Julio Rebelo


Assistant Professor


Departmento de Matematica
Pontificia Universidade Catolica do Rio de Janeiro
Rua Marques de Sao Vicente, 225
Edifício Cardeal Leme, sala 862
Gavea, Rio de Janeiro, Brasil
CEP: 22453-900
Telefone: (55+21) 3114-1279
Fax: (55+21) 3114-1282
jrebelo@mat.puc-rio.br
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Research Interests


  • Complex Dynamics

  • Foliations

    Curriculum Vitae


  • CV in French
  • CV in English

    Publication List

    Preprints


  • On closed currents invariant by holomorphic foliations, Part I

  • The structure of the singularities of holomorphic flows in dimension 3, I

  • On the Burnside problem in Diff (M)

    Published Papers


  • Complete algebraic vector fields on affine surfaces. II. J. Differential Equations 216 (2005), no. 1, 32--77.

  • Vertical vector fields on certain complex fibrations. J. Math. Sci. Univ. Tokyo 11 (2004), no. 3, 177--243.

  • On the dynamics of generic non-abelian free actions. Bull. Braz. Math. Soc. (N.S.) 35 (2004), no. 2, 211--251.

  • Subgroups of ${\rm Diff}\sp \infty\sb +(\Bbb S\sp 1)$ acting transitively on 4-tuples. Trans. Amer. Math. Soc. 356 (2004), no. 11, 4543--4557 (electronic).

  • Meromorphic vector fields and elliptic fibrations. Michigan Math. J. 52 (2004), no. 1, 33--59.

  • Complete algebraic vector fields on affine surfaces. I. J. Geom. Anal. 13 (2003), no. 4, 669--696.

  • (with Silva, R R.) The multiple ergodicity of nondiscrete subgroups of ${\rm Diff}\sp \omega(S\sp 1)$. Mosc. Math. J. 3 (2003), no. 1, 123--171, 259.

  • (with Loray, F.) Minimal, rigid foliations by curves on $\Bbb C\Bbb P\sp n$. J. Eur. Math. Soc. (JEMS) 5 (2003), no. 2, 147--201.

  • A theorem of measurable rigidity in ${\rm Diff}\sp \omega({\Bbb S}\sp 1)$. Ergodic Theory Dynam. Systems 21 (2001), no. 5, 1525--1561.

  • Réalisation de germes de feuilletages holomorphes par des champs semi-complets en dimension 2. (French) [Realization of germs of holomorphic foliations by semicomplete fields in dimension 2] Ann. Fac. Sci. Toulouse Math. (6) 9 (2000), no. 4, 735--763.

  • Erratum: "Complete fields with non-isolated singularities on complex surfaces" [Bol. Soc. Mat. Mexicana (3) 5 (1999), no. 2, 359--395; MR1738417 (2001b:32064)]. (French) Bol. Soc. Mat. Mexicana (3) 6 (2000), no. 2, 279--280.

  • On nilpotent groups of real analytic diffeomorphisms of the torus. C. R. Acad. Sci. Paris Sér. I Math. 331 (2000), no. 4, 317--322.

  • (with Ghys, E.) Erratum: "Singularities of holomorphic flows. II." [Ann. Inst. Fourier (Grenoble) 47 (1997), no. 4, 1117--1174; MR1488247 (99a:32059)]. (French) Ann. Inst. Fourier (Grenoble) 50 (2000), no. 3, 1019--1020.

  • Champs complets avec singularités non isolées sur les surfaces complexes. (French) [Complete fields with nonisolated singularities on complex surfaces] Bol. Soc. Mat. Mexicana (3) 5 (1999), no. 2, 359--395.

  • Ergodicity and rigidity for certain subgroups of ${\rm Diff}\sp \omega(S\sp 1)$. Ann. Sci. École Norm. Sup. (4) 32 (1999), no. 4, 433--453.

  • (with Ghys, E.) Singularités des flots holomorphes. II. (French) [Singularities of holomorphic flows. II] Ann. Inst. Fourier (Grenoble) 47 (1997), no. 4, 1117--1174.

  • Singularités des flots holomorphes. (French) [Singularities of holomorphic flows] Ann. Inst. Fourier (Grenoble) 46 (1996), no. 2, 411--428.

    Other Manuscripts


  • Habilitation a diriger recherches (in French)

  • Introduction to PDEs , Lecture Notes by Gisela Marino (in Portuguese)

  • Here is an outdated and incomplete version of the lecture notes of a course on holomorphic foliations I taught at Stony Brook in 2002. These notes are currently been revised and expanded. Complex ODEs

    Links


  • PUC-Rio

  • Mathematics Department of PUC-Rio

  • Arxiv

  • Mathscinet

  • Jstor


    Last modified: April 7th, 2006 (under construction)