@ Harvard

  • Math 261x: Embedded Contact Homology. Fall 2019

Description: ECH is one of the 3 isomorphic Floer homologies which apply to 3-manifolds, (symplectic) 4-manifolds, and relations between them. It is defined by "counting" holomorphic curves and periodic orbits, and a big part of this course will be to study its foundations and difficulties (which plague other contact homologies). Some applications of ECH to be described include 1) distinguishing contact 3-manifolds and symplectic 4-manifolds, 2) the Weinstein conjecture on the existence of periodic orbits, and 3) the relations to Seiberg-Witten theory.

  • Math 21B: Linear Algebra with Differential Equations. Spring 2020


@ UC Berkeley

  • Math 32: Precalculus (Teaching Assistant). Spring 2017, Spring 2018

  • Math W53: Multivariable Calculus (Teaching Assistant). Summer 2017

  • Math 191: Knot Theory (Instructor). Spring 2016 ..... SyllabusProjectsSketched Lectures

  • Physics C10: Physics for Future Presidents (Teaching Assistant). Fall 2012

  • Physics 7A: Newtonian Mechanics (Teaching Assistant). Fall 2011, Spring 2012, Summer 2012