Research
Research Interests
My research interests lie in the fields of Functional Analysis, Set Theory and Free Probability Theory. In particular, my research is focused on the theory of C*-algebras and Von Neumann algebras, the study of probabilistic methods in the non-commutative setting, as well as the application of set-theoretic methods in operator algebras.
Publications and Preprints
Borel Complexity of Non-Self-Adjoint AF Algebras (joint with N. Christopher Phillips), to appear
Bi-Free Entropy with Respect to Completely Positive Maps (joint with Paul Skoufranis, 2021), Canadian Journal of Mathematics, doi:10.4153/S0008414X23000366
On Bi-R-Diagonal Pairs of Operators (2019)
Embedding C*-algebras into the Calkin algebra (joint with Ilijas Farah and Andrea Vaccaro , 2018), International Mathematics Research Notices, https://doi.org/10.1093/imrn/rnz058
Recorded Presentations
Bi-Free Entropy with Respect to Completely Positive Maps, University of Virginia Seminar in Operator Theory and Operator Algebras, September 2021