1 - Models for time-dependent parameters; investigate relations, limitations, differences etc. from using Ornstein-Uhlenbeck process, times series, basis representations, etc. 
2 - Problems of multiple objectives; Combining multi-objective optimization with uncertainty analysis.

3 - Methodologies for dealing with problems arising from investigating  model deficiencies, such as selection of appropriate priors, estimation  of hyperparameters, confounding, extrapolation, incorporating the bias into the analysis (inside the model, external, aditive, multiplicative, ... ) 
4 - Construction of emulators for dynamic systems.

5 - Numerical analisis in the presence of 'tehnical' (likelihood) confounding; appropriate Markov chain Monte Carlo algorithms; alternative numerical procedures.

6 - Exploration of alternatives to Gaussian processes for constructing  emulators as well as for model deficiency (bias) characterization.

7 - Constructing a probabilistic model to estimate spatial averages from point measurements with a particular application to rainfall and potential evapotranspiration.