Research Topics
Logic
- finite model theory
- descriptive complexity theory
- strategy synthesis from logical specifications
Algorithms
- algorithmic graph structure theory
- algorithmic meta sentences
- certifying algorithms
- algorithmic theory of infinite graphs
- algorithmic group theory
- online algorithms
Automata Theory
- verification by methods of automata theory
- theory of finite automata on infinite objects
Complexity Theory
- parametric complexity theory
- complexity of constraint satisfaction problems
Database Theory
- expressive power and algorithmic aspects of query languages
- streaming and "big data" algorithms