PhD in Department of Mathematics

The Department of Mathematics at National Taiwan Normal University, situated in northern Taiwan, offers a doctoral program delivered in English. Doctoral study in mathematics centers on original research within a chosen subfield, which may include algebra, analysis, topology, differential equations, probability, mathematical statistics, or numerical and computational mathematics, depending on faculty expertise and student interest. Candidates work under the supervision of an advisor to identify open problems, develop new theoretical results or methods, and defend a dissertation that represents an original contribution to mathematical knowledge. The path to a doctorate typically builds on a master's degree or equivalent advanced training in mathematics, requiring strong command of proof-based reasoning and the ability to work independently on unsolved problems over an extended period. Alongside research, doctoral students often gain experience presenting findings, writing for publication, and in some cases teaching or mentoring undergraduate students. Graduates of mathematics doctoral programs pursue careers primarily in academic research and teaching, but also in research-intensive roles in finance, technology, government, and industry, where advanced mathematical modeling and analysis are required. The discipline's emphasis on rigorous logical argument and abstract problem-solving makes doctoral-level mathematicians well suited to work spanning theoretical research and applied quantitative analysis. As an English-taught program based in Taiwan, it is structured to accommodate international doctoral candidates studying alongside domestic students in a research environment centered on mathematical inquiry.