
Trujillo, F. Surviving Lower Dimensional Invariant Tori of a Resonant Torus with any Number of Resonances. arXiv:2109.10064 [math] (2021).

Recent Talks

Teaching


Contact


Institut für Mathematik
Universität Zürich
Winterthurerstrasse 190
CH-8057 Zürich
frank.trujillo at math.uzh.ch

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