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Research interests:
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Arithmetic, geometric and topological problems of hyperbolic
crystalographic groups.
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Character varieties of knots and 3-manifolds.
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Universal Knots.
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Branched Coverings.
Main recent
publications:
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J.M. Montesinos, “Open 3-manifolds and
branched coverings: a quick exposition”, Rev. Colomb. Mat. 41
(2007) 2, 287-302.
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Montesinos-Amilibia, J.M., “Around the
Borromean link”, RACSAM Rev. R. Acad. Cienc. Exactas Fís. Nat.
Ser. A Mat. 102 (2008), no. 1, 75--87.
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Montesinos Amibilia, J.M, Hilden, H.M., y
Lozano, M.T. , “ On 2-universal knots”,
(Bol.Soc.Mat.Mexicana 2008)
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Montesinos Amibilia, J.M, Brumfield. G.
Hilden H. y Lozano, M.T., “Three manifolds as geometric branched
coverings of the three sphere”.
Bol.Soc.Mat.Mexicana
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Montesinos Amibilia, J.M, Brumfield, Hilden
H., Lozano, M.T., Ramírez-Losada, E., Short, H., Tejada, D. y
Toro, D., “On finite index subgroups of a universal group”.
Bol.Soc.Mat.Mexicana.
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