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. Twisted conjugacy and quasi-isometry invariance for generalized solvable Baumslag-Solitar groups, Journal London Mathematical Society (2), 75 (2007), 705-717. (with J. Taback)
2. Equivariant evaluation subgroups and Rhodes groups, Cahiers de Topologie et Géométrie Différentielle Catégoriques, 48, no.1 (2007), 55-69. (with M. Golasin´ski and D. Gonçalves)
3. On Fox spaces and Jacobi identities, Math. J. Okayama Univ., 50 (2008), 161-176. (with M. Golasin´ski and D. Gonçalves)
4. Jiang-type theorems for coincidences of maps into homogeneous spaces, Topological Methods in Nonlinear Analysis, 31 (2008), 151-160. (with D. Vendruscolo)
5. A note on generalized equivariant homotopy groups, in Postnikov Conference Proceedings, Banach Center Publ., 85 (2009), 179-185. (with M. Golasin´ski and D. Gonçalves)
6. Twisted conjugacy classes in nilpotent groups, arXiv:0706.3425, J. Reine Angew. Math., 633 (2009), 11-27. (with. D. Gonçalves)
7. Equivariant path fields on topological manifolds, arXiv:0706.4097, Topological Methods in Nonlinear Analysis, 33 (2009), 1-15. (with. L. Borsari and F. Cardona)

Preprints

8. A combinatorial analog of a theorem of F. J. Dyson, arXiv:math/0608204v3, J. Fixed Point Theory Appl., to appear. (with P. Jayawant)
9. A note on twisted conjugacy and generalized Baumslag-Solitar groups, arXiv:math.GR/0606284, preprint. (with J. Taback)
10. Combinatorial and geometric group theoretic methods in fixed point theory, to appear in: Proceedings of the Golden Jubilee meeting on Geometry and Topology, IIT Bombay, India, 2007, Lecture Notes Series, Ramanujan Mathematical Society.
11. Twisted conjugacy classes for polyfree groups, arXiv:0802.2937, preprint. (with A. Fel’shtyn and D. Gonçalves)
12. The geometry of twisted conjugacy classes in wreath products, arXiv:0805.1371, to appear in: Geometry, Rigidity and Group Actions, University of Chicago Press. (with J. Taback)
13. Twisted conjugacy for virtually cyclic groups and crystallographic groups, to appear in: Combinatorial and Geometric Group Theory, Trends in Mathematics, Birkhaüser, 2009. (with. D. Gonçalves)
14. James construction, Fox torus homotopy groups, and Hopf invariants, to appear in: Proceedings of Oberwolfach workshop “Homotopy theory of function spaces and related topics”, Contemp. Math. AMS. (with M. Golasin´ski and D. Gonçalves)
15. Equivariant Nielsen root theory for G-maps, J. Fixed Point Theory Appl., to appear. (with H. dos Santos)
16. Automorphisms of the two dimensional crystallographic groups, preprint. (with. D. Gonçalves)
17. A relationship between twisted conjugacy classes and the geometric invariants Ω^n, arXiv:0911.3385v1, preprint. (with N. Koban)

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)

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