Fifth-year math graduate student at Stanford.
I am advised by both Rick Schoen and Robert Bryant (Duke).
My CV as of November 2016 is here.

Office: Room 380-T (basement of building 380)
E-mail: jmadnick [at] stanford [dot] edu

Interests: Differential geometry, special holonomy,
calibrated geometry, gauge theory



Solutions to past algebra quals:
Fall 2009
Spring 2011
Spring 2012

Research

I am interested in Riemannian manifolds with special holonomy. In particular, I am thinking about nearly Kahler 6-manifolds and group actions on them.


Teaching

Current teaching: Instructor for Math 19 (Summer 2017)
Office Hours:

• Mon: 11:30 - 12:30
• Tue: 1:30 - 2:30

Review Sheets for Students:

• Math 19 (Sum 2017): Foundations, Theory Sheets, Problem Sheets
• Math 51 (Spr 2017): Review Set 1, Review Set 2, Review Set 3
• Math 51 (Win 2016): Review Set 1, Review Set 2, Review Set 3
• Math 53 (Fall 2016): Review Set 1, Review Problems 1, Review Set 2, Review Problems 2, Review Set 3, Problems from Section

Previous teaching:

• Spring 2017: I was a TA for Math 51.
• Fall 2016: I was a TA for Math 53.
• Spring 2016: I was a CA for Math 52.
• Winter 2016: I was a TA for Math 51.
• Summer 2015: I was a drop-in TA at SUMaC (Program II).
• Spring 2015: I was the CA for Math 177.
• Winter 2015: I was a TA for Math 42.
• Summer 2014: I was a drop-in TA at SUMaC (Program II).
• Winter 2014: I was the CA for Math 19.
• Fall 2013: I was a TA for Math 41.

Seminars

Seminars organized:

• Fall 2014: I co-organized the Duke University Graduate Student Geometry Seminar.
• 2013-2014: I co-organized the Faculty Area Research Seminar (FARS).
• Winter 2014: I organized the Cartan Seminar.

Notes from talks I've given (unpolished):

1. The Cartan-Janet Theorem: Local isometric embedding of real-analytic metrics into euclidean space.