My main research interests lie with solving mathematical and computational problems motivated by questions in quantum information theory. In particular, I make use of linear algebra, matrix analysis, and convex optimization to tackle questions related to the theory of quantum entanglement. My recent work has focused on investigating how things like matrix norms and eigenvalues can reveal properties of quantum entanglement, and finding methods to determine whether a given quantum state is separable or entangled.

• Curriculum Vitae [pdf]
• Mount Allison Bio
• Find me on: Google Scholar, MathOverflow, Twitter, YouTube
• Matthew D. Johnston (my brother, also a math professor)