I did my MSc (2008) and my PhD (2012) at the University of São Paulo in São Carlos, Brazil, under the supervision of Daniel Vanzella. Following that I held a São Paulo Research Foundation (FAPESP) post-doctoral fellowship at the São Paulo State University in São Paulo. Then I moved to the Department of Mathematics at the University of York as a visiting post-doc with a grant from the Brazilian National Council for Scientific and Technological Development (CNPq), after which I held a post-doctoral position at the Federal University of ABC in Santo André, Brazil.
My research interests lie on the behaviour of quantum fields on curved spacetimes. This approach, albeit semiclassical, has unveiled fascinating connections between quantum theory and the nature of space and time as described by general relativity, viz., black hole evaporation. It also constitutes a gateway to the study of low-energy quantum gravity effects during the early stages of our Universe.
In the research project I am currently involved with, we are looking at the relationship between the Euclidean and the in-in formulations of interacting quantum fields in static spacetimes with a bifurcate Killing horizons. This includes the Schwarzschild black hole and de Sitter spacetime, relevant to cosmology. The equivalence between those formulations is unknown for general spacetimes, although it is a well-established fact in flat spacetime. This is an important issue as it will help us, e.g., to corroborate or discard claims of strong low-energy quantum gravity effects occurring in the early Universe, which defy that equivalence. This project is funded by a grant from the Leverhulme Trust.
My INSPIRE-HEP profile: http://inspirehep.net/author/profile/W.C.C.Lima.1