Dartmouth College
Dartmouth College Summer Hybrid Undergraduate Research (SHUR)
- Summer 2022: Faculty, A computational approach to Legendrian knots
In this iteration, students are working on exploring the use of Legendrian invariants in filtered grid homology to study Lagrangian cobordisms.
- Summer 2021: Faculty, A graphical calculator for Legendrian knots
I co-founded with Ina Petkova a summer research project in low-dimensional topology with a computer science component; in the first iteration, students worked on building a graphical user interface to automate manipulation of front diagrams of Legendrian knots. The software continues to be in development.
Louisiana State University
- Spring 2020: Instructor (with David Shea Vela-Vick), Vertically Integrated Research
- Fall 2019: Instructor (with David Shea Vela-Vick), Vertically Integrated Research
- Fall 2019: Instructor, HONORS: Analytic Geometry and Calculus II
- Spring 2019: Instructor (with David Shea Vela-Vick), Vertically Integrated Research
- Fall 2018: Instructor, Seminar in Geometry and Algebraic Topology: Heegaard Floer Homology
- Fall 2018: Instructor (with David Shea Vela-Vick), Vertically Integrated Research
- Fall 2017: Instructor, Analytic Geometry and Calculus I
Columbia University
- Summer 2017: Instructor, Calculus II
- Spring 2017: Instructor, Undergraduate Seminars II
- Fall 2016: Instructor, Undergraduate Seminars I
- Summer 2016: Department Assistant
- Summer 2016: Instructor (with S. Ali Altuğ), Analysis and Optimization
- Summer 2016: Teaching Assistant, Calculus II (Vivek Pal)
- Spring 2016: Instructor, Calculus I
- Fall 2015: Teaching Assistant, Calculus III (Eric Urban)
- Spring 2015: Teaching Assistant, Calculus III (Wei Zhang)
- Fall 2014: Instructor, Calculus II
- Summer 2014: Teaching Assistant, Introduction to Modern Analysis (Michael Woodbury)
- Spring 2014: Teaching Assistant, Linear Algebra (Davesh Maulik)
- Fall 2013: Teaching Assistant, Calculus III (Eric Urban)
Columbia University REU
Columbia University Science Honors Program
- Spring 2016: Instructor, Knots and Manifolds
- Fall 2015: Instructor, Knots and Manifolds
- Fall 2014: Instructor (with Andrea Heyman), Knot Theory
- Spring 2014: Instructor (with Andrea Heyman), Knot Theory
I taught knot theory and manifold theory in a Saturday morning program to interested high school students in the tenth, eleventh and twelfth grades in the Greater New York area.
The Chinese University of Hong Kong: Enrichment Programme for Young Mathematics Talents
- Summer 2013: Teaching Assistant, Towards Differential Geometry (Chi Hin Lau)
I taught talented high school students in Form 4, 5 and 6, in tutorial sessions, to solidify their understanding of concepts such as the curvature of a curve, geodesics, and the Gaußian curvature of a surface. I presented the proof of the Gauß–Bonnet Theorem in the final session.