How did Caesar defeat Vercingetorix at the battle of alesia in 52 bce?

Julius Caesar defeated Vercingetorix at the Battle of Alesia in 52 BCE by employing a combination of strategic fortifications and tactical maneuvers. He surrounded the Gallic forces with a series of fortifications, effectively besieging them while also fending off a relief army that Vercingetorix had sent for. Despite being outnumbered, Caesar's disciplined troops executed coordinated attacks, and he utilized the terrain to his advantage. The Gallic forces were ultimately forced to surrender due to starvation and the inability to break through the Roman defenses.