The main goal of this tutorial is for students to discover some beautiful topics of
number theory and their connections with geometry. Here we will explore how
the rational numbers sit within the real number line and how geometric observations lead to number theoretic insights. We will also introduce elliptic curves and
consider the fundamental algebraic issues surrounding them. Our objective is
not only to develop an understanding and appreciation of interesting areas of
number theory but also to create and critically analyze original mathematical
ideas.
Format: Tutorial. Evaluation will be based primarily on performance on written
work, oral presentations, and examinations.
Prerequisites: permission of instructor (no number theory background required).
Enrollment limit: 10 (expected: 10). Students cannot enroll in both Mathematics 313 and 313T.