ABOUT ME

My main area of expertise is functional analysis and order structures. I am particularly interested in the theory of unbounded locally solid topologies and uo-convergence in vector lattices. Uo convergence has recently been used by Gao, Xanthos, and et al. to prove several unsolved problems in mathematical finance (risk measures). My focus has been on interactions between uo-convergence and topology, and the developing connections between minimal and unbounded topologies. As I transition to Berkeley, my interests shift more towards Schauder bases and Operator Theory.