Jen Paulhus, Ph.D.

Senior Seminar: Riemann Surfaces

email: paulhus@math.grinnell.edu     pgp key
Office Hours: Monday 1:30-2:30 PM, Tuesday 3-4:30 PM, Friday 9:30-10:30 AM, or by appointment
Class Meetings: 1:00-2:20 PM Tuesday, Thursday

Syllabus
Homework
Projects

Daily Topics

Class Date Assignment
Jan. 23 Miranda: pg 1, Lee: Appendix B
Jan. 25 Lee: pgs 19-30 (peruse pgs 4-17), Miranda: pg 2
Jan. 30 Bak and Newman: pgs 1-9, 12-16, 21-27
Feb. 1 Bak and Newman: pgs 27-32, 35-41
Feb. 6 Bak and Newman: pgs 45-56
Feb. 8 Bak and Newman: pgs 59-66 (up to and including Liouville's Theorem), pgs 77-79
Feb. 13 Bak and Newman: pgs 80-86 (up to and including Maximum Modulus Theorem), Lee: pgs 30-35, 49-50, 65-67, Miranda: pgs 1-top of 5
Feb. 15 Silverman: pgs 265-270, Miranda: pgs 7-12, Cavalieri and Miles: pgs 35-41
Feb. 20 Recap prior material we haven't covered yet, and Miranda: pgs 13-14
Feb. 22 No class
Feb. 27 Miranda: pgs 13-16, Bak & Newman: pgs 107-115 (also Theorems 7.1, 7.4, and 7.7)
Feb. 29 Article on square roots, Miranda: pgs 21-23, Bak & Newman: pgs 117-119
Mar. 5 Bak & Newman: pgs 120-125 (just before 9.13), Miranda: pgs 23-25 (skip example 1.23)
Mar. 7 Miranda pgs 26-27 (before C infinity section), 28(bottom)-29, 30-33, 35-36
Mar. 12 Miranda pgs. 38-42 (before Meromorphic Functions On Complex Torus section), 44-45
π Day Miranda pgs. 46-49, 50 (bottom) - 53 (top)
Apr. 2 Mileti pgs. 133-137, Miranda pgs. 75 - top of 77
Apr. 4 Miranda pgs. 77-80 (up to and including Lemma 3.8) and 82 (Hurwitz's Theorem on Automorphisms), Cavalieri & Miles: pgs. 63-74
Apr. 9 No class: eclipse! Work on projects.
Apr. 11 Cavalieri & Miles: pgs. 75-79, Miranda: pgs. 84-88 and 80 (bottom)-82 (top)
Apr. 16 Cavalieri & Miles: pgs. 80-86 and 91-95
Apr. 18 Work on projects in class.
Apr. 23 Miranda: pgs. 88 (bottom)-92 (top), Cavalieri & Miles: pgs. 96-101
Apr. 25 Work on projects in class.

Homework Assignments

HW Due Date Problems
# PS 1 Feb. 12 B&N Ch 1: 8, 15(a)(d)(f) Ch 2: 9, 12 Ch 3: 2, 5 Ch 4: 9
# PS 2 Feb. 27 B&N Ch 5: 4, 5, 6 and Ch 6: 3, 8, Lee: Ch 2 #2-11 and Ch 3 Exercise 3.46
# PS 3 Mar. 15 (8 AM Mar. 16) Miranda Chapter I: 1.E, 1.G, 2.C, 3.A, 3.D
Project Assignment #2 Mar. 15 (8 AM Mar. 18) see description below
Project Assignment #2.5 Apr. 5 see description below
Project Assignment #3 Apr. 12 see description below
# PS 4 Apr. 17 Miranda Chapter II: 2.A, 3.C, 3.F, 3.G and 3.H, 4.G
Project Assignment #4 Apr. 19 see description below
Project Assignment #5 Apr. 26 see description below
# PS 5 May 3 Miranda Chapter III: 3.B, 3.H, 4.F

Research Projects

Project Overview and Instruction (last edited: Apr. 3)
Possible Project Descriptions