The salary after completing a PhD in mathematics in the United States can vary significantly depending on factors such as the industry, geographic location, and type of employment. On average, individuals with a PhD in mathematics working in academia, research institutions, or industry roles such as data science or finance can expect an annual salary ranging from approximately $70,000 to over $120,000. For example, entry-level positions or postdoctoral roles may start around $60,000 to $80,000, while experienced professionals or those in high-demand sectors can earn well above $100,000 annually. It's important to note that these figures are approximate and can fluctuate based on current market conditions, experience, and specialization within mathematics.