- Silverman's work has been in number theory, arithmetic geometry, arithmetic dynamics and cryptography.
- "Global arithmetic dynamics " refers to the study of analogues of classical Fatou and Julia sets.
- Other nearby areas of mathematics include combinatorics, number theory, arithmetic dynamics, analytic functions, and non-standard analysis.
- In 2015 he was elected as a fellow of the American Mathematical Society " for contributions to arithmetic potential theory, computational number theory, and arithmetic dynamics ".
- It's difficult to find arithmetic dynamics in a sentence. 用arithmetic dynamics造句挺难的