Luís Alexandre Pereira
Office 309, Department of Mathematics, University of Virginia,Charlottesville, VA 22904
I am currently the Mary Ann Pitts Post-Doctoral Fellow in Mathematics at University of Virginia. here is my CV
My area of study is Algebraic Topology.
In particular I am interested in Goodwillie calculus, the theory of operads and their Koszul duality,
and moreover, the interplay between these subjects.
More recently, I have taken an interest in the theory of equivariant operads.
My first major result on this topic was a generalization of Cisinski-Moerdijk-Weiss' dendroidal sets to the equivariant setting,
based on a new notion of equivariant trees.
Currently, I am in the process of using those equivariant trees to build a new algebraic structure,
which we dub "genuine equivariant operads", and showing that it provides an equivalent model to usual equivariant operads (joint with Peter Bonventre).
This Spring I am teaching