Sixth-year math graduate student at Stanford.

I am advised by both Rick Schoen and Robert Bryant (Duke).

calibrated geometry, gauge theory

Fall 2009

Spring 2011

Spring 2012

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)

- 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.

- 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.