Here are the slides used for the course Algebraicity and transcendence of power series: combinatorial and computational aspects, given at the 3rd Algorithmic and Enumerative Combinatorics Summer School 2016 from 1st to 5 August 2016.

1. Lecture 1: Context and Examples.
2. Lecture 2: Properties and Criteria, 1.
3. Lecture 3: Properties and Criteria, 2.
4. Lecture 4: Algorithmic Proofs of Algebraicity.
5. Lecture 5: Transcendence in Lattice Path Combinatorics.
6. Problem session 1.
7. Problem session 2.