CHRISTIAN CAMILO SILVA VILLAMIL
Research interest:
Dynamical systems and Ergodic theory
Education:
PhD Instituto de Matematica Pura e Aplicada (IMPA) March 2023
Thesis title: Continuity of fractal dimensions in the Markov and Lagrange spectra. Advisor: Carlos Gustavo Moreira
MSc Instituto de Matematica Pura e Aplicada (IMPA) March 2019
Advisor: Carlos Gustavo Moreira
BSc Universidad Nacional de Colombia December 2016
GRANTS, AWARDS AND HONORS:
• CNPq, Full scholarship for Master’s degree studies (2017)
• Scholarship Universidad Nacional de Colombia (2011-2016)
• Honor degree Universidad Nacional de Colombia (2016)
• 10 Matrıculas de Honor, Universidad Nacional de Colombia (2012-2016)
• CNPq, Full scholarship for doctoral degree studies (2019)
• Scholarship for research visit in France -Viana’s Louis D. prize-(2023)
Publications：
• C. Villamil. On the discontinuities of Hausdorff dimension in generic dynamical Lagrange spectrum. To appear.
• C.G. Moreira, C. Villamil and D. Lima. Continuity of fractal dimensions in conservative generic Markov and
Lagrange dynamical spectra. To appear.
• C.G. Moreira and C. Villamil. Concentration of dimension in extremal points of left-half lines in the Lagrange
spectrum. To appear.