Combinatorial matrix theory; so the study of certain classes of matrices from a combinatorial point of view, or geometric, using convexity and polyhedral theory. Recent focused activities include majorization order and polytopes, classes of (0,1)-matrices with given line sums, doubly stochastic matrices, interval polytopes, matrix ranking methods in tennis(!) , Birkhoff polytopes, spectral graph theory etc.. My CV is here.
MAT1120 Linear algebra (I often lecture this course with Erik Bedos)
MAT3100 Linear optimization
MAT4120/MAT9120 Mathematical optimization
Reading course in different topics: graph theory, convexity, matrix theory