My main research is on distance-biregular graphs. From an algebraic perspective, distance-biregular graphs can be seen as a generalization of bipartite distance-regular graphs, with similarly nice algebraic and structural properties. Distance-biregular graphs also arise as extremal examples of graphs with certain structural or spectral properties, and some incidence structures coming from design theory and finite geometry give rise to distance-biregular graphs.

I am also interested in orthogonal polynomials and quantum walks.



  • New Characterizations of Distance-Biregular Graphs (on Youtube)
  • A Spectral Moore Bound for Bipartite Semiregular Graphs (on Youtube)
  • Monogamy Violations in Perfect State Transfer (on Youtube)