## Simple closed curves on surfaces

**Goal:**
Compute the maximum number of non-homotopic simple closed curves that
can fit on a surface of small genus so that two curves intersect at most once
(or at most N times, for N small).

Focus on the special case where this family of curves contains a maximal
family of non-intersecting curves (a pants decomposition).

**Schedule:** June-July 2014.

**Persons involved:**

Léonard Cadilhac, 2nd year student at ENS de Lyon, visiting UL.
Advised by Jean-Marc Schlenker.
**Difficulty level:**
Advanced / research level.

**Tools:**
Programs in C++.

**Results:**
see Report.