From the Contemporary Mathematics series: Symmetries and Integrability of Difference Equations, this volume contains a collection of six lecture notes from the Abecedarian School of SIDE15 (ASIDE15-Milano-Italy), held before the 15th International Conference on Symmetries and Integrability of Difference Equations. This book introduces contemporary research topics in discrete integrable systems, including applications of classical algebraic geometry, classical and modified Yang-Baxter equations, r-matrices, Fermi-Pasta-Ulam-Tsingou-type models, Hamiltonian approaches to differential-difference equations, and orthogonal polynomials with connections to discrete Painlevé equations. Access via your institution: Buy the volume: Don’t have access? Ask your library to contact cust-serv@ams.org to subscribe!