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. A combinatorial analog of a theorem of F. J. Dyson, Topology and its Applications, 157 (2010), 1833-1838. (with P. Jayawant)
2. Equivariant Nielsen root theory for G-maps, Topology and its Applications, 157 (2010), 1839-1848. (with H. dos Santos)
3. Twisted conjugacy for virtually cyclic groups and crystallographic groups, 119-147, in: Combinatorial and Geometric Group Theory, Trends in Mathematics, Birkhaüser, 2010. (with. D. Gonçalves)
4. James construction, Fox torus homotopy groups, and Hopf invariants, 123-132, in: Proceedings of Oberwolfach workshop “Homotopy theory of function spaces and related topics”, Contemp. Math. 519 AMS, 2010. (with M. Golasin´ski and D. Gonçalves)
5. Combinatorial and geometric group theoretic methods in fixed point theory, in: Perspectives in Geometry and Topology, Lecture Notes Series 11, Ramanujan Mathematical Society, 2010, pp. 101-132.
6. Fox homotopy groups, Gottlieb groups, Rhodes groups, and generalized Whitehead products, in: Perspectives in Geometry and Topology, Lecture Notes Series 11, Ramanujan Mathematical Society, 2010, pp. 93-99.
7. A relationship between twisted conjugacy classes and the geometric invariants Ω^n, Geometriae Dedicata, 151 (2011), 233-243. (with N. Koban)
8. The geometry of twisted conjugacy classes in wreath products, 561-587, in: Geometry, Rigidity, and Group Actions, Chicago Lectures in Mathematics, University of Chicago Press, 2011. (with J. Taback)

Preprints

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

2. Twisted conjugacy classes for polyfree groups, arXiv:0802.2937, preprint. (with A. Fel’shtyn and D. Gonçalves)

3. Automorphisms of the two dimensional crystallographic groups, preprint. (with. D. Gonçalves)

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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