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

  1. Elementary Calculus I, Summer 2020 & 2022

  2. Elementary Calculus II, Fall 2020

Teaching assistant

  1. Calculus I, Spring 2019 & 2020

  2. Calculus II, Spring/Fall 2018, Fall 2022

  3. Applied Probability and Statistics, Fall 2017

Grader

  1. Spring 2022: Field Theory, Graduate Algebra I

  2. Spring 2021: Introduction to Abstract Algebra

  3. Fall 2021: Linear Algebra, Combinatorics

  4. Fall 2019: Lie Groups, Graduate Algebra I

Summer school tutor

  1. Summer 2022: Tutor for the course Realizing representations of p-adic groups using affine Deligne-Lusztig varieties at an ATM workshop, IIT Bombay, India.

  2. 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:

  1. Spring 2022: Hecke algebras and Kazhdan-Lusztig polynomials, Karthik Sellakumaran Latha.

  2. Fall 2021: An introduction to graph theory and travelling salesman problem, Xinyue Li.

  3. Spring 2021: Finite groups of Lie type, Jackson Reynolds.

  4. Fall 2019: Classification of complex semisimple Lie algebras, Kyle Reese.

  5. Spring 2019: Representation theory of complex Lie groups, Siddharth Taneja.

  6. Fall 2018: Elliptic curves and their applications, Ifeanyi Iyke-Azubogu.

  7. 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.