The core build works because it fits Lissandra’s exact pattern: a short entry, heavy lockdown, then an immediate need to convert before dropping.
Amplifying Tome
CDR ultimate R Frozen Tomb for CC more often
AoE damage on R Frozen Tomb, perfect synergy
AP max for burst Q-W-E-R combo in teamfights
Sorcerer's Shoes
Stasis
Q+E+W combo triggers Electrocute on a target rooted or frozen instantly.
Strengthens pokes Q Ice Shard in early with force enemies to back off.
Each root (E roots, Q) triggers Cheap Shot to plus damage.
Scales AP with each kill facilitated by his CC massive.
Reduces incoming damage during his engages or when she freezes herself (R).