MATH 395H - Elliptic Curves

Institution:

Bates College

Subject:

Description:

An elliptic curve is defined as the set of points of a cubic polynomial in two variables. Interestingly, one can add any two points on the curve to get another point on the curve. In this way, the points form a group. These groups are used in various areas of mathematics, including cryptography, primality testing, and the proof of Fermat's last theorem. After an introduction to the basics, each student studies various aspects of elliptic curves, drawing from previous knowledge in abstract algebra, analysis, geometry, and number theory. Prerequisite(s): Mathematics 301 and 309. Open to seniors only. Not open to students who have received credit for Mathematics 457 or 458. Enrollment limited to 10. Staff.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.bates.edu/

Phone Number:

(207) 786-6000

Regional Accreditation:

New England Association of Schools and Colleges

Calendar System:

Four-one-four plan

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