Mathematician

Definition
A mathematician is a person with an extensive knowledge of mathematics who uses this knowledge in their work, typically to solve mathematical problems.

Mathematics is concerned with numbers, data , quantity , structure , space , models and change.

Required Education
 Mathematicians usually cover a breadth of topics within mathematics in their undergraduate education, and then proceed to specialize in topics of their own choice at the graduate-level. In some universities, a qualifying exam serves to test both the breadth and depth of a student's understanding of mathematics; the students, who pass, are permitted to work on a PhD dissertation.

Applied mathematics
Solving problems with applications in real life

Abstract mathematics
Mathematics that studies entirely abstract concepts.

Mathematics teaching
Professional mathematicians also engage in the teaching of mathematics.

Consulting
Many careers in mathematics outside of universities involve consulting.