I fully endorse and apply, in my teaching, Federico Ardila's four 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.
UT Austin
Spring 2026. Math 427 J, Differential Equations with Linear Algebra; Math 346, Applied Linear Algebra
Fall 2025. Math 361 K, Intro. Real Analysis; Math 408 N, Calculus for Science
Spring 2025. Math 365 C, Real Analysis
Fall 2023, 2024. Math361 K, Introduction to Real Analysis
Spring 2023. Math 408 D, Sequences, Series; Intro Multivariate Calculus
Fall 2022. Math 408 M, Multivariate Calculus
UMass Amherst
Spring 2022: Exempt from teaching
Fall 2021: Exempt from teaching
Spring 2021: Instructor of record, Differential equations (M331.03 Full remote)
Fall 2020: Instructor of record, Differential equations (M331.03 full remote)
Fall 2020: Graduate TA/grader for M645: ODE and Dynamical Systems
Fall 2019: Instructor of record, Differential calculus (M131.19)
Spring 2019: Instructor of record, Differential calculus (M131.03)
Fall 2018: Instructor of record, Differential calculus (M131.09)
Spring 2018: Instructor of record, Integral calculus (M131)
Fall 2017: Recitation Differential calculus (M131.19, UMass)
Summer 2017: Online recitation calculus for life science majors (M127)
Spring 2017: Recitation differential calculus (M131)
Fall 2016: Recitation differential calculus (M131)
Spring 2016: Recitation differential calculus (M131)
Thrive Scholars (Amherst College)
Summer 2025. As faculty instructor
Taught selected topics in Calculus to a cohort of 57 high-achieving high school students from underrepresented and underprivileged backgrounds.
Summer 2018, 2019. As TA.
Supported faculty instruction by facilitating group discussions, guiding students through word problems, and reinforcing key Calculus concepts.