Associate investigator(with 7other) for the project MTM2015-65430, 2016-2019; funded by the Ministry of Science and Innovation, Spain.

Associate Investigator(with 7 other) for the project GERM 19901/GERM/15, 20162018; funded by Fundación Séneca, Programme in support of Excellence groups of the Region of Murcia, Spain. Associate Investigator(with 7 other) for the project MTM2012-34037, 2013-2015; funded by the Ministry of Science and Innovation, Spain.

Principal Investigator for the ”Ramon y Cajal” starting grant ”Einstein metrics, almost Hermitian geometry and conformal foliations”, 2012-2014, funded by the Ministry of Science and Innovation, Spain.

Associate Investigator(with A.R.Gover as PI) for the Marsden Research grant no. 06UOA-029 of the Royal Society of New Zealand, 2006-2010. Project ”Invariant operators, Special structures and conformal techniques”. Several smaller grants as PI: Italian Research council(2009), Swiss National Research Fund(1998 and 2002),European Differential Geometry Endeavour(2001)

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