Teaching, mentoring and outreach
I firmly believe Federico Ardila's basic axioms:
Axiom 1. Mathematical potential is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.
Axiom 2. Everyone can have joyful, meaningful, and empowering mathematical experiences.
Axiom 3. Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
Axiom 4. Every student deserves to be treated with dignity and respect.
Instructor
Elementary Calculus I, Summer 2020 & 2022
Elementary Calculus II, Fall 2020
Teaching assistant
Calculus I, Spring 2019 & 2020
Calculus II, Spring/Fall 2018, Fall 2022
Applied Probability and Statistics, Fall 2017
Grader
Spring 2022: Field Theory, Graduate Algebra I
Spring 2021: Introduction to Abstract Algebra
Fall 2021: Linear Algebra, Combinatorics
Fall 2019: Lie Groups, Graduate Algebra I
Summer school tutor
Summer 2022: Tutor for the course Realizing representations of p-adic groups using affine Deligne-Lusztig varieties at an ATM workshop, IIT Bombay, India.
Summer 2016: Lecturer for the course Basics of Lie Groups at a summer camp for masters students, IMSc, India.
Directed Reading Program (DRP)
I am an organizer of the Directed Reading Program at UMD, and I have served as a mentor on the following one-to-one semester-long reading projects with undergrad students:
Spring 2022: Hecke algebras and Kazhdan-Lusztig polynomials, Karthik Sellakumaran Latha.
Fall 2021: An introduction to graph theory and travelling salesman problem, Xinyue Li.
Spring 2021: Finite groups of Lie type, Jackson Reynolds.
Fall 2019: Classification of complex semisimple Lie algebras, Kyle Reese.
Spring 2019: Representation theory of complex Lie groups, Siddharth Taneja.
Fall 2018: Elliptic curves and their applications, Ifeanyi Iyke-Azubogu.
Spring 2017: Cayley graphs and expander families, Evan Mclntire
Girls Talk Math (GTM) - UMD chapter
I co-designed (along with Sharmila Duppala) introductory material on Group Theory for greater DC-metro area high school students from underrepresented gender, at the Girls Talk Math program during the summer of 2021.
I served as lead curriculum developer for the in-person summer camp of 2022.