Research Interests:

Algebraic topology, topological fixed point theory, low dimensional topology, nonlinear analysis, geometric group theory

Recent Publication (For earlier published works, see Math Reviews)

  1. On the group structure of [J(X), \Omega(Y)], J. Homotopy Relat. Struct. 12 (2017), no. 3, 707–726. (with M. Golasin´ski and D. Gonçalves)
  2. Fixed point sets of equivariant fiber-preserving maps, ( Bull. Belgium Math. Soc. Simon Stevin 24 (2017), 641-655. (with R. Souza)
  3. Mapping degrees between spherical 3-manifolds ( Mat. Sb., (Russian) 208 (2017), no. 10, 34–58; Sbornik Mat. 208 (2017), no. 10, 1449 - 1472. (with. D. Gonçalves and X. Zhao)
  4. A note on nontrivial intersection for selfmaps of complex Grassmann manifolds, ( Bull. Belgium Math. Soc.Simon Stevin 24 (2017), 665-672. (with T. Monis, N. Penteado, S. Ura)
  5. Obstruction theory for coincidences of multiple maps ( Topology and its Applications 229 (2017), 213-225. (with T. Monis)
  6. Coincidence Wecken property for nilmanifolds (, Acta Math. Sinica, (English Ser.) 35 (2019), 239-244. (with. D. Gonçalves)
  7. Exponents of [\Omega (S^{r+1}), \Omega (Y)]. ( In: Singh M., Song Y., Wu J. (eds) Algebraic Topology and Related Topics. Trends in Mathematics. Birkhäuser, Singapore. First Online 03 February 2019. DOI (with M. Golasin´ski and D. Gonçalves)


1.   A note on twisted conjugacy and generalized Baumslag-Solitar groups, arXiv:math.GR/0606284, preprint. (with J. Taback)


Other Publication

  • Fixed Point Theory, Lecture Notes, Mini-Course, XIV Brazilian Topology Meeting, July 26 - 30, 2004. (54 pages) (in Portugese)
  • On Whitehead products, Fox groups, Gottlieb groups, and Rhodes groups, in: (ed. M. H. Woo) Proceedings of the International Conference on Homotopy Theory and Related Topics, Seoul (February 1-4, 2005), 99-107, Korea University, 2005. (with M. Golasin´ski and D. Gonçalves)
  • Lectures on Fixed Point Theory, Lecture Notes, Mini-Course, XV Brazilian Topology Meeting, July 10 - 14, 2006. (43 pages)
  • Combinatorial and Geometric Group Theoretic Methods in Fixed Point Theory, Lecture Notes, International Workshop in Geometry and Topology, Indian Institute of Technology, Mumbai, India, August 17 - 26, 2007. (48 pages)
  • Introduction to Fixed Point Theory, Lecture Notes, Fourth Encontro Internacional dos Alunos de Graduação do Instituto de Matemática e Estatística (4thEIAGIME), Univ. São Paulo, Brazil, August 29 – Sept. 2, 2011. (64 pages)