- Calculus of variation, scientific computing
- Optimal transportation, irrigation problems
- Eigenvalues of Laplace operator, spectral optimization
- Shape optimization in geometry, Optimal tiling, Alexandrov’s problem, Newton’s problem, Convexity constraint, Sets of constant width, Cheeger’s sets, etc.
- Stochastic and exact methods in global optimization (homogeneization, branch and bound algorithms, genetic algorithm, etc.)