•​ Optimization theory and algorithms.

•​ Interior-point methods for convex programs.

•​ Decomposition methods for stochastic programs.

•​ Jordan algebras and applications to optimization.

•​ Algorithmic theory and complexity analysis.

•​ Second-order cone programming.

•​ Semidefinite programming.

•​ Semi-infinite programming.

•​ Programming in abstract spaces.

•​ Ramsey theory of graphs and combinatorial optimization.​​