To illustrate the wide field of research conducted in the Stieltjes Institute, in this chapter a research 'highlight' from each of the four main areas is presented.

For *Algebra and Geometry*, J. van Mill, professor of Mathematics at
the Free University at Amsterdam and permanent staff member of the programme
`Topology' has contributed a paper on `Function Spaces and the Topology
of Pointwise Convergence'.

For *Analysis*, E.M. Opdam, professor of Mathematics at the University
of Amsterdam and permanent staff member of the programme `Lie Theory and
Classical Analysis' discusses `Representation Theory of Algebraic Groups'.

*Stochastics* is represented by F.M. Dekking, professor of Statistics at
the Delft University of Technology and permanent staff member of the programma
`Probability' with a paper named `Markov Chains and Geology'.

For *Operations Research* such a highlight is `Heavy Tails and Queues'
by O.J. Boxma, professor at the Eindhoven University of Technology as well
as project leader at the Centre for Mathematics and Computer Science at
Amsterdam. Professor Boxma is a permanent staff member of the programme
`Stochastic Operations Research'.

- Function Spaces and the Topology of Pointwise Convergence
- Representation Theory of Algebraic Groups
- Markov Chains and Geology
- Stochastic Operations Research