The document provides an overview of the PhD process at UCD School of Mathematical Sciences. It discusses the standards required for a PhD degree including independence, originality, contribution to knowledge, and work suitable for publication. It outlines the research process, emphasizing the importance of planning, execution, analysis, and reporting. It also discusses the responsibilities of students and supervisors, criteria for assessing PhD theses, authorship, and responsible research conduct. Throughout it emphasizes that a PhD requires solid, independent work to advance understanding in a research area.