# Carlos Matheus

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{{Short description|Brazilian mathematician}}

thumb|170px|Carlos Matheus

'''Carlos Matheus Silva Santos''' (born May 1, 1984 in [Aracaju](/source/Aracaju)) is a Brazilian mathematician working in [dynamical system](/source/dynamical_system)s, [analysis](/source/Mathematical_analysis) and [geometry](/source/geometry). He is [research director](/source/Academic_ranks_in_France) at the [CNRS](/source/Centre_national_de_la_recherche_scientifique), in [Paris](/source/Paris).<ref name="homepage">[http://carlos.matheus.perso.math.cnrs.fr Carlos Matheus' homepage] at [École polytechnique](/source/%C3%89cole_polytechnique)</ref>

He earned his Ph.D. from the [Instituto de Matemática Pura e Aplicada](/source/Instituto_Nacional_de_Matem%C3%A1tica_Pura_e_Aplicada) (IMPA) in 2004 under the supervision of [Marcelo Viana](/source/Marcelo_Viana),<ref>{{mathgenealogy|id=80140}}</ref> at the age of 19.<ref>[Veja](/source/Veja_(magazine)) – [https://web.archive.org/web/20071121010457/http://veja.abril.com.br/280404/p_078.html Um sergipano de 19 anos é o mais jovem doutor em matemática do país] (by Jerônimo Teixeira, in Portuguese)</ref><ref>{{Cite web|url=https://www.estadao.com.br/link/sergipano-de-19-anos-e-o-mais-novo-doutor-do-impa/|title=Sergipano de 19 anos é o mais novo doutor do Impa|website=Estadão|language=pt-br}}</ref><ref>{{Cite web|url=https://www1.folha.uol.com.br/fsp/ciencia/fe1704200403.htm|title=Folha de S.Paulo - Pura matemática: Doutor de 19 anos ainda precisa concluir seu curso de graduação - 17/04/2004|website=www1.folha.uol.com.br|language=pt-br}}</ref>

== Selected publications ==

=== Papers ===

*with [G. Forni](/source/Giovanni_Forni_(mathematician)), and [A. Zorich](/source/Anton_Zorich): "Square-tiled cyclic covers", ''[Journal of Modern Dynamics](/source/Journal_of_Modern_Dynamics)'', vol. 5, no. 2,  pp.&nbsp;285–318 (2011).
*with [A. Avila](/source/Artur_Avila), and  [J.-C. Yoccoz](/source/Jean-Christophe_Yoccoz): "SL(2,R)-invariant probability measures on the moduli spaces of translation surfaces are regular", ''[Geometric and Functional Analysis](/source/Geometric_and_Functional_Analysis)'', vol. 23, no. 6, pp.&nbsp;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](/source/Inventiones_mathematicae)'' (2014).
* With A. Arbieto: "A pasting lemma and some applications for conservative systems". ''[Ergodic Theory and Dynamical Systems](/source/Ergodic_Theory_and_Dynamical_Systems)'', 27(5), 1399–1417 (2007).

=== Books ===
*2007: Joint with A. Arbieto and C. G. Moreira, ''[https://impa.br/wp-content/uploads/2017/04/PM_34.pdf 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](/source/%C3%89poca_(Brazilian_magazine)) – [https://epocanegocios.globo.com/Informacao/Visao/noticia/2014/05/os-segredos-das-ilhas-de-excelencia.html Os segredos das ilhas de excelência] (by Carlos Rydlewski, in Portuguese)

== References ==
{{reflist}}

== External links ==
* [http://carlos.matheus.perso.math.cnrs.fr/ Matheus' home-page at the CNRS]
* [http://w3.impa.br/~cmateus/index2.html Matheus' home-page at the IMPA]
* [https://matheuscmss.wordpress.com Matheus' personal blog "Disquisitiones Mathematicae"]

{{authority control}}

{{DEFAULTSORT:Matheus, Carlos}}
Category:Brazilian mathematicians
Category:1984 births
Category:Living people
Category:People from Aracaju
Category:Dynamical systems theorists
Category:Mathematical analysts
Category:Geometers
Category:Instituto Nacional de Matemática Pura e Aplicada alumni
Category:Brazilian expatriate academics
Category:Brazilian bloggers
Category:21st-century mathematicians

{{Brazil-academic-bio-stub}}

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Adapted from the Wikipedia article [Carlos Matheus](https://en.wikipedia.org/wiki/Carlos_Matheus) by Wikipedia contributors ([contributor history](https://en.wikipedia.org/wiki/Carlos_Matheus?action=history)). Available under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/). Changes may have been made.