MATH255

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MATH 255 - Algebraic Curves

Mathematics Graduate CLS - College of Letters and Science

Subject

MATH

Course Number

255

Department

Course Level

Graduate

Course Title

Algebraic Curves

Course Description

Elliptic curves. Algebraic curves, Riemann surfaces, and function fields. Singularities. Riemann-Roch theorem, Hurwitz's theorem, projective embeddings and the canonical curve. Zeta functions of curves over finite fields. Additional topics such as Jacobians or the Riemann hypothesis.

Minimum Units

4

Maximum Units

4

Grading Basis

Default Letter Grade; S/U Option

Prerequisites

250A-250B or consent of instructor.

Repeat Rules

Course is not repeatable for credit.

Formats

Lecture

Term

Fall and Spring

Weeks

15 weeks

Weeks

15

Lecture Hours

3

Lecture Hours Min

3

Lecture Hours Max

3

Outside Work Hours

9

Outside Work Hours Min

9

Outside Work Hours Max

9