While at Oxford, Martinez worked in the Information Systems group on topics centred on knowledge representation and reasoning; She mostly worked on the development of inconsistency-tolerant semantics for query answering for different ontology languages, reasoning with preferences, and group decision making in the context of a Google Research Award and the PrOQAW EPSRC grant; she was also co-founder and secretary of the Oxford Women in Computer Science Society (OxWoCS).

Martinez is currently a researcher for CONICET in the Institute for Computer Science (ICC) and a visiting professor at the Department of Computer Science in Universidad de Buenos Aires in Argentina.