Math page of Thierry Monteil

Research interests

• Rational billiards and translation surfaces:
• illumination, finite blocking property, pure periodicity, torus branched coverings.
• generation of the homology of a translation surface with the periodic orbits of its geodesic flow.
• concrete translation surfaces.
• Symbolic dynamics:
• estimation of the number of ergodic invariant mesures of a subshift, Rauzy graphs.
• quasiperiodic subshifts.
• complexity of (multi-)substitutive subshifts.
• Dipohantine approximation and lattice reduction.
• Discrete geometry.
• Tilings.
• Models of computation.
• Graph theory, especially topological aspects.
• Other fields of interest: old fashion topology, Baire category theorem, geometry of Urysohn's space, and all this kind of Polish stuff...
• Other stuff on my blog.