Leila Khatami

Areas of interest

My main research interests lie in the field of commutative algebra, with connections to algebraic geometry and homological algebra. Early in my career, my research was focused on the use of homological methods in commutative algebra. More specifically, I studied Gorenstein dimensions of modules over commutative local rings. In recent years, my research has shifted directions to include problems concerning pairs of commuting nilpotent matrices. My interest in this project originates from my commutative algebra background and my algebraic geometry interests, while the nature of the study has invited the use of additional tools from algebraic combinatorics and representation theory.