The are several treatments for warts, and sometimes the combination of more treatment is necessary to achieve better results.
Cryotherapy: liquid nitrogen is used to freeze warts. Usually a couple of treatments are required (every 7-14 days). Freezing works by causing a blister to form under and around your wart.
Stronger peeling medicine (salicylic acid): prescription-strength wart medications work by removing layers of a wart a little bit at a time.
Minor surgery: your dermatologist can cut away the bothersome tissue. However, this may leave a scar in the treated area.