Carlos Matheus Silva Santos (born May 1, 1984 in Aracaju) is a Brazilian mathematician working in dynamical systems, analysis and geometry. He is research director at the CNRS, in Paris.Carlos Matheus' homepage at École polytechnique
He earned his Ph.D. from the Instituto de Matemática Pura e Aplicada (IMPA) in 2004 under the supervision of Marcelo Viana, at the age of 19.Veja – Um sergipano de 19 anos é o mais jovem doutor em matemática do país (by Jerônimo Teixeira, in Portuguese)
Selected publications
Papers
with G. Forni, and A. Zorich: "Square-tiled cyclic covers", Journal of Modern Dynamics, vol. 5, no. 2, pp. 285–318 (2011). with A. Avila, and J.-C. Yoccoz: "SL(2,R)-invariant probability measures on the moduli spaces of translation surfaces are regular", Geometric and Functional Analysis, vol. 23, no. 6, pp. 1705–1729 (2013). with M. Möller, and J.-C. Yoccoz: "A criterion for the simplicity of the Lyapunov spectrum of square-tiled surfaces", Inventiones mathematicae (2014). With A. Arbieto: "A pasting lemma and some applications for conservative systems". Ergodic Theory and Dynamical Systems, 27(5), 1399–1417 (2007).
Books 2007: Joint with A. Arbieto and C. G. Moreira, Aspectos Ergódicos da Teoria dos Números (in Portuguese) ISBN 978-85-244-0250-0 2009: Joint with A. Arbieto and C. G. Moreira, The remarkable effectiveness of ergodic theory in number theory 2018: Dynamical Aspects of Teichmüller Theory ISBN 978-3-319-92158-7 2020: Joint with D. Lima, C. G. Moreira and S. Romaña, Classical and Dynamical Lagrange and Markov spectra ISBN 978-981-12-2528-4
Further reading Época – Os segredos das ilhas de excelência (by Carlos Rydlewski, in Portuguese)
References
External links Matheus' home-page at the CNRS Matheus' home-page at the IMPA Matheus' personal blog "Disquisitiones Mathematicae"