Over the years, my teaching philosophy has become deeply influenced by my experiences as an organizer. As organizers, our power comes from our relationships with one another; we build those relationships, along with the political goals that move us to action, though holistic conversations where we can develop a common vision for a better world together. Here is my teaching philosophy. I approach critical STEM pedagogy by making space in class to talk honestly about the human contexts of mathematics, especially as related to students’ lived experiences.

**Carleton College:**

**Spring 2023**- Math 236: Mathematical structures.
- Math 400: Motion planning via persistent homology. (senior comps)

**Winter 2023**- Math 352: Representation theory.
- Math 400: Motion planning via persistent homology. (senior comps)

**Fall 2022**- Math 100: How chance changes the world.
- Math 342: Abstract algebra.

**Spring 2022**- Math 236: Mathematical structures.
- Math 400: Arithmetic topology and configurations on cubic surfaces. (senior comps)

**Winter 2022**- Math 120: Calculus II.

- Math 342: Abstract algebra.
- Math 400: Arithmetic topology and configurations on cubic surfaces. (senior comps)

**Fall 2021**- Math 120: Calculus II. (two sections)

**Past institutions:**

**University of California, Irvine**- Math 184: History of mathematics, Spring 2021. Instructor.

**University of Chicago**- Math 259: Honors algebra III, Spring 2017. College Fellow.
- Math 258: Honors algebra II, Winter 2017. College Fellow.
- Math 257: Honors algebra I, Fall 2016. College Fellow.

**New Mexico Tech**- Math 581: Introduction to algebraic geometry, Spring 2014. Co-lecturer.
- CSE 113: Introduction to computer science, Fall 2013
*.*Teaching Assistant. - CSE 122: Algorithms and data structures, Spring 2013
*.*Teaching Assistant.

Materials for past courses available on request.

**Summer teaching**:

**Collegiate Scholars Program**- How chance changes the world, 2021. Co-instructor.
- How chance changes the world, 2020. Co-instructor.
- Fractals, algorithms, and us, 2019. Instructor.
- Functions and topology, 2018. Co-instructor.
- Symmetry!, 2017. Teaching Assistant.

**University of Chicago REU**, 2015-2019.

Also, I write a lot of code to make cool visuals when I teach. My favorite language for this is Processing, which I learned in high school and was a hugely important step towards becoming a math professor. It can be incredibly buggy sometimes, but it’s great for getting something beautiful on the screen quickly. I used to post my code online (nearly a decade ago, wow!) here–it’s all legacy now, but I’ve maintained some of them and also occasionally upload new stuff I make for class. To the left is a screenshot from an applet I wrote in 2009, after talking with Melinda Green, that shows the orbits of points in the Mandelbrot mill. Math rocks!

Mathematical visualization is something I’ve always had a blast tinkering with. Here are some of the images and animations that I think are really gorgeous.