• Algebraic topology: Hit problem for the polynomial algebra and applications
• Computer algebra, Computational differential algebra, Singular theory, Real algebraic geometry
• Commutative algebra
• Number theory, Group theory
• Numerical approximation and linear algebra
• Functional analysis: Complex analysis in infinite dimension, Harmonic analysis, Operator theory, Mathematical inequalities and their applications, Integral transforms
• Dynamical systems, Mathematical physics
• Geometric analysis, Mathematical general relativity
• PDEs, Optimal control problems
• Semigroups of linear operators, Stochastic (partial) differential equations
• Control theory: Stability theory, Observer theory, Time-delay systems, Difference equations
• Three-way and multi-set common factor models
• Variational analysis, Optimization theory, Polynomial optimization