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The
PhD at Illinois represents a strong mathematical education and an
ability to apply mathematical ideas to solve new problems. Students
must master a broad range of mathematical topics in reasonable depth. A
strong faculty maintains standards for the quality of research
represented by the thesis. The large size of the department facilitates
both the breadth of topics available and the opportunity for research
and teaching n a variety of modes. Thus graduating students are
thoroughly prepared or their career.
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The
purpose of the PhD program at UIUC is to train our students to be
productive members of the mathematics enterprise. All students must
write a PhD thesis that is a sizable and original investigation into
mathematics. Many of our students go on to be successful research
mathematicians, others become college teachers, and some work in
industry. In all cases our program trains them by insisting on a high
intellectual standard. The size and diversity of our programs provide
students many opportunities for development in mathematics and in the
teaching of mathematics.
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Confirmation
of a PhD degree certifies that the recipient has demonstrated
sufficient level of achievement in scholarship and research so as to be
considered "a professional" and "colleague" by the community of
research scientists. The phrase "sufficient level of achievement" in
this contex carries with it the "promise" that professional activity is
likely to continue over the duration of a career.
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The
purpose of the PhD in Mathematics at UIUC is to learn something deep
and difficult--how to conduct research in mathematics. The construction
of a good mathematics research paper, with its careful and intricate
web of interconnecting statements and ideas, results in a work of art
that can match that of any artist.
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