Sophomores, please read me: If you consider yourself a Sophomore in academic year 2021-22 and the IntroSems' VCA shows you in a different cohort (i.e., Frosh or Junior), please make a note of your correct cohort within your statement of interest. It is not possible to change the cohort field in the IntroSems' VCA, but the instructor will see your note when they build their class.
IntroSems quarters and schedules subject to change--check back often. Visit Re-Approaching Stanford for the latest updates on Academic Year 2021-22.
Mathematics of Knots, Braids, Links, and Tangles
In this seminar, students will investigate several questions involving knots, braids, and other similar objects. We will explore some interesting types of knots and learn how they can be distinguished from one another by means of numerical or polynomial invariants. All knots and links occur as boundaries of two-dimensional surfaces in space, so the seminar will include an introduction to the topology of surfaces. We will study both the geometry and algebra of braids, including their relationships to knots and links. Topics for further investigation might include applications of concepts from knot theory to biology, chemistry, and physics.