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Research interests:
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Algebraic singularities.
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Motivic integration.
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Cryptography.
Main recent
publications:
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E. Artal, P. Cassou-Nogučs, I.
Luengo and A. Melle-Hernández: On the log-canonical threshold
for germs of plane curves, Singularities I, 1-14, Contemp. Math.,
474, Amer. Math. Soc., Providence, RI, 2008.
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S.M. Gusein-Zade, I. Luengo and A.
Melle-Hernández: An equivariant version of the monodromy zeta
function, Geometry, topology, and mathematical physics,
139-146, Amer. Math. Soc. Transl. Ser. 2, 224, Amer. Math. Soc.,
Providence, RI, 2008.
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J. Fernández de Bobadilla, I. Luengo, A. Melle Hernández
and A. Némethi, On rational cuspidal
plane curves, open surfaces and local singularities, Singularity theory, World Sci. Publ., Hackensack, NJ, 411-442.
2007.
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J. Fernández de Bobadilla, I. Luengo
Velasco, A. Melle Hernández and A. Némethi, Classification of
rational unicuspidal projective curves whose singularities have
one Puiseux pair, Real and complex singularities, Trends Math.,
Birkhäuser, Basel, 31-45. 2007.
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S. Gusein Zade, I. Luengo Velasco and A. Melle
Hernández: On the power structure over the Grothendieck ring of
varieties and its applications, Tr. Mat. Inst. Steklova 258, nş.
Anal. i Osob. Ch. 1, 58-69. 2007.
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