Ph.D. in Mathematics is a terminal degree that usually requires 4-7 years to accomplish after acquiring a bachelor's degree. The curriculum comprises advanced coursework in pure and applied mathematics, as well as independent research that leads to the completion of a doctorate research. PhD students acquire proficiency in abstract algebra, real and complex analysis, topology, and discrete mathematics. The degree prepares graduates for academic careers as university professors and researchers, as well as jobs in industries such as banking, technology, and government that require strong quantitative and problem-solving abilities.