As a part of an EPSRC New Horizons Project, joint with
Animesh Datta (Warwick Physics), this postion is predominantly in quantum algorithms, as well as quantum complexity theory and information theory. This includes (but not limited to): quantum property testing, quantum coding theory, quantum interactive proofs, and quantum learning theory.
As a part of an UKRI Future Leaders Project, this position is in sublinear algorithms and complexity theory. This includes topics such as: PCPs, interactive proofs, locally testable codes, locally decodable codes, property testing, analysis of Boolean functions, learning theory, streaming algorithms, communication complexity, and distribution testing.