Doctor of Philosophy in Pure Mathematics - Algebra and Logic

University of Waterloo

The Department offers exciting and challenging programs leading to MMath and PhD degrees. A broad range of courses are offered, covering the spectrum of pure mathematics. As well, students are welcome to take relevant courses in other departments in the University. All students work one-on-one with their supervisor to prepare a research paper or thesis for their master's degree, and to be guided through the process of doing original research for their PhD. Graduate students are provided with excellent financial support through a combination of teaching assistantships, research assistantships, and internal scholarships and awards. The cost of living in Waterloo is quite reasonable. Each program is tailored to the needs and interests of the individual students. Many of our graduates become university mathematics professors. Some study advanced mathematics as a foundation for more applied studies. Other common careers for our graduates are in the computer industry, teaching at the high school or college level, or in business, particularly the financial industry. There is no shortage of intellectually rewarding jobs for Pure Mathematics graduates. Algebra, as it is studied in modern mathematics, is the systematic generalization of arithmetic needed to model or "coordinatize" objects of interest to mathematicians, using numbers (or their generalizations) and "natural" operations on them. As the objects being modelled can be quite varied, so are the various branches of modern algebra.