Sixth-year math graduate student at Stanford.
I am advised by both Rick Schoen and Robert Bryant (Duke).
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, their calibrated submanifolds, and gauge-theoretic objects on them. More broadly, I'm interested in Einstein metrics and minimal submanifolds.
My recent work is on nearly-Kahler 6-manifolds of cohomogeneity-two.
Research Statement
Curriculum Vitae (as of October 2017)
Teaching
Current teaching: Instructor for Math 19.
Office Hours: Mondays (10:30 - 12:00) + Tuesdays (TBD)
Review Sheets for Students:
Seminars organized:
The Cartan-Janet Theorem: Local isometric embedding of real-analytic metrics into euclidean space.
I am interested in Riemannian manifolds with special holonomy, their calibrated submanifolds, and gauge-theoretic objects on them. More broadly, I'm interested in Einstein metrics and minimal submanifolds.
My recent work is on nearly-Kahler 6-manifolds of cohomogeneity-two.
Research Statement
Curriculum Vitae (as of October 2017)
Teaching
Current teaching: Instructor for Math 19.
Office Hours: Mondays (10:30 - 12:00) + Tuesdays (TBD)
Review Sheets for Students:
- Math 19 (Win 2018): Foundations, Theory Sheets, Problem Sheets
- 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
- Summer 2017: I was an Instructor for Math 19.
- 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 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.
The Cartan-Janet Theorem: Local isometric embedding of real-analytic metrics into euclidean space.