Teaching
In Spring 2023, I am teaching Math 80620 Introduction to Algebraic Geometry II.
In Spring 2022, I taught Math 40510 Introduction to Algebraic Geometry.
In Fall 2021, I taught Math 20550 Calculus III.
In Spring 2021, I taught Introduction to Algebraic Geometry II.
In Spring 2020, I taught Math 20850 Linear Algebra and Differential Equations. The course webpage is here.
In Fall 2019, I taught Math 30710 Introduction to Abstract Algebra. The course webpage is through Sakai.
In Spring 2019, I taught Introduction to Algebraic Geometry II. It is a second-year graduate course following Hartshorne. Office hours are Thursday 1-2 and Friday 2-3
The homework assignments for the Spring:
Homework 1 (due Wednesday, 1/30): I.7.1, I.7.2, I.7.6
Homework 2 (due Monday, 2/11): I.7.5, I.7.7, I.7.8, III.2.2
Homework 3 (due Monday, 2/18): I.7.3, III.2.3, III.3.2
Homework 4 (due Monday, 3/4): III.4.3, III.5.1, III.5.2, III.6.2
Homework 5 (due Monday, 3/18): III.5.5, III.5.6, III.6.3
Homework 6 (due Monday 3/25): III.7.1, III.7.3, IV.1.1
Homework 7 (due Monday 4/1): IV.1.2, IV.1.3, IV.1.5, IV.1.6, IV.1.7a
Homework 8 (due Monday 4/8): IV.2.2, IV.2.3ac, IV.2.4, IV.2.5
Homework 9 (due Monday 4/15): IV.3.1, IV.3.2, IV.3.3
Homework 10 (due Wednesday 4/24): IV.3.4, IV.3.5, IV.3.6
Homework 11 (due Wednesday 5/1): III.9.3, III.9.7 (III.8.1 optional)
Fall 2018 I taught Math 60710, Introduction to Algebraic Geometry. It is a second-year graduate course following Hartshorne. My office hours are W 10:30-11:20 and Th 2-3. There is a problem session for the course Wednesdays 2-3pm in Debartolo 304.
The homework assignments are the following Hartshorne problems:
Homework 1 (due Friday 8/31): I.1.1ab, I.1.2, I.1.3, I.1.6, I.2.2, I.2.10
Homework 2 (due Friday 9/7): I.2.9, I.2.14, I.2.15, I.3.2, I.3.14 (don't worry about showing it's "cuspidal," just find the equation), I.3.16
Homework 3 (due Friday 9/14): I.4.3, I.4.4bc, I.4.7, I.4.10, I.5.1, I.5.6
Homework 4 (due Friday, 9/21): II.1.1, II.1.2, II.1.4 (we mentioned several of these results in class, so the point is to write a careful proof), II.1.14, II.1.19
Homework 5 (due Friday, 9/28): II.2.3 (feel free to use any commutative algebra facts you want), II.2.7, II.2.8, II.2.11, II.2.18 (note that this last one is a long problem, so budget your time accordingly)
Homework 6 (due Friday, 10/5): II.3.5, II.3.6, II.3.7, II.3.8, II.3.10
Homework 7 (due Friday, 10/12): Prove Corollary 4.6abd and Corollary 4.8acd (Hint: It's easier to do the part a's without the valuative criterion)
Homework 8 (due Friday, 10/26): II.1.8, II.1.17, II.5.5ac, II.5.7, II.5.8
Homework 9 (due Friday, 11/2): II.1.20a, II.5.1ab, II.5.6, II.5.10 (Hint: use II.5.9)
Homework 10 (due Friday 11/9): I.3.17bcd, I.5.3, II.6.1, II.6.6abc
Homework 11 (due Friday 11/16): I.2.11, I.3.20, II.6.8ab, II.6.12
Homework 12 (due Friday 11/30): II.7.2, II.7.3, II.7.5, II.7.7ab